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			</style>[an error occurred while processing this directive]<div class="content-width"><ol class="breadcrumb text-uppercase"><li><a href="/">Home</a></li><li><a href="/aboutus/">About Us</a></li><li><a href="/people/">People</a></li><li><a href="/people/faculty.html">Faculty</a></li><li><a href="/people/David.Kay"><span itemprop="name">David Kay</span></a></li><li class="active">Publications</li></ol></div><!-- MOBILE NAVIGATION --><div class="content-width space-below mobile-menu-placeholder visible-xs visible-sm"></div><!-- COLUMNS --><div class="container-fluid content-width"><div class="row"><div class="col-xs-12 col-md-9 col-md-push-3" id="maincontent"><!-- CONTENT (Column 2) --><div class="page-title"><h1>David Kay : Publications
</h1></div><div role="toolbar" class="btn-toolbar"><div class="btn-group"><a href="/people/publications/date/David.Kay.html" aria-hidden="true" type="button" class="btn btn-default"><span class="glyphicon glyphicon-sort-by-attributes"></span> By date</a><a href="/people/publications/title/David.Kay.html" aria-hidden="true" type="button" class="btn btn-default"><span class="glyphicon glyphicon-sort-by-attributes"></span> By title</a><a href="/people/publications/type/David.Kay.html" aria-hidden="true" type="button" class="btn btn-oxford-blue"><span class="glyphicon glyphicon-sort-by-attributes"></span> By type</a><a href="/people/publications/bibtex/David.Kay.html" aria-hidden="true" type="button" class="btn btn-default"><span class="glyphicon glyphicon-file"></span> BibTex</a></div></div><p></p><h2>
      Books
      </h2><ul class="list-unbulleted list-unbulleted-spaced"><li>
	
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	<p class="publicationTitle"> <strong>
            The P&#x2212;and Hp&#x2212;Finite Element Method Applied to a Class of Non&#x2212;linear Elliptic Partial Differential Equations </strong> </p>
	    <p class="publicationAuthors"> <em> D. Kay  </em> </p>
	
	<p class="publicationDetails"> University of Leicester.
        1997.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication6038-abstract.html">
			Details <span class="sr-only" > about <em> The P&#x2212;and Hp&#x2212;Finite Element Method Applied to a Class of Non&#x2212;linear Elliptic Partial Differential Equations  </em></span> </a> |
			<a href="/publications/publication6038.bib">
			BibTeX  <span class="sr-only" > data for <em> The P&#x2212;and Hp&#x2212;Finite Element Method Applied to a Class of Non&#x2212;linear Elliptic Partial Differential Equations  </em></span>   </a>
			
			
		
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	</div> 
	
        </li></ul><h2>
      Book chapters
      </h2><ul class="list-unbulleted list-unbulleted-spaced"><li>
	
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				[1] 
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	<p class="publicationTitle"> <strong>
            Inert&#x2212;Gas Washout And Forced Oscillation Technique Show Sensitivity To The Degree Of Regionalisation Of Bronchoconstriction </strong> </p>
	    <p class="publicationAuthors"> <em> Brody H Foy and David Kay  </em> </p>
	
	<p class="publicationDetails"> 
            In  
            <em>
            B109. ADVANCES IN PULMONARY MEASUREMENTS&#x201a; MODELING&#x201a; AND METHODOLOGY</em>.
        
                Pages A4881&#x2013;A4881.
            American Thoracic Society.
        2017.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication11006-abstract.html">
			Details <span class="sr-only" > about <em> Inert&#x2212;Gas Washout And Forced Oscillation Technique Show Sensitivity To The Degree Of Regionalisation Of Bronchoconstriction  </em></span> </a> |
			<a href="/publications/publication11006.bib">
			BibTeX  <span class="sr-only" > data for <em> Inert&#x2212;Gas Washout And Forced Oscillation Technique Show Sensitivity To The Degree Of Regionalisation Of Bronchoconstriction  </em></span>   </a>
			
			
		
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				[2] 
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	<p class="publicationTitle"> <strong>
            Understanding the interdependence between parenchymal deformation and ventilation in obstructive lung disease </strong> </p>
	    <p class="publicationAuthors"> <em> Lorenz U Berger&#x201a; Rafel Bordas&#x201a; Kelly Burrowes&#x201a; Chris E Brightling&#x201a; Ruth Hartley and David Kay  </em> </p>
	
	<p class="publicationDetails"> 
            In  
            <em>
            B30. DYNAMICS OF AIRWAY NARROWING IN ASTHMA: STILL MISUNDERSTOOD?</em>.
        
                Pages A2677&#x2013;A2677.
            American Thoracic Society.
        2014.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication10987-abstract.html">
			Details <span class="sr-only" > about <em> Understanding the interdependence between parenchymal deformation and ventilation in obstructive lung disease  </em></span> </a> |
			<a href="/publications/publication10987.bib">
			BibTeX  <span class="sr-only" > data for <em> Understanding the interdependence between parenchymal deformation and ventilation in obstructive lung disease  </em></span>   </a>
			
			
		
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	<p class="publicationTitle"> <strong>
            How Does Parenchymal Stress Distribution Change During Airway Remodeling? </strong> </p>
	    <p class="publicationAuthors"> <em> Rafel Bordas&#x201a; David Kay&#x201a; Vicente Grau and Kelly Burrowes  </em> </p>
	
	<p class="publicationDetails"> 
            In  
            <em>
            A66. MODELING&#x201a; MECHANICS AND GAS EXCHANGE</em>.
        
                Pages A2069&#x2013;A2069.
            American Thoracic Society.
        2012.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication10986-abstract.html">
			Details <span class="sr-only" > about <em> How Does Parenchymal Stress Distribution Change During Airway Remodeling?  </em></span> </a> |
			<a href="/publications/publication10986.bib">
			BibTeX  <span class="sr-only" > data for <em> How Does Parenchymal Stress Distribution Change During Airway Remodeling?  </em></span>   </a>
			
			
		
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	<p class="publicationTitle"> <strong>
            Predicting ventilation distribution: A model of coupled acinar dynamics and pressure distribution in the conducting airways </strong> </p>
	    <p class="publicationAuthors"> <em> Minsuok Kim&#x201a; Vicente Grau&#x201a; David Kay and Kelly Burrowes  </em> </p>
	
	<p class="publicationDetails"> 
            In  
            <em>
            A66. MODELING&#x201a; MECHANICS AND GAS EXCHANGE</em>.
        
                Pages A2068&#x2013;A2068.
            American Thoracic Society.
        2012.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication10985-abstract.html">
			Details <span class="sr-only" > about <em> Predicting ventilation distribution: A model of coupled acinar dynamics and pressure distribution in the conducting airways  </em></span> </a> |
			<a href="/publications/publication10985.bib">
			BibTeX  <span class="sr-only" > data for <em> Predicting ventilation distribution: A model of coupled acinar dynamics and pressure distribution in the conducting airways  </em></span>   </a>
			
			
		
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	<p class="publicationTitle"> <strong>
            Fluid&#x2212;mechanics simulations of ventricular function under LVAD support </strong> </p>
	    <p class="publicationAuthors"> <em> M McCormick&#x201a; D Nordsletten&#x201a; A de Vecchi&#x201a; D Kay and NP Smith  </em> </p>
	
	<p class="publicationDetails"> 
            In  
            <em>
            World Congress on Medical Physics and Biomedical Engineering&#x201a; September 7&#x2212;12&#x201a; 2009&#x201a; Munich&#x201a; Germany</em>.
        
                Pages 1572&#x2013;1575.
            Springer Berlin Heidelberg.
        2010.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication9636-abstract.html">
			Details <span class="sr-only" > about <em> Fluid&#x2212;mechanics simulations of ventricular function under LVAD support  </em></span> </a> |
			<a href="/publications/publication9636.bib">
			BibTeX  <span class="sr-only" > data for <em> Fluid&#x2212;mechanics simulations of ventricular function under LVAD support  </em></span>   </a>
			
			
		
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	<p class="publicationTitle"> <strong>
            A new preconditioner for the Oseen equations </strong> </p>
	    <p class="publicationAuthors"> <em> Andy Wathen&#x201a; Daniel Loghin&#x201a; David Kay&#x201a; Howard Elman and David Silvester  </em> </p>
	
	<p class="publicationDetails"> 
            In  
            <em>
            Numerical mathematics and advanced applications</em>.
        
                Pages 979&#x2013;988.
            Springer Milan.
        2003.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication9635-abstract.html">
			Details <span class="sr-only" > about <em> A new preconditioner for the Oseen equations  </em></span> </a> |
			<a href="/publications/publication9635.bib">
			BibTeX  <span class="sr-only" > data for <em> A new preconditioner for the Oseen equations  </em></span>   </a>
			
			
		
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	</div> 
	
        </li></ul><h2>
      Journal papers
      </h2><ul class="list-unbulleted list-unbulleted-spaced"><li>
	
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	<p class="publicationTitle"> <strong>
            Lung computational models and the role of the small airways in asthma </strong> </p>
	    <p class="publicationAuthors"> <em> Brody H Foy&#x201a; Marcia Soares&#x201a; Rafel Bordas&#x201a; Matthew Richardson&#x201a; Alex Bell&#x201a; Amisha Singapuri&#x201a; Beverley Hargadon&#x201a; Christopher Brightling&#x201a; Kelly Burrowes&#x201a; David Kay and others  </em> </p>
	
	<p class="publicationDetails"> 2019.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication12589-abstract.html">
			Details <span class="sr-only" > about <em> Lung computational models and the role of the small airways in asthma  </em></span> </a> |
			<a href="/publications/publication12589.bib">
			BibTeX  <span class="sr-only" > data for <em> Lung computational models and the role of the small airways in asthma  </em></span>   </a>
			
			
		
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	<p class="publicationTitle"> <strong>
            A Computationally Tractable Scheme for Simulation of the Human Pulmonary System </strong> </p>
	    <p class="publicationAuthors"> <em> Brody H Foy and David Kay  </em> </p>
	
	<p class="publicationDetails"> 2019.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication12588-abstract.html">
			Details <span class="sr-only" > about <em> A Computationally Tractable Scheme for Simulation of the Human Pulmonary System  </em></span> </a> |
			<a href="/publications/publication12588.bib">
			BibTeX  <span class="sr-only" > data for <em> A Computationally Tractable Scheme for Simulation of the Human Pulmonary System  </em></span>   </a>
			
			
		
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				[3] 
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	<p class="publicationTitle"> <strong>
            Functional CT imaging for identification of the spatial determinants of small&#x2212;airways disease in adults with asthma </strong> </p>
	    <p class="publicationAuthors"> <em> Alex J Bell&#x201a; Brody H Foy&#x201a; Matthew Richardson&#x201a; Amisha Singapuri&#x201a; Evgeny Mirkes&#x201a; Maarten van den Berge&#x201a; David Kay&#x201a; Chris Brightling&#x201a; Alexander N Gorban&#x201a; Craig J Galb&#xe1;n and others  </em> </p>
	
	<p class="publicationDetails"> 2019.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication12587-abstract.html">
			Details <span class="sr-only" > about <em> Functional CT imaging for identification of the spatial determinants of small&#x2212;airways disease in adults with asthma  </em></span> </a> |
			<a href="/publications/publication12587.bib">
			BibTeX  <span class="sr-only" > data for <em> Functional CT imaging for identification of the spatial determinants of small&#x2212;airways disease in adults with asthma  </em></span>   </a>
			
			
		
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	<p class="publicationTitle"> <strong>
            Modelling the effect of gravity on inert&#x2212;gas washout outputs </strong> </p>
	    <p class="publicationAuthors"> <em> Brody H Foy&#x201a; Sherif Gonem&#x201a; Chris Brightling&#x201a; Salman Siddiqui and David Kay  </em> </p>
	
	<p class="publicationDetails"> 2018.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication12586-abstract.html">
			Details <span class="sr-only" > about <em> Modelling the effect of gravity on inert&#x2212;gas washout outputs  </em></span> </a> |
			<a href="/publications/publication12586.bib">
			BibTeX  <span class="sr-only" > data for <em> Modelling the effect of gravity on inert&#x2212;gas washout outputs  </em></span>   </a>
			
			
		
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	<p class="publicationTitle"> <strong>
            Step evolution in two&#x2212;dimensional diblock copolymer films </strong> </p>
	    <p class="publicationAuthors"> <em> Quentin Parsons&#x201a; David Kay and Andreas M&#xfc;nch  </em> </p>
	
	<p class="publicationDetails"> 2017.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication12585-abstract.html">
			Details <span class="sr-only" > about <em> Step evolution in two&#x2212;dimensional diblock copolymer films  </em></span> </a> |
			<a href="/publications/publication12585.bib">
			BibTeX  <span class="sr-only" > data for <em> Step evolution in two&#x2212;dimensional diblock copolymer films  </em></span>   </a>
			
			
		
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	<p class="publicationTitle"> <strong>
            Geospatial statistics of high field functional MRI reveal topographical clustering for binocular stereo depth in early visual cortex </strong> </p>
	    <p class="publicationAuthors"> <em> bioRxiv  </em> </p>
	
	<p class="publicationDetails"> 2017.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication12584-abstract.html">
			Details <span class="sr-only" > about <em> Geospatial statistics of high field functional MRI reveal topographical clustering for binocular stereo depth in early visual cortex  </em></span> </a> |
			<a href="/publications/publication12584.bib">
			BibTeX  <span class="sr-only" > data for <em> Geospatial statistics of high field functional MRI reveal topographical clustering for binocular stereo depth in early visual cortex  </em></span>   </a>
			
			
		
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	<p class="publicationTitle"> <strong>
            A computational comparison of the multiple&#x2212;breath washout and forced oscillation technique as markers of bronchoconstriction </strong> </p>
	    <p class="publicationAuthors"> <em> Respiratory physiology & neurobiology  </em> </p>
	
	<p class="publicationDetails"> 2017.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication12583-abstract.html">
			Details <span class="sr-only" > about <em> A computational comparison of the multiple&#x2212;breath washout and forced oscillation technique as markers of bronchoconstriction  </em></span> </a> |
			<a href="/publications/publication12583.bib">
			BibTeX  <span class="sr-only" > data for <em> A computational comparison of the multiple&#x2212;breath washout and forced oscillation technique as markers of bronchoconstriction  </em></span>   </a>
			
			
		
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	<p class="publicationTitle"> <strong>
            A stabilized finite element method for finite&#x2212;strain three&#x2212;field poroelasticity </strong> </p>
	    <p class="publicationAuthors"> <em> Computational Mechanics  </em> </p>
	
	<p class="publicationDetails"> 2017.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication12582-abstract.html">
			Details <span class="sr-only" > about <em> A stabilized finite element method for finite&#x2212;strain three&#x2212;field poroelasticity  </em></span> </a> |
			<a href="/publications/publication12582.bib">
			BibTeX  <span class="sr-only" > data for <em> A stabilized finite element method for finite&#x2212;strain three&#x2212;field poroelasticity  </em></span>   </a>
			
			
		
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	<p class="publicationTitle"> <strong>
            On reflecting boundary conditions for space&#x2212;fractional equations on a finite interval: Proof of the matrix transfer technique </strong> </p>
	    <p class="publicationAuthors"> <em> Applied Mathematical Modelling  </em> </p>
	
	<p class="publicationDetails"> 2017.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication12581-abstract.html">
			Details <span class="sr-only" > about <em> On reflecting boundary conditions for space&#x2212;fractional equations on a finite interval: Proof of the matrix transfer technique  </em></span> </a> |
			<a href="/publications/publication12581.bib">
			BibTeX  <span class="sr-only" > data for <em> On reflecting boundary conditions for space&#x2212;fractional equations on a finite interval: Proof of the matrix transfer technique  </em></span>   </a>
			
			
		
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	<p class="publicationTitle"> <strong>
            A combined image&#x2212;modelling approach assessing the impact of hyperinflation due to emphysema on regional ventilation&#x2013;perfusion matching </strong> </p>
	    <p class="publicationAuthors"> <em> KS Burrowes&#x201a; Tom Doel&#x201a; M Kim&#x201a; Claudia Vargas&#x201a; Josep Roca&#x201a; Vicente Grau and D Kay  </em> </p>
	
	<p class="publicationDetails"> 2017.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication12580-abstract.html">
			Details <span class="sr-only" > about <em> A combined image&#x2212;modelling approach assessing the impact of hyperinflation due to emphysema on regional ventilation&#x2013;perfusion matching  </em></span> </a> |
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			BibTeX  <span class="sr-only" > data for <em> A combined image&#x2212;modelling approach assessing the impact of hyperinflation due to emphysema on regional ventilation&#x2013;perfusion matching  </em></span>   </a>
			
			
		
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	<p class="publicationTitle"> <strong>
            A computational comparison of the multiple&#x2212;breath washout and forced oscillation technique as markers of bronchoconstriction </strong> </p>
	    <p class="publicationAuthors"> <em> Brody H Foy and David Kay  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>Respiratory Physiology & Neurobiology</em>.
        
            Vol. 240.
        
                Pages 61&#x2013;69.
            2017.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication11005-abstract.html">
			Details <span class="sr-only" > about <em> A computational comparison of the multiple&#x2212;breath washout and forced oscillation technique as markers of bronchoconstriction  </em></span> </a> |
			<a href="/publications/publication11005.bib">
			BibTeX  <span class="sr-only" > data for <em> A computational comparison of the multiple&#x2212;breath washout and forced oscillation technique as markers of bronchoconstriction  </em></span>   </a>
			
			
		
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				[12] 
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			class="col-xs-11"
		>
			
	
	<p class="publicationTitle"> <strong>
            A stabilized finite element method for finite&#x2212;strain three&#x2212;field poroelasticity </strong> </p>
	    <p class="publicationAuthors"> <em> Lorenz Berger&#x201a; Rafel Bordas&#x201a; David Kay and Simon Tavener  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>Computational Mechanics</em>.
        
                Pages 1&#x2013;18.
            2017.
        </p>
	
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		>
			
	
	<p class="publicationTitle"> <strong>
            On reflecting boundary conditions for space&#x2212;fractional equations on a finite interval: Proof of the matrix transfer technique </strong> </p>
	    <p class="publicationAuthors"> <em> N Cusimano&#x201a; K Burrage&#x201a; I Turner and D Kay  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>Applied Mathematical Modelling</em>.
        
            Vol. 42.
        
                Pages 554&#x2013;565.
            2017.
        </p>
	
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            		href="/publications/publication11001-abstract.html">
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		>
			
	
	<p class="publicationTitle"> <strong>
            Modelling responses of the inert&#x2212;gas washout and MRI to bronchoconstriction </strong> </p>
	    <p class="publicationAuthors"> <em> Brody H Foy&#x201a; David Kay and Rafel Bordas  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>Respiratory Physiology & Neurobiology</em>.
        
            Vol. 235.
        
                Pages 8&#x2013;17.
            2017.
        </p>
	
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	<p class="publicationTitle"> <strong>
            A combined image&#x2212;modelling approach assessing the impact of hyperinflation due to emphysema on regional ventilation&#x2013;perfusion matching </strong> </p>
	    <p class="publicationAuthors"> <em> KS Burrowes&#x201a; T Doel&#x201a; M Kim&#x201a; C Vargas&#x201a; J Roca&#x201a; V Grau and D Kay  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>Computer Methods in Biomechanics and Biomedical Engineering: Imaging & Visualization</em>.
        
            Vol. 5.
        
            No. 2.
        
                Pages 110&#x2013;126.
            2017.
        </p>
	
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	<p class="publicationTitle"> <strong>
            A poroelastic model coupled to a fluid network with applications in lung modelling </strong> </p>
	    <p class="publicationAuthors"> <em> Lorenz Berger&#x201a; Rafel Bordas&#x201a; Kelly Burrowes&#x201a; Vicente Grau&#x201a; Simon Tavener and David Kay  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>International journal for numerical methods in biomedical engineering</em>.
        
            Vol. 32.
        
            No. 1.
        2016.
        </p>
	
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		>
			
	
	<p class="publicationTitle"> <strong>
            Development and analysis of patient&#x2212;based complete conducting airways models </strong> </p>
	    <p class="publicationAuthors"> <em> Rafel Bordas&#x201a; Christophe Lefevre&#x201a; Bart Veeckmans&#x201a; Joe Pitt&#x2212;Francis&#x201a; Catalin Fetita&#x201a; Christopher E Brightling&#x201a; David Kay&#x201a; Salman Siddiqui and Kelly S Burrowes  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>PloS one</em>.
        
            Vol. 10.
        
            No. 12.
        
                Pages e0144105.
            2015.
        </p>
	
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		>
			
	
	<p class="publicationTitle"> <strong>
            Stabilized Lowest&#x2212;Order Finite Element Approximation for Linear Three&#x2212;Field Poroelasticity </strong> </p>
	    <p class="publicationAuthors"> <em> Lorenz Berger&#x201a; Rafel Bordas&#x201a; David Kay and Simon Tavener  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>SIAM Journal on Scientific Computing</em>.
        
            Vol. 37.
        
            No. 5.
        
                Pages 2222&#x2013;2245.
            2015.
        </p>
	
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	<p class="publicationTitle"> <strong>
            VEGF signals induce trailblazer cell identity that drives neural crest migration </strong> </p>
	    <p class="publicationAuthors"> <em> Rebecca McLennan&#x201a; Linus J Schumacher&#x201a; Jason A Morrison&#x201a; Jessica M Teddy&#x201a; Dennis A Ridenour&#x201a; Andrew C Box&#x201a; Craig L Semerad&#x201a; Hua Li&#x201a; William McDowell&#x201a; David Kay and others  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>Developmental biology</em>.
        
            Vol. 407.
        
            No. 1.
        
                Pages 12&#x2013;25.
            2015.
        </p>
	
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		>
			
	
	<p class="publicationTitle"> <strong>
            Neural crest migration is driven by a few trailblazer cells with a unique molecular signature narrowly confined to the invasive front </strong> </p>
	    <p class="publicationAuthors"> <em> Rebecca McLennan&#x201a; Linus J Schumacher&#x201a; Jason A Morrison&#x201a; Jessica M Teddy&#x201a; Dennis A Ridenour&#x201a; Andrew C Box&#x201a; Craig L Semerad&#x201a; Hua Li&#x201a; William McDowell&#x201a; David Kay and others  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>Development</em>.
        
            Vol. 142.
        
            No. 11.
        
                Pages 2014&#x2013;2025.
            2015.
        </p>
	
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		>
			
	
	<p class="publicationTitle"> <strong>
            Stabilized Lowest&#x2212;Order Finite Element Approximation for Linear Three&#x2212;Field Poroelasticity </strong> </p>
	    <p class="publicationAuthors"> <em> Lorenz Berger&#x201a; Rafel Bordas&#x201a; David Kay and Simon Tavener  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>Siam Journal on Scientific Computing</em>.
        
            Vol. 37(5).
        
                Pages 2222&#x2013;2245.
            2015.
        </p>
	
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		>
			
	
	<p class="publicationTitle"> <strong>
            Neural crest migration is driven by a few trailblazer cells with a unique molecular signature narrowly confined to the invasive front </strong> </p>
	    <p class="publicationAuthors"> <em> Paul M Kulesa Rebecca McLennan Linus J Schumacher Jason A Morrison Jessica M Teddy Dennis A Ridenour Andrew C Box Craig L Semerad Hua Li William McDowell David Kay Philip K Maini Ruth E Baker  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>Development</em>.
        2015.
        </p>
	
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		>
			
	
	<p class="publicationTitle"> <strong>
            A poroelastic model coupled to a fluid network with applications in lung modelling </strong> </p>
	    <p class="publicationAuthors"> <em> Lorenz Berger&#x201a; Rafel Bordas&#x201a; Kelly Burrowes&#x201a; Vicente Grau&#x201a; Simon Tavener and David Kay  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>International journal for numerical methods in biomedical engineering</em>.
        2015.
        </p>
	
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		>
			
	
	<p class="publicationTitle"> <strong>
            Dynamic flow characteristics in normal and asthmatic lungs </strong> </p>
	    <p class="publicationAuthors"> <em> Minsuok Kim&#x201a; Rafel Bordas&#x201a; Wim Vos&#x201a; Ruth A Hartley&#x201a; Chris E Brightling&#x201a; David Kay&#x201a; Vicente Grau and Kelly S Burrowes  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>International journal for numerical methods in biomedical engineering</em>.
        
            Vol. 31.
        
            No. 12.
        2015.
        </p>
	
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		>
			
	
	<p class="publicationTitle"> <strong>
            VEGF signals induce trailblazer cell identity that drives neural crest migration </strong> </p>
	    <p class="publicationAuthors"> <em> Paul M Kulesa Rebecca McLennan Linus J Schumacher Jason A Morrison Jessica M Teddy Dennis A Ridenour Andrew C Box Craig L Semerad Hua Li William McDowell David Kay Philip K Maini Ruth E Baker  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>Developmental Biology</em>.
        2015.
        </p>
	
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		>
			
	
	<p class="publicationTitle"> <strong>
            A combined image&#x2212;modelling approach assessing the impact of hyperinflation due to emphysema on regional ventilation&#x2013;perfusion matching </strong> </p>
	    <p class="publicationAuthors"> <em> KS Burrowes&#x201a; T Doel&#x201a; M Kim&#x201a; C Vargas&#x201a; J Roca&#x201a; V Grau and D Kay  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>Computer Methods in Biomechanics and Biomedical Engineering: Imaging & Visualization</em>.
        
            No. ahead&#x2212;of&#x2212;print.
        
                Pages 1&#x2013;17.
            2015.
        </p>
	
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            		href="/publications/publication9660-abstract.html">
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		>
			
	
	<p class="publicationTitle"> <strong>
            Clinical validation of a CT&#x2212;based impulse oscillometry model </strong> </p>
	    <p class="publicationAuthors"> <em> Rafel Bordas&#x201a; Sherif Gonem&#x201a; Christophe Lefevre&#x201a; Bart Veeckmans&#x201a; Ruth Hartley&#x201a; Joe Pitt&#x2212;Francis&#x201a; Catalin Fetita&#x201a; Chris Brightling&#x201a; John Owers&#x2212;Bradley&#x201a; David Kay and others  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>European Respiratory Journal</em>.
        
            Vol. 44.
        
            No. Suppl 58.
        
                Pages P541.
            2014.
        </p>
	
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	<p class="publicationTitle"> <strong>
            Relationship between heterogeneous bronchoconstriction and impulse oscillometry resistance: A simulation study </strong> </p>
	    <p class="publicationAuthors"> <em> Rafel Bordas&#x201a; Sherif Gonem&#x201a; Wim Vos&#x201a; Ruth Hartley&#x201a; Joe Pitt&#x2212;Francis&#x201a; Jan De Backer&#x201a; Chris Brightling&#x201a; John Owers&#x2212;Bradley&#x201a; David Kay&#x201a; Salman Siddiqui and others  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>European Respiratory Journal</em>.
        
            Vol. 44.
        
            No. Suppl 58.
        
                Pages P1825.
            2014.
        </p>
	
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	<p class="publicationTitle"> <strong>
            Understanding The Interdependence Between Parenchymal Deformation And Ventilation In Obstructive Lung Disease </strong> </p>
	    <p class="publicationAuthors"> <em> R Bordas&#x201a; K Burrowes&#x201a; CE Brightling&#x201a; R Hartley&#x201a; D Kay and LU Berger  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>Am J Respir Crit Care Med</em>.
        
            Vol. 189.
        
                Pages A2677.
            2014.
        </p>
	
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	<p class="publicationTitle"> <strong>
            Fast Solvers for Cahn&#x2013;Hilliard Inpainting </strong> </p>
	    <p class="publicationAuthors"> <em> Jessica Bosch&#x201a; David Kay&#x201a; Martin Stoll and Andrew J Wathen  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>SIAM Journal on Imaging Sciences</em>.
        
            Vol. 7.
        
            No. 1.
        
                Pages 67&#x2013;97.
            2014.
        </p>
	
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		>
			
	
	<p class="publicationTitle"> <strong>
            Fourier spectral methods for fractional&#x2212;in&#x2212;space reaction&#x2212;diffusion equations </strong> </p>
	    <p class="publicationAuthors"> <em> Alfonso Bueno&#x2212;Orovio&#x201a; David Kay and Kevin Burrage  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>BIT Numerical Mathematics</em>.
        
            Vol. 54.
        
            No. 4.
        
                Pages 937&#x2013;954.
            2014.
        </p>
	
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	<p class="publicationTitle"> <strong>
            Fractional diffusion models of cardiac electrical propagation: role of structural heterogeneity in dispersion of repolarization </strong> </p>
	    <p class="publicationAuthors"> <em> A. Bueno&#x2212;Orovio&#x201a; D. Kay&#x201a; V. Grau&#x201a; B. Rodriguez and K. Burrage  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>J R Soc Interface</em>.
        
            Vol. 11.
        
            No. 97.
        
                Pages 20140352.
            2014.
        </p>
	
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		DOI (10.1098/rsif.2014.0352)
		</a> 
					| <a href="https://www.ncbi.nlm.nih.gov/pubmed/24920109"> Link <span class="sr-only" > to <em> Fractional diffusion models of cardiac electrical propagation: role of structural heterogeneity in dispersion of repolarization  </em></span> </a>
  				
		
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	<p class="publicationTitle"> <strong>
            Simulating bronchoconstriction in a patient specific model of the major airways </strong> </p>
	    <p class="publicationAuthors"> <em> RM Bordas&#x201a; B Brook&#x201a; D Kay and K Burrowes  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>Proceedings of The Physiological Society</em>.
        2013.
        </p>
	
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	<p class="publicationTitle"> <strong>
            Simulation of pulmonary function test using a one dimensional airway ventilation model </strong> </p>
	    <p class="publicationAuthors"> <em> M Kim&#x201a; D Kay and KS Burrowes  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>Proceedings of The Physiological Society</em>.
        2013.
        </p>
	
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	<p class="publicationTitle"> <strong>
            A Modified Oster&#x2013;Murray&#x2013;Harris Mechanical Model of Morphogenesis </strong> </p>
	    <p class="publicationAuthors"> <em> Benjamin L Vaughan Jr&#x201a; Ruth E Baker&#x201a; David Kay and Philip K Maini  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>SIAM Journal on Applied Mathematics</em>.
        
            Vol. 73.
        
            No. 6.
        
                Pages 2124&#x2013;2142.
            2013.
        </p>
	
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	<p class="publicationTitle"> <strong>
            Efficient simulation of cardiac electrical propagation using high&#x2212;order finite elements II: Adaptive p&#x2212;version </strong> </p>
	    <p class="publicationAuthors"> <em> Christopher J Arthurs&#x201a; Martin J Bishop and David Kay  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>Journal of Computational Physics</em>.
        
            Vol. 253.
        
                Pages 443&#x2013;470.
            2013.
        </p>
	
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            		href="/publications/publication9649-abstract.html">
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	<p class="publicationTitle"> <strong>
            Existence of solutions of partially degenerate viscoelastic problems&#x201a; and applications to modelling muscular contraction and cardiac electro&#x2212;mechanical activity </strong> </p>
	    <p class="publicationAuthors"> <em> PRAS Pathmanathan&#x201a; CHRISTOPH Ortner and DAVID Kay  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>Solvability analysis of linearized cardiac electromechanics</em>.
        
            Vol. 35.
        2013.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication9647-abstract.html">
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	<p class="publicationTitle"> <strong>
            Simulating left ventricular fluid&#x2013;solid mechanics through the cardiac cycle under LVAD support </strong> </p>
	    <p class="publicationAuthors"> <em> Matthew McCormick&#x201a; David A Nordsletten&#x201a; David Kay and NP Smith  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>Journal of Computational Physics</em>.
        
            Vol. 244.
        
                Pages 80&#x2013;96.
            2013.
        </p>
	
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            		href="/publications/publication9645-abstract.html">
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	<p class="publicationTitle"> <strong>
            Computational modelling of cardiac electrophysiology: explanation of the variability of results from different numerical solvers </strong> </p>
	    <p class="publicationAuthors"> <em> P Pathmanathan&#x201a; MO Bernabeu&#x201a; SA Niederer&#x201a; DJ Gavaghan and D Kay  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>International journal for numerical methods in biomedical engineering</em>.
        
            Vol. 28.
        
            No. 8.
        
                Pages 890&#x2013;903.
            2012.
        </p>
	
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            		href="/publications/publication10983-abstract.html">
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	<p class="publicationTitle"> <strong>
            Multi&#x2212;Cellular Rosettes in the Mouse Visceral Endoderm Facilitate the Ordered Migration of Anterior Visceral Endoderm Cells </strong> </p>
	    <p class="publicationAuthors"> <em> Georgios Trichas&#x201a; Aaron M Smith&#x201a; Natalia White&#x201a; Vivienne Wilkins&#x201a; Tomoko Watanabe&#x201a; Abigail Moore&#x201a; Bradley Joyce&#x201a; Jacintha Sugnaseelan&#x201a; Tristan A Rodriguez&#x201a; David Kay and others  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>PLoS Biology</em>.
        
            Vol. 10.
        
            No. 2.
        
                Pages e1001256.
            2012.
        </p>
	
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	<p class="publicationTitle"> <strong>
            How Does Parenchymal Stress Distribution Change During Airway Remodeling? </strong> </p>
	    <p class="publicationAuthors"> <em> D Kay&#x201a; V Grau&#x201a; K Burrowes and R Bordas  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>Am J Respir Crit Care Med</em>.
        
            Vol. 185.
        
                Pages A2069.
            2012.
        </p>
	
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	<p class="publicationTitle"> <strong>
            Predicting Ventilation Distribution: A Model Of Coupled Acinar Dynamics And Pressure Distribution In The Conducting Airways </strong> </p>
	    <p class="publicationAuthors"> <em> V Grau&#x201a; D Kay&#x201a; K Burrowes and M Kim  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>Am J Respir Crit Care Med</em>.
        
            Vol. 185.
        
                Pages A2068.
            2012.
        </p>
	
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	<p class="publicationTitle"> <strong>
            Adjoint&#x2212;based a posteriori error estimation for coupled time&#x2212;dependent systems </strong> </p>
	    <p class="publicationAuthors"> <em> Liya Asner&#x201a; Simon Tavener and David Kay  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>SIAM Journal on Scientific Computing</em>.
        
            Vol. 34.
        
            No. 4.
        
                Pages A2394&#x2013;A2419.
            2012.
        </p>
	
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	<p class="publicationTitle"> <strong>
            An efficient implicit FEM scheme for fractional&#x2212;in&#x2212;space reaction&#x2212;diffusion equations </strong> </p>
	    <p class="publicationAuthors"> <em> Kevin Burrage&#x201a; Nicholas Hale and David Kay  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>SIAM Journal on Scientific Computing</em>.
        
            Vol. 34.
        
            No. 4.
        
                Pages A2145&#x2013;A2172.
            2012.
        </p>
	
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	<p class="publicationTitle"> <strong>
            A boundary preserving numerical algorithm for the Wright&#x2212;Fisher model with mutation </strong> </p>
	    <p class="publicationAuthors"> <em> CE Dangerfield&#x201a; D Kay&#x201a; S MacNamara and K Burrage  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>BIT Numerical Mathematics</em>.
        
            Vol. 52.
        
            No. 2.
        
                Pages 283&#x2013;304.
            2012.
        </p>
	
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	<p class="publicationTitle"> <strong>
            Simulating Left Ventricular Fluid&#x2212;Solid Mechanics through the Cardiac Cycle under LVAD Support </strong> </p>
	    <p class="publicationAuthors"> <em> M. McCormick&#x201a; D. Nordsletten&#x201a; D. Kay and N. Smith  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>Journal of Computational Physics</em>.
        2012.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication6240-abstract.html">
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			 | <a
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		DOI (10.1016/j.jcp.2012.08.008)
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	<p class="publicationTitle"> <strong>
            A Bidomain model of the ventricular specialized conduction system of the heart </strong> </p>
	    <p class="publicationAuthors"> <em> RM Bordas&#x201a; K Gillow&#x201a; David Gavaghan&#x201a; Blanca Rodr&#x0301;&#x0131;guez and David Kay  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>SIAM Journal on Applied Mathematics</em>.
        
            Vol. 72.
        
            No. 5.
        
                Pages 1618&#x2013;1643.
            2012.
        </p>
	
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            		href="/publications/publication6157-abstract.html">
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	<p class="publicationTitle"> <strong>
            Modeling ion channel dynamics through reflected stochastic differential equations </strong> </p>
	    <p class="publicationAuthors"> <em> Ciara Dangerfield&#x201a; David Kay and Kevin Burrage  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>Phys. Rev. E</em>.
        
            Vol. 85.
        
            No. 5.
        2012.
        </p>
	
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            		href="/publications/publication6052-abstract.html">
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	<p class="publicationTitle"> <strong>
            Efficient simulation of cardiac electrical propagation using high order finite elements </strong> </p>
	    <p class="publicationAuthors"> <em> Christopher J Arthurs&#x201a; Martin J Bishop and David Kay  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>Journal of computational physics</em>.
        
            Vol. 231.
        
            No. 10.
        
                Pages 3946&#x2013;3962.
            2012.
        </p>
	
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            		href="/publications/publication5833-abstract.html">
			Details <span class="sr-only" > about <em> Efficient simulation of cardiac electrical propagation using high order finite elements  </em></span> </a> |
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			 | <a
		href="http://dx.doi.org/10.1016/j.jcp.2012.01.037">
		DOI (10.1016/j.jcp.2012.01.037)
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	<p class="publicationTitle"> <strong>
            Multi&#x2212;cellular rosettes in the mouse visceral endoderm facilitate the ordered migration of AVE cells </strong> </p>
	    <p class="publicationAuthors"> <em> G. Trichas&#x201a; A. Smith&#x201a; N. White&#x201a; V. Wilkins&#x201a; A. Moore&#x201a; B. Joyce&#x201a; J. Sugnaseelan&#x201a; T. Rodriguez&#x201a; D. Kay&#x201a; R. Baker&#x201a; P. Maini and S. Srinivas  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>PLoS Biology</em>.
        2012.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication5589-abstract.html">
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	<p class="publicationTitle"> <strong>
            Computational modelling of cardiac electro&#x2212;physiology: explanation of the variability of results from different numerical solvers </strong> </p>
	    <p class="publicationAuthors"> <em> P. Pathmanathan&#x201a; M. Bernabeu&#x201a; S. Niederer&#x201a; D. Gavaghan and D. Kay  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>Int. J. Numerical Methods in Biomedical Engineering</em>.
        
            Vol. 28.
        
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                Pages 890&#x2212;903.
            2012.
        </p>
	
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		href="http://dx.doi.org/10.1002/cnm.2467">
		DOI (10.1002/cnm.2467)
		</a> 
		
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	<p class="publicationTitle"> <strong>
            Modelling left ventricular function under assist device support </strong> </p>
	    <p class="publicationAuthors"> <em> M McCormick&#x201a; D Nordsletten&#x201a; D Kay and N Smith  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>International Journal for Numerical Methods in Biomedical Engineering</em>.
        
            Vol. 27.
        
            No. 7.
        
                Pages 1073&#x2013;1095.
            2011.
        </p>
	
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	<p class="publicationTitle"> <strong>
            Fluid&#x2013;solid coupling for the investigation of diastolic and systolic human left ventricular function </strong> </p>
	    <p class="publicationAuthors"> <em> D Nordsletten&#x201a; M McCormick&#x201a; PJ Kilner&#x201a; Peter Hunter&#x201a; D Kay and NP Smith  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>International Journal for Numerical Methods in Biomedical Engineering</em>.
        
            Vol. 27.
        
            No. 7.
        
                Pages 1017&#x2013;1039.
            2011.
        </p>
	
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	<p class="publicationTitle"> <strong>
            Incorporating chemical signalling factors into cell&#x2212;based models of growing epithelial tissues </strong> </p>
	    <p class="publicationAuthors"> <em> Aaron M Smith&#x201a; Ruth E Baker&#x201a; David Kay and Philip K Maini  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>Journal of mathematical biology</em>.
        
                Pages 1&#x2013;23.
            2011.
        </p>
	
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	<p class="publicationTitle"> <strong>
            Scalable parallel preconditioners for an open source cardiac electrophysiology simulation package </strong> </p>
	    <p class="publicationAuthors"> <em> Miguel O Bernabeu and David Kay  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>Procedia Computer Science</em>.
        
            Vol. 4.
        
                Pages 821&#x2013;830.
            2011.
        </p>
	
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	<p class="publicationTitle"> <strong>
            A boundary preserving numerical algorithm for the Wright&#x2212;Fisher model with mutation </strong> </p>
	    <p class="publicationAuthors"> <em> CE Dangerfield&#x201a; D. Kay&#x201a; S. MacNamara and K. Burrage  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>BIT Numerical Mathematics</em>.
        
                Pages 1&#x2013;22.
            2011.
        </p>
	
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	<p class="publicationTitle"> <strong>
            Stimulus protocol determines the most computationally efficient preconditioner for the bidomain equations </strong> </p>
	    <p class="publicationAuthors"> <em> Miguel O Bernabeu&#x201a; Pras Pathmanathan&#x201a; Joe Pitt&#x2212;Francis and David Kay  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>IEEE Transactions on Biomedical Engineering</em>.
        
            Vol. 57.
        
            No. 12.
        
                Pages 2806&#x2013;2815.
            2010.
        </p>
	
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	<p class="publicationTitle"> <strong>
            Stochastic models and simulation of ion channel dynamics </strong> </p>
	    <p class="publicationAuthors"> <em> CE Dangerfield&#x201a; David Kay and Kevin Burrage  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>Procedia Computer Science</em>.
        
            Vol. 1.
        
            No. 1.
        
                Pages 1587&#x2013;1596.
            2010.
        </p>
	
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	<p class="publicationTitle"> <strong>
            Fluid&#x2212;mechanics simulations of ventricular function under LVAD support </strong> </p>
	    <p class="publicationAuthors"> <em> M. McCormick&#x201a; D. Nordsletten&#x201a; A. Vecchi&#x201a; D. Kay and NP Smith  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>World Congress on Medical Physics and Biomedical Engineering&#x201a; September 7&#x2212;12&#x201a; 2009&#x201a; Munich&#x201a; Germany</em>.
        
                Pages 1572&#x2013;1575.
            2010.
        </p>
	
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	<p class="publicationTitle"> <strong>
            A Preconditioner for the Finite Element Approximation to the Arbitrary Lagrangian&#x2013;Eulerian Navier&#x2013;Stokes Equations </strong> </p>
	    <p class="publicationAuthors"> <em> David Nordsletten&#x201a; Nicolas Smith and David Kay  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>SIAM Journal on Scientific Computing</em>.
        
            Vol. 32.
        
                Pages 521&#x2013;543.
            2010.
        </p>
	
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	<p class="publicationTitle"> <strong>
            A non&#x2212;conforming monolithic finite element method for problems of coupled mechanics </strong> </p>
	    <p class="publicationAuthors"> <em> David Nordsletten&#x201a; David Kay and Nicolas Smith  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>Journal of Computational Physics</em>.
        
            Vol. 229.
        
            No. 20.
        
                Pages 7571&#x2013;7593.
            2010.
        </p>
	
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	<p class="publicationTitle"> <strong>
            Adaptive time&#x2212;stepping for incompressible flow Part II: Navier&#x2212;Stokes Equations </strong> </p>
	    <p class="publicationAuthors"> <em> David A Kay&#x201a; Philip M Gresho&#x201a; David F Griffiths and David J Silvester  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>SIAM Journal on Scientific Computing</em>.
        
            Vol. 32.
        
                Pages 111&#x2013;128.
            2010.
        </p>
	
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	<p class="publicationTitle"> <strong>
            Color image segmentation by the vector&#x2212;valued Allen&#x2013;Cahn phase&#x2212;field model: a multigrid solution </strong> </p>
	    <p class="publicationAuthors"> <em> David A Kay and Alessandro Tomasi  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>IEEE Transactions on Image Processing</em>.
        
            Vol. 18.
        
            No. 10.
        
                Pages 2330&#x2013;2339.
            2009.
        </p>
	
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	<p class="publicationTitle"> <strong>
            Discontinuous Galerkin finite element approximation of the Cahn&#x2013;Hilliard equation with convection </strong> </p>
	    <p class="publicationAuthors"> <em> David Kay&#x201a; Vanessa Styles and Endre S&#xfc;li  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>SIAM Journal on Numerical Analysis</em>.
        
            Vol. 47.
        
            No. 4.
        
                Pages 2660&#x2013;2685.
            2009.
        </p>
	
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	<p class="publicationTitle"> <strong>
            Coupling contraction&#x201a; excitation&#x201a; ventricular and coronary blood flow across scale and physics in the heart </strong> </p>
	    <p class="publicationAuthors"> <em> Jack Lee&#x201a; Steven Niederer&#x201a; David Nordsletten&#x201a; Ian Le Grice&#x201a; Bruce Smail&#x201a; David Kay and Nicolas Smith  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>Philosophical Transactions of the Royal Society of London A: Mathematical&#x201a; Physical and Engineering Sciences</em>.
        
            Vol. 367.
        
            No. 1896.
        
                Pages 2311&#x2013;2331.
            2009.
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            		href="/publications/publication5902-abstract.html">
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	<p class="publicationTitle"> <strong>
            Finite element approximation of a Cahn&#x2212;Hilliard&#x2212;Navier&#x2212;Stokes system </strong> </p>
	    <p class="publicationAuthors"> <em> David Kay&#x201a; Vanessa Styles and Richard Welford  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>Interfaces Free Bound</em>.
        
            Vol. 10.
        
            No. 1.
        
                Pages 15&#x2013;43.
            2008.
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            		href="/publications/publication5899-abstract.html">
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		>
			
	
	<p class="publicationTitle"> <strong>
            Efficient numerical solution of Cahn&#x2013;Hilliard&#x2013;Navier&#x2013;Stokes fluids in 2D </strong> </p>
	    <p class="publicationAuthors"> <em> David Kay and Richard Welford  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>SIAM Journal on Scientific Computing</em>.
        
            Vol. 29.
        
            No. 6.
        
                Pages 2241&#x2013;2257.
            2007.
        </p>
	
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	<p class="publicationTitle"> <strong>
            Mathematical analysis of an integral equation arising from population dynamics </strong> </p>
	    <p class="publicationAuthors"> <em> DA Kay&#x201a; M Sagheer and Q Tang  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>Mathematical biosciences</em>.
        
            Vol. 210.
        
            No. 2.
        
                Pages 415&#x2013;435.
            2007.
        </p>
	
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            		href="/publications/publication5159-abstract.html">
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		href="http://dx.doi.org/10.1016/j.mbs.2007.05.013">
		DOI (10.1016/j.mbs.2007.05.013)
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		>
			
	
	<p class="publicationTitle"> <strong>
            A Block Preconditioner for High&#x2212;Order Mixed Finite Element Approximations to the Navier&#x2013;Stokes Equations </strong> </p>
	    <p class="publicationAuthors"> <em> David Kay and Emil Lungu  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>SIAM Journal on Scientific Computing</em>.
        
            Vol. 27.
        
            No. 6.
        
                Pages 1867&#x2013;1880.
            2006.
        </p>
	
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	<p class="publicationTitle"> <strong>
            Time&#x2212;dependent annealing and deposition on substrates with repulsive interactions </strong> </p>
	    <p class="publicationAuthors"> <em> JA Venables&#x201a; J DeGraffenreid&#x201a; D Kay and P Yang  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>Physical Review B</em>.
        
            Vol. 74.
        
            No. 7.
        
                Pages 075412.
            2006.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication5914-abstract.html">
			Details <span class="sr-only" > about <em> Time&#x2212;dependent annealing and deposition on substrates with repulsive interactions  </em></span> </a> |
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			class="col-xs-11"
		>
			
	
	<p class="publicationTitle"> <strong>
            A multigrid finite element solver for the Cahn&#x2013;Hilliard equation </strong> </p>
	    <p class="publicationAuthors"> <em> David Kay and Richard Welford  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>Journal of Computational Physics</em>.
        
            Vol. 212.
        
            No. 1.
        
                Pages 288&#x2013;304.
            2006.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication5895-abstract.html">
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		<div
			class="col-xs-11"
		>
			
	
	<p class="publicationTitle"> <strong>
            Finite element analysis of a current density&#x2013;electric field formulation of Bean's model for superconductivity </strong> </p>
	    <p class="publicationAuthors"> <em> CM Elliott&#x201a; D Kay and V Styles  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>IMA journal of numerical analysis</em>.
        
            Vol. 25.
        
            No. 1.
        
                Pages 182&#x2013;204.
            2005.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication5915-abstract.html">
			Details <span class="sr-only" > about <em> Finite element analysis of a current density&#x2013;electric field formulation of Bean's model for superconductivity  </em></span> </a> |
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			class="col-xs-11"
		>
			
	
	<p class="publicationTitle"> <strong>
            A finite element approximation of a variational inequality formulation of Bean's model for superconductivity </strong> </p>
	    <p class="publicationAuthors"> <em> Charles M Elliott&#x201a; David Kay and Vanessa Styles  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>SIAM journal on numerical analysis</em>.
        
            Vol. 42.
        
            No. 3.
        
                Pages 1324&#x2013;1341.
            2004.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication9631-abstract.html">
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			class="col-xs-11"
		>
			
	
	<p class="publicationTitle"> <strong>
            A preconditioner for the steady&#x2212;state Navier&#x2013;Stokes equations </strong> </p>
	    <p class="publicationAuthors"> <em> David Kay&#x201a; Daniel Loghin and Andrew Wathen  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>SIAM Journal on Scientific Computing</em>.
        
            Vol. 24.
        
            No. 1.
        
                Pages 237&#x2013;256.
            2002.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication5892-abstract.html">
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			class="col-xs-11"
		>
			
	
	<p class="publicationTitle"> <strong>
            A new preconditioner for the Oseen equations </strong> </p>
	    <p class="publicationAuthors"> <em> A. J. Wathen&#x201a; D. Loghin&#x201a; D. Kay&#x201a; H. C. Elman and D. J. Silvester  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>Proceedings of the European Conference on Numerical Mathematics and Advanced Applications</em>.
        2001.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication6036-abstract.html">
			Details <span class="sr-only" > about <em> A new preconditioner for the Oseen equations  </em></span> </a> |
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		>
			
	
	<p class="publicationTitle"> <strong>
            The reliability of local error estimators for convection&#x2013;diffusion equations </strong> </p>
	    <p class="publicationAuthors"> <em> David Kay and David Silvester  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>IMA journal of numerical analysis</em>.
        
            Vol. 21.
        
            No. 1.
        
                Pages 107&#x2013;122.
            2001.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication5897-abstract.html">
			Details <span class="sr-only" > about <em> The reliability of local error estimators for convection&#x2013;diffusion equations  </em></span> </a> |
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		<div
			class="col-xs-11"
		>
			
	
	<p class="publicationTitle"> <strong>
            Efficient preconditioning of the linearized Navier&#x2212;Stokes equations for incompressible flow </strong> </p>
	    <p class="publicationAuthors"> <em> David Silvester&#x201a; Howard Elman&#x201a; David Kay and Andrew Wathen  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>Journal of Computational and Applied Mathematics</em>.
        
            Vol. 128.
        
            No. 1&#x2212;2.
        
                Pages 261&#x2013;279.
            2001.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication5893-abstract.html">
			Details <span class="sr-only" > about <em> Efficient preconditioning of the linearized Navier&#x2212;Stokes equations for incompressible flow  </em></span> </a> |
			<a href="/publications/publication5893.bib">
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	</div> 
	
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		<div
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		>
			
	
	<p class="publicationTitle"> <strong>
            Approximation theory for the hp&#x2212;version finite element method and application to the non&#x2212;linear Laplacian </strong> </p>
	    <p class="publicationAuthors"> <em> Mark Ainsworth and David Kay  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>Applied numerical mathematics</em>.
        
            Vol. 34.
        
            No. 4.
        
                Pages 329&#x2013;344.
            2000.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication5900-abstract.html">
			Details <span class="sr-only" > about <em> Approximation theory for the hp&#x2212;version finite element method and application to the non&#x2212;linear Laplacian  </em></span> </a> |
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	</div> 
	
        </li><li>
	
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		<div
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		>
			
	
	<p class="publicationTitle"> <strong>
            Adaptive finite element simulation of currents at microelectrodes to a guaranteed accuracy. ECE and EC2E mechanisms at channel microband electrodes </strong> </p>
	    <p class="publicationAuthors"> <em> Kathryn Harriman&#x201a; David J Gavaghan&#x201a; Paul Houston&#x201a; David Kay and Endre Suli  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>Electrochemistry communications</em>.
        
            Vol. 2.
        
            No. 8.
        
                Pages 576&#x2013;585.
            2000.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication849-abstract.html">
			Details <span class="sr-only" > about <em> Adaptive finite element simulation of currents at microelectrodes to a guaranteed accuracy. ECE and EC2E mechanisms at channel microband electrodes  </em></span> </a> |
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			 | <a
		href="http://dx.doi.org/10.1016/S1388-2481(00)00075-8">
		DOI (10.1016/S1388-2481(00)00075-8)
		</a> 
		
		</div> 
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			class="col-xs-11"
		>
			
	
	<p class="publicationTitle"> <strong>
            A stabilized finite element method for nonlinear poroelasticity </strong> </p>
	    <p class="publicationAuthors"> <em> Lorenz Berger&#x201a; Rafel Bordas&#x201a; David Kay and Simon Tavener  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>Computer Methods in Applied Mechanics and Engineering</em>.
        
            Vol. 174.
        
            No. 3&#x2212;4.
        
                Pages 299&#x2013;317.
            1999.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication10998-abstract.html">
			Details <span class="sr-only" > about <em> A stabilized finite element method for nonlinear poroelasticity  </em></span> </a> |
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		<div
			class="col-xs-11"
		>
			
	
	<p class="publicationTitle"> <strong>
            The approximation theory for the p&#x2212;version finite element method and application to non&#x2212;linear elliptic PDEs </strong> </p>
	    <p class="publicationAuthors"> <em> Mark Ainsworth and David Kay  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>Numerische Mathematik</em>.
        
            Vol. 82.
        
            No. 3.
        
                Pages 351&#x2013;388.
            1999.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication5898-abstract.html">
			Details <span class="sr-only" > about <em> The approximation theory for the p&#x2212;version finite element method and application to non&#x2212;linear elliptic PDEs  </em></span> </a> |
			<a href="/publications/publication5898.bib">
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		>
			
	
	<p class="publicationTitle"> <strong>
            A Green's function preconditioner for the steady&#x2212;state Navier&#x2212;Stokes equations </strong> </p>
	    <p class="publicationAuthors"> <em> D. Kay and D. Loghin  </em> </p>
	
	<p class="publicationDetails"> 1999.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication5896-abstract.html">
			Details <span class="sr-only" > about <em> A Green's function preconditioner for the steady&#x2212;state Navier&#x2212;Stokes equations  </em></span> </a> |
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		<div
			class="col-xs-11"
		>
			
	
	<p class="publicationTitle"> <strong>
            A posteriori error estimation for stabilized mixed approximations of the Stokes equations </strong> </p>
	    <p class="publicationAuthors"> <em> David Kay and David Silvester  </em> </p>
	
	<p class="publicationDetails"> 
        In <em>SIAM Journal on Scientific Computing</em>.
        
            Vol. 21.
        
            No. 4.
        
                Pages 1321&#x2013;1336.
            1999.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication5894-abstract.html">
			Details <span class="sr-only" > about <em> A posteriori error estimation for stabilized mixed approximations of the Stokes equations  </em></span> </a> |
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	</div> 
	
        </li></ul><h2>
      Conference papers
      </h2><ul class="list-unbulleted list-unbulleted-spaced"><li>
	
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				[1] 
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			class="col-xs-11"
		>
			
	
	<p class="publicationTitle"> <strong>
            Simulating bronchoconstriction in a patient specific model of the major airways </strong> </p>
	    <p class="publicationAuthors"> <em> RM Bordas&#x201a; B Brook&#x201a; D Kay and K Burrowes  </em> </p>
	
	<p class="publicationDetails"> 
            In  
            <em>
            Proceedings of The Physiological Society</em>.
        The Physiological Society.
        2013.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication10991-abstract.html">
			Details <span class="sr-only" > about <em> Simulating bronchoconstriction in a patient specific model of the major airways  </em></span> </a> |
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				[2] 
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		>
			
	
	<p class="publicationTitle"> <strong>
            Simulation of pulmonary function test using a one dimensional airway ventilation model </strong> </p>
	    <p class="publicationAuthors"> <em> M Kim&#x201a; D Kay and KS Burrowes  </em> </p>
	
	<p class="publicationDetails"> 
            In  
            <em>
            Proceedings of The Physiological Society</em>.
        The Physiological Society.
        2013.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication10990-abstract.html">
			Details <span class="sr-only" > about <em> Simulation of pulmonary function test using a one dimensional airway ventilation model  </em></span> </a> |
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				[3] 
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		<div
			class="col-xs-11"
		>
			
	
	<p class="publicationTitle"> <strong>
            Comparison of continuous and discrete stochastic ion channel models </strong> </p>
	    <p class="publicationAuthors"> <em> Ciara Ellen Dangerfield&#x201a; David Kay and Kevin Burrage  </em> </p>
	
	<p class="publicationDetails"> 
            In  
            <em>
            Engineering in Medicine and Biology Society&#x201a; EMBC&#x201a; 2011 Annual International Conference of the IEEE</em>.
        
                Pages 704&#x2013;707.
            IEEE.
        2011.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication6048-abstract.html">
			Details <span class="sr-only" > about <em> Comparison of continuous and discrete stochastic ion channel models  </em></span> </a> |
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			BibTeX  <span class="sr-only" > data for <em> Comparison of continuous and discrete stochastic ion channel models  </em></span>   </a>
			
			
		
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		<div
			class="col-xs-11"
		>
			
	
	<p class="publicationTitle"> <strong>
            Fluid&#x2212;mechanics simulations of ventricular function under LVAD support </strong> </p>
	    <p class="publicationAuthors"> <em> M McCormick&#x201a; D Nordsletten&#x201a; A de Vecchi&#x201a; D Kay and NP Smith  </em> </p>
	
	<p class="publicationDetails"> 
            In  
            <em>
            World Congress on Medical Physics and Biomedical Engineering&#x201a; September 7&#x2212;12&#x201a; 2009&#x201a; Munich&#x201a; Germany</em>.
        
                Pages 1572&#x2013;1575.
            Springer Berlin Heidelberg.
        2009.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication10981-abstract.html">
			Details <span class="sr-only" > about <em> Fluid&#x2212;mechanics simulations of ventricular function under LVAD support  </em></span> </a> |
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		<div
			class="col-xs-11"
		>
			
	
	<p class="publicationTitle"> <strong>
            Efficient preconditioning of the linearized Navier&#x2212;Stokes equations </strong> </p>
	    <p class="publicationAuthors"> <em> H. Elman&#x201a; A. Wathen&#x201a; D. Silvester&#x201a; H. Elman and D. Kay  </em> </p>
	
	<p class="publicationDetails"> 
            In  
            <em>
            J. Comp. Appl. Math</em>.
        Citeseer.
        1999.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication5909-abstract.html">
			Details <span class="sr-only" > about <em> Efficient preconditioning of the linearized Navier&#x2212;Stokes equations  </em></span> </a> |
			<a href="/publications/publication5909.bib">
			BibTeX  <span class="sr-only" > data for <em> Efficient preconditioning of the linearized Navier&#x2212;Stokes equations  </em></span>   </a>
			
			
		
		</div> 
	</div> 
	
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		<div
			class="col-xs-11"
		>
			
	
	<p class="publicationTitle"> <strong>
            The rate of convergence of the p&#x2212;version finite element method for the non&#x2212;linear Laplacian </strong> </p>
	    <p class="publicationAuthors"> <em> M. Ainsworth and D. Kay  </em> </p>
	
	<p class="publicationDetails"> 
            In  
            <em>
            Prague Mathematical Conference 1996</em>.
        1996.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication5163-abstract.html">
			Details <span class="sr-only" > about <em> The rate of convergence of the p&#x2212;version finite element method for the non&#x2212;linear Laplacian  </em></span> </a> |
			<a href="/publications/publication5163.bib">
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		</div> 
	</div> 
	
        </li></ul><h2>
      Technical reports
      </h2><ul class="list-unbulleted list-unbulleted-spaced"><li>
	
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				[1] 
			</div>

		
        
		<div
			class="col-xs-11"
		>
			
	
	<p class="publicationTitle"> <strong>
            Health care and genesee county&#x201a; New York: Economic implications of reduced hospital services </strong> </p>
	    <p class="publicationAuthors"> <em> Nelson L Bills and David Kay  </em> </p>
	
	<p class="publicationDetails"> Staff Paper&#x201a; Cornell University&#x201a; Department of Applied Economics and Management.
        2002.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication10999-abstract.html">
			Details <span class="sr-only" > about <em> Health care and genesee county&#x201a; New York: Economic implications of reduced hospital services  </em></span> </a> |
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		</div> 
	</div> 
	
        </li><li>
	
	<div class="row">
		
			<div class="col-xs-1 text-right">
				[2] 
			</div>

		
        
		<div
			class="col-xs-11"
		>
			
	
	<p class="publicationTitle"> <strong>
            A preconditioner for the 3D Oseen equations </strong> </p>
	    <p class="publicationAuthors"> <em> AJ Wathen&#x201a; Daniel Loghin&#x201a; David Kay&#x201a; Howard C Elman and David Silvester  </em> </p>
	
	<p class="publicationDetails"> Unspecified.
        2002.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication10980-abstract.html">
			Details <span class="sr-only" > about <em> A preconditioner for the 3D Oseen equations  </em></span> </a> |
			<a href="/publications/publication10980.bib">
			BibTeX  <span class="sr-only" > data for <em> A preconditioner for the 3D Oseen equations  </em></span>   </a>
			
			
		
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	</div> 
	
        </li><li>
	
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			<div class="col-xs-1 text-right">
				[3] 
			</div>

		
        
		<div
			class="col-xs-11"
		>
			
	
	<p class="publicationTitle"> <strong>
            A Green's function preconditioner for the steady&#x2212;state Navier&#x2212;Stokes equations </strong> </p>
	    <p class="publicationAuthors"> <em> David Kay and Daniel Loghin  </em> </p>
	
	<p class="publicationDetails"> Unspecified.
        1999.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication10979-abstract.html">
			Details <span class="sr-only" > about <em> A Green's function preconditioner for the steady&#x2212;state Navier&#x2212;Stokes equations  </em></span> </a> |
			<a href="/publications/publication10979.bib">
			BibTeX  <span class="sr-only" > data for <em> A Green's function preconditioner for the steady&#x2212;state Navier&#x2212;Stokes equations  </em></span>   </a>
			
			
		
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	</div> 
	
        </li></ul><h2>
      Theses
      </h2><ul class="list-unbulleted list-unbulleted-spaced"><li>
	
	<div class="row">
		
			<div class="col-xs-1 text-right">
				[1] 
			</div>

		
        
		<div
			class="col-xs-11"
		>
			
	
	<p class="publicationTitle"> <strong>
            Vertex model approaches to epithelial tissues in developmental systems </strong> </p>
	    <p class="publicationAuthors"> <em> David Kay  </em> </p>
	
	<p class="publicationDetails">  PhD Thesis University of Oxford.
        2012.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication11003-abstract.html">
			Details <span class="sr-only" > about <em> Vertex model approaches to epithelial tissues in developmental systems  </em></span> </a> |
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			BibTeX  <span class="sr-only" > data for <em> Vertex model approaches to epithelial tissues in developmental systems  </em></span>   </a>
			
			
		
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        </li></ul><h2>
      Miscellaneous
      </h2><ul class="list-unbulleted list-unbulleted-spaced"><li>
	
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			<div class="col-xs-1 text-right">
				[1] 
			</div>

		
        
		<div
			class="col-xs-11"
		>
			
	
	<p class="publicationTitle"> <strong>
            Validation of impulse oscillometry R5&#x2212;R20 as a small airways dysfunction detection tool in adult asthma </strong> </p>
	    <p class="publicationAuthors"> <em> Marcia Soares&#x201a; Rafel Bordas&#x201a; James Thorpe&#x201a; Breanda Timmerman&#x201a; Christopher Brightling&#x201a; David Kay&#x201a; Kelly Burrowes&#x201a; Owers&#x2212;Bradley John and Salman Siddiqui  </em> </p>
	
	<p class="publicationDetails"> 2016.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication11002-abstract.html">
			Details <span class="sr-only" > about <em> Validation of impulse oscillometry R5&#x2212;R20 as a small airways dysfunction detection tool in adult asthma  </em></span> </a> |
			<a href="/publications/publication11002.bib">
			BibTeX  <span class="sr-only" > data for <em> Validation of impulse oscillometry R5&#x2212;R20 as a small airways dysfunction detection tool in adult asthma  </em></span>   </a>
			
			
		
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        </li><li>
	
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			<div class="col-xs-1 text-right">
				[2] 
			</div>

		
        
		<div
			class="col-xs-11"
		>
			
	
	<p class="publicationTitle"> <strong>
            Existence of solutions of partially degenerate visco&#x2212;elastic problems&#x201a; and applications to modelling muscular contraction and cardiac electro&#x2212;mechanical activity </strong> </p>
	    <p class="publicationAuthors"> <em> Pras Pathmanathan&#x201a; CHRISTOPH Ortner and DAVID Kay  </em> </p>
	
	<p class="publicationDetails"> 2013.
        </p>
	
        		<p class="publicationlinks"> <a
        
            		href="/publications/publication10984-abstract.html">
			Details <span class="sr-only" > about <em> Existence of solutions of partially degenerate visco&#x2212;elastic problems&#x201a; and applications to modelling muscular contraction and cardiac electro&#x2212;mechanical activity  </em></span> </a> |
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			BibTeX  <span class="sr-only" > data for <em> Existence of solutions of partially degenerate visco&#x2212;elastic problems&#x201a; and applications to modelling muscular contraction and cardiac electro&#x2212;mechanical activity  </em></span>   </a>
			
			
		
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