Hierarchical reconstructions of cardiac tissue
We consider the general problem of comparing and integrating computational models of cardiac tissue at different levels of physiological detail. We use a general theory of synchronous concurrent algorithms to model spatially extended biological systems, and expand the theory to create hierarchical m...
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| Vydáno v: | Chaos, solitons and fractals Ročník 13; číslo 8; s. 1581 - 1612 |
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| Médium: | Journal Article Konferenční příspěvek |
| Jazyk: | angličtina |
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Elsevier Ltd
01.06.2002
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| ISSN: | 0960-0779, 1873-2887 |
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| Abstract | We consider the general problem of comparing and integrating computational models of cardiac tissue at different levels of physiological detail. We use a general theory of synchronous concurrent algorithms to model spatially extended biological systems, and expand the theory to create hierarchical models by relating observable behaviour at different levels. The general concepts and methods are illustrated by a detailed case study of electrical behaviour in cardiac tissue, in which models based on coupled systems of ordinary differential equations, partial differential equations (PDEs) and cellular automata (CAs) are compared and combined. |
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| AbstractList | We consider the general problem of comparing and integrating computational models of cardiac tissue at different levels of physiological detail. We use a general theory of synchronous concurrent algorithms to model spatially extended biological systems, and expand the theory to create hierarchical models by relating observable behaviour at different levels. The general concepts and methods are illustrated by a detailed case study of electrical behaviour in cardiac tissue, in which models based on coupled systems of ordinary differential equations, partial differential equations (PDEs) and cellular automata (CAs) are compared and combined. We consider the general problem of comparing and integrating computational models of cardiac tissue at different levels of physiological detail. We use a general theory of synchronous concurrent algorithms to model spatially extended biological systems, and expand the theory to create hierarchical models by relating observable behaviour at different levels. The general concepts and methods are illustrated by a detailed case study of electrical behaviour in cardiac tissue, in which models based on coupled systems of ordinary differential equations, partial differential equations (PDEs) and cellular automata (CAs) are compared and combined. copyright 2002 Elsevier Science Ltd. All rights reserved. |
| Author | Holden, A.V. Poole, M.J. Tucker, J.V. |
| Author_xml | – sequence: 1 givenname: M.J. surname: Poole fullname: Poole, M.J. email: m.j.poole@swansea.ac.uk organization: Department of Computer Science, University of Wales Swansea, Swansea SA2 8PP, UK – sequence: 2 givenname: A.V. surname: Holden fullname: Holden, A.V. organization: School of Biomedical Sciences, and Centre for Nonlinear Studies, University of Leeds, Leeds LS2 9JT, UK – sequence: 3 givenname: J.V. surname: Tucker fullname: Tucker, J.V. organization: Department of Computer Science, University of Wales Swansea, Swansea SA2 8PP, UK |
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| References_xml | – reference: Noble D. Oxsoft Heart program. Oxford: Oxsoft Ltd; 1990 – volume: 161 start-page: 271 year: 1993 end-page: 285 ident: BIB25 article-title: Computer simulation of re-entry sources in myocardium in two and three dimensions publication-title: J. Theor. Biol. – volume: 247 start-page: 1563 year: 1990 end-page: 1566 ident: BIB8 article-title: A cellular automaton model of excitable media including curvature and dispersion publication-title: Science – reference: Tucker JV, Zucker JI. Theory of computation over stream algebras, and its applications. In: Havel IM, Koubek V, editors. Mathematical foundations of computer science. Lecture Notes in Computer Science, vol. 629. Berlin: Springer; 1992. p. 629 – year: 1997 ident: BIB26 publication-title: Computational biology of the heart – volume: 260 start-page: 211 year: 1995 end-page: 217 ident: BIB2 article-title: Control of re-entrant activity in a model of mammalian atrial tissue publication-title: Proc. R. Soc. (London) B – reference: Holden AV, Poole MJ, Tucker JV, Zhang H. Coupling CMLs and the synchronisation of a multilayer neural computing system. Chaos, Solitons & Fractals 1994;4:2249-2268 – volume: 263 start-page: 1373 year: 1996 end-page: 1382 ident: BIB3 article-title: Re-entrant activity and its control in a model of mammalian ventricular tissue publication-title: Proc. R. Soc. (London) B – reference: Meinke K, Tucker JV. Specification and representation of synchronous concurrent algorithms. In: Vogt FH, editor. Concurrency '88, Lecture Notes in Computer Science, vol. 335. Berlin: Springer; 1988. p. 163–80 – reference: Poole MJ, Tucker JV, Holden AV. Hierarchies of spatially extended systems and synchronous concurrent algorithms. In: Möller B, Tucker JV, editors. Prospects for hardware foundations. 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| SubjectTerms | Automata theory Cardiology Mathematical models Ordinary differential equations Partial differential equations |
| Title | Hierarchical reconstructions of cardiac tissue |
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