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Action potential duration heterogeneity of cardiac tissue can be evaluated from cell properties using Gaussian Green's function approach

Arne Defauw (UGent) , Ivan Kazbanov (UGent) , Hans Dierckx (UGent) , Peter Dawyndt (UGent) and Alexander Panfilov (UGent)
(2013) PLOS ONE. 8(11).
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Bioinformatics: from nucleotids to networks (N2N)
Abstract
Action potential duration (APD) heterogeneity of cardiac tissue is one of the most important factors underlying initiation of deadly cardiac arrhythmias. In many cases such heterogeneity can be measured at tissue level only, while it originates from differences between the individual cardiac cells. The extent of heterogeneity at tissue and single cell level can differ substantially and in many cases it is important to know the relation between them. Here we study effects from cell coupling on APD heterogeneity in cardiac tissue in numerical simulations using the ionic TP06 model for human cardiac tissue. We show that the effect of cell coupling on APD heterogeneity can be described mathematically using a Gaussian Green's function approach. This relates the problem of electrotonic interactions to a wide range of classical problems in physics, chemistry and biology, for which robust methods exist. We show that, both for determining effects of tissue heterogeneity from cell heterogeneity (forward problem) as well as for determining cell properties from tissue level measurements (inverse problem), this approach is promising. We illustrate the solution of the forward and inverse problem on several examples of 1D and 2D systems.
Keywords
mass diffusivity, ionic current, spatial distribution, tissue distribution, wave propagation, Cardiac arrhythmia, biological tissue

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Citation

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Chicago
Defauw, Arne, Ivan Kazbanov, Hans Dierckx, Peter Dawyndt, and Alexander Panfilov. 2013. “Action Potential Duration Heterogeneity of Cardiac Tissue Can Be Evaluated from Cell Properties Using Gaussian Green’s Function Approach.” Plos One 8 (11).
APA
Defauw, A., Kazbanov, I., Dierckx, H., Dawyndt, P., & Panfilov, A. (2013). Action potential duration heterogeneity of cardiac tissue can be evaluated from cell properties using Gaussian Green’s function approach. PLOS ONE, 8(11).
Vancouver
1.
Defauw A, Kazbanov I, Dierckx H, Dawyndt P, Panfilov A. Action potential duration heterogeneity of cardiac tissue can be evaluated from cell properties using Gaussian Green’s function approach. PLOS ONE. 2013;8(11).
MLA
Defauw, Arne, Ivan Kazbanov, Hans Dierckx, et al. “Action Potential Duration Heterogeneity of Cardiac Tissue Can Be Evaluated from Cell Properties Using Gaussian Green’s Function Approach.” PLOS ONE 8.11 (2013): n. pag. Print.
@article{4210261,
  abstract     = {Action potential duration (APD) heterogeneity of cardiac tissue is one of the most important factors underlying initiation of deadly cardiac arrhythmias. In many cases such heterogeneity can be measured at tissue level only, while it originates from differences between the individual cardiac cells. The extent of heterogeneity at tissue and single cell level can differ substantially and in many cases it is important to know the relation between them. Here we study effects from cell coupling on APD heterogeneity in cardiac tissue in numerical simulations using the ionic TP06 model for human cardiac tissue. We show that the effect of cell coupling on APD heterogeneity can be described mathematically using a Gaussian Green's function approach. This relates the problem of electrotonic interactions to a wide range of classical problems in physics, chemistry and biology, for which robust methods exist. We show that, both for determining effects of tissue heterogeneity from cell heterogeneity (forward problem) as well as for determining cell properties from tissue level measurements (inverse problem), this approach is promising. We illustrate the solution of the forward and inverse problem on several examples of 1D and 2D systems.},
  articleno    = {e79607},
  author       = {Defauw, Arne and Kazbanov, Ivan and Dierckx, Hans and Dawyndt, Peter and Panfilov, Alexander},
  issn         = {1932-6203},
  journal      = {PLOS ONE},
  keyword      = {mass diffusivity,ionic current,spatial distribution,tissue distribution,wave propagation,Cardiac arrhythmia,biological tissue},
  language     = {eng},
  number       = {11},
  pages        = {12},
  title        = {Action potential duration heterogeneity of cardiac tissue can be evaluated from cell properties using Gaussian Green's function approach},
  url          = {http://dx.doi.org/10.1371/journal.pone.0079607},
  volume       = {8},
  year         = {2013},
}

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