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Cell-Specific Cardiac Electrophysiology Models

Author

Listed:
  • Willemijn Groenendaal
  • Francis A Ortega
  • Armen R Kherlopian
  • Andrew C Zygmunt
  • Trine Krogh-Madsen
  • David J Christini

Abstract

The traditional cardiac model-building paradigm involves constructing a composite model using data collected from many cells. Equations are derived for each relevant cellular component (e.g., ion channel, exchanger) independently. After the equations for all components are combined to form the composite model, a subset of parameters is tuned, often arbitrarily and by hand, until the model output matches a target objective, such as an action potential. Unfortunately, such models often fail to accurately simulate behavior that is dynamically dissimilar (e.g., arrhythmia) to the simple target objective to which the model was fit. In this study, we develop a new approach in which data are collected via a series of complex electrophysiology protocols from single cardiac myocytes and then used to tune model parameters via a parallel fitting method known as a genetic algorithm (GA). The dynamical complexity of the electrophysiological data, which can only be fit by an automated method such as a GA, leads to more accurately parameterized models that can simulate rich cardiac dynamics. The feasibility of the method is first validated computationally, after which it is used to develop models of isolated guinea pig ventricular myocytes that simulate the electrophysiological dynamics significantly better than does a standard guinea pig model. In addition to improving model fidelity generally, this approach can be used to generate a cell-specific model. By so doing, the approach may be useful in applications ranging from studying the implications of cell-to-cell variability to the prediction of intersubject differences in response to pharmacological treatment.Author Summary: Mathematical models of cardiac cell electrophysiology are widely used as predictive and illuminatory tools, but have been developed for decades using a suboptimal process. The models are typically constructed by manual adjustment of parameters to fit simple data and therefore often underperform when used to predict complex behavior such as arrhythmias. We present a novel method of model parameterization using automated optimization and dynamically rich fitting data and then demonstrate that this approach is better at finding the “real” model of a cell. Application of the method to cardiac myocytes leads to cell-specific models, which may enable well-controlled studies of both cellular- and subject-level population heterogeneity in disease propensity and response to therapies.

Suggested Citation

  • Willemijn Groenendaal & Francis A Ortega & Armen R Kherlopian & Andrew C Zygmunt & Trine Krogh-Madsen & David J Christini, 2015. "Cell-Specific Cardiac Electrophysiology Models," PLOS Computational Biology, Public Library of Science, vol. 11(4), pages 1-22, April.
  • Handle: RePEc:plo:pcbi00:1004242
    DOI: 10.1371/journal.pcbi.1004242
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    References listed on IDEAS

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    1. Jaspreet Kaur & Anders Nygren & Edward J Vigmond, 2014. "Fitting Membrane Resistance along with Action Potential Shape in Cardiac Myocytes Improves Convergence: Application of a Multi-Objective Parallel Genetic Algorithm," PLOS ONE, Public Library of Science, vol. 9(9), pages 1-10, September.
    2. Amrita X Sarkar & Eric A Sobie, 2010. "Regression Analysis for Constraining Free Parameters in Electrophysiological Models of Cardiac Cells," PLOS Computational Biology, Public Library of Science, vol. 6(9), pages 1-11, September.
    3. Pablo Achard & Erik De Schutter, 2006. "Complex Parameter Landscape for a Complex Neuron Model," PLOS Computational Biology, Public Library of Science, vol. 2(7), pages 1-11, July.
    4. Meron Gurkiewicz & Alon Korngreen, 2007. "A Numerical Approach to Ion Channel Modelling Using Whole-Cell Voltage-Clamp Recordings and a Genetic Algorithm," PLOS Computational Biology, Public Library of Science, vol. 3(8), pages 1-15, August.
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    1. Violeta Monasterio & Joel Castro-Mur & Jesús Carro, 2018. "DENIS: Solving cardiac electrophysiological simulations with volunteer computing," PLOS ONE, Public Library of Science, vol. 13(10), pages 1-12, October.
    2. Dmitrii Smirnov & Andrey Pikunov & Roman Syunyaev & Ruslan Deviatiiarov & Oleg Gusev & Kedar Aras & Anna Gams & Aaron Koppel & Igor R Efimov, 2020. "Genetic algorithm-based personalized models of human cardiac action potential," PLOS ONE, Public Library of Science, vol. 15(5), pages 1-31, May.
    3. Gustavo Montes Novaes & Enrique Alvarez-Lacalle & Sergio Alonso Muñoz & Rodrigo Weber dos Santos, 2022. "An ensemble of parameters from a robust Markov-based model reproduces L-type calcium currents from different human cardiac myocytes," PLOS ONE, Public Library of Science, vol. 17(4), pages 1-26, April.
    4. Tanmay A Gokhale & Jong M Kim & Robert D Kirkton & Nenad Bursac & Craig S Henriquez, 2017. "Modeling an Excitable Biosynthetic Tissue with Inherent Variability for Paired Computational-Experimental Studies," PLOS Computational Biology, Public Library of Science, vol. 13(1), pages 1-26, January.
    5. Sucheta Sehgal & Nitish D Patel & Avinash Malik & Partha S Roop & Mark L Trew, 2019. "Resonant model—A new paradigm for modeling an action potential of biological cells," PLOS ONE, Public Library of Science, vol. 14(5), pages 1-25, May.

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