Abstract

BackgroundThe objective of this study is to develop a comprehensive model of the electromechanical behavior of the rat ventricular myocyte to investigate the various factors influencing its contractile response.MethodsHere, we couple a model of Ca2 + dynamics described in our previous work, with a well-known model of contractile mechanics developed by Rice, Wang, Bers and de Tombe to develop a composite multiphysics model of excitation-contraction coupling. This comprehensive cell model is studied under voltage clamp (VC) conditions, since it allows to focus our study on the elaborate Ca2 + signaling system that controls the contractile mechanism.ResultsWe examine the role of various factors influencing cellular contractile response. In particular, direct factors such as the amount of activator Ca2 + available to trigger contraction and the type of mechanical load applied (resulting in isosarcometric, isometric or unloaded contraction) are investigated. We also study the impact of temperature (22 to 38°C) on myofilament contractile response. The critical role of myofilament Ca2 + sensitivity in modulating developed force is likewise studied, as is the indirect coupling of intracellular contractile mechanism with the plasma membrane via the Na + /Ca2 + exchanger (NCX). Finally, we demonstrate a key linear relationship between the rate of contraction and relaxation, which is shown here to be intrinsically coupled over the full range of physiological perturbations.ConclusionsExtensive testing of the composite model elucidates the importance of various direct and indirect modulatory influences on cellular twitch response with wide agreement with measured data on all accounts. Thus, the model provides mechanistic insights into whole-cell responses to a wide variety of testing approaches used in studies of cardiac myofilament contractility that have appeared in the literature over the past several decades.

Highlights

  • The objective of this study is to develop a comprehensive model of the electromechanical behavior of the rat ventricular myocyte to investigate the various factors influencing its contractile response

  • Myoplasmic Ca2+ concentration [calcium ion concentration (Ca2+])myo is returned to resting levels by combination of: (a) Ca2+ buffering in the dyadic space and myoplasm; (b) sequestration of Ca2+y by sarcoplasmic/endoplasmic reticulum Ca2+-ATPase (SERCA)type calcium pumps lining the longitudinal portion of the sarcoplasmic reticulum (LSR); and (c) Ca2+ extrusion from the myoplasm by Na+/Ca2+ exchangers and Ca2+-ATPase pumps on the sarcolemmal membrane

  • We model the effects of ISO by allowing the cumulative activation rate constant for Ca2+-binding to the troponin regulatory site to be a function of unphosphorylated troponin I (TnI) (TnIu), the availability of which is in turn dependent on the amount of ISO present (Appendix, Equations 1,5); (c) the large Q10 values used by Rice et al (Qfapp, Qhf, Qhb and Qgxb, Table 1, [13]) are decreased from 6.25 to 2.25 in order to reproduce temperature dependence of peak force developed in intact thin rat ventricular trabeculae [14]

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Summary

Introduction

The objective of this study is to develop a comprehensive model of the electromechanical behavior of the rat ventricular myocyte to investigate the various factors influencing its contractile response. Methods: Here, we couple a model of Ca2+ dynamics described in our previous work, with a well-known model of contractile mechanics developed by Rice, Wang, Bers and de Tombe to develop a composite multiphysics model of excitation-contraction coupling. This comprehensive cell model is studied under voltage clamp (VC) conditions, since it allows to focus our study on the elaborate Ca2+ signaling system that controls the contractile mechanism. Following diffusion across a small sub-membrane dyadic space, this influx activates ryanodine receptors (RyRs) controlling ryanodine-sensitive Ca2+ release channels in the junctional portion of the sarcoplasmic reticulum (jSR). Myoplasmic Ca2+ concentration [Ca2+]myo is returned to resting levels by combination of: (a) Ca2+ buffering in the dyadic space and myoplasm; (b) sequestration of Ca2+y by sarcoplasmic/endoplasmic reticulum Ca2+-ATPase (SERCA)type calcium pumps lining the longitudinal portion of the sarcoplasmic reticulum (LSR); and (c) Ca2+ extrusion from the myoplasm by Na+/Ca2+ exchangers and Ca2+-ATPase pumps on the sarcolemmal membrane

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