Abstract

Calcium (Ca2+) plays a central role in the excitation and contraction of cardiac myocytes. Experiments have indicated that calcium release is stochastic and regulated locally suggesting the possibility of spatially heterogeneous calcium levels in the cells. This spatial heterogeneity might be important in mediating different signaling pathways. During more than 50 years of computational cell biology, the computational models have been advanced to incorporate more ionic currents, going from deterministic models to stochastic models. While periodic increases in cytoplasmic Ca2+ concentration drive cardiac contraction, aberrant Ca2+ release can underly cardiac arrhythmia. However, the study of the spatial role of calcium ions has been limited due to the computational expense of using a three-dimensional stochastic computational model. In this paper, we introduce a three-dimensional stochastic computational model for rat ventricular myocytes at the whole-cell level that incorporate detailed calcium dynamics, with (1) non-uniform release site placement, (2) non-uniform membrane ionic currents and membrane buffers, (3) stochastic calcium-leak dynamics and (4) non-junctional or rogue ryanodine receptors. The model simulates spark-induced spark activation and spark-induced Ca2+ wave initiation and propagation that occur under conditions of calcium overload at the closed-cell condition, but not when Ca2+ levels are normal. This is considered important since the presence of Ca2+ waves contribute to the activation of arrhythmogenic currents.

Highlights

  • Ca2+ is released from the sarcoplasmic reticulum (SR) intracellular Ca2+ store in the form of Ca2+ sparks at discrete microdomains known as calcium release sites of size~300 nm in width and ~12 nm in height [1]

  • Due to the fast diffusion rate of wthitehmCeamTrbprnan=e pcaoltceinutmia-lbVoumn, idt itsoastrsoupmoendint,haCtatChaeltmran=smcaelcmiubmra-nboeupnodtecnatlimaloVdmuilsins,patially CuanSiRfo=rmcaldciiusmtri-bbuoutendd atocrSoRssbuthffeerc,eClla.FT=hecadlcyiunmam-biocusnodf ttoraFnlusmo-3e.mObfrtahneesep, coatlemnotidaul liisn,derived thfreoSmL,tShRe mioenmicbcraunrerebnutfsfeirns tahnedftorormpo:nin are assumed to be stationary and are described by the following ordinary differential equations: FFigiguurere3.3T. hTehsechscehmeamticatdiciadgiragmrasmhowshsoawgsriadgproiidntpaosinatcausbea ocfusbizeeo2f0s0iznem2o0n0 enamchodnimeaecnhsidoniminension in ththee3-3d-idmimenesniosnioanl sapl ascpea. cIen.tIhnisthcuisbce,uwbe,pwuet apsuint galesidnygaled.dAysasdu.mAinssgutmhaitntghethwaitdtthheowf tihdethdyoafdthise dyad is 300 nm, we model the efflux of calcium flowing into 4 adjacent grid points, and it is split into 4 parts

  • Aside from a snapshot of a pseudo-line scan calcium transient during a Ca2+ transient along the longitudinal direction (A), we demonstrate the dynamics of free calcium content in (B), the dynamics of calcium-bound fluorescence in (C), and the dynamics of total calcium content in (D)

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Summary

Introduction

Ca2+ is released from the sarcoplasmic reticulum (SR) intracellular Ca2+ store in the form of Ca2+ sparks at discrete microdomains known as calcium release sites of size~300 nm in width and ~12 nm in height [1]. The large size of the ventricular myocyte (~120 μm in length, ~20 μm in width and ~15 μm in depth) allows calcium signals to propagate as Ca2+ waves if the conditions are right. During Ca2+ alternans, a wave-like Ca2+ release was observed during systole in ventricular myocytes by triggering the cells with a small stimulus [5,6]. The mechanism and conditions under which calcium sparks can form a propagating calcium wave is still under investigation. Ca2+ wave generation in myocytes is linked to RyR2 gating and sarcoplasmic reticulum Ca2+ overload [7]. Ca2+ waves in rat ventricular myocytes have been observed during diastole under Ca2+ overload conditions [8,9,10]

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