scholarly journals A Mathematical Model of Electrotonic Interactions between Ventricular Myocytes and Fibroblasts

2007 ◽  
Vol 92 (11) ◽  
pp. 4121-4132 ◽  
Author(s):  
K. Andrew MacCannell ◽  
Hojjat Bazzazi ◽  
Lisa Chilton ◽  
Yoshiyuki Shibukawa ◽  
Robert B. Clark ◽  
...  
2000 ◽  
Vol 279 (1) ◽  
pp. H250-H259 ◽  
Author(s):  
Delilah J. Huelsing ◽  
Kenneth W. Spitzer ◽  
Andrew E. Pollard

Many studies suggest that early afterdepolarizations (EADs) arising from Purkinje fibers initiate triggered arrhythmias under pathological conditions. However, electrotonic interactions between Purkinje and ventricular myocytes may either facilitate or suppress EAD formation at the Purkinje-ventricular interface. To determine conditions that facilitated or suppressed EADs during Purkinje-ventricular interactions, we coupled single Purkinje myocytes and aggregates isolated from rabbit hearts to a passive model cell via an electronic circuit with junctional resistance ( R j). The model cell had input resistance ( R m,v) of 50 MΩ, capacitance of 39 pF, and a variable rest potential ( V rest,v). EADs were induced in Purkinje myocytes during superfusion with 1 μM isoproterenol. Coupling at high R j to normally polarized V rest,v established a repolarizing coupling current during all phases of the Purkinje action potential. This coupling current preferentially suppressed EADs in single cells with mean membrane resistance ( R m,p) of 297 MΩ, whereas EAD suppression in larger aggregates with mean R m,p of 80 MΩ required larger coupling currents. In contrast, coupling to elevated V rest,v established a depolarizing coupling current during late phase 2, phase 3, and phase 4 that facilitated EAD formation and induced spontaneous activity in single Purkinje myocytes and aggregates. These results have important implications for arrhythmogenesis in the infarcted heart when reduction of the ventricular mass due to scarring alters the R m,p-to- R m,v ratio and in the ischemic heart when injury currents are established during coupling between polarized Purkinje myocytes and depolarized ventricular myocytes.


1998 ◽  
Vol 274 (4) ◽  
pp. H1163-H1173 ◽  
Author(s):  
Delilah J. Huelsing ◽  
Kenneth W. Spitzer ◽  
Jonathan M. Cordeiro ◽  
Andrew E. Pollard

Conduction at the Purkinje-ventricular junction (PVJ) demonstrates unidirectional block under both physiological and pathophysiological conditions. Although this block is typically attributed to multidimensional electrotonic interactions, we examined possible membrane-level contributions using single, isolated rabbit Purkinje (P) and ventricular (V) myocytes coupled by an electronic circuit. When we varied the junctional resistance ( R j) between paired V myocytes, conduction block occurred at lower R j values during conduction from the smaller to larger myocyte (115 ± 59 MΩ) than from the larger to smaller myocyte (201 ± 51 MΩ). In Purkinje-ventricular myocyte pairs, however, block occurred at lower R j values during P-to-V conduction (85 ± 39 MΩ) than during V-to-P conduction (912 ± 175 MΩ), although there was little difference in the mean cell size. Companion computer simulations, performed to examine how the early plateau currents affected conduction, showed that P-to-V block occurred at lower R j values when the transient outward current was increased or the calcium current was decreased in the model P cell. These results suggest that intrinsic differences in phase 1 repolarization can contribute to unidirectional block at the PVJ.


2017 ◽  
Vol 312 (5) ◽  
pp. C595-C623 ◽  
Author(s):  
Kelvin Rozier ◽  
Vladimir E. Bondarenko

The β1- and β2-adrenergic signaling systems play different roles in the functioning of cardiac cells. Experimental data show that the activation of the β1-adrenergic signaling system produces significant inotropic, lusitropic, and chronotropic effects in the heart, whereas the effects of the β2-adrenergic signaling system is less apparent. In this paper, a comprehensive compartmentalized experimentally based mathematical model of the combined β1- and β2-adrenergic signaling systems in mouse ventricular myocytes is developed to simulate the experimental findings and make testable predictions of the behavior of the cardiac cells under different physiological conditions. Simulations describe the dynamics of major signaling molecules in different subcellular compartments; kinetics and magnitudes of phosphorylation of ion channels, transporters, and Ca2+ handling proteins; modifications of action potential shape and duration; and [Ca2+]i and [Na+]i dynamics upon stimulation of β1- and β2-adrenergic receptors (β1- and β2-ARs). The model reveals physiological conditions when β2-ARs do not produce significant physiological effects and when their effects can be measured experimentally. Simulations demonstrated that stimulation of β2-ARs with isoproterenol caused a marked increase in the magnitude of the L-type Ca2+ current, [Ca2+]i transient, and phosphorylation of phospholamban only upon additional application of pertussis toxin or inhibition of phosphodiesterases of type 3 and 4. The model also made testable predictions of the changes in magnitudes of [Ca2+]i and [Na+]i fluxes, the rate of decay of [Na+]i concentration upon both combined and separate stimulation of β1- and β2-ARs, and the contribution of phosphorylation of PKA targets to the changes in the action potential and [Ca2+]i transient.


2016 ◽  
Vol 310 (11) ◽  
pp. C844-C856 ◽  
Author(s):  
Mark Grinshpon ◽  
Vladimir E. Bondarenko

The β1-adrenergic signaling system is one of the most important protein signaling systems in cardiac cells. It regulates cardiac action potential duration, intracellular Ca2+concentration ([Ca2+]i) transients, and contraction force. In this paper, a comprehensive experimentally based mathematical model of the β1-adrenergic signaling system for mouse ventricular myocytes is explored to simulate the effects of moderate stimulations of β1-adrenergic receptors (β1-ARs) on the action potential, Ca2+and Na+dynamics, as well as the effects of inhibition of protein kinase A (PKA) and phosphodiesterase of type 4 (PDE4). Simulation results show that the action potential prolongations reach saturating values at relatively small concentrations of isoproterenol (∼0.01 μM), while the [Ca2+]itransient amplitude saturates at significantly larger concentrations (∼0.1–1.0 μM). The differences in the response of Ca2+and Na+fluxes to moderate stimulation of β1-ARs are also observed. Sensitivity analysis of the mathematical model is performed and the model limitations are discussed. The investigated model reproduces most of the experimentally observed effects of moderate stimulation of β1-ARs, PKA, and PDE4 inhibition on the L-type Ca2+current, [Ca2+]itransients, and the sarcoplasmic reticulum Ca2+load and makes testable predictions for the action potential duration and [Ca2+]itransients as functions of isoproterenol concentration.


2020 ◽  
Vol 318 (3) ◽  
pp. H485-H507 ◽  
Author(s):  
Tesfaye Negash Asfaw ◽  
Leonid Tyan ◽  
Alexey V. Glukhov ◽  
Vladimir E. Bondarenko

Various experimental mouse models are extensively used to research human diseases, including atrial fibrillation, the most common cardiac rhythm disorder. Despite this, there are no comprehensive mathematical models that describe the complex behavior of the action potential and [Ca2+]i transients in mouse atrial myocytes. Here, we develop a novel compartmentalized mathematical model of mouse atrial myocytes that combines the action potential, [Ca2+]i dynamics, and β-adrenergic signaling cascade for a subpopulation of right atrial myocytes with developed transverse-axial tubule system. The model consists of three compartments related to β-adrenergic signaling (caveolae, extracaveolae, and cytosol) and employs local control of Ca2+ release. It also simulates ionic mechanisms of action potential generation and describes atrial-specific Ca2+ handling as well as frequency dependences of the action potential and [Ca2+]i transients. The model showed that the T-type Ca2+ current significantly affects the later stage of the action potential, with little effect on [Ca2+]i transients. The block of the small-conductance Ca2+-activated K+ current leads to a prolongation of the action potential at high intracellular Ca2+. Simulation results obtained from the atrial model cells were compared with those from ventricular myocytes. The developed model represents a useful tool to study complex electrical properties in the mouse atria and could be applied to enhance the understanding of atrial physiology and arrhythmogenesis. NEW & NOTEWORTHY A new compartmentalized mathematical model of mouse right atrial myocytes was developed. The model simulated action potential and Ca2+ dynamics at baseline and after stimulation of the β-adrenergic signaling system. Simulations showed that the T-type Ca2+ current markedly prolonged the later stage of atrial action potential repolarization, with a minor effect on [Ca2+]i transients. The small-conductance Ca2+-activated K+ current block resulted in prolongation of the action potential only at the relatively high intracellular Ca2+.


2005 ◽  
Vol 89 (4) ◽  
pp. 2865-2887 ◽  
Author(s):  
Yasutaka Kurata ◽  
Ichiro Hisatome ◽  
Hiroyuki Matsuda ◽  
Toshishige Shibamoto

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