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Talk abstract:
Modeling Cardiac Excitation-Contraction Coupling: New Insights into
Interval-Force Relations
Saleet Jafri, Johns Hopkins Univ. Sch. of Medicine
We construct a detailed mathematical model for calcium (Ca) regulation in the
ventricular myocyte that includes novel descriptions of subcellular mechanisms
based on recent experimental findings: 1) the Keizer-Levine model for the
sarcoplasmic reticulum (SR) Ca release channel, the ryanodine receptor (RyR),
which displays adaptation at elevated Ca as observed by Gyorke
and Fill; 2) a model for the L-type Ca channel that inactivates by mode
switching, as suggested by Imredy and Yue; and 3) a restricted subspace
into which the RyRs and L-type Ca channels empty and interact via Ca. We add
membrane currents from the Luo-Rudy Phase II ventricular cell model and
isometric force generation from the Rice-Hunter-Winslow model to our
description of Ca handling to formulate a new model for ventricular action
potentials, Ca regulation and force generation. The model can simulate Ca
transients during an action potential similar to those seen experimentally.
The subspace [Ca] rises more rapidly and reaches a higher level (10-30 uM)
than the bulk myoplasmic Ca (peak [Cai] 1 uM). Termination
of SR Ca release is predominately due to emptying of the SR but is influenced
by RyR adaptation. We explore the effects of pacing rate on force generation.
The model reproduces transitions seen in force generation due to changes in
pacing that cannot be simulated by previous models. Simulation of such complex
phenomena requires an interplay of both RyR adaptation and the degree of SR Ca
loading. This model, therefore, shows improved behavior over existing models
that lack detailed descriptions of subcellular Ca regulatory mechanisms.
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