Evolution of Cardiac Calcium Waves from Stochastic Calcium Sparks
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ID: 118648
2001
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Abstract
We present a model that provides a unified framework for studying Ca2+ sparks and Ca2+ waves in cardiac cells. The model is novel in combining 1) use of large currents (approximately 20 pA) through the Ca2+ release units (CRUs) of the sarcoplasmic reticulum (SR); 2) stochastic Ca2+ release (or firing) of CRUs; 3) discrete, asymmetric distribution of CRUs along the longitudinal (separation distance of 2 microm) and transverse (separated by 0.4-0.8 microm) directions of the cell; and 4) anisotropic diffusion of Ca2+ and fluorescent indicator to study the evolution of Ca2+ waves from Ca2+ sparks. The model mimics the important features of Ca2+ sparks and Ca2+ waves in terms of the spontaneous spark rate, the Ca2+ wave velocity, and the pattern of wave propagation. Importantly, these features are reproduced when using experimentally measured values for the CRU Ca2+ sensitivity (approximately 15 microM). Stochastic control of CRU firing is important because it imposes constraints on the Ca2+ sensitivity of the CRU. Even with moderate (approximately 5 microM) Ca2+ sensitivity the very high spontaneous spark rate triggers numerous Ca2+ waves. In contrast, a single Ca2+ wave with arbitrarily large velocity can exist in a deterministic model when the CRU Ca2+ sensitivity is sufficiently high. The combination of low CRU Ca2+ sensitivity (approximately 15 microM), high cytosolic Ca2+ buffering capacity, and the spatial separation of CRUs help control the inherent instability of SR Ca2+ release. This allows Ca2+ waves to form and propagate given a sufficiently large initiation region, but prevents a single spark or a small group of sparks from triggering a wave.
| Reference Key |
balke2001biophysicalevolution
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| Authors | Leighton T. Izu,W. Gil Wier,C. William Balke;Leighton T. Izu;W. Gil Wier;C. William Balke; |
| Journal | Biophysical journal |
| Year | 2001 |
| DOI |
10.1016/s0006-3495(01)75998-x
|
| URL | |
| Keywords |
model
evolution
stochastic
release
ca2
sparks
waves
cru
microm
National Center for Biotechnology Information
NCBI
NLM
MEDLINE
animals
pubmed abstract
nih
national institutes of health
national library of medicine
models
research support
u.s. gov't
P.H.S.
linear models
in vitro techniques
kinetics
stochastic processes
myocardium / cytology
buffers
Biophysics
biophysical phenomena
pmid:11159386
pmc1301217
doi:10.1016/s0006-3495(01)75998-x
l t izu
w g wier
c w balke
calcium signaling / physiology*
cardiovascular*
myocardium / metabolism*
nonlinear dynamics
sarcoplasmic reticulum / metabolism
|
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