A mathematical analysis of the generation and termination of calcium
sparks.
R. Hinch. Biophys. J., 86 (3):
1293--1307(March 2004)
Abstract
Calcium sparks are local regenerative releases of Ca$^2+$ from
a cluster of ryanodine receptors on the sarcoplasmic reticulum. During
excitation-contraction coupling in cardiac cells, Ca$^2+$ sparks
are triggered by Ca$^2+$ entering the cell via the T-tubules
(Ca$^2+$-induced Ca$^2+$ release). However under conditions
of calcium overload, Ca$^2+$ sparks can be triggered spontaneously.
The exact process by which Ca$^2+$ sparks terminate is still
an open question, although both deterministic and stochastic processes
are likely to be important. In this article, asymptotic methods are
used to analyze a single Ca$^2+$ spark model, which includes
both deterministic and stochastic biophysical mechanisms. The analysis
calculates both spark frequencies and spark duration distributions,
and shows under what circumstances stochastic transitions are important.
Additionally, a model of the coupling of the release channels via
the FK-binding protein is analyzed.
%0 Journal Article
%1 Hinc_2004_1293
%A Hinch, R.
%D 2004
%J Biophys. J.
%K 14990462 ATPase, Action Animals, Biological, Calcium Calcium, Cardiac, Cardiovascular, Cell Cells, Channel Channel, Channels, Comparative Computer Computing, Conduction, Contraction, Cultured, Electrophysiology, Enzyme Gating, Gov't, Heart Heart, Humans, Inhibitors, Ion L-Type, Magnetics, Mathematical Membrane Membrane, Models, Muscle Myocardial Myocytes, Neural Neurological, Neurons, Non-U.S. P.H.S., Potentials, Processes, Rate, Rats, Receptor Release Research Reticulum, Ryanodine Sarcolemma, Sarcoplasmic Signaling, Simulation, Sodium Statistical, Stochastic Study, Support, U.S. Ventricles, {C}a$^{2+}$-Transporting
%N 3
%P 1293--1307
%T A mathematical analysis of the generation and termination of calcium
sparks.
%U http://www.biophysj.org/cgi/content/full/86/3/1293
%V 86
%X Calcium sparks are local regenerative releases of Ca$^2+$ from
a cluster of ryanodine receptors on the sarcoplasmic reticulum. During
excitation-contraction coupling in cardiac cells, Ca$^2+$ sparks
are triggered by Ca$^2+$ entering the cell via the T-tubules
(Ca$^2+$-induced Ca$^2+$ release). However under conditions
of calcium overload, Ca$^2+$ sparks can be triggered spontaneously.
The exact process by which Ca$^2+$ sparks terminate is still
an open question, although both deterministic and stochastic processes
are likely to be important. In this article, asymptotic methods are
used to analyze a single Ca$^2+$ spark model, which includes
both deterministic and stochastic biophysical mechanisms. The analysis
calculates both spark frequencies and spark duration distributions,
and shows under what circumstances stochastic transitions are important.
Additionally, a model of the coupling of the release channels via
the FK-binding protein is analyzed.
@article{Hinc_2004_1293,
abstract = {Calcium sparks are local regenerative releases of {C}a$^{2+}$ from
a cluster of ryanodine receptors on the sarcoplasmic reticulum. During
excitation-contraction coupling in cardiac cells, {C}a$^{2+}$ sparks
are triggered by {C}a$^{2+}$ entering the cell via the T-tubules
({C}a$^{2+}$-induced {C}a$^{2+}$ release). However under conditions
of calcium overload, {C}a$^{2+}$ sparks can be triggered spontaneously.
The exact process by which {C}a$^{2+}$ sparks terminate is still
an open question, although both deterministic and stochastic processes
are likely to be important. In this article, asymptotic methods are
used to analyze a single {C}a$^{2+}$ spark model, which includes
both deterministic and stochastic biophysical mechanisms. The analysis
calculates both spark frequencies and spark duration distributions,
and shows under what circumstances stochastic transitions are important.
Additionally, a model of the coupling of the release channels via
the FK-binding protein is analyzed.},
added-at = {2009-06-03T11:20:58.000+0200},
author = {Hinch, R.},
biburl = {https://www.bibsonomy.org/bibtex/22750effa77dd0f3a146aaaa903f59f13/hake},
description = {The whole bibliography file I use.},
file = {Hinc_2004_1293.pdf:Hinc_2004_1293.pdf:PDF},
interhash = {62dbb8bc8e42a30e7fabfa270b5ce7d0},
intrahash = {2750effa77dd0f3a146aaaa903f59f13},
journal = {Biophys. J.},
key = 62,
keywords = {14990462 ATPase, Action Animals, Biological, Calcium Calcium, Cardiac, Cardiovascular, Cell Cells, Channel Channel, Channels, Comparative Computer Computing, Conduction, Contraction, Cultured, Electrophysiology, Enzyme Gating, Gov't, Heart Heart, Humans, Inhibitors, Ion L-Type, Magnetics, Mathematical Membrane Membrane, Models, Muscle Myocardial Myocytes, Neural Neurological, Neurons, Non-U.S. P.H.S., Potentials, Processes, Rate, Rats, Receptor Release Research Reticulum, Ryanodine Sarcolemma, Sarcoplasmic Signaling, Simulation, Sodium Statistical, Stochastic Study, Support, U.S. Ventricles, {C}a$^{2+}$-Transporting},
month = Mar,
number = 3,
pages = {1293--1307},
pmid = {14990462},
timestamp = {2009-06-03T11:21:14.000+0200},
title = {A mathematical analysis of the generation and termination of calcium
sparks.},
url = {http://www.biophysj.org/cgi/content/full/86/3/1293},
volume = 86,
year = 2004
}