Abstract
The electric current flow in the heterogeneous and anysotropic volume conductor of the myocardium is studied. The equations of bidomain theory are derived using an approach framed in the theory of averaged fields, introducing microscopic, mesoscopic and macroscopic spatial scales. However, the procedure, compatible with the histological and the anatomical details of the organ, is different from the multiple scale asymptotic expansions usually applied in homogeneization problems. A probabilistic approach framed in large numbers theorems is used to derive the equation for membrane ionic current from the stochastic activity of the channels at the microscopic level. An operational procedure suitable to define a sharp bidomain boundary from the fuzzy distribution of structural details and physical properties at the histological level is given. The problem of threshold is studied. The sizes and shapes of critical masses of cardiac cells that must be depolarized above threshold in order to produce a propagated action potential are determined by an approximate analytical procedure. The concept of family of threshold patterns for the emergence of action potentials in the heart is introduced. This concept is applied to discuss the conditions of emergence of ectopic focus. Analytical formulae are derived, for the time constant and the
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Suarez Antola, R
[1]
- Universidad , Montevideo(Uruguay)
Citation Formats
Suarez Antola, R.
Biophysical foundations for the study of the electrical excitability and action potential propagation in myocardium; Fundamentos biofisicos para el estudio de la excitacion electrica y la propagacion del potencial de accion en el miocardio.
Uruguay: N. p.,
1991.
Web.
Suarez Antola, R.
Biophysical foundations for the study of the electrical excitability and action potential propagation in myocardium; Fundamentos biofisicos para el estudio de la excitacion electrica y la propagacion del potencial de accion en el miocardio.
Uruguay.
Suarez Antola, R.
1991.
"Biophysical foundations for the study of the electrical excitability and action potential propagation in myocardium; Fundamentos biofisicos para el estudio de la excitacion electrica y la propagacion del potencial de accion en el miocardio."
Uruguay.
@misc{etde_21212519,
title = {Biophysical foundations for the study of the electrical excitability and action potential propagation in myocardium; Fundamentos biofisicos para el estudio de la excitacion electrica y la propagacion del potencial de accion en el miocardio}
author = {Suarez Antola, R}
abstractNote = {The electric current flow in the heterogeneous and anysotropic volume conductor of the myocardium is studied. The equations of bidomain theory are derived using an approach framed in the theory of averaged fields, introducing microscopic, mesoscopic and macroscopic spatial scales. However, the procedure, compatible with the histological and the anatomical details of the organ, is different from the multiple scale asymptotic expansions usually applied in homogeneization problems. A probabilistic approach framed in large numbers theorems is used to derive the equation for membrane ionic current from the stochastic activity of the channels at the microscopic level. An operational procedure suitable to define a sharp bidomain boundary from the fuzzy distribution of structural details and physical properties at the histological level is given. The problem of threshold is studied. The sizes and shapes of critical masses of cardiac cells that must be depolarized above threshold in order to produce a propagated action potential are determined by an approximate analytical procedure. The concept of family of threshold patterns for the emergence of action potentials in the heart is introduced. This concept is applied to discuss the conditions of emergence of ectopic focus. Analytical formulae are derived, for the time constant and the rheobase for electrical stimulation of the myocardium. These formulae are in good agreement with known experimental results. New experiments that could be done to confirm or reject them are suggested.}
place = {Uruguay}
year = {1991}
month = {Jul}
}
title = {Biophysical foundations for the study of the electrical excitability and action potential propagation in myocardium; Fundamentos biofisicos para el estudio de la excitacion electrica y la propagacion del potencial de accion en el miocardio}
author = {Suarez Antola, R}
abstractNote = {The electric current flow in the heterogeneous and anysotropic volume conductor of the myocardium is studied. The equations of bidomain theory are derived using an approach framed in the theory of averaged fields, introducing microscopic, mesoscopic and macroscopic spatial scales. However, the procedure, compatible with the histological and the anatomical details of the organ, is different from the multiple scale asymptotic expansions usually applied in homogeneization problems. A probabilistic approach framed in large numbers theorems is used to derive the equation for membrane ionic current from the stochastic activity of the channels at the microscopic level. An operational procedure suitable to define a sharp bidomain boundary from the fuzzy distribution of structural details and physical properties at the histological level is given. The problem of threshold is studied. The sizes and shapes of critical masses of cardiac cells that must be depolarized above threshold in order to produce a propagated action potential are determined by an approximate analytical procedure. The concept of family of threshold patterns for the emergence of action potentials in the heart is introduced. This concept is applied to discuss the conditions of emergence of ectopic focus. Analytical formulae are derived, for the time constant and the rheobase for electrical stimulation of the myocardium. These formulae are in good agreement with known experimental results. New experiments that could be done to confirm or reject them are suggested.}
place = {Uruguay}
year = {1991}
month = {Jul}
}