A mathematical model of the contraction rate of myocardial cells

Michael A. Savageau

Research output: Contribution to journalArticle

Abstract

A mathematical model, based on molecular mechanisms that are found in microorganisms and are believed to function in higher organisms, was formulated to describe the contraction rate of rat cardiac cells in response to prolonged perfusion. The describing equation's of the system are three simultaneous nonlinear time-variant differential equations. The parameters represented at different times in culture were estimated from steady state considerations, and the model was then used to predict the dynamic responses observed experimentally. Solutions were obtained by digital computer. The agreement between theoretical and experimental results is good. This model is in the early stages of development and many assumptions remain to be tested. But is has already contributed to the design of experiments for testing those assumptions.

Original languageEnglish (US)
Pages (from-to)29-42
Number of pages14
JournalBioSystems
Volume2
Issue number1
StatePublished - Mar 1968
Externally publishedYes

Fingerprint

Myocardial Contraction
contraction
Contraction
Theoretical Models
mathematical models
Mathematical Model
Mathematical models
Microorganisms
Design of Experiments
Cell
Digital computers
Dynamic Response
Cardiac
Design of experiments
Dynamic response
Rats
Differential equations
Perfusion
experimental design
cells

ASJC Scopus subject areas

  • Drug Discovery
  • Biotechnology
  • Ecology, Evolution, Behavior and Systematics

Cite this

A mathematical model of the contraction rate of myocardial cells. / Savageau, Michael A.

In: BioSystems, Vol. 2, No. 1, 03.1968, p. 29-42.

Research output: Contribution to journalArticle

Savageau, MA 1968, 'A mathematical model of the contraction rate of myocardial cells', BioSystems, vol. 2, no. 1, pp. 29-42.
Savageau, Michael A. / A mathematical model of the contraction rate of myocardial cells. In: BioSystems. 1968 ; Vol. 2, No. 1. pp. 29-42.
@article{4951dea7e22444fa93dd9adb50cad572,
title = "A mathematical model of the contraction rate of myocardial cells",
abstract = "A mathematical model, based on molecular mechanisms that are found in microorganisms and are believed to function in higher organisms, was formulated to describe the contraction rate of rat cardiac cells in response to prolonged perfusion. The describing equation's of the system are three simultaneous nonlinear time-variant differential equations. The parameters represented at different times in culture were estimated from steady state considerations, and the model was then used to predict the dynamic responses observed experimentally. Solutions were obtained by digital computer. The agreement between theoretical and experimental results is good. This model is in the early stages of development and many assumptions remain to be tested. But is has already contributed to the design of experiments for testing those assumptions.",
author = "Savageau, {Michael A.}",
year = "1968",
month = "3",
language = "English (US)",
volume = "2",
pages = "29--42",
journal = "BioSystems",
issn = "0303-2647",
publisher = "Elsevier Ireland Ltd",
number = "1",

}

TY - JOUR

T1 - A mathematical model of the contraction rate of myocardial cells

AU - Savageau, Michael A.

PY - 1968/3

Y1 - 1968/3

N2 - A mathematical model, based on molecular mechanisms that are found in microorganisms and are believed to function in higher organisms, was formulated to describe the contraction rate of rat cardiac cells in response to prolonged perfusion. The describing equation's of the system are three simultaneous nonlinear time-variant differential equations. The parameters represented at different times in culture were estimated from steady state considerations, and the model was then used to predict the dynamic responses observed experimentally. Solutions were obtained by digital computer. The agreement between theoretical and experimental results is good. This model is in the early stages of development and many assumptions remain to be tested. But is has already contributed to the design of experiments for testing those assumptions.

AB - A mathematical model, based on molecular mechanisms that are found in microorganisms and are believed to function in higher organisms, was formulated to describe the contraction rate of rat cardiac cells in response to prolonged perfusion. The describing equation's of the system are three simultaneous nonlinear time-variant differential equations. The parameters represented at different times in culture were estimated from steady state considerations, and the model was then used to predict the dynamic responses observed experimentally. Solutions were obtained by digital computer. The agreement between theoretical and experimental results is good. This model is in the early stages of development and many assumptions remain to be tested. But is has already contributed to the design of experiments for testing those assumptions.

UR - http://www.scopus.com/inward/record.url?scp=49949122138&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=49949122138&partnerID=8YFLogxK

M3 - Article

VL - 2

SP - 29

EP - 42

JO - BioSystems

JF - BioSystems

SN - 0303-2647

IS - 1

ER -