Literature DB >> 8376919

A mathematical model for fundamental regulation processes in the cardiovascular system.

F Kappel1, R O Peer.   

Abstract

Based on the four compartment model by Grodins we develop a model for the response of the cardiovascular system to a short term submaximal workload. Basic mechanisms included in the model are Starling's law of the heart, the Bowditch effect and autoregulation in the peripheral regions. A fundamental assumption is that the action of the feedback control is represented by the baroceptor loop and minimizes a quadratic cost functional. Simulation results show that the model provides a satisfactory description of data obtained in bicycle ergometer tests.

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Year:  1993        PMID: 8376919     DOI: 10.1007/bf00161201

Source DB:  PubMed          Journal:  J Math Biol        ISSN: 0303-6812            Impact factor:   2.259


  4 in total

1.  Integrative cardiovascular physiology: a mathematical synthesis of cardiac and blood vessel hemodynamics.

Authors:  F S GRODINS
Journal:  Q Rev Biol       Date:  1959-06       Impact factor: 4.875

2.  Optimal control aspects of left ventricular ejection dynamics.

Authors:  E J Noldus
Journal:  J Theor Biol       Date:  1976-12       Impact factor: 2.691

3.  Least energy regulation of the arterial system.

Authors:  E Doubek
Journal:  Bull Math Biol       Date:  1978       Impact factor: 1.758

4.  Cardiac output during submaximal and maximal exercise in active middle-aged athletes.

Authors:  G Grimby; N J Nilsson; B Saltin
Journal:  J Appl Physiol       Date:  1966-07       Impact factor: 3.531

  4 in total
  6 in total

1.  Blood pressure and blood flow variation during postural change from sitting to standing: model development and validation.

Authors:  Mette S Olufsen; Johnny T Ottesen; Hien T Tran; Laura M Ellwein; Lewis A Lipsitz; Vera Novak
Journal:  J Appl Physiol (1985)       Date:  2005-04-28

2.  A cardiovascular-respiratory control system model including state delay with application to congestive heart failure in humans.

Authors:  Jerry J Batzel; Franz Kappel; Susanne Timischl-Teschl
Journal:  J Math Biol       Date:  2004-10-07       Impact factor: 2.259

3.  Current computational models do not reveal the importance of the nervous system in long-term control of arterial pressure.

Authors:  John W Osborn; Viktoria A Averina; Gregory D Fink
Journal:  Exp Physiol       Date:  2009-04       Impact factor: 2.969

4.  Clinical trial simulation using therapeutic effect modeling: application to ivabradine efficacy in patients with angina pectoris.

Authors:  Sylvie Chabaud; Pascal Girard; Patrice Nony; Jean-Pierre Boissel
Journal:  J Pharmacokinet Pharmacodyn       Date:  2002-08       Impact factor: 2.745

5.  Pharmacokinetic-pharmacodynamic modelling of the cardiovascular effects of drugs - method development and application to magnesium in sheep.

Authors:  Richard N Upton; Guy L Ludbrook
Journal:  BMC Pharmacol       Date:  2005-03-10

Review 6.  Seven Mathematical Models of Hemorrhagic Shock.

Authors:  Luciano Curcio; Laura D'Orsi; Andrea De Gaetano
Journal:  Comput Math Methods Med       Date:  2021-06-03       Impact factor: 2.238

  6 in total

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