A mathematical model for fundamental regulation processes in the cardiovascular system

J Math Biol. 1993;31(6):611-31. doi: 10.1007/BF00161201.


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.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Blood Pressure / physiology
  • Blood Volume / physiology
  • Cardiovascular Physiological Phenomena*
  • Computer Simulation
  • Feedback
  • Homeostasis / physiology
  • Humans
  • Mathematics*
  • Models, Cardiovascular*
  • Pressoreceptors / physiology
  • Vascular Resistance / physiology
  • Ventricular Function