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General formulation of the cardiovascular control problem—mathematical models of the mechanical system
Author(s) -
Grodins Fred S.,
Buoncristiani John F.
Publication year - 1970
Publication title -
behavioral science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 45
eISSN - 1099-1743
pISSN - 0005-7940
DOI - 10.1002/bs.3830150109
Subject(s) - fortran , computer science , state (computer science) , control engineering , programming language , engineering
The history of our notions about cardiovascular regulation and the development of mathematical descriptions of the mechanical cardiovascular system are briefly reviewed. A mathematical model for the ventricle is developed which incorporates most of our current ideas about the fundamental properties of heart muscle (force‐lenght, force‐velocity, active state, homeometric autoregulation, series compliance). A FORTRAN program was written for convenient digital simulation, and some of the results of preliminary explorations are described.

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