title: A comprehensive elementary model of the mammalian circulatory system.
abstract: Beginning with a set of simplifying assumptions and the statements for the hydrodynamic and thermodynamic processes involved, a comprehensive mathematical model for the mammalian circulatory system is developed and evaluated. Analytical relationships are derived and examined for the circulatory component pressures, flow rates, blood volumes, flow resistances, pumping power and pumping rate. The essential circulatory model parameters are identified and inspected for their influence upon circulatory behavior. A complete and consistent set of circulatory model parameters is given for the adult human male and the model response is examined. In general, agreement of the model predictions for man with experimental data is good.
mesh_terms: D000328:Adult; D000818:Animals; D001775:Blood Circulation; D001783:Blood Flow Velocity; D001794:Blood Pressure; D006439:Hemodynamics; D006801:Humans; D008297:Male; D008322:Mammals; D008433:Mathematics; D008955:Models, Cardiovascular; D013816:Thermodynamics