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A Note Regarding The Mathematical Treatment Of A Class Of Steady-State Compartmental Models Of The Circulation, Ronald White
A Note Regarding The Mathematical Treatment Of A Class Of Steady-State Compartmental Models Of The Circulation, Ronald White
Center for Advanced Mineral and Metallurgical Processing (CAMP)
A class of steady-state compartmental models of the circulation is examined and it is shown that the mathematical problem for this model class involves a single nonlinear equation. In an important subclass and with certain assumptions regarding the form of the Starling-type cardiac function curves, the single equation is of the form Z = μ + λ log[(1 − Z)/Z] where μ and λ are mathematical parameters related to the physiological parameters of the system and Z is proportional to the cardiac output. This result holds regardless of the number and arrangement of compartments within the model …