The MultiCompartment Circulatory System is based on pages 450-452 from J. Keener and J. Sneyd, Mathematical Physiology, Vol. 8 in series Interdisciplinary Applied Mathematics, Springer-Verlag New York Inc.,

Description

This is an algebraic model for a Multicompartment Circulatory System based
on the reference, pages 450-452. The values for the various parameters and
the ratios of the compliances were chosen so that the compliances and initial
volumes would all be positive. The volumes were distributed so that the systemic
volume was eleven times greater than the pulmonary volume, and the venous volumes
were 60% of the total volume. The flow, pressures, beats per minute, volumes and ratio
of compliances were set, and the resistances, compliances, and initial volumes
were solved for.

The second model in this project, MultiCircSystem2, sets the compliances
and resistances, and solves for the pressures, volumes, and ratios of
the compliances. 

The subscript conventions are given as
	a	arterial
	v	venous
	s	systemic
	p	pulmonary
	
	r	right
	l	left
	d	diastolic
	s	systolic

e.g.
	Csa	Compliance of the systemic arteries.
	Cld	Diastolic compliance of left heart.
	Ps1	Pressure at the ill-defined border
		between systemic arteries and systemic
		capillaries.

Figure (above) is a diagram of the MultiCircSystem model and is derived from Figure 15.8 of reference.

Equations

The equations for this model may be viewed by running the JSim model applet and clicking on the Source tab at the bottom left of JSim's Run Time graphical user interface. The equations are written in JSim's Mathematical Modeling Language (MML). See the Introduction to MML and the MML Reference Manual. Additional documentation for MML can be found by using the search option at the Physiome home page.