The human circulatory system is one of the
admirable rhythms of nature. The heart and the vasculature are constitutive
structures. The vasculature consists of arterial and venous appurtenances which
are arranged in an idealized network capable of enhancing circulation. The crux
of this study is the representation of the cardiovascular system as a network
in which electrical constraints apply. As a network, the system is amenable to
graph analytic treatment; as edge-nodal parameters ensue, topological
constraints apply. In virtue of cardiac auto-rhythmicity, electrical impulses
are driven through the vessels to the body cells. As a rule, the vessels must
elicit a modicum of resistance. This work weaponized the elements of graph
theory and electrical properties of the heart in elucidating the flow mechanism
associated with the cardio-vascular system. The voltage drop across the
connecting vessels (idealized as wires) was carefully depicted and analyzed by
the method of matrices. When the cardiac function is within physiological
definition a vascular compartment may be a liability in the event of poor
circulation. Therefore the knowledge of vascular resistive capacities, which
this work portrayed, is a sine-qua-non to the assessment of flow integrity of
the system under consideration.
MSC 2010 No.: 05C21, 92C42, 92B25.
Keywords: Cardiovascular, Network, Matrices, Flow, Circuit, Edges and
Nodes, Wave propagation, Bifurcation.