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A Model of Blood Flow in a Circulation Network

Weihua Ruan·M. E. Clark·Meide Zhao·Anthony Curcio
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Abstract

We study a mathematical model of a blood circulation network which is a generalization of the coronary model proposed by Smith, Pullan and Hunter. We prove the existence and uniqueness of the solution to the initial-boundary value problem and discuss the continuity of dependence of the solution and its derivatives on initial, boundary and forcing functions and their derivatives.

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Weihua Ruan, M. E. Clark, Meide Zhao, Anthony Curcio. 2002-10-26. A Model of Blood Flow in a Circulation Network. https://arxiv.org/abs/math/0210410

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