English

A Model of Blood Flow in a Circulation Network

Dynamical Systems 2007-05-23 v1 q-bio

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.

Cite

@article{arxiv.math/0210410,
  title  = {A Model of Blood Flow in a Circulation Network},
  author = {Weihua Ruan and M. E. Clark and Meide Zhao and Anthony Curcio},
  journal= {arXiv preprint arXiv:math/0210410},
  year   = {2007}
}
R2 v1 2026-07-22T16:48:47.095Z