A Model of Blood Flow in a Circulation Network
  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. 
Weihua Ruan, M.E. Clark, Meide Zhao, Anthony Curcio