MATHEMATICAL MODEL OF A BLOOD VESSEL IN CASE OF LOSS OF INTEGRITY OF ITS WALL.

A mathematical model of a blood vessel in case of the wall integrity loss was developed in the paper. It was based on the electrical analogy of blood circulation through vessels and current flow within a circuit unit. In general, the basis of the developed model is the model of a human blood circulatory system in the form of an inhomogeneous long line matched with distributed constants. The constructed mathematical model allows solving urgent problems of investigating the process of blood circulation through vessels in case of the wall integrity loss and determining the location, the conditional diameter of the wall hole and the influence of the loss of the vessel wall integrity on the pulse wave shape and blood pressure. The process of blood circulation in the femoral artery under normal blood circulation and taking into account the occurred loss of the vessel wall integrity was studied in the paper. [ABSTRACT FROM AUTHOR]