English

A ptototype compartmental model of blood pressure distribution

Tissues and Organs 2007-12-27 v1

Abstract

We consider a system of differential equations the behavior of which solutions possesses several properties characteristic of the blood pressure distribution. The system can be used for a compartmental modeling of the cardiovascular system. It admits a unique bounded solution such that all coordinates of the solution are separated from zero by positive numbers, and which is periodic, eventually periodic or almost periodic depending on the moments of heart contraction. Appropriate numerical simulations are provided.

Keywords

Cite

@article{arxiv.0712.4001,
  title  = {A ptototype compartmental model of blood pressure distribution},
  author = {M. U. Akhmet and G. A. Bekmukhambetova},
  journal= {arXiv preprint arXiv:0712.4001},
  year   = {2007}
}

Comments

23 pages, 2 figures

R2 v1 2026-06-21T09:57:22.351Z