Modeling the pressure distribution in a spatially averaged cerebral capillary network

Abstract

<p style='text-indent:20px;'>A boundary value problem for the Poisson's equation with unknown intensities of sources is studied in context of mathematical modeling the pressure distribution in cerebral capillary networks. The problem is formulated as an inverse problem with finite-dimensional overdetermination. The unique solvability of the problem is proven. A numerical algorithm is proposed and implemented.</p>