MULTISCALE ANALYSIS FOR THE BIO-HEAT TRANSFER EQUATION — THE NONISOLATED CASE
Reinhard Hochmuth, Peter Deuflhard · Mathematical Models and Methods in Applied Sciences · 2004
The bio-heat transfer equation is a macroscopic model for describing the heat transfer in microvascular tissue. In Ref. 8 the authors applied homogenization techniques to derive the bio-heat transfer equation as asymptotic result of boundary value problems which provide a microscopic description for microvascular tissue. Here those results are generalized to a geometrical setting where the regions of blood are allowed to be connected, which covers more biologically relevant geometries. Moreover, asymptotic corrector results are derived under weaker assumptions.