4 papers
Mathematical description of the heat transfer in living tissue (Part II)
I. A. Lubashevsky, V. V. Gafiychuk
In the present monograph we formulate a simple model for heat transfer in living tissue with self - regulation. The initial point of the model is the governing equations describing…
Mathematical description of the heat transfer in living tissue (Part I)
I. A. Lubashevsky, V. V. Gafiychuk
In the present monograph we formulate a simple model for heat transfer in living tissue with self - regulation. The initial point of the model is the governing equations describing…
Analysis of the optimality principles responsible for vascular network architectonics
I. A. Lubashevsky, V. V. Gafiychuk
The equivalence of two optimality principles leading to Murray's law has been discussed. The first approach is based on minimization of biological work needed for maintaining the b…
Nonlinear theory of autooscillations of quasiplanar interface during directional solidification
I. A. Lubshevsky, V. V. Gafiychuk, M. G. Keijan
Within the framework of the frozen temperature approximation we develop a strongly-nonlinear theory of one-dimensional pattern formation during directional solidification of binary…