Nano thermo-hydrodynamics models for quantitative estimations of the cell membrane fluidity: a review

Abstract

The most relevant model of the heat transfer at the micro and nano scales is based on the Navier-Stokes equations for the incompressive liquid (water as the main components of the cells and their membranes) combined by the heat transfer equation in the Guyer-Krumhansl form. The cells are the smallest units of the live matter, and their interaction with ther cells and environment are determined by the cellular membranes. The latter possess mechanical, thermal and electric properties, which values strongly depend on the state of the cells (healthy, influenced, stresses, diseased). That is why the mathematical models of the cellular membrane and their physical properties are essential for the medical diagnostics purposes.