Plokhotnikov K E
Biofizika. 1982 Jul-Aug;27(4):689-93.
A mathematical model of tissue growth and differentiation is presented. The equation of the living tissue growth is plotted on the basis of the analogy with Lagrange approach in the description of liquid. Factors responsible for the position of the tissue in time and space are described in terms activator-inhibitor. The equation system obtained is analysed for the existence of stationary solutions, which is interpreted as a property of the tissue regeneration. The results of numerical analysis are presented.