Cellular and geometric control of tissue growth and mitotic instability

摘要: Abstract A mathematical model is presented for the control of growth by a diffusible mitotic inhibitor. The stability examined as function values parameters describing production, transport and decay inhibitor, also geometry growing tissue. Comparisons are made between patterns mitosis in experimentally observed tissue culture experiments (Folkman & Hochberg, 1973). It shown that cellular which closely reproduce three-dimensional sphere, lead to self-limiting three dimensions but limitless two dimensions. This observation, can depend on agreement with earlier results from Folkman Hochberg (1973). Experimental approaches be used study relative effects vascularization, nutrition, inhibition normal cancerous suggested.