B. Y. Datsko

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We study a fractional reaction-diffusion system with two types of variables: acti-vator and inhibitor. The interactions between components are modeled by cubical nonlinearity. Linearization of the system around the homogeneous state provides information about the stability of the solutions which is quite different from linear stability analysis of the(More)
The linear stability analysis is studied for a two-component fractional reaction-diffusion system with different derivative indices. Two different cases are considered when an activator index is larger than an inhibitor one and when an inhibitor variable index is larger than an activator one. General analysis is confirmed by computer simulation of the(More)
We analyse necrosis growth due to thermal coagulation induced by laser light absorption and limited by heat diffusion into the surrounding live tissue. The tissue is assumed to contain a tumour in the undamaged tissue where the blood perfusion rate does not change during the action. By contrast, normal tissue responds strongly to an increase in the tissue(More)
We analyze the effect of blood flow through large arteries of peripheral circulation on heat transfer in living tissue. Blood flow in such arteries gives rise to fast heat propagation over large scales, which is described in terms of heat superdiffusion. The corresponding bioheat heat equation is derived. In particular, we show that under local strong(More)
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