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—The work deals with nonstationary invariant probability distributions of diffusion stochastic processes (DSPs). Few results on this topic are available, such as theoretical works of Il'in and Has'minskiı ˘ and a recent more practical contribution of Mamontov and Willander. This is in a disproportion to an importance of nonstationary invariant DSPs which… (More)

Many features of living systems prevent the application of fundamental statistical mechanics (FSM) to study such systems. The present work focuses on some of these features. After discussing all the basic approaches of FSM, the work formulates an extension of the kinetic theory paradigm (based on the reduced one-particle distribution function) that exhibits… (More)

A few previous works of the authors derived and discussed the space-time mathematical description, the PhasTraM model, for oncogenic hyperplasia regarded as a genotoxically activated homeorhetic dysfunction. The model is based on the fluid-to-solid-and-back transitions and nonlinear reaction-diffusion equation relevant to a series of the key biomedical… (More)

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