Homeorhesis is a necessary feature of any living system. If a system does not perform
homeorhesis, it is nonliving. The present work develops the sufficient conditions for the ODE …

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 …

Oncogenic hyperplasia is the first and inevitable stage of formation of a (solid) tumor. This
stage is also the core of many other proliferative diseases. The present work proposes the …

In this article we provide homotopy solutions of a cancer nonlinear model describing the
dynamics of tumor cells in interaction with healthy and effector immune cells. We apply a …

Hematologic disorders such as the myelodysplastic syndromes (MDS) are discussed. The
lingering controversies related to various diseases are highlighted. A simple …

Volterra's model for population growth in a closed system consists in an integral term to
indicate accumulated toxicity besides the usual terms of the logistic equation. Scudo in 1971 …

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 …

In this paper, we investigated a system of non-linear differential equations of SEIR model.
For many diseases, individuals who are infected do not immediately become infectious …

A hyperbolic reaction–diffusion model is developed in the framework of Extended
Thermodynamics in order to describe the spatio-temporal dynamics of populations afflicted …

Cancer is a serious threat to human health and life. Using anti-tumor drugs is one of the
important ways for treating cancer. A large number of experiments have shown that the …