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 …

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 …

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 …

Cell proliferation is controlled by many complex regulatory networks. Ourpurpose is to
analyse, through mathematical modeling, the effects of growth factors on the dynamics of the …

A new continuous spatially-distributed model of solid tumor growth and progression is
presented. The model explicitly accounts for mutations/epimutations of tumor cells which …

Herewith we discuss a network model of the epithelial–mesenchymal transition (EMT) based
on our previous proposed framework. The EMT appears as a “first order” phase transition …

We consider cancer chemotherapy as an optimal control problem with the aim to minimize a
combination of the tumor volume and side effects over an a priori specified therapy horizon …

This review aims at presenting a synoptic, if not exhaustive, point of view on some of the
problems encountered by biologists and physicians who deal with natural cell proliferation …

Most mammalian tissues are organized into a hierarchical structure of stem, progenitor, and
differentiated cells. Tumors exhibit similar hierarchy, even if it is abnormal in comparison …

The processes underpinning solid tumour growth involve the interactions between various
healthy and tumour tissue components and the vasculature, and can be affected in different …