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 …

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 …

The complex nature of involved biomechanical/thermal phenomena, clearly highlights the
necessity of a comprehensive numerical modeling of the treatment process. The present …

Abstract Treatment of breast cancer (positive for HER2, ie, ERBB2) is described by a
mathematical model involving non-linear ordinary differential equations with a hidden …

The HYP‐RT model simulates hypoxic tumour growth for head and neck cancer as well as
radiotherapy and the effects of accelerated repopulation and reoxygenation. This report …

Cancer is often characterized as a chaotic, poorly regulated growth. Cancer can be viewed
as a complex adaptive system. Complex adaptive systems can be described mathematically …

Mathematical and computational models are of great help to study and predict phenomena
associated with cancer growth and development. These models may lead to introduce new …

Tumors result from genetic mutations or environmental factors that prompt cells to divide
uncontrollably. This study aims to examine the behavior of tumor-immune cell growth in the …

In the paper we propose a new methodology in modeling of antiangiogenic treatment on the
basis of well recognized model formulated by Hahnfeldt et al. in 1999. On the basis of the …