Cancers figure among the most important causes of morbidity and mortality worldwide.
Cancer and its associated infections are always complicated even when specific cancer …

Aims: The objective of this study was to assess in vitro, whether heat‐killed (HK) lactic acid
bacteria cells and fractionations of HK cells could suppress the viability of human cancer …

Introduction to Mathematical Oncology presents biologically well-motivated and
mathematically tractable models that facilitate both a deep understanding of cancer biology …

In this paper we present an overview of the work undertaken to model a population of cells
and the effects of cancer therapy. We began with a theoretical one compartment size …

Purpose The standard of care for treating patients with pancreatic adenocarcinomas
includes gemcitabine (2′, 2′-difluorodeoxycytidine). Gemcitabine primarily elicits its …

Patients with estrogen receptor-positive (ER+) breast cancers are often treated with
aromatase inhibitors or by anti-estrogens such as tamoxifen to prevent disease recurrence …

We consider a size-structured model for cell division and address the question of
determining the division (birth) rate from the measured stable size distribution of the …

A model for cells structured by size undergoing growth and division leads to an initial
boundary value problem that involves a first-order linear partial differential equation with a …

Combinations of gemcitabine and trabectedin exert modest synergistic cytotoxic effects on
two pancreatic cancer cell lines. Here, systems pharmacodynamic (PD) models that …

In this paper, the pantograph delay differential equation y′(t)= ay (t)+ byct subject to the
condition y (0)= λ is reanalyzed for the real constants a, b, and c. In the literature, it has been …