Background This paper presents a mathematical model that simulates a radiotherapy cancer
treatment process. The model takes into consideration two important radiobiological factors …

Background This paper presents a numerical simulation of normal and cancer cells'
population dynamics during radiotherapy. The model used for the simulation was the …

Social influence poses great challenges to human behavior. The increasing prevalence of
diabetics is due to the diabetes incidence that keeps on elevated every year. In this work, we …

Diabetes, also known as diabetes mellitus, is a chronic degenerative disease with a variety
of adverse complications. Due to its slow progression, a mathematical model of the diabetic …

There exists an extensive literature on differential equation models of diabetic population. In
this paper, we developed a five-compartmental model of diabetes population dynamics …

Despite recent advances in the mathematical modeling of biological processes and real-
world situations raised in the day-to-day life phase, some phenomena such as immune cell …

In irradiation process, instead of traverse on the targeted cells, there is side effect happens
to non-targeted cells. The targeted cells that had been irradiated with ionizing radiation …

Free radical carries an unpaired electron in the outer shell which is very reactive and
becomes toxic to DNA. The direct action hits cell directly, while indirect action is the …

The mathematical modeling framework is often developed by considering the understanding
of the biological phenomenon, intuition and assumptions. There must be several parameters …

Mathematical models appear in many forms, such as instantaneous dynamics (ordinary
differential equations) or time-lags dynamics (delay differential equations). It is important to …