Derivation of Repair and Mis-Repair DNA Double-Strand Breaks (DSBs) Model: A Case with Two Simultaneously DSBs Repair Condition

Abstract

“A double-edged sword-like of ionizing radiationâ€, a common phrase used to describe the effect of irradiation to human cells. Our aim in this article is to study the dynamics of double-strand breaks (DSBs) damage on deoxyribonucleic acids (DNA) following irradiation. In particular, we derived a structured cell population model of DNA with respect to DSBs count and mis-repair DSBs, specifically in the present of two simultaneously DSBs repair. We also derived the characteristic of exact solution, which follows a Homologous-Cauchy condition of initial value problem. These results may give insights on modelling strategies of DNA response to irradiation.