Mathematical Modelling of Oncolytic Virotherapy with Mediated Immunity

Abstract

The current theoretical exploration takes up the topic of oncolytic tumour virotherapy through the use of suitable mathematical model. The prime objective is to devise an advanced mathematical framework for an in-depth study of the complex interplay among assorted components involved in tumour virotherapy. The network of interactions enfolds the normal cells, tumour cells, oncolytic viruses together with the resulting immune responses including both the innate and the adaptive immune reactions in its rotection. Of these two immune reactions, the adaptive one subsumes both virus-specific and tumour specific immune responses in the model under consideration. The mathematical model system thus assembled is analysed in the perception of both local and global stability of equilibria under specified circumstances with the inclusion of the system boundedness. A quantitative analysis based on numerical simulation is carried out by solving the system numerically in order to validate the analytical results with numerical consequences and thereby the applicability of the model under study is established. Moreover, parametric variation is portrayed with the help of several graphical representations to understand the influence of model parameters of significance together with the complexity of the system critically. Furthermore, stability analysis is complemented well with graphical embodiments.