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Malinzi2018 - Enhancement of chemotherapy using oncolytic virotherapy

ABSTRACT: IA spatio-temporal mathematical model, in the form of a moving boundary problem, to explain cancer dormancy is developed. Analysis of the model is carried out for both temporal and spatio-temporal cases. Stability analysis and numerical simulations of the temporal model replicate experimental observations of immune-induced tu- mour dormancy. Travelling wave solutions of the spatio-temporal model are determined using the hyperbolic tangent method and minimum wave speeds of invasion are calculated. Travelling wave analysis depicts that cell invasion dynamics are mainly driven by their motion and growth rates. A stability analysis of the spatio-tem- poral model shows a possibility of dynamical stabilization of the tumour-free steady state. Simulation results reveal that the tumour swells to a dormant level. Model is encoded by Jinghao Man and submitted to BioModels by Krishna Tiwari.

SUBMITTER: Krishna Kumar Tiwari  

PROVIDER: MODEL2003050002 | BioModels | 2025-01-15

REPOSITORIES: BioModels

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Enhancement of chemotherapy using oncolytic virotherapy: Mathematical and optimal control analysis.

Malinzi Joseph J   Ouifki Rachid R   Eladdadi Amina A   Torres Delfim F M DFM   White Jane K A JKA  

Mathematical biosciences and engineering : MBE 20181201 6

Oncolytic virotherapy has been emerging as a promising novel cancer treatment which may be further combined with the existing therapeutic modalities to enhance their effects. To investigate how virotherapy could enhance chemotherapy, we propose an ODE based mathematical model describing the interactions between tumour cells, the immune response, and a treatment combination with chemotherapy and oncolytic viruses. Stability analysis of the model with constant chemotherapy treatment rates shows th  ...[more]

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