A mathematical model that combines chemotherapy and oncolytic virotherapy as an alternative treatment against a glioma

Urenda-Cázares, E.; Gallegos, A.; Macías‐Díaz, Jorge E.

doi:10.1007/s10910-019-01084-3

Cited by 8 publications

(1 citation statement)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Chemotherapy can reduce τ , thereby moving θ into the Hopf region to gain tumor control. Combinations of oncolytic virotherapy and chemotherapy were studied in [85; 14; 63].…”

Section: Discussionmentioning

confidence: 99%

Oscillations in a Spatial Oncolytic Virus Model

Baabdulla,

Hillen

2023

Preprint

View full text Add to dashboard Cite

Virotherapy treatment is a new and promising target therapy that selectively attacks cancer cells without harming normal cells. Mathematical models of oncolytic viruses have shown predator-prey like oscillatory patterns as result of an underlying Hopf bifurcation. In a spatial context, these oscillations can lead to different spatio-temporal phenomena such as hollow-ring patterns, target patterns, and dispersed patterns. In this paper we continue the systematic analysis of these spatial oscillations and discuss their relevance in the clinical context. We consider a bifurcation analysis of a spatially explicit reaction-diffusion model to find the above mentioned spatio-temporal virus infection patterns. The desired pattern for tumor eradication is the hollow ring pattern and we find exact conditions for its occurrence. Moreover, we derive the minimal speed of travelling invasion waves for the cancer and for the oncolytic virus. Our numerical simulations in 2-D reveal complex spatial interactions of the virus infection and a new phenomenon of a periodic peak splitting. An effect that we cannot explain with our current methods.

show abstract

“…Chemotherapy can reduce τ , thereby moving θ into the Hopf region to gain tumor control. Combinations of oncolytic virotherapy and chemotherapy were studied in [85; 14; 63].…”

Section: Discussionmentioning

confidence: 99%