Treating cancerous cells with a continuous release of virus particles

Authors

DOI:

https://doi.org/10.21914/anziamj.v63.17108

Abstract

We investigate a model for the treatment of a tumour through the application of a virus. In the original model it was assumed that the virus particles are released only at one time. Such a treatment strategy cannot eliminate a tumour, as the tumour-free steady-state solution is unstable except for pathological circumstances in which the tumour does not grow and/or the virus does not die. We extend the model by allowing the tumour to be treated by a continuous release of virus particles. We show that the scaled delivery rate has two threshold values: below the lower threshold the system evolves to a stable periodic solution; above the higher threshold the tumour is eradicated.

References

  • C. E. Engeland, J. P. W. Heidbuechel, R. P. Araujo, and A. L. Jenner. Improving immunovirotherapies: The intersection of mathematical modelling and experiments. ImmunoInformatics 6 (2022), p. 100011. doi: 10.1016/j.immuno.2022.100011
  • A. L. Jenner, A. C. F. Coster, P. S. Kim, and F. Frascoli. Treating cancerous cells with viruses. Lett. Biomath. 5.2 (2018), S117–S136. doi: 10.1080/23737867.2018.1440977
  • A. L. Jenner, F. Frascoli, C.-O. Yun, and P. S. Kim. Optimising hydrogel release profiles for viro-immunotherapy using oncolytic adenovirus expressing IL-12 and GM-CSF with immature dendritic cells. Appl. Sci. 10.8 (2020). doi: 10.3390/app10082872
  • J. P. Tian. The replicability of oncolytic virus: Defining conditions in tumor virotherapy. Math. Bio. Eng. 8.3 (2011), pp. 841–860. doi: 10.3934/mbe.2011.8.841

Published

2022-12-07

Issue

Section

Proceedings Engineering Mathematics and Applications Conference