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APPLICATIONS OF MATHEMATICAL MODELLING IN ONCOLYTIC VIROTHERAPY AND IMMUNOTHERAPY

Part of: Mathematical biology in general Biology and other natural sciences Applications - Dynamical systems and ergodic theory

Published online by Cambridge University Press:  16 March 2020

ADRIANNE L. JENNER Open the ORCID record for ADRIANNE L. JENNER [Opens in a new window]
ADRIANNE L. JENNER*
Affiliation:
Department of Mathematics and Statistics,Université de Montréal, Montréal H3T 1J4, Canada email [email protected]
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Abstract

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Keywords

mathematical biologyoncolytic virotherapyimmunotherapyordinary differential equationsdynamical systemsbifurcationoptimisation

MSC classification

Primary: 92B05: General biology and biomathematics
Secondary: 37N25: Dynamical systems in biology 92-08: Computational methods
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 101 , Issue 3 , June 2020 , pp. 522 - 524
Copyright
© 2020 Australian Mathematical Publishing Association Inc.

Footnotes

Thesis submitted to the University of Sydney in June 2019; degree approved on 2 October 2019; supervisors Peter Kim and Adelle Coster and auxiliary supervisor Federico Frascoli.

References

Jenner, A. L., Coster, A. C. F., Kim, P. S. and Federico, F., ‘Treating cancerous cells with viruses: insights from a minimal model for oncolytic virotherapy’, Lett. Biomath. 5(Suppl. 1) (2018), S117–S136.10.1080/23737867.2018.1440977CrossRefGoogle Scholar
Jenner, A. L., Frascoli, F., Coster, A. C. and Kim, P. S., ‘Enhancing oncolytic virotherapy: observations from a Voronoi cell-based model’, J. Theoret. Biol. 485 (2020), Article ID 110052.Google ScholarPubMed
Jenner, A. L., Kim, P. S. and Frascoli, F., ‘Oncolytic virotherapy for tumours following a Gompertz growth law’, J. Theoret. Biol. 480 (2019), 129–140.10.1016/j.jtbi.2019.08.002CrossRefGoogle ScholarPubMed
Jenner, A. L., Yun, C. O., Kim, P. S. and Coster, A. C. F., ‘Mathematical modelling of the interaction between cancer cells and an oncolytic virus: insights into the effects of treatment protocols’, Bull. Math. Biol. 80 (2018), 1615–1629.CrossRefGoogle Scholar
Jenner, A. L., Yun, C. O., Yoon, A., Coster, A. C. and Kim, P. S., ‘Modelling combined virotherapy and immunotherapy: strengthening the antitumour immune response mediated by IL-12 and GM-CSF expression’, Lett. Biomath. 5 (2018), S99–S116.CrossRefGoogle Scholar
Jenner, A., Yun, C. O., Yoon, A., Kim, P. S. and Coster, A. C., ‘Modelling heterogeneity in viral–tumour dynamics: the effects of gene-attenuation on viral characteristics’, J. Theoret. Biol. 454 (2018), 41–52.CrossRefGoogle ScholarPubMed