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Mathematical modelling of phenotypic selection with solid tumours
conference contribution
posted on 2023-06-09, 18:16 authored by Mark A J Chaplain, Tommaso Lorenzi, Alexander Lorz, Chandrasekhar VenkataramanChandrasekhar VenkataramanWe present a space- and phenotype-structured model of selection dynamics between cancer cells within a solid tumour. In the framework of this model, we combine formal analyses with numerical simulations to investigate in silico the role played by the spatial distribution of oxygen and therapeutic agents in mediating phenotypic selection of cancer cells. Numerical simulations are performed on the 3D geometry of an in vivo human hepatic tumour, which was imaged using computerised tomography. Our modelling extends our previous work in the area through the inclusion of multiple therapeutic agents, one that is cytostatic, whilst the other is cytotoxic. In agreement with our previous work, the results show that spatial inhomogeneities in oxygen and therapeutic agent concentrations, which emerge spontaneously in solid tumours, can promote the creation of distinct local niches and lead to the selection of different phenotypic variants within the same tumour. A novel conclusion we infer from the simulations and analysis is that, for the same total dose, therapeutic protocols based on a combination of cytotoxic and cytostatic agents can be more effective than therapeutic protocols relying solely on cytotoxic agents in reducing the number of viable cancer cells.
History
Publication status
- Published
File Version
- Accepted version
Journal
Numerical Mathematics and Advanced Applications: Proceedings of ENUMATH 2017ISSN
1439-7358Publisher
SpringerExternal DOI
Volume
126Page range
237-245Event name
ENUMATH 2017Event location
Voss, NorwayEvent type
conferenceEvent date
25-29 September 2017ISBN
9783319964140Series
Lecture Notes in Computational Science and EngineeringDepartment affiliated with
- Mathematics Publications
Research groups affiliated with
- Mathematics Applied to Biology Research Group Publications
Full text available
- Yes
Peer reviewed?
- Yes