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Derivation of Continuum Models from An Agent-based Cancer Model: Optimization and Sensitivity Analysis

Voulgarelis, D; Velayudhan, A; Smith, F; (2017) Derivation of Continuum Models from An Agent-based Cancer Model: Optimization and Sensitivity Analysis. Current Pharmaceutical Biotechnology , 18 (15) pp. 1249-1263. 10.2174/1389201019666180329111909. Green open access

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Abstract

Background: Agent-based models provide a formidable tool for exploring complex and emergent behaviour of biological systems as well as accurate results but with the drawback of needing a lot of computational power and time for subsequent analysis. On the other hand, equation-based models can more easily be used for complex analysis in a much shorter timescale. Methods & Objective: This paper formulates an ordinary differential equations and stochastic differential equations model to capture the behaviour of an existing agent-based model of tumour cell reprogramming and applies it to optimization of possible treatment as well as dosage sensitivity analysis. Results: For certain values of the parameter space a close match between the equation-based and agent-based models is achieved. The need for division of labour between the two approaches is explored.

Type: Article
Title: Derivation of Continuum Models from An Agent-based Cancer Model: Optimization and Sensitivity Analysis
Open access status: An open access version is available from UCL Discovery
DOI: 10.2174/1389201019666180329111909
Publisher version: https://doi.org/10.2174/1389201019666180329111909
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: cancer; agent-based; ODE; ABM; SDE; optimization
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Biochemical Engineering
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/10072457
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