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

[ Vol. 18 , Issue. 15 ]


Dimitrios Voulgarelis*, Ajoy Velayudhan and Frank Smith   Pages 1249 - 1263 ( 15 )


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.


Cancer, agent-based, ODE, ABM, SDE, optimization.


Department of Mathematics, Gower Street, London, WC1E 6BT, Department of Biochemical Engineering, Bernard Katz Building, Gordon Street, London WC1H OAH, Department of Mathematics, Gower Street, London, WC1E 6BT

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