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

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

Volume: 18 Issue: 15

Author(s): Dimitrios Voulgarelis*, Ajoy Velayudhan and Frank Smith

Affiliation:

• Department of Mathematics, Gower Street, London, WC1E 6BT,United Kingdom

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

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.

Cite this article as:

Voulgarelis Dimitrios *, Velayudhan Ajoy and Smith Frank, Derivation of Continuum Models from An Agent-based Cancer Model: Optimization and Sensitivity Analysis, Current Pharmaceutical Biotechnology 2017; 18 (15) . https://dx.doi.org/10.2174/1389201019666180329111909