Derivation of Continuum Models from An Agent-based Cancer Model: Optimization and Sensitivity Analysis
Authored by Dimitrios Voulgarelis, Ajoy Velayudhan, Frank Smith
Date Published: 2017
DOI: 10.2174/1389201019666180329111909
Sponsors:
United Kingdom Engineering and Physical Sciences Research Council (EPSRC)
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Model Documentation:
Other Narrative
Mathematical description
Model Code URLs:
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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.
Tags
Agent-Based
ABM
cancer
Optimization
Equations
Ode
Sde