Computational Modelling of Cancer Development and Growth: Modelling at Multiple Scales and Multiscale Modelling
Authored by Mark A J Chaplain, Zuzanna Szymanska, Maciej Cytowski, Elaine Mitchell, Cicely K Macnamara
Date Published: 2018
DOI: 10.1007/s11538-017-0292-3
Sponsors:
National Science Centre of Poland
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Abstract
In this paper, we present two mathematical models related to different
aspects and scales of cancer growth. The first model is a stochastic
spatiotemporal model of both a synthetic gene regulatory network (the
example of a three-gene repressilator is given) and an actual gene
regulatory network, the NF-B pathway. The second model is a force-based
individual-based model of the development of a solid avascular tumour
with specific application to tumour cords, i.e. a mass of cancer cells
growing around a central blood vessel. In each case, we compare our
computational simulation results with experimental data. In the final
discussion section, we outline how to take the work forward through the
development of a multiscale model focussed at the cell level. This would
incorporate key intracellular signalling pathways associated with cancer
within each cell (e.g. p53-Mdm2, NF-B) and through the use of
high-performance computing be capable of simulating up to cells, i.e.
the tissue scale. In this way, mathematical models at multiple scales
would be combined to formulate a multiscale computational model.
Tags
Individual-based model
In-vitro
Tumor-induced angiogenesis
Chemical-reactions
Active-transport
Regulatory networks
Tumor spheroids
Computational simulations
Multiscale cancer modelling
Gene regulatory network
Spatial stochastic
model
Intracellular protein dynamics
Synthetic genetic oscillators
Time delays
Negative feedback
Hes1
Genetic-control
Time
delays
Oscillatory expression
Parallel simulations