Journal
BULLETIN OF MATHEMATICAL BIOLOGY
Volume 79, Issue 4, Pages 939-974Publisher
SPRINGER
DOI: 10.1007/s11538-017-0258-5
Keywords
Bayesian calibration; Tumour growth; Model validation
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Funding
- EPSRC [EP/K039342/1]
- European Unions [600841]
- EPSRC [EP/K039342/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/K039342/1] Funding Source: researchfish
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In this work, we present a pedagogical tumour growth example, in which we apply calibration and validation techniques to an uncertain, Gompertzian model of tumour spheroid growth. The key contribution of this article is the discussion and application of these methods (that are not commonly employed in the field of cancer modelling) in the context of a simple model, whose deterministic analogue is widely known within the community. In the course of the example, we calibrate the model against experimental data that are subject to measurement errors, and then validate the resulting uncertain model predictions. We then analyse the sensitivity of the model predictions to the underlying measurement model. Finally, we propose an elementary learning approach for tuning a threshold parameter in the validation procedure in order to maximize predictive accuracy of our validated model.
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