Development of a macro-scale model from a meso-scale model for cell culture population dynamics

M. Gokhan Habiboglu and Yagmur Denizhan

Mathematical and Computer Modelling of Dynamical Systems, 2015, vol. 21, issue 3, 228-250

Abstract: In this paper, we present a novel macro-scale analytical model that allows the prediction of how the population size will change in a cell culture starting from an arbitrary initial value. General biological knowledge and some empirical observations are used to design an agent-based discrete-time model at the meso-scale, which then serves as a simulation environment and provides the necessary insights for the development of the continuous-time, differential equation-based, compact macro-scale model. This model can be parameter-tuned and employed for predicting how the population size changes. The paper gives a procedure for the estimation of parameter values of the macro-scale model via some simple tests to be conducted on the cell culture at hand. The performance of the macro-scale model is validated via simulation results that show how well the macro-scale model captures the population dynamics as obtained from the meso-scale model, while the biological plausibility of the meso-scale model is taken for granted.

Date: 2015
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DOI: 10.1080/13873954.2014.929151

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