| Abstract: |
| In this talk we consider cell-based modelling in the framework of applications in tumor growth and initiation and in the formation of contractions associated with deep tissue injuries. The simulation framework is based on a combination of continuum-scale chemical and mechanical modelling and on particle(agent)-based modelling. Migration of cells is modelled using a system of coupled stochastic differential equations. Cell proliferation, differentiation and death are modelled as stochastic processes. We will consider simulations in R2 and in R3. The framework has a generic nature and can be applied to various processes in organ development and tissue engineering.
Since the model contains a stochastic nature, and since many input parameters are hard to obtain, Monte Carlo simulations are needed to reveal the parameter sensitivity and the correlation between the various input and output parameters. In the presentation, statistical issues will be dealt with as well. If time permits, a newly developed model for skin cancer will presented along with its statistical assessment. |
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