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Biological systems, in contrast to physical systems, exhibit a high level of complexity. Attempting to replicate their dynamics through mathematical models (system of differential equations) turns out to be quite challenging. However, success in this turns out to be very beneficial, for e.g., understanding tumour development and in devising efficient treatment methods.
Efficient modelling of complex biological processes often results in a system of partial differential equations with nonlocal operators and stochastic elements. Finding explicit solution of these systems is not possible in most instances. This, in turn, necessitates rigorous mathematical analysis to provide well-posedness of the model and to understand its solution behaviour.
The focus of the project is on the mathematical analysis of systems of partial differential equations which arise in modelling complex processes and will contribute to the better understanding of some biological processes.
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