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Title: Modelling biochemical engineering processes related to cell populations
Author: Voulgarelis, Dimitrios
ISNI:       0000 0004 7964 932X
Awarding Body: UCL (University College London)
Current Institution: University College London (University of London)
Date of Award: 2019
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My research concerns mathematical modelling of biochemical processes that involve cell populations. During my first project we formulated an ODE and SDE model to capture the behaviour of an existing agent-based model of tumour cell reprogramming, a novel theory about cancer being exposed to factors found during embryonic development, and applied it to optimization of possible treatment as well as dosage sensitivity analysis. For certain values of the parameter space a close match between the equation-based and agent-based models is achieved. The need for division of labour between the two approaches is explored. For our second project two SDEs of two microbial populations in a chemostat competing over a single substrate were developed with two types of noise and nonlinear growth term. We focused on the parameter values where coexistence is present deterministically. A large parameter in the nondimensionalised equations is used to perform an asymptotic analysis leading to a reduced 2D system of equations describing the dynamics of the populations on and close to a line of steady states and allows the formulation of a spatially 2D Fokker-Planck equation that acts as a crosscheck to the simulations of the SDEs. Contrary to previous suggestions, one particular population survives at large times. Our third and final project concerns the extension of chemostat competition in a more complicated equations setting were integrodifferential equations are used instead of ODEs. We use these equations to explore a novel scenario where two populations compete for a single substrate but one of them has an adaptive response mechanism based on changing its division pattern. Depending on whether delay is included or not in the adaptive response we find two different types of steady states, one oscillatory and one non-oscillatory, explore their stability and finally investigate the source of oscillations in the biomass for the former.
Supervisor: Smith, F. ; Velayudhan, A. Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available