Systems Biology and Pharmacokinetics-Pharmacodynamics
Attracting slow manifolds in pharmacokinetics-pharmacodynamics (PK/PD) models can simplify the system dynamics and so lead to a better understanding of the interactions of drugs and targets. We study their role in target-mediated drug disposition models and Michaelis-Menten approximations.
In systems biology, we build dynamic models of the switch to dormancy in Mycobacterium tuberculosis, the bacterium that causes tuberculosis in humans, and investigate the roles of stochasticity and discreteness in two-component signalling systems. We use a variety of methods including an equation-free approach to examining bifurcations in stochastic systems. The work was funded by a Leverhulme Trust Research Fellowship.
