Eligibility
Any UK/EU mathematics graduate with interests in differential equations and bio-mathematical modelling.
Any UK/EU mathematics graduate with interests in differential equations and bio-mathematical modelling.
Modelling silicosis involves understanding the ingestion of dust particles, their absorption by macrophages in the lungs and the clearance of the macrophages by the muco-ciliary escalator and their death which results in release of dust particles in the lungs. In the project, the student will derive physically realistic models of macrophage and dust particle dynamics, prove existence of solutions using semigroup theory methods and will consider long-term asymptotic behaviour of solutions.
Please email Dr M. Grinfeld if you would like to apply for this opportunity.