Mathematical Modelling and Simulation of Biological Systems in Renal Transplantation and Renal Disease

DR DOUGLAS R MCLEAN

Centre for Mathematical and Computational Science in Medicine,
University of Glasgow, G12 8QQ, Scotland




DISCUSSION BOARD




SUMMARY

Here, I discuss two different approaches to mathematical modelling in renal research. Part I discusses the development of a discrete event simulation along with some results related to the outcome, in terms of patient numbers, associated with cardiovascular risk. The model is based on a retrospective study of renal graft patients attending treatment at the Western Infirmary Renal Unit in Glasgow, Scotland. Part II discusses mathematical models of progressive renal disease. To date, the literature on such models is scarce. However, one such model exists, developed using the theory of dynamical systems, and this is discussed and compared with my own model, which I have recently developed.