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Biomathematics Euro Summer School on "Dynamical Models for Medicine and Physiology", Urbino, July 2002.


Dynamical systems constitute a fundamental mathematical and computational framework within which many processes in biomedicine can be described. From tumor growth to hormonal regulation, from the spread of disease to neuronal transmission, the crucial feature of many biological and natural phenomena is their evolution in time. Differential equations are the historically established mathematical tool for the study of dynamical systems; within these, differential equations with delay have recenty emerged as a field rich in applicative possibilities and interesting structural behaviour. Computationaly intensive techniques have also enjoyed in recent years, increasing recognition, in the wake of the more widespread availability of cheap computing power. The possibility of numerically computing solutions for classically posed (but analytically intractable) differential models has made it possible to identify their parameters from observational and experimental data, providing the medical practitioners with estimates of the quantities most directly useful to them (like the transfer rates of substances between different body compartments).

This evolution has even prompted the re-framing of some medical problems in terms of the results of specific model fits to standardised experimental data. With steeply increasing medical care costs, advancing diagnostic technology and heightened expectations from the community, mathematical modellers will find more and more occasions to work in the medical field. The biomathematics looking for exposure to medical problems and to young biologists and physicians intending or employ mathematical tools in their research; it intends to focus on the interpay between delay differential equations, computer-intensive methods and parameter estimation in the practical modelling of dynamical systems in medicine and physiology. Programme, location and timing have been chosen so as to encourage participation of the young European scientists also attending the 2002 triennial Conference of the European Society for Mathematical and Theoretical Biology in Milan, Italy (July 2.7 2002, HLSC proposal ECMTB2002).

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Type of Event: Euro Summer School
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This event takes place in Urbino


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