The aim of the course is to exemplify, through the construction and
the analysis of various mathematical models relating to different fields of biology
and medicine, the potential of interdisciplinary collaborations on the basis of a common language.

Lectures

Oral examination

The basic knowledge of Numerical Analysis and in particular the algorithms solving differential problems.

Will introduce the basics of constructing a mathematical model and several examples will be presented. We shall dwell 'also on the procedure for identification and validation of a mathematical model.



Mathematical model: basics, examples of mathematical models;

- Non-linear models, stability of dynamical systems, bifurcations;

- Mathematical models with delay, analysis of stability ';

- Compartmental modeling;

- Discrete mathematical models;

- Mathematical physiology: muscle contraction, glucose-insulin dynamics,

nerve transmission;

- Mathematical ecology;

- Optimization algorithms: algorithms, ACO, PSO, genetic;

- Computational biology: neural networks, DNA-computers,protein folding, sequence analysis.

V. Comincioli, Biomatematica Interazioni tra le Scienze della Vita e la Matematica (http://www.apogeonline.com/libri/88-503-1033-1/scheda)



- V. Comincioli, Modelli matematici. Elementi introduttivi, Universita degli Studi di Pavia, 2004 (http://www.multimediacampus.it/download/biomatematica2.pdf)



- J. D. Murray, Mathematical Biology, Second Edition, Springer-Verlag, Berlin 1993