Biomathematics
- Professors:
- Della Croce Lucia
- Year:
- 2015/2016
- Course code:
- 500703
- ECTS:
- 6
- SSD:
- MAT/08
- DM:
- 270/04
- Lessons:
- 48
- Period:
- I semester
- Language:
- Italian
Objectives
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.
Teaching methods
Lectures
Examination
Oral examination
Prerequisites
The basic knowledge of Numerical Analysis and in particular the algorithms solving differential problems.
Syllabus
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.
- 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.
Bibliography
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
- 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
Dipartimento di Matematica ''F. Casorati''
Università degli Studi di Pavia -
Via Ferrata, 5 - 27100 Pavia
Tel +39.0382.985600 - Fax +39.0382.985602