Studying at the University of Verona
Here you can find information on the organisational aspects of the Programme, lecture timetables, learning activities and useful contact details for your time at the University, from enrolment to graduation.
Study Plan
This information is intended exclusively for students already enrolled in this course.If you are a new student interested in enrolling, you can find information about the course of study on the course page:
Laurea in Matematica applicata - Enrollment from 2025/2026The Study Plan includes all modules, teaching and learning activities that each student will need to undertake during their time at the University.
Please select your Study Plan based on your enrollment year.
1° Year
| Modules | Credits | TAF | SSD |
|---|
2° Year activated in the A.Y. 2016/2017
| Modules | Credits | TAF | SSD |
|---|
One course to be chosen among the following3° Year activated in the A.Y. 2017/2018
| Modules | Credits | TAF | SSD |
|---|
One/two courses to be chosen among the following| Modules | Credits | TAF | SSD |
|---|
| Modules | Credits | TAF | SSD |
|---|
One course to be chosen among the following| Modules | Credits | TAF | SSD |
|---|
One/two courses to be chosen among the following| Modules | Credits | TAF | SSD |
|---|
Legend | Type of training activity (TTA)
TAF (Type of Educational Activity) All courses and activities are classified into different types of educational activities, indicated by a letter.
Mathematical models in biology (2016/2017)
Teaching code
4S00256
Academic staff
Coordinator
Credits
6
Language
Italian
Scientific Disciplinary Sector (SSD)
MAT/05 - MATHEMATICAL ANALYSIS
Period
II sem. dal Mar 1, 2017 al Jun 9, 2017.
Learning outcomes
This course is an introduction to the most common mathematical models in biology and biomedicine. At the end of the course the students should be able to:
- understand and critically discuss basic models of biological systems, with particular emphasis to the validity of assumptions and of model parameters;
- model simple phenomena, analyze them (numerically and/or analytically), and understand the effect of parameters;
- compare the predictions given by the models with experimental data;
- communicate results in interdisciplinary teams
Program
Part A - dott. Simone Zuccher
Different mathematical models in biology will be presented. They are divided into discrete and continuous ones each of which can be further divided into scalar or vectorial. Theoretical results will be recalled (not proved because already known from previous courses in Mathematical Analysis and Dynamical Systems) and then applied to the study of the different models.
- The discrete, scalar case. Malthusian growth and quadratic logistic model. Discussion of bifurcation depending on a parameter, p-cycle and its stability, bifurcation diagram, route to chaos.
- The discrete, vectorial case. Two-species discrete models: host-parasite, prey-predator and inter-action between species.
- The continuous scalar case. Growth of bacteria (continuous logistic map), exact solution. Qualitative study of ordinary differential equations.
- The linear planar case. The T-D plane, examples.
- The non-linear continuous planar case. The spread of disease model, the Lotka-Volterra model.
Course notes are available at http://profs.sci.univr.it/~zuccher/teaching/
Part B - dott. Roberto Chignola
- probabilistic models for biomedicine
- the Luria and Delbrück experiment
- growth models for population biology
- allometry and scaling laws
- phenomenological models for tumor growth
- models for cell physiology
- multi-scale models in oncology
Course notes are available at: http://profs.sci.univr.it/~chignola/teaching.html
Examination Methods
Part A: The exams is an oral interview. Students will be asked to discuss the contents presented during the course Part A and to provide the solution in Matlab/Octave to the exercises assigned during the course.
Part B: Oral evaluation. The students will have to prepare and critically discuss a short essay.
