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
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2° Year activated in the A.Y. 2020/2021
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3° Year activated in the A.Y. 2021/2022
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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 and Statistical Methods in Biology (2021/2022)
Teaching code
4S004794
Academic staff
Coordinator
Credits
6
Language
Italian
Scientific Disciplinary Sector (SSD)
BIO/13 - EXPERIMENTAL BIOLOGY
Period
Primo semestre dal Oct 4, 2021 al Jan 28, 2022.
Learning outcomes
This course is an introduction to the most common mathematical models developed to solve biology and medicine problems. Deterministic and probabilistic models, and the main statistical approaches used to take into account the uncertainties that characterize complex biological systems will be discussed. At the end of the course students should be able to: - understand and critically discuss the main models of biological systems with particular reference to the validity of the assumptions and the definition of appropriate parameters; - develop and analyze simple models; - understand the effects of the parameters also in relation to the unavoidable uncertainty of their estimate; - compare the predictions of the models with the experimental data; - communicate the results in a multidisciplinary context
Program
The entire course will be available online. Part I (Albi) - Single specie model: Malthus, Birth-Death, Logistic growth. - Multi-species model: Predator-Prey, competition and cooperation. - Epidemiological model: SIR, SEIR and age structured - Time delay models - PDE models of reaction and diffusion. - Parameter identification for differential model - Examples and exercises in class with dedicated softwares (Matlab and/or R) Part II (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; - Biological oscillations - statistical inference - main statistical methods used in biomedicine with univariate and multivariate variables - introduction to the R environment for scientific calculus and statistics
Bibliography
Examination Methods
Part A: written exam with the help of computer, solution of exercises on the basis of the one solved during the course. Students will be required to modify the numerical codes seen in Matlab/Octave/R. Possibility of midterm examination.
Part B: Oral evaluation. Students will be required to present a short essay on a bio-mathematical topic that they will choose by searching the scientific literature. Emphasis will be given to the students' ability to analyze and critically revise the selected problem. Students will be also required to reproduce and eventually extend all the mathematical aspects using the software MatLab or R.
The assessment methods could change according to the academic rules.
The online exam is granted for all the students will require it during the academic year 2020/21.