# Biomathematics (MAE546A)

### General

School School of Science Department of Mathematics Undergraduate ΜΑΕ546A 5 Biomathematics Lectures (Weekly Teaching Hours: 3, Credits: 6) Special Background - Greek Yes (in English) See eCourse, the Learning Management System maintained by the University of Ioannina.

### Learning Outcomes

Learning outcomes This course is an introduction to the basic concepts of Biomathematics. Upon successful completion of the course, the student will be able to: apply basic concepts of biomathematics understand and apply advanced analytical and approximate techniques to biomathematics problems critically analyze and compare the effectiveness of methods and deepen their further understanding combine advanced techniques to solve new problems in biomathematics The course aims to enable the student to analyze and synthesize basic knowledge of Biomathematics and Applied Mathematics. Search for, analysis and synthesis of data and information, with the use of the necessary technology Adaptation to new situations Autonomous work Decision making Work in an interdisciplinary environment

### Syllabus

• Short introduction of Algebra, Analysis and Differential Equations
• Differential equations of biofluids motion
• Applications of mathematical modeling of biofluids in the human body and in the arterial system
• Analytical and numerical techniques for solving the differential equations describing biofluids flows
• Algbraic statistics for Computational Biology: Algebraic varieties and Groebner bases, Toric ideals and varieties, Linear and toric models
• Markov bases, Markov bases for hierarchical models, Contigency tables, Phylogenetic Models.

### Teaching and Learning Methods - Evaluation

Delivery

In class

Use of Information and Communications Technology
• Provision of study material through the ecourse
• Communication with students through e-mails, and the ecourse and MS Teams platforms
Teaching Methods
Lectures 39
Study of theory 78
Home exercises 33
Course total 150
Student Performance Evaluation
• Weekly assignments
• Final project
• Written examination at the end of the semester

### Attached Bibliography

See the official Eudoxus site or the local repository of Eudoxus lists per academic year, which is maintained by the Department of Mathematics. Books and other resources, not provided by Eudoxus:

• Algebraic Statistics for Computational Biology, L. Pachter, B. Sturmfels, 2005, Editor: Cambridge University Press
• Cardiovascular Mathematics, Modeling and simulation of the circulatory system, Formaggia L., Quarteroni A., Veneziani A., 2009, Editor: Springer