Biomathematics (MAE546A)
Undergraduate Courses Outlines - Department of Mathematics
General
| School |
School of Science |
|---|---|
| Academic Unit |
Department of Mathematics |
| Level of Studies |
Undergraduate |
| Course Code |
ΜΑΕ546 |
| Semester |
5 |
| Course Title |
Biomathematics |
| Independent Teaching Activities |
Lectures (Weekly Teaching Hours: 3, Credits: 6) |
| Course Type |
Special Background |
| Prerequisite Courses | - |
| Language of Instruction and Examinations |
Greek |
| Is the Course Offered to Erasmus Students |
Yes (in English) |
| Course Website (URL) | - |
Learning Outcomes
| Learning outcomes |
The course is an introduction to the concepts of Biomathematics. The objectives of the course are:
|
|---|---|
| General Competences |
The course aims to enable the undergraduate students to develop basic knowledge of Biomathematics and in general of Applied Mathematics. The student will be able to cope with problems of Biomathematics giving the opportunity to work in an international multidisciplinary 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 | - | ||||||||||
| Teaching Methods |
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| Student Performance Evaluation |
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Attached Bibliography
- Applied Fluid Mechanics, D. G. Papanikas, 4th Edition, 2010, Editor: F. Papanikas & Co, G. P. (in Greek)
- Computational Fluid Mechanics, J. Soulis, 1 Edition, 2008, Editor: X. N. Aivazis (in Greek)
- 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