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: Development of the theoretical background in matters relating to biomathematics. Ability of the student to apply the basic concepts of biomathematics. Upon completion of this course the student will be able to solve with analytical and numerical methods simple problems of biomathematics and deepen further understanding of such methods.

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	Activity Semester Workload 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

• 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