Mathematical Methods in Biology and Medicine

Code:

M386

Acronym:

M386

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2010/2011 - 2S

Active?	Yes
Web Page:	http://elearning2.fc.up.pt/aulasweb0910/course/view.php?id=1673&edit=0&sesskey=04OBSmP4sv
Responsible unit:	Department of Mathematics
Course/CS Responsible:	Bachelor in Mathematics

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
L:B	0	Plano de estudos a partir de 2008	3	-	7,5	63	202,5
L:G	0	P.E - estudantes com 1ª matricula anterior a 09/10	3	-	7,5	63	202,5
		P.E - estudantes com 1ª matricula em 09/10	3	-	7,5	63	202,5
L:M	36	Plano de estudos a partir de 2009	1	-	7,5	63	202,5
			2
			3
L:Q	1	Plano de estudos Oficial	3	-	7,5	63	202,5
M:ENM	1	PE do Mestrado em Engenharia Matemática	1	-	7,5	63	202,5
			2
M:MPRO	0	PEOficial Mestrado Matemática Professores	1	-	7,5	63	202,5
PGMP	0	PE da PG em Matemática para Professores	1	-	7,5	63	202,5

Teaching language

Portuguese

Objectives

Application of already known mathematical techniques to models in Biology and Medicine,
study of new mathematical techniques that may be used in the analysis of these models.

Program

Mathematical methods for treatment of models, among the following:
- continuous time dynamical systems, ordinary differential equations;
- partial differential equations, in particular reaction-diffusion equations;
- models with symmetry, coupled cell systems.

Study of examples of mathematical models in Biology and Medicine using these methods, like, for instance:
- population ecology, interaction of species;
- propagation of infectious diseases;
- pattern formation;
- propagation of nerve impulse.


Bibliography
Main:
- Britton, "Essential Mathematical Biology"
- Murray, "Mathematical Biology"
- Brauer and Castillo-Chávez, "Mathematical Models in Population Biology and Epidemiology"
- Ermentrout and Terman, "Mathematical Foundations of Neuroscience"

Complementary:
- Braun, "Differential equations and their applications",
- Hirsch, Smale and Devaney, "Differential equations, dynamical systems and an introduction to chaos"
- Golubitsky and Stewart, "The symmetry perspective"

Evaluation Type

Distributed evaluation with final exam

Calculation formula of final grade

The student who obtains a total of 19 points in the two tests and a mimimum mark of 6 out of 20 in each test is exempted from the final examination.

A minimum of 9.5 in the exam is required for approval.

The final mark is either the average of the marks obtained in the two tests or the result of the final exam.

An additional test, either written or oral, may be asked of students aiming at marks over 15 out of 20.

Special assessment (TE, DA, ...)

Written supplementary exam.

Students that have taken the tests and have been exempted from the exam may take the final exam to try to improve their mark.

An additional test, either written or oral, may be asked of students aiming at marks over 15 out of 20.

Classification improvement

Written supplementary exam.

Students that have taken the tests and have been exempted from the exam may take the final exam to try to improve their mark.

An additional test, either written or oral, may be asked of students aiming at marks over 15 out of 20.