First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Engineering
BIOMEDICAL ENGINEERING
Course unit
ELEMENTS OF MATHEMATICAL BIOLOGY
INP3052684, A.A. 2017/18

Information concerning the students who enrolled in A.Y. 2015/16

Information on the course unit
Degree course First cycle degree in
BIOMEDICAL ENGINEERING
IN0512, Degree course structure A.Y. 2011/12, A.Y. 2017/18
N0
bring this page
with you
Number of ECTS credits allocated 6.0
Type of assessment Mark
Course unit English denomination ELEMENTS OF MATHEMATICAL BIOLOGY
Department of reference Department of Information Engineering
E-Learning website https://elearning.dei.unipd.it/course/view.php?idnumber=2017-IN0512-000ZZ-2015-INP3052684-N0
Mandatory attendance No
Language of instruction English
Branch PADOVA
Single Course unit The Course unit can be attended under the option Single Course unit attendance
Optional Course unit The Course unit can be chosen as Optional Course unit

Lecturers
Teacher in charge MORTEN GRAM PEDERSEN ING-INF/06

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Core courses ING-INF/06 Electronic and Information Bioengineering 6.0

Mode of delivery (when and how)
Period Second semester
Year 3rd Year
Teaching method frontal

Organisation of didactics
Type of hours Credits Hours of
teaching
Hours of
Individual study
Shifts
Lecture 6.0 48 102.0 No turn

Calendar
Start of activities 26/02/2018
End of activities 01/06/2018

Syllabus
Prerequisites: Knowledge of differential equations and linear algebra.
Target skills and knowledge: Knowledge of dynamic models of various biological scenarios.
Knowledge about analysis of simple dynamical systems: fix points, oscillations, Hopf bifurcation.
Ability to implement and perform numerical simulations of dynamic models in MATLAB.
Capacity to evaluate the goodness of models considering their scope ("critical spirit").
Examination methods: Written report with oral discussion
Assessment criteria: The exam will evaluate the ability of the student to interpret mathematical results and simulations in biological terms, as well as the capacities of performing numerical simulations and mathematical analyses of the models.
Course unit contents: COURSE IN ENGLISH

Models of infectious diseases.
Enzyme kinetics, quasi-steady-state approximation, Michaelis-Menten kinetics.
Biochemical and biological oscillations, e.g., circadian rhythms (DNA and RNA transcription).
Electrical activity in neurons, the Hodgkin-Huxley model.
Analysis of dynamical systems: temporal scales, stability of fix points, Hopf bifurcation.
Planned learning activities and teaching methods: Approximately 2 hours of lessons and 2 hours of computer exercise (MATLAB) class every week.
Additional notes about suggested reading: The following book is recommended reading:
Stephen P. Ellner & John Guckenheimer: "Dynamic Models in Biology". Princeton University Press, 2006.
Textbooks (and optional supplementary readings)