First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Engineering
BIOMEDICAL ENGINEERING
Course unit
ELEMENTS OF MATHEMATICAL BIOLOGY
INP6075163, A.A. 2018/19

Information concerning the students who enrolled in A.Y. 2016/17

Information on the course unit
Degree course First cycle degree in
INGEGNERIA BIOMEDICA
IN0512, Degree course structure A.Y. 2011/12, A.Y. 2018/19
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=2018-IN0512-000ZZ-2016-INP6075163-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

Course unit organization
Period Second semester
Year 3rd Year
Teaching method frontal

Type of hours Credits Teaching
hours
Hours of
Individual study
Shifts
Lecture 6.0 48 102.0 No turn

Calendar
Start of activities 25/02/2019
End of activities 14/06/2019

Examination board
Examination board not defined

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, Saddle-node bifurcation, Hopf bifurcation.
Ability to perform simple analyses of nonlinear dynamical systems.
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 based on a scientific article. This allows the evalution of (i) the understanding and critical evaluation of the model; (ii) the capacity to implement the model in MATLAB to reproduce the figures of the article; (iii) the capacity to apply the theoretical methods to the model using MATLAB.
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: All slides from the lectures and various MATLAB files from the laboratories will be made available on the Moodle platform.
Textbooks (and optional supplementary readings)

Innovative teaching methods: Teaching and learning strategies
  • Lecturing
  • Laboratory
  • Problem based learning
  • Case study
  • Interactive lecturing
  • Working in group
  • Questioning
  • Problem solving
  • Loading of files and pages (web pages, Moodle, ...)

Innovative teaching methods: Software or applications used
  • Moodle (files, quizzes, workshops, ...)
  • Matlab

Sustainable Development Goals (SDGs)
Good Health and Well-Being Quality Education Life on Land