Course in Modelling of Physiological Systems

Course content

The goal of the course is to enable the students to understand and handle tools for biosimulation and to apply mathematical modeling in biomedical sciences. The course is focused on dynamical aspects of regulatory mechanisms at different levels of biological organization, i. e. cellular and systems physiology.

Education

BSc programme in Medicine and Technology (Biomedical Engineering)

Learning outcome

At the end of the course the student is expected to be able to:

Knowledge

  • Explain different approaches to modeling

  • Understand mathematical/physics concepts (dynamical systems, stability analysis, oscillations, synchronization)

  • Understand simple computational algorithms used for modeling

  • Explain main models and dynamics of excitable cells

  • Explain mechanisms and mathematical description of calcium dynamics

  • Understand mechanisms of insulin-glucose regulation and mathematical description of involved feedback loops

  • Understand mechanisms and mathematical description of vascular responses and kidney autoregulation

  • Understand regulatory mechanisms of circadian rhythms and their simple mathematical models

Skills

  • Discuss modeling approaches depending on the purpose of study

  • Apply mathematical/physical concept to particular biomedical problem

  • Formulate model of excitable cells and discuss their possible simplifications and dynamics

  • Formulate a simple model for calcium oscillations and discuss possible dynamics

  • Formulate a model of insulin absorption and insulin-glucose regulation, perform analysis of the observed phenomena and discuss their relevance to diabetes

  • Formulate a model for kidney autoregulation, perform analysis of the observed phenomena and discuss their relevance to hypertension

  • Discuss applications of chronobiology and formulate a simple model of circadian rhythms

  • Reproduce, modify and simulate models from scientific literature

  • Improve scientific and academic vocabulary of English language

 

Competence

  • To formulate mechanism-based models and find appropriate methods to investigate them

  • To interpret dynamical features ofbiomedical systems from biological and mathematical points of view

  • To integrate fundamental knowledge from physics, mathematics and biology to provide better understanding of regulatory mechanisms

E-learning, lectures and lab exercises

On-line lectures and lecture notes

Please note! In addition to the course certificate mentioned in this course description, the description of the oral exam has a separate exam description SMTB16002E

ECTS
2,5 ECTS
Type of assessment
Course participation
Participation in exercises and approval of reports
Aid
All aids allowed
Marking scale
passed/not passed
Censorship form
No external censorship
An internal examiner
Criteria for exam assessment

To obtain the course certificate the student must be able to

Knowledge

  • Explain different approaches to modeling

  • Understand mathematical/physics concepts (dynamical systems, stability analysis, oscillations, synchronization)

  • Understand simple computational algorithms used for modeling

  • Explain main models and dynamics of excitable cells

  • Explain mechanisms and mathematical description of calcium dynamics

  • Understand mechanisms of insulin-glucose regulation and mathematical description of involved feedback loops

  • Understand mechanisms and mathematical description of vascular responses and kidney autoregulation

  • Understand regulatory mechanisms of circadian rhythms and their simple mathematical models

Skills

  • Discuss modeling approachesdepending on the purpose of study

  • Apply mathematical/physical concept to particular biomedical problem

  • Formulate model of excitable cells and discuss their possible simplifications and dynamics

  • Formulate a simple model for calcium oscillations and discuss possible dynamics

  • Formulate a model of insulin absorption and insulin-glucose regulation, perform analysis of the observed phenomena and discuss their relevance to diabetes

  • Formulate a model for kidney autoregulation, perform analysis of the observed phenomena and discuss their relevance to hypertension

  • Discuss applications of chronobiology and formulate a simple model of circadian rhythms

  • Reproduce, modify and simulate models from scientific literature

  • Improve scientific and academic vocabulary of English language

 

Competence

  • To formulate mechanism-based models and find appropriate methods to investigate them

  • To interpret dynamical features ofbiomedical systems from biological and mathematical points of view

  • To integrate fundamental knowledge from physics, mathematics and biology to provide better understanding of regulatory mechanisms

Single subject courses (day)

  • Category
  • Hours
  • Lectures
  • 24
  • Theory exercises
  • 24
  • Exam
  • 0,3
  • E-Learning
  • 24
  • Preparation
  • 65,2
  • English
  • 137,5