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14D2I01 - Mathematical modeling of biological systems and processes

Course specification
Course title Mathematical modeling of biological systems and processes
Acronym 14D2I01
Study programme DOCTORAL ACADEMIC STUDIES
Module
Type of study PhD academic studies
Lecturer (for classes)
Lecturer/Associate (for practice)
    Lecturer/Associate (for OTC)
      ESPB 4.0 Status elective
      Condition current semester enrollment Oblik uslovljenosti
      The goal The goal of the course is to acquaint the students with the principles of mathematical modelling, classification and categorisation of models, and their application in biomedical research, with an emphasis on cybernetic and information models that are the basis of the modern understanding of biological system organisation and functioning
      The outcome At the conclusion of the course, the students will have a basic knowledge of the fundamental principles of mathematical modelling in biomedical research and will be able to list and describe different types of biophysical models.
      Contents
      Contents of lectures Principles of modelling and model classification. Modelling processes. Fundamentals of compartment analysis. Models of the visual receptor, resting potential and action potential. Cybernetic and information models. Rheological models of tissues and liquids. Models of adaptation mechanisms. Thermodynamic models. Modelling transport processes through the cell membrane.
      Contents of exercises
      Literature
      1. G. L. Atkins, Multicompartment Models for Biological Systems. Methuen & Co. Ltd and Science Paperbacks, London, 1969. (Original title)
      2. D. Ristanović, Matematičko modelovanje pojava u biološkim sistemima. Naučna knjiga, Beograd, 1989. (Original title)
      3. D. Simić, Osnovi kibernetike. Naučna knjiga, Beograd, 1981. (Original title)
      4. J. Simonović, J. Vuković, D. Ristanović, R. Radovanović, D. Popov, Biofizika u medicini. Medicinska knjiga, Beograd, 2000. (Original title)
      5. G. S. Campbell, An Introduction to Environmental Biophysics. Springer-Verlag New York Inc., 1977. (Original title)
      Number of hours per week during the semester/trimester/year
      Lectures Exercises OTC Study and Research Other classes
      2
      Methods of teaching Lectures and interactive practical work
      Knowledge score (maximum points 100)
      Pre obligations Points Final exam Points
      Activites during lectures 10 Test paper 70
      Practical lessons Oral examination
      Projects
      Colloquia
      Seminars 20