14D2I01 - Mathematical modeling of biological systems and processes

Course specification
Course titleMathematical modeling of biological systems and processes
Type of studyPhD academic studies
Lecturer (for classes)
  1. prof. dr Jelena Ajtić
Lecturer/Associate (for practice)
    Lecturer/Associate (for OTC)
      Conditioncurrent semester enrollment
      The goalThe 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 outcomeAt 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 of lecturesPrinciples 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
      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
      LecturesExercisesOTCStudy and ResearchOther classes
      Methods of teachingLectures and interactive practical work
      Knowledge score (maximum points 100)
      Pre obligationsPointsFinal examPoints
      Activites during lectures10Test paper70
      Practical lessonsOral examination