Modelling of Biological Processes I

Total Hours in Course81

Number of hours for lectures16

Number of hours for laboratory classes16

Independent study hours49

Responsible UnitInstitute of Mathematics and Physics

Course developers

Matemātikas un fizikas institūts

Svetlana Atslēga

Dr. math.

Datoru sistēmu un datu zinātnes institūts

Tatjana Rubina

Dr. sc. ing.

Course abstract

The aim of this course is to accumulate the knowledge of the mathematical models creation, their applications, realization possibilities in the program Matlab, application and development of the programming skills in the decision of different problems using mathematical modelling. Within the course it is supposed to consider examples of different mathematical models, which describe the processes occurring in the nature and living systems.

Learning outcomes and their assessment

• knowledge of approximation and interpolation of functions, finite difference, spline interpolation, cubic splines, mathematical modeling, random variables, distributions, Monte Carlo method, biochemical systems modeling principles;
• skills to evaluate algebraic expressions, plot the graphs of functions using software Matlab, approximate and interpolate, define a random sample, construct a distribution, formulate a mathematical model of a given situation, solve the model, interpret the solution, use Monte Carlo method;
• competence: of mathematical thinking, of handle symbols and formal mathematics language, of mathematical problem formulating and solving, of reasoning, of modeling, of aids and tools and of communication.

Compulsory reading

1. Kronbergs E., Rivža P., Bože Dz. Augstākā matemātika II daļa. Rīga: Zvaigzne, 1988. 527 lpp.
2. Lorencs A. Statistisku datu ieguve un analīze. Rīga: Latvijas Universitāte, 2003. 60 lpp.
3. Ануфриев И., Смирнов А., Смирнова Е. MATLAB 7. Санкт-Петербург: БХВ-Петербург, 2005. 1104 с.

Atsauksmes