SubjectsSubjects(version: 964)
Course, academic year 2024/2025
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Basics of Mathematical Biology - GDAFM01
Title: Základy matematické biologie
Guaranteed by: Department of Biophysics and Physical Chemistry (16-16110)
Faculty: Faculty of Pharmacy in Hradec Králové
Actual: from 2024
Semester: both
Points: 0
E-Credits: 0
Examination process:
Hours per week, examination: 0/0, Ex [HT]
Capacity: winter:unknown / unknown (unknown)
summer:unknown / unknown (unknown)
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
Key competences:  
State of the course: taught
Language: Czech
Teaching methods: full-time
Level:  
Note: course is intended for doctoral students only
enabled for web enrollment
you can enroll for the course in winter and in summer semester
Guarantor: doc. Dipl.-Math. Erik Jurjen Duintjer Tebbens, Ph.D.
Mgr. Veronika Bernhauerová, Ph.D.
Annotation -
Students will learn about different types of models based on ordinary (ODE) and partial (PDE) differential equations that are currently being studied in the fields of gene interaction networks, virology and pharmacokinetics/pharmacodynamics. Students will investigate the stability of ODE's, local and global equilibria and the sensitivity of the ODE solution. Furthermore, students will be introduced to standard curve fitting methods, including the least squares method, maximum likelihood and Monte-Carlo methods. Furthermore, students will get to know mathematical properties of the most widely used numerical integration methods for both ODE's and PDE's, such as Runge-Kutta and Finite Element methods. The basic principles of implicit methods, such as Newton's method, and methods to solve the linear systems resulting from the implementation of the finite element method, will also be discussed.
Last update: Duintjer Tebbens Erik Jurjen, doc. Dipl.-Math., Ph.D. (14.08.2023)
Course completion requirements -
Demonstration of theoretical knowledge according to the course syllabus. Development of a simple programming project in Matlab.
Last update: Duintjer Tebbens Erik Jurjen, doc. Dipl.-Math., Ph.D. (14.08.2023)
Literature -

Recommended:

  • Murray, J. D.. Mathematical biology. I, An introduction. New York: Springer, 2002, 551 s. ISBN 0-387-95223-3.
  • Murray, J. D.. Mathematical biology. II, Spatial models and biomedical applications. New York: Springer, 2003, 811 s. ISBN 0-387-95228-4.
  • Saltelli, Andrea, Chan, K. Scott, E. Marian (eds.). Sensitivity analysis. Chichester: John Wiley & Sons, 2000, 475 s. ISBN 0-471-99892-3.
  • Motulsky, Harvey Christopoulos, Arthur. Fitting models to biological data using linear and nonlinear regression : a practical guide to curve fitting. Oxford ; New York: Oxford University Press, 2004, 351 s. ISBN 0-19-517180-2.

Optional:

  • Nowak, M. A. May, Robert M.. Virus dynamics : mathematical principles of immunology and virology. Oxford: Oxford University Press, 2000, 237 s. ISBN 0-19-850417-9.

Last update: prepocet_literatura.php (19.09.2024)
 
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