M81B0 Mathematical models in biology

Faculty of Science
Spring 2010
Extent and Intensity
2/0. 2 credit(s) (fasci plus compl plus > 4). Type of Completion: k (colloquium).
Teacher(s)
doc. RNDr. Petr Lánský, DrSc. (lecturer)
Guaranteed by
prof. RNDr. Ivanka Horová, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable
Wed 13:00–14:50 M1,01017
Prerequisites
Mathematical analysis I. and II., Fundamentals of mathematics, Probability and Statistics
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
The course provides with a basic information on the applications of mathematical models in different fields related to biology, like neuroscience, medicine, biophysics and so on. It helps to understand the contemporary trends in research, which could not be performed without sophisticated numerical procedures and such branches of science as information theory, neural networks or biocybernetics. Each lecture is supplemented by a review of mathematical procedures in use.
Syllabus
  • The list is modified with respect to actual research 1) Biochemical reactions. 2) Integrate-and-fire neural models 3) Action potential 4) Applications of point process theory 5) Information coding 6) Sensory systems. 7) Logical neuron 8) Pharmacokinetics 9) Pharmacodynamics. 10) Stochastic resonance 11) Dissolution 12) Simulation of stochastic systems.
Literature
  • Stochastic Models in Biology. 2004th ed. 2004. ISBN 978-1930665927. info
  • TUCKWELL, Henry C. Elementary applications of probability theory : with an introduction to stochastic differential equations. 2nd ed. London: Chapman and Hall, 1995, xv, 292. ISBN 0412576201. info
Teaching methods
Lectures and Discussion
Assessment methods
lectures, class discussion, presentations by professionals in the field
Language of instruction
Czech
Further Comments
Study Materials
The course is taught annually.
The course is also listed under the following terms Spring 2008 - for the purpose of the accreditation, Spring 2011 - only for the accreditation, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2011, Spring 2012, spring 2012 - acreditation, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, spring 2018, Spring 2019, Spring 2020, Spring 2021, Spring 2022, Spring 2023, Spring 2024, Spring 2025.
  • Enrolment Statistics (Spring 2010, recent)
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