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Stochastic Modelling in Biology - NMST562

Title:	Stochastické modelování v biologii
Guaranteed by:	Department of Probability and Mathematical Statistics (32-KPMS)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2018
Semester:	summer
E-Credits:	3
Hours per week, examination:	summer s.:2/0, Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	not taught
Language:	Czech
Teaching methods:	full-time

Guarantor:	prof. Lev Klebanov, DrSc.
Class:	M Mgr. PMSE M Mgr. PMSE > Volitelné
Classification:	Mathematics > Probability and Statistics
Is interchangeable with:	NSTP069

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Annotation -

This course is designed to familiarize students with applications of stochastic processes and mathematical statistics in biology, e.g. survival models, testing, etc.

Last update: G_M (29.05.2013)

Aim of the course -

The aim of the lecture to interpret some parts of statistics and stochastic processes, typically used in some problems of modern biology.

Last update: G_M (29.05.2013)

Literature - Czech

Taylor, H.M. and Karlin, S. An Introduction to Stochastic Modeling. 3rd Edition, Academic Press, Inc., 1998.

L.J.S. Allen (2003) An Introduction to Stochastic Processes with Applications to Biology. Pearson Prentice

Hall.

J.K. Percus (2002) Mathematics of Genome Analysis. Cambridge University Press, New York.

Last update: G_M (29.05.2013)

Teaching methods -

Lecture.

Last update: G_M (29.05.2013)

Syllabus -

1. Background

1.1 Stochastic processes and statistics.

1.2 Limit theorems (approximation techniques) .

1.3 Survival theory.

1.4 Methods of multivariate analysis.

1.5 Multiple testing theory

2. Show how stochastic models arise naturally in biology.

2.1 Population growth, epidemics, gene regulatory networks, etc.

2.2 Stochastic (bio) chemical kinetic models.

2.3 Survival and cure modeling.

2.4 Statistical analysis of microarrays.

Last update: G_M (29.05.2013)

Entry requirements -

Lebesgue integral, multivariate calculus, linear algebra

Last update: Zichová Jitka, RNDr., Dr. (19.06.2019)