Stochastic models in biology

General data

Course ID:	1000-1S20SMB
Erasmus code / ISCED:	11.1 Kod klasyfikacyjny przedmiotu składa się z trzech do pięciu cyfr, przy czym trzy pierwsze oznaczają klasyfikację dziedziny wg. Listy kodów dziedzin obowiązującej w programie Socrates/Erasmus, czwarta (dotąd na ogół 0) – ewentualne uszczegółowienie informacji o dyscyplinie, piąta – stopień zaawansowania przedmiotu ustalony na podstawie roku studiów, dla którego przedmiot jest przeznaczony. / (0541) Mathematics The ISCED (International Standard Classification of Education) code has been designed by UNESCO.
Course title:	Stochastic models in biology
Name in Polish:	Stochastyczne modele w biologii
Organizational unit:	Faculty of Mathematics, Informatics, and Mechanics
Course groups:	Seminars for Mathematics
ECTS credit allocation (and other scores):	(not available) Basic information on ECTS credits allocation principles: the annual hourly workload of the student’s work required to achieve the expected learning outcomes for a given stage is 1500-1800h, corresponding to 60 ECTS; the student’s weekly hourly workload is 45 h; 1 ECTS point corresponds to 25-30 hours of student work needed to achieve the assumed learning outcomes; weekly student workload necessary to achieve the assumed learning outcomes allows to obtain 1.5 ECTS; work required to pass the course, which has been assigned 3 ECTS, constitutes 10% of the semester student load. view allocation of credits
Language:	English
Type of course:	elective seminars
Short description:	The goal of the seminar is to provide a comprehensive overview of modern problems and methods of mathematical biosciences. It will be devoted primarily to students who do not necessarily have extensive background in basic biology, and may have had only little exposure to some key relevant mathematical techniques. The seminar will focus on the use of stochastic methods to describe biological dynamics both on the micro (molecular and cellular) and macro (organism and population) scales. We plan to invite several well-known researchers in mathematical biology to deliver invited lectures as part of the seminar. Students will have opportunity to work on projects provided by speakers.
Full description:	The goal of the seminar (organized together with Grzegorz Rempała from Ohio State University) is to provide a comprehensive overview of modern problems and methods of mathematical biosciences. It will be devoted primarily to students and researchers in the mathematical sciences who do not necessarily have extensive background in basic biology, and may have had only little exposure to some key relevant mathematical techniques. The seminar will focus on the use of stochastic methods to describe biological dynamics both on the micro (molecular and cellular) and macro (organism and population) scales. The tentative list of topic areas includes: (A) Markov jump processes and their applications to ecological models of disease transmission and molecular models of gene transcription. (B) Large volume aggregations of stochastic dynamics: diffusion approximation and law of large numbers for Markov jump processes with applications to parameter estimation in biological systems. (C) Markov chains and their applications to evolutionary game theory. (D) Methods of statistical inference for micro and macro biological models: ecological surveillance methods, sequential sampling, epidemic curves, gene expressions and phylogeny analysis. (E) Methods and models of non-equilibrium statistical physics in biological systems. We plan to invite several well-known researchers in mathematical biology to deliver invited lectures as part of the seminar. Students will have opportunity to work on projects provided by speakers. Tentative list of speakers: Eben Kenah (Ohio State) https://cph.osu.edu/people/ekenah Tom Britton (Stokholm University) https://staff.math.su.se/tom.britton Julian Arino (University og Manitoba) https://server.math.umanitoba.ca/~jarino Boseung Choi (Korea University) http://sejong.korea.ac.kr/mbshome/mbs/nslab/subview.do?id=nslab_020102000000 Heiko Henderling (Moffit Cancer Center) https://moffitt.org/research-science/researchers/heiko-enderling Jan Wehr (University of Arizona) https://wehr.faculty.arizona.edu Avner Friedman (Ohio State) https://people.math.osu.edu/friedman.158 Michał Komorowski (IPPT PAN) http://sysbiosig.org/team/michal-komorowski Tomasz Lipniacki (IPPT PAN) https://www.ippt.pan.pl/staff.html?idj5=tlipnia Anna Marcinek-Ochab (IChF PAN) http://pepe.ichf.edu.pl/ochab/ochab_pl.html Christian Maes (KU Leuven) https://fys.kuleuven.be/itf/staff/christ/home
Assessment methods and assessment criteria:	The grade based on presentations and a final written report

This course is not currently offered.

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