Stochastic models in biology 1000-1S20SMB
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
Type of course
Assessment criteria
The grade based on presentations and a final written report
Additional information
Information on level of this course, year of study and semester when the course unit is delivered, types and amount of class hours - can be found in course structure diagrams of apropriate study programmes. This course is related to the following study programmes:
Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system: