Organizer: Fugo Takasu, Prof. of the Department of Environmental Science, Faculty of Science, Nara Women's University
//gi.ics.nara-wu.ac.jp/~takasu/
//www.nara-wu.ac.jp/rigaku/eng/index.html
Aim: In this summer program, we aim to provide participants with a basic and an advanced introduction to mathematical modeling of biological phenomena. Participants will take a series of lectures on application of dynamical systems to biology and participate in computer programming to learn how to solve and simulate various mathematical models including ODE, PDE and stochastic processes. English is official language used in this program. Certificate of participation will be issued by dean of the Faculty of Science, Nara Women's University.
Schedule: Minimally five full working days in late July or early August. Participants take lectures in the morning (9:00- 12:00, 45min x 3) and work on programming to numerically solve mathematical models in the afternoon (13:00- 16:00). Participants will work on specific topics and give presentation on the final day (a few participants make one group and they choose a specific topic to analyze and give presentation as to the topic).
Day 1 to 5: Lectures (9:00- 12:00) and programming (13:00- 16:00)
+ Several socialization events with NWU students
Day 6 and 7: Work on specific topics in group and give presentation on the final day
Venue: Department of Environmental Science, Building G of the Faculty of Science, NWU.
//www.nara-wu.ac.jp/rigaku/index.html
Lecture topics to be provided (subject to change):
1) Dynamical systems as ODE to describe population dynamics (F Takasu)
Equilibrium and its local stability, Numerical method
2) Spatial population dynamics as reaction diffusion models as PDE (F Takasu)
Diffusion induced instability as a mechanism of pattern formation, Numerical method
3) Stochastic population dynamics in which population size is integer-valued (F Takasu)
Random variables and generation of pseud random numbers to rum stochastic processes
4) Mathematical models in geochemistry (Dr. Mayumi Seto, to be fixed)
5) Parallel computing: Introduction of MPI to implement parallel computing of solving PDE (F Takasu, Optional)
Terms and conditions: Undergraduate and graduate students of NWU and partner universities of NWU in China can apply for this program. We accept maximally 10 (?) students from NWU and 10 (?) students from partner universities in China.
Participants are supposed to have basic knowledge of algebra and calculus taught at undergraduate level, as well as basic skill in computer programming in any computer programming language (In simulation class, we will use C language). For participants from China, NWU issues user account to use computers (Linux) at computer rooms. But participants are encouraged to bring own laptop computers with preferred programming language installed (C, C++, R, etc.).
NWU charges no fees to this program. But participants should cover flights, accommodation and insurance expenses, etc., by themselves. NWU will offer information about cheap hotels near NWU campus.
NWU will issue necessary documents (invitation letters, etc.) for participants to obtain visa to enter Japan.
As of this writing, NWU has no financial support to participants. But NWU may be able to figure out some financial support, e.g., a part of accommodation, etc. (not yet fixed).