From June 16-27, 2008 the IMA will host an intensive short
course designed to efficiently provide researchers in the
mathematical sciences and related disciplines the basic
knowledge prerequisite to undertake research in mathematical
neuroscience. The course will be taught
by G. Bard Ermentrout, Professor of Computational Biology and
Mathematics at the University of Pittsburgh and Jonathan E. Rubin,
Associate Professor of Mathematics at the University of Pittsburgh.
The primary audience
for the course is mathematics faculty. No prior background
in mathematical neuroscience is expected. Participants will receive full
travel and lodging support during the workshop.
Neuroscience is becoming increasingly quantitative and the need for theoreticians interested in collaborating with experimental neuroscientists will only increase in the coming years. In addition to a need for modeling, the kinds of problems which arise in neuroscience applications are mathematically interesting in their own right. For example, much of the theory behind Evans functions was developed in order to study stability of solutions to PDEs arising in the propagation of nerve impulses.
The proposed short course will introduce the participants to basic concepts in cellular and systems neuroscience with an emphasis on the underlying equations and dynamics. Topics will include spatial propagation in single cells, the role of noise, synchronization of oscillatory behavior, network dynamics, and reduction/averaging methods. The toolbox includes singular perturbation, dynamical systems, simulations, and stochastic methods.
| Preliminary Schedule |
Week 1: Monday | Tuesday | Wednesday | Thursday | Friday | Saturday | Sunday | Week 2: Monday | Tuesday | Wednesday | Thursday | Friday | |
|
Monday, June 16
|
| 8:30a-8:45a |
Coffee |
|
Lind Hall 400 |
| 8:45a-9:00a |
Welcome and introduction |
Douglas N. Arnold (University of Minnesota) |
Lind Hall 409 |
| 9:00a-10:30a |
Introduction to the nervous system and overview |
G. Bard Ermentrout (University of Pittsburgh) |
Lind Hall 409 |
| 10:30a-11:00a |
Coffee |
|
Lind Hall 400 |
| 11:00a-12:30p |
Introduction to the nervous system and overview |
Jonathan E. Rubin (University of Pittsburgh) |
Lind Hall 409 |
| 12:30p-2:00p |
Lunch |
|
|
| 2:00p-3:30p |
Self-introductions by the participants |
|
Lind Hall 409 |
| 3:30p-3:45p |
Group Photo |
|
Lind Hall 400 |
| 3:45p-4:45p |
Reception |
|
Lind Hall 400 |
|
Tuesday, June 17
|
| 8:30a-9:00a |
Coffee |
|
Lind Hall 400 |
| 9:00a-10:30a |
Firing rate models and introduction to vision |
G. Bard Ermentrout (University of Pittsburgh) |
Lind Hall 409 |
| 10:30a-11:00a |
Coffee |
|
Lind Hall 400 |
| 11:00a-12:30p |
Firing rate models and introduction to vision |
Jonathan E. Rubin (University of Pittsburgh) |
Lind Hall 409 |
| 12:30p-2:00p |
Lunch |
|
|
| 2:00p-3:30p |
Pattern formation in the visual system |
Paul Bressloff (University of Utah) |
Lind Hall 409 |
|
Wednesday, June 18
|
| 8:30a-9:00a |
Coffee |
|
Lind Hall 400 |
| 9:00a-10:30a |
Experimentalists' perspective–what can we measure? |
Theoden Netoff (University of Minnesota) |
Lind Hall 409 |
| 10:30a-11:00a |
Coffee |
|
Lind Hall 400 |
| 11:00a-12:30p |
Biophysics of channels, cables, membranes; Hodgkin-Huxley theory |
G. Bard Ermentrout (University of Pittsburgh) |
Lind Hall 409 |
| 12:30p-2:00p |
Lunch |
|
|
| 2:00p-3:30p |
Biophysics of channels, cables, membranes; Hodgkin-Huxley theory |
Jonathan E. Rubin (University of Pittsburgh) |
Lind Hall 409 |
| 6:30p-8:30p |
Group dinner |
|
|
|
Thursday, June 19
|
| 8:30a-9:00a |
Coffee |
|
Lind Hall 400 |
| 9:00a-10:30a |
Dynamics of membranes, singular perturbation, bursting, synapses |
G. Bard Ermentrout (University of Pittsburgh) |
Lind Hall 409 |
| 10:30a-11:00a |
Coffee |
|
Lind Hall 400 |
| 11:00a-12:30p |
Dynamics of membranes, singular perturbation, bursting, synapses |
G. Bard Ermentrout (University of Pittsburgh) |
Lind Hall 409 |
| 12:30p-2:00p |
Lunch |
|
|
| 2:00p-3:00p |
Dynamics of membranes, singular perturbation, bursting, synapses |
Jonathan E. Rubin (University of Pittsburgh) |
Lind Hall 409 |
| 3:00p-3:30p |
Coffee |
|
Lind Hall 400 |
| 3:30p-4:30p |
Dynamics of membranes, singular perturbation, bursting, synapses |
Jonathan E. Rubin (University of Pittsburgh) |
Lind Hall 409 |
|
Friday, June 20
|
| 8:30a-9:00a |
Coffee |
|
Lind Hall 400 |
| 9:00a-10:30a |
Attractor networks |
G. Bard Ermentrout (University of Pittsburgh) |
Lind Hall 409 |
| 10:30a-11:00a |
Coffee |
|
Lind Hall 400 |
| 11:00a-12:30p |
Attractor networks |
Jonathan E. Rubin (University of Pittsburgh) |
Lind Hall 409 |
| 12:30p-2:00p |
Lunch |
|
|
| 2:00p-3:30p |
Hippocampus, navigation, direction cells |
A. David Redish (University of Minnesota) |
Lind Hall 409 |
| 3:00p-3:30p |
Coffee |
|
Lind Hall 400 |
|
Saturday, June 21
|
| No lecture scheduled. |
|
Sunday, June 22
|
| No lecture scheduled. |
|
Monday, June 23
|
| 8:30a-9:00a |
Coffee |
|
Lind Hall 400 |
| 9:00a-10:30a |
Phase resetting, weak coupling |
G. Bard Ermentrout (University of Pittsburgh) |
Lind Hall 409 |
| 10:30a-11:00a |
Coffee |
|
Lind Hall 400 |
| 11:00a-12:30p |
Phase resetting, weak coupling
|
G. Bard Ermentrout (University of Pittsburgh) |
Lind Hall 409 |
| 12:30p-2:00p |
Lunch |
|
|
| 2:00p-3:00p |
Cortical rhythms |
Christoph Borgers (Tufts University) |
Lind Hall 409 |
| 3:30p-4:30p |
Cortical Rhythms |
Christoph Borgers (Tufts University) |
Lind Hall 409 |
|
Tuesday, June 24
|
| 8:30a-9:00a |
Coffee |
|
Lind Hall 400 |
| 9:00a-10:30a |
Noise correlations |
Brent Doiron (University of Pittsburgh) |
Lind Hall 409 |
| 10:30a-11:00a |
Coffee |
|
Lind Hall 400 |
| 11:00a-12:30p |
Noise correlations |
Brent Doiron (University of Pittsburgh) |
Lind Hall 409 |
| 12:30p-2:00p |
Lunch |
|
|
| 2:00p-3:00p |
Information theory/population coding |
Duane Nykamp (University of Minnesota) |
Lind Hall 409 |
| 3:00p-3:30p |
Coffee |
|
Lind Hall 400 |
| 3:30p-4:30p |
Information theory/population coding |
Duane Nykamp (University of Minnesota) |
Lind Hall 409 |
|
Wednesday, June 25
|
| 8:30a-9:00a |
Coffee |
|
Lind Hall 400 |
| 9:00a-10:30a |
Plasticity, dendrites |
Jonathan E. Rubin (University of Pittsburgh) |
Lind Hall 409 |
| 10:30a-11:00a |
Coffee |
|
Lind Hall 400 |
| 11:00a-12:30p |
Plasticity, dendrites |
Jonathan E. Rubin (University of Pittsburgh) |
Lind Hall 409 |
| 12:30p-2:00p |
Lunch |
|
|
| 2:00p-3:00p |
Inverse problems |
Steven J. Cox (Rice University) |
Lind Hall 409 |
| 3:00p-3:30p |
Coffee |
|
Lind Hall 400 |
| 3:30p-4:30p |
Inverse problems |
Steven J. Cox (Rice University) |
Lind Hall 409 |
| 6:30p-8:30p |
Group dinner |
|
|
|
Thursday, June 26
|
| 8:30a-9:00a |
Coffee |
|
Lind Hall 400 |
| 9:00a-10:30a |
Waves, Evans functions, spatial models |
G. Bard Ermentrout (University of Pittsburgh) |
Lind Hall 409 |
| 10:30a-11:00a |
Coffee |
|
Lind Hall 400 |
| 11:00a-12:30p |
Waves, Evans functions, spatial models |
G. Bard Ermentrout (University of Pittsburgh) |
Lind Hall 409 |
| 12:30p-2:00p |
Lunch |
|
|
| 2:00p-3:00p |
Waves, Evans functions, spatial models |
Jonathan E. Rubin (University of Pittsburgh) |
Lind Hall 409 |
| 3:00p-3:30p |
Coffee |
|
Lind Hall 400 |
| 3:30p-4:30p |
Waves, Evans functions, spatial models |
Jonathan E. Rubin (University of Pittsburgh) |
Lind Hall 409 |
|
Friday, June 27
|
| 8:30a-9:00a |
Coffee |
|
Lind Hall 400 |
| 9:00a-10:30a |
Development, pattern formation |
G. Bard Ermentrout (University of Pittsburgh) |
Lind Hall 409 |
| 10:30a-11:00a |
Coffee |
|
Lind Hall 400 |
| 11:00a-12:30p |
Development, pattern formation |
Jonathan E. Rubin (University of Pittsburgh) |
Lind Hall 409 |
| 12:30p-2:00p |
Lunch |
|
|
| 2:00p-3:30p |
Concluding session |
|
Lind Hall 409 |
| Name |
Department |
Affiliation |
| Lorna Saldua Almocera |
Department of Natural Sciences and Mathematics Division |
University of the Philippines, Cebu College |
| Christoph Borgers |
Department of Mathematics |
Tufts University |
| Adela Nicoleta Comanici |
Institute of Comparative Medicine |
University of Glasgow |
| Steven J. Cox |
Computational and Applied Mathematics |
Rice University |
| Lee DeVille |
Department of Mathematics |
University of Illinois at Urbana-Champaign |
| Brent Doiron |
Department of Mathematics |
University of Pittsburgh |
| Srabasti Dutta |
Department of Mathematics |
College of Saint Elizabeth |
| G. Bard Ermentrout |
Department of Mathematics |
University of Pittsburgh |
| Jose D. Flores |
Department of Mathematics |
University of South Dakota |
| Winston Garira |
Department of Mathematics and Applied Mathematics |
University of Venda for Science and Technology |
| Esfandiar Haghverdi |
School of Informatics |
Indiana University |
| Song-Hwa Kwon |
Department of Mathematics |
Seoul National University |
| Maria Leite |
Department of Mathematics |
Purdue University |
| Gregory Lyng |
Department of Mathematics |
University of Wyoming |
| Alexandre L. Madureira |
Department of Applied and Computational Mathematics |
Laboratorio Nacional de Computacao Cientifica |
| Hil Meijer |
Department of Electrical Engineering, Mathematics and Computer Science |
Universiteit Twente |
| Rennie Mirollo |
Department of Mathematics |
Boston College |
| Theoden Netoff |
Department of Biomedical Engineering |
University of Minnesota |
| Duane Nykamp |
School of Mathematics |
University of Minnesota |
| Norma Leticia Ortiz |
Department of Mathematics and Applied Mathematics |
Virginia Commonwealth University |
| Bobby Philip |
Computer and Computational Sciences Division |
Los Alamos National Laboratory |
| Angela Slavova Popivanova |
Department of Mathematical Physics |
Bulgarian Academy of Sciences |
| Zoi Rapti |
Department of Mathematics |
University of Illinois at Urbana-Champaign |
| A. David Redish |
Department of Neuroscience |
University of Minnesota |
| David Kenneth Rollins |
Department of Mathematics |
University of Central Florida |
| Jonathan E. Rubin |
Department of Mathematics |
University of Pittsburgh |
| Liejune Shiau |
Department of Mathematics |
University of Houston-Clear Lake |
| Patrick Daniel Shipman |
Department of Mathematics |
University of Maryland |
| Allan Struthers |
Department of Mathematical Sciences |
Michigan Technological University |
| Je-Chiang Tsai |
Department of Mathematics |
National Chung Cheng University |
| Bixiang Wang |
Department of Mathematics |
New Mexico Institute of Mining and Technology (New Mexico Tech) |
| Kelly Wei |
Department of Neuromodulation |
Medtronic |
| Xuming Xie |
Department of Mathematics |
Morgan State University |