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New Directions Program

New Directions Short Course:

Mathematical Neuroscience

June 16 - 27, 2008

Instructors:
G. Bard Ermentrout Mathematics, University of Pittsburgh
Jonathan E. Rubin Mathematics, University of Pittsburgh

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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.

Description:

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.

Application procedure. The IMA New Directions Short Courses will be limited to 25 participants selected by application. All successful applicants will be funded for travel and local expenses. Please see the IMA reimbursement policy for details about airfare.

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-10:00a Introduction to the nervous system Jonathan E. Rubin (University of Pittsburgh) Lind Hall 409
10:00a-10:30a Coffee   Lind Hall 400
10:30a-12:30p Cables and dendrites G. Bard Ermentrout (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 Simple models and networks Jonathan E. Rubin (University of Pittsburgh) Lind Hall 409
10:30a-11:00a Coffee   Lind Hall 400
11:00a-12:30p Firing rates, filters, and introduction to the visual system G. Bard Ermentrout (University of Pittsburgh) Lind Hall 409
12:30p-2:00p Lunch    
2:00p-5:00p Pattern formation in the visual system Ken Miller (Columbia University) 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 Hodgkin-Huxley theory Jonathan E. Rubin (University of Pittsburgh) Lind Hall 409
12:30p-2:00p Lunch    
2:00p-3:30p Channels G. Bard Ermentrout (University of Pittsburgh) Lind Hall 409
6:30p-8:30p Workshop dinner at Pagoda in Dinkytown   Pagoda
1417 4th St. SE Minneapolis, MN 612-378-4710  
  Thursday, June 19
8:30a-9:00a Coffee   Lind Hall 400
9:00a-10:30a Membrane dynamics, 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 Membrane dynamics, singular perturbation, bursting, synapses G. Bard Ermentrout (University of Pittsburgh) Lind Hall 409
12:30p-2:00p Lunch    
2:00p-3:30p Membrane dynamics, singular perturbation, bursting, synapses Jonathan E. Rubin (University of Pittsburgh) Lind Hall 409
3:30p-4:00p Coffee   Lind Hall 400
4:00p-5:30p Membrane dynamics, 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 Small networks and synchrony Jonathan E. Rubin (University of Pittsburgh) Lind Hall 409
10:30a-11:00a Coffee   Lind Hall 400
11:00a-12:30p Attractor networks and bumps G. Bard Ermentrout (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 Q. Nykamp (University of Minnesota) Lind Hall 409
3:00p-3:30p Coffee   Lind Hall 400
3:30p-4:30p Information theory/population coding Duane Q. Nykamp (University of Minnesota) Lind Hall 409
7:30p-8:30p Public lecture: Toys! Toys! Toys! The dynamics of some curious toys G. Bard Ermentrout (University of Pittsburgh) EE/CS 3-180
  Wednesday, June 25
8:30a-9:00a Coffee   Lind Hall 400
9:00a-10:30a Synapses and plasticity Jonathan E. Rubin (University of Pittsburgh) Lind Hall 409
10:30a-11:00a Coffee   Lind Hall 400
11:00a-12:30p Synapses and plasticity 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 Workshop dinner at Caspian Bistro   Caspian Bistro
2418 University Ave SE
Minneapolis, MN 55414
612-623-1133 
  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 Jonathan E. Rubin (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 G. Bard Ermentrout (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

LIST OF CONFIRMED PARTICIPANTS

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
Robert 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
Namyong Lee Department of Mathematics Minnesota State 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
Ken Miller Center for Theoretical Neuroscience Columbia University
Rennie Mirollo Department of Mathematics Boston College
Theoden Netoff Department of Biomedical Engineering University of Minnesota
Duane Q. 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