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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
8:30am-8:45am Coffee   Lind Hall 400
8:45am-9:00am Welcome and introduction Douglas N. Arnold (University of Minnesota) Lind Hall 409
9:00am-10:00am Introduction to the nervous system Jonathan E. Rubin (University of Pittsburgh) Lind Hall 409
10:00am-10:30am Coffee   Lind Hall 400
10:30am-12:30pm Cables and dendrites G. Bard Ermentrout (University of Pittsburgh) Lind Hall 409
12:30pm-2:00pm Lunch    
2:00pm-3:30pm Self-introductions by the participants   Lind Hall 409
3:30pm-3:45pm Group Photo   Lind Hall 400
3:45pm-4:45pm Reception   Lind Hall 400
  Tuesday, June 17
8:30am-9:00am Coffee   Lind Hall 400
9:00am-10:30am Simple models and networks Jonathan E. Rubin (University of Pittsburgh) Lind Hall 409
10:30am-11:00am Coffee   Lind Hall 400
11:00am-12:30pm Firing rates, filters, and introduction to the visual system G. Bard Ermentrout (University of Pittsburgh) Lind Hall 409
12:30pm-2:00pm Lunch    
2:00pm-5:00pm Pattern formation in the visual system Ken Miller (Columbia University) Lind Hall 409
  Wednesday, June 18
8:30am-9:00am Coffee   Lind Hall 400
9:00am-10:30am Experimentalists' perspective–what can we measure? Theoden Netoff (University of Minnesota) Lind Hall 409
10:30am-11:00am Coffee   Lind Hall 400
11:00am-12:30pm Hodgkin-Huxley theory Jonathan E. Rubin (University of Pittsburgh) Lind Hall 409
12:30pm-2:00pm Lunch    
2:00pm-3:30pm Channels G. Bard Ermentrout (University of Pittsburgh) Lind Hall 409
6:30pm-8:30pm Workshop dinner at Pagoda in Dinkytown   Pagoda
1417 4th St. SE Minneapolis, MN 612-378-4710  
  Thursday, June 19
8:30am-9:00am Coffee   Lind Hall 400
9:00am-10:30am Membrane dynamics, singular perturbation, bursting, synapses G. Bard Ermentrout (University of Pittsburgh) Lind Hall 409
10:30am-11:00am Coffee   Lind Hall 400
11:00am-12:30pm Membrane dynamics, singular perturbation, bursting, synapses G. Bard Ermentrout (University of Pittsburgh) Lind Hall 409
12:30pm-2:00pm Lunch    
2:00pm-3:30pm Membrane dynamics, singular perturbation, bursting, synapses Jonathan E. Rubin (University of Pittsburgh) Lind Hall 409
3:30pm-4:00pm Coffee   Lind Hall 400
4:00pm-5:30pm Membrane dynamics, singular perturbation, bursting, synapses Jonathan E. Rubin (University of Pittsburgh) Lind Hall 409
  Friday, June 20
8:30am-9:00am Coffee   Lind Hall 400
9:00am-10:30am Small networks and synchrony Jonathan E. Rubin (University of Pittsburgh) Lind Hall 409
10:30am-11:00am Coffee   Lind Hall 400
11:00am-12:30pm Attractor networks and bumps G. Bard Ermentrout (University of Pittsburgh) Lind Hall 409
12:30pm-2:00pm Lunch    
2:00pm-3:30pm Hippocampus, navigation, direction cells A. David Redish (University of Minnesota) Lind Hall 409
3:00pm-3:30pm Coffee   Lind Hall 400
  Saturday, June 21
No lecture scheduled.
  Sunday, June 22
No lecture scheduled.
  Monday, June 23
8:30am-9:00am Coffee   Lind Hall 400
9:00am-10:30am Phase resetting, weak coupling G. Bard Ermentrout (University of Pittsburgh) Lind Hall 409
10:30am-11:00am Coffee   Lind Hall 400
11:00am-12:30pm Phase resetting, weak coupling G. Bard Ermentrout (University of Pittsburgh) Lind Hall 409
12:30pm-2:00pm Lunch    
2:00pm-3:00pm Cortical rhythms Christoph Borgers (Tufts University) Lind Hall 409
3:30pm-4:30pm Cortical Rhythms Christoph Borgers (Tufts University) Lind Hall 409
  Tuesday, June 24
8:30am-9:00am Coffee   Lind Hall 400
9:00am-10:30am Noise correlations Brent Doiron (University of Pittsburgh) Lind Hall 409
10:30am-11:00am Coffee   Lind Hall 400
11:00am-12:30pm Noise correlations Brent Doiron (University of Pittsburgh) Lind Hall 409
12:30pm-2:00pm Lunch    
2:00pm-3:00pm Information theory/population coding Duane Nykamp (University of Minnesota) Lind Hall 409
3:00pm-3:30pm Coffee   Lind Hall 400
3:30pm-4:30pm Information theory/population coding Duane Nykamp (University of Minnesota) Lind Hall 409
7:30pm-8:30pm Public lecture: Toys! Toys! Toys! The dynamics of some curious toys G. Bard Ermentrout (University of Pittsburgh) EE/CS 3-180
  Wednesday, June 25
8:30am-9:00am Coffee   Lind Hall 400
9:00am-10:30am Synapses and plasticity Jonathan E. Rubin (University of Pittsburgh) Lind Hall 409
10:30am-11:00am Coffee   Lind Hall 400
11:00am-12:30pm Synapses and plasticity Jonathan E. Rubin (University of Pittsburgh) Lind Hall 409
12:30pm-2:00pm Lunch    
2:00pm-3:00pm Inverse problems Steven J. Cox (Rice University) Lind Hall 409
3:00pm-3:30pm Coffee   Lind Hall 400
3:30pm-4:30pm Inverse problems Steven J. Cox (Rice University) Lind Hall 409
6:30pm-8:30pm Workshop dinner at Caspian Bistro   Caspian Bistro
2418 University Ave SE
Minneapolis, MN 55414
612-623-1133 
  Thursday, June 26
8:30am-9:00am Coffee   Lind Hall 400
9:00am-10:30am Waves, Evans functions, spatial models G. Bard Ermentrout (University of Pittsburgh) Lind Hall 409
10:30am-11:00am Coffee   Lind Hall 400
11:00am-12:30pm Waves, Evans functions, spatial models Jonathan E. Rubin (University of Pittsburgh) Lind Hall 409
12:30pm-2:00pm Lunch    
2:00pm-3:00pm Waves, Evans functions, spatial models Jonathan E. Rubin (University of Pittsburgh) Lind Hall 409
3:00pm-3:30pm Coffee   Lind Hall 400
3:30pm-4:30pm Waves, Evans functions, spatial models G. Bard Ermentrout (University of Pittsburgh) Lind Hall 409
  Friday, June 27
8:30am-9:00am Coffee   Lind Hall 400
9:00am-10:30am Development, pattern formation G. Bard Ermentrout (University of Pittsburgh) Lind Hall 409
10:30am-11:00am Coffee   Lind Hall 400
11:00am-12:30pm Development, pattern formation Jonathan E. Rubin (University of Pittsburgh) Lind Hall 409

LIST OF CONFIRMED PARTICIPANTS

NameDepartmentAffiliation
Lorna Saldua AlmoceraDepartment of Natural Sciences and Mathematics Division University of the Philippines, Cebu College
Christoph BorgersDepartment of Mathematics Tufts University
Adela Nicoleta ComaniciInstitute of Comparative Medicine University of Glasgow
Steven J. CoxDepartment of Computational and Applied Mathematics Rice University
Robert DeVilleDepartment of Mathematics University of Illinois at Urbana-Champaign
Brent DoironDepartment of Mathematics University of Pittsburgh
Srabasti DuttaDepartment of Mathematics College of Saint Elizabeth
G. Bard ErmentroutDepartment of Mathematics University of Pittsburgh
Jose D. FloresDepartment of Mathematics University of South Dakota
Winston GariraDepartment of Mathematics and Applied Mathematics University of Venda for Science and Technology
Esfandiar HaghverdiSchool of Informatics Indiana University
Song-Hwa KwonDepartment of Mathematics Seoul National University
Namyong LeeDepartment of Mathematics Minnesota State University
Maria LeiteDepartment of Mathematics Purdue University
Gregory LyngDepartment of Mathematics University of Wyoming
Alexandre L. MadureiraDepartment of Applied and Computational Mathematics Laboratorio Nacional de Computacao Cientifica
Hil MeijerDepartment of Electrical Engineering, Mathematics and Computer Science Universiteit Twente
Ken MillerCenter for Theoretical Neuroscience Columbia University
Rennie MirolloDepartment of Mathematics Boston College
Theoden NetoffDepartment of Biomedical Engineering University of Minnesota
Duane NykampSchool of Mathematics University of Minnesota
Norma Leticia Ortiz Virginia Commonwealth University
Bobby PhilipComputer and Computational Sciences Division Los Alamos National Laboratory
Angela Slavova PopivanovaDepartment of Mathematical Physics Bulgarian Academy of Sciences
Zoi RaptiDepartment of Mathematics University of Illinois at Urbana-Champaign
A. David RedishDepartment of Neuroscience University of Minnesota
David Kenneth RollinsDepartment of Mathematics University of Central Florida
Jonathan E. RubinDepartment of Mathematics University of Pittsburgh
Liejune ShiauDepartment of Mathematics University of Houston-Clear Lake
Patrick Daniel ShipmanDepartment of Mathematics University of Maryland
Allan StruthersDepartment of Mathematical Sciences Michigan Technological University
Je-Chiang TsaiDepartment of Mathematics National Chung Cheng University
Bixiang WangDepartment of Mathematics New Mexico Institute of Mining and Technology (New Mexico Tech)
Kelly WeiDepartment of Neuromodulation Medtronic
Xuming XieDepartment of Mathematics Morgan State University