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  Department:    Mathematics - Web

    Full list of Departments at the bottom of the page


John Guckenheimer
    (WEB PAGE)
jmg16 @ cornell.edu
565 Malott Hall      607-255-8290
  [edit]

Faculty associated with: Robert Clewley

Keywords: Computational Neuroscience (13), Mathematical Modeling (14), Motor Systems (13), Mouse (11), Neuromodulation (12)

My research is a blend of theoretical investigation, development of computer methods and studies of nonlinear systems that arise in diverse fields of science and engineering. My current work focuses upon the dynamics of systems with multiple time scales, algorithm development for problems involving periodic orbits and upon applications to the neurosciences, animal locomotion and control of nonlinear systems. I have a long standing collaboration with Ron Harris-Warrick and his laboratory. A new joint project is devoted to the development and anlysis of mathematical models for networks in the mouse spinal cord that control hindlimb locomotion. I am also part of a multi-university reserach program that is studying cockroach locomotion and its neuromuscular control.


Robert Clewley
    (WEB PAGE)
rhc28 @ cornell.edu
657 Rhodes Hall      607-255-7760
  [edit]

Post-Doc associated with: John Guckenheimer,   Francisco J Valero-Cuevas

Keywords: Computational Neuroscience (13), Hippocampus (11), Learning and Memory (13), Mathematical Modeling (14), Motor Systems (13), Sensorimotor Systems (11), Systems Neuroscience (25)

Mathematical and computational tools for development and analysis of dynamical models for integrated neural / motor systems. We represent physiological systems using Dynamical Systems Theory. We use Hodgkin-Huxley-type membrane equations for neurons, and standard rigid body dynamics for the mechanics of locomotion. Applications at Cornell include feedback control of finger movement (with Francisco Valero-Cuevas), and insect locomotion (with John Guckenheimer).




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Please report corrections, questions, comments, and problems to: Lori Miller (lmm8 AT cornell.edu)