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The Optimal Control of an Excitable Neural Fibre

  • J. E. Rubio
  • A. V. Holden
Chapter
Part of the NATO ASI Series book series (NSSB, volume 244)

Abstract

We consider the optimal control of a neural fibre, described by a nonlinear diffusion equation with a polynomial nonlinearity. An iterative scheme is established to compute a minimum-energy control, in which at each step of the iteration a linear problem is solved by means of measure-theoretical methods and linear programming. The method converges for moderate values of the nonlinear terms. Some numerical results are given.

Keywords

Linear Problem Linear Programming Problem Radon Measure Nonlinear Diffusion Equation Suboptimal Control 
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References

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Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • J. E. Rubio
    • 1
  • A. V. Holden
    • 1
  1. 1.Departments of Mathematics and PhysiologyUniversity of LeedsLeedsUK

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