A Methodology for Parameter Identification in Turing Systems

نویسندگان

  • MARCUS R. GARVIE
  • PHILIP K. MAINI
  • CATALIN TRENCHEA
چکیده

We introduce a general methodology for parameter identification in reaction-diffusion systems that display pattern formation via the mechanism of diffusion-driven instability. A Modified Discrete Optimal Control Algorithm is illustrated with the Schnakenberg and Gierer-Meinhardt reaction-diffusion systems using PDE constrained optimization techniques. A quadratic cost functional that measures the discrepancy between morphogen concentrations and target concentrations is minimized with the reaction diffusion system as a constraint. The numerical optimal control procedure efficiently and accurately estimates key parameters in the systems concerned.

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تاریخ انتشار 2009