Analytic computation of the integrated response in nonlinear reaction-diffusion systems

F. López-Caamal, M. R. García, D. A. Oyarzún, R. H. Middleton

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract / Description of output

In this work we analytically derive the time-integral of a class of nonlinear reaction-diffusion systems commonly found in networks of biochemical reactions. This formula is inferred using the Laplacian Spectral Decomposition method, which approximates the solution of the Partial Differential Equations by a finite series capturing the most relevant dynamics. The time-integrals allow us to understand how signal transmission depends on initial and boundary conditions, spatial geometry and the turnover rates of some species.
Original languageEnglish
Title of host publication2012 IEEE 51st IEEE Conference on Decision and Control (CDC)
Number of pages6
Publication statusPublished - 1 Dec 2012
Event51st IEEE Conference on Decision and Control (CDC) - Maui, United States
Duration: 10 Dec 201213 Dec 2012


Conference51st IEEE Conference on Decision and Control (CDC)
Abbreviated titleCDC 2012
Country/TerritoryUnited States
Internet address

Keywords / Materials (for Non-textual outputs)

  • biochemistry
  • cellular biophysics
  • nonlinear systems
  • partial differential equations
  • reaction-diffusion systems
  • signal processing
  • analytic computation
  • integrated response
  • nonlinear reaction-diffusion systems
  • biochemical reaction networks
  • Laplacian spectral decomposition method
  • finite series capture
  • signal transmission
  • boundary conditions
  • spatial geometry
  • turnover rates
  • Boundary conditions
  • Vectors
  • Equations
  • Jacobian matrices
  • Laplace equations
  • Hilbert space
  • Kinetic theory


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