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

Title: Analytic computation of the integrated response in nonlinear reaction-diffusion systems
Creator: López-Caamal, Fernando; García, Míriam; Oyarzún, Diego A.; Middleton, Richard H.
Relation: 51st IEEE Conference on Decision and Control (CDC 2012). Proceedings of the 51st IEEE Conference on Decision and Control (Maui, HI 10-13 December, 2012) p. 1047-1052
Publisher Link: http://dx.doi.org/10.1109/CDC.2012.6426397
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Resource Type: conference paper
Date: 2012
Description: 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.
Subject: boundary conditions; vectors; equations; Jacobian matrices; Laplace equations; Hilbert space; kinetic theory
Identifier: http://hdl.handle.net/1959.13/1340541
Identifier: uon:28510
Identifier: ISBN:9781467320665
Language: eng
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