- 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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