- Title
- Cumulative signal transmission in nonlinear reaction-diffusion networks
- Creator
- Oyarzun, Diego A.; Lopez-Caamal, Fernando; Garcia, Miriam R.; Middleton, Richard H.; Weisse, Andrea Y.
- Relation
- PL o S One Vol. 8, Issue 5
- Publisher Link
- http://dx.doi.org/10.1371/journal.pone.0062834
- Publisher
- Public Library of Science
- Resource Type
- journal article
- Date
- 2013
- Description
- Quantifying signal transmission in biochemical systems is key to uncover the mechanisms that cells use to control their responses to environmental stimuli. In this work we use the time-integral of chemical species as a measure of a network’s ability to cumulatively transmit signals encoded in spatiotemporal concentrations. We identify a class of nonlinear reaction-diffusion networks in which the time-integrals of some species can be computed analytically. The derived time-integrals do not require knowledge of the solution of the reaction-diffusion equation, and we provide a simple graphical test to check if a given network belongs to the proposed class. The formulae for the time-integrals reveal how the kinetic parameters shape signal transmission in a network under spatiotemporal stimuli. We use these to show that a canonical complex-formation mechanism behaves as a spatial low-pass filter, the bandwidth of which is inversely proportional to the diffusion length of the ligand.
- Subject
- chemical equilibrium; graphs; network analysis; differential equations; biochemical systems
- Identifier
- http://hdl.handle.net/1959.13/1049385
- Identifier
- uon:15027
- Identifier
- ISSN:1932-6203
- Language
- eng
- Full Text
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