Abstract
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 language | English |
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| Title of host publication | 2012 IEEE 51st IEEE Conference on Decision and Control (CDC) |
| Pages | 1047-1052 |
| Number of pages | 6 |
| DOIs | |
| Publication status | Published - 1 Dec 2012 |
| Event | 51st IEEE Conference on Decision and Control (CDC) - Maui, United States Duration: 10 Dec 2012 → 13 Dec 2012 http://www.ieeecss.org/CAB/conferences/cdc2012/ |
Conference
| Conference | 51st IEEE Conference on Decision and Control (CDC) |
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| Abbreviated title | CDC 2012 |
| Country/Territory | United States |
| City | Maui |
| Period | 10/12/12 → 13/12/12 |
| 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