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On the Input-Output Relationship for Molecular Communications in General First-Order Chemical Reaction-Diffusion Systems
Abstract : Any general model for a molecular communication system must account for both chemical reactions and diffusion. In particular, the chemical reactions capture processes of information molecule production and detection as well as inter-symbol mitigation methods in the channel. A popular model for such reaction-diffusion systems is the reaction-diffusion master equation. In this paper, we study the statistics for the number of molecules at the receiver, yielding a stochastic input-output relationship. Our focus is on a general class of first-order reactions and linear diffusion. This class of models admits a stationary distribution for the long-term behavior. We obtain a simple Gaussian approximation for this stationary distribution by exploiting recent results characterizing the underlying deterministic reaction-diffusion system. We prove exponential rates of convergence in the underlying deterministic system and verify our approximation via stochastic simulation.
Cited literature [14 references]
https://hal.inria.fr/hal-02304088
Contributor : Malcolm Egan Connect in order to contact the contributor
Submitted on : Monday, October 7, 2019 - 2:09:37 PM
Last modification on : Wednesday, July 8, 2020 - 12:44:08 PM
Contributor : Malcolm Egan Connect in order to contact the contributor
Submitted on : Monday, October 7, 2019 - 2:09:37 PM
Last modification on : Wednesday, July 8, 2020 - 12:44:08 PM
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nanocom_2019_IO_HAL.pdf
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