CUED Publications database

Event triggered signalling codecs for molecular estimation

Parag, K and Vinnicombe, G (2013) Event triggered signalling codecs for molecular estimation. In: UNSPECIFIED pp. 256-261..

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Low molecule numbers and intrinsically noisy, coupled stochastic chemical reactions are common in cell biology. For such environments, [12] showed that the accuracy with which molecular populations can be estimated and controlled can be bounded from below by regarding molecular coupling as an information transfer across a finite capacity Poisson channel. In conjunction with a diffusion approximation for the target species, this leads to a clear distortion bound for arbitrary signal-target molecular coupling. For static signal-target coupling, sharp, biologically relevant bounds result, which appear to still hold for the original discrete system. However, when arbitrary non-linear, dynamic coupling is allowed, [13] showed that event-triggered codecs can be constructed that are capable of outperforming the general diffusion bound, both for estimation and control. This paper extends the estimation results from [13] to various molecular signalling topologies and integer encoders. It is found that the bound can be outperformed across all serial and parallel networks by a M|M|1 queue type codec, which is likely optimal for a single stage, over a small parameter regime. Outside this regime queueing delay leads to increasingly worse estimation. The applicatio n of integer coding variants in an attempt to improve stability and increase the regime of good performance is largely fruitless, thus indicating that even the simplest non-trivial estimation problem cannot be solved with intuitively sensible codecs. © 2013 IEEE.

Item Type: Conference or Workshop Item (UNSPECIFIED)
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 17 Jul 2017 19:16
Last Modified: 22 May 2018 07:37