Remarks on Feedforward Circuits, Adaptation, and Pulse Memory
Quantitative Methods
2009-06-07 v2
Abstract
This note studies feedforward circuits as models for perfect adaptation to step signals in biological systems. A global convergence theorem is proved in a general framework, which includes examples from the literature as particular cases. A notable aspect of these circuits is that they do not adapt to pulse signals, because they display a memory phenomenon. Estimates are given of the magnitude of this effect.
Cite
@article{arxiv.0812.0622,
title = {Remarks on Feedforward Circuits, Adaptation, and Pulse Memory},
author = {Eduardo D. Sontag},
journal= {arXiv preprint arXiv:0812.0622},
year = {2009}
}
Comments
Updates version 1; added many references, simulations, examples, and also more comments on approximate adaptation