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Remarks on feedforward circuits, adaptation, and pulse memory
1Rutgers University, Department of Mathematics, New Brunswick, NJ 08903, USA. sontag@math.rutgers.edu
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.
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