Biological systems compute spatial and temporal gradients with a variety of mechanisms, some of which have been shown to include integral feedback. In traditional engineering fields, it is well known that integral components within a negative feedback loop can be used to perform a derivative action. In this paper, we define the concept of a practical differentiator that is inspired by this design principle. We then consider three simple biological circuit examples in which we prove that feedback combined with ultrasensitive, quasi-integral components yields a practical differential network under some assumptions. These examples include phosphory-lation/dephosphorylation cycles, and two networks relying on molecular sequestration.
|Title of host publication||Proceedings of the 18th European Control Conference (ECC 2019)|
|Place of Publication||Pisacataway, NJ, USA|
|Publication status||Published - 2019|
|Event||ECC 2019: 18th European Control Conference - Napoli, Italy|
Duration: 25 Jun 2019 → 28 Jun 2019
|Conference||ECC 2019: 18th European Control Conference|
|Period||25/06/19 → 28/06/19|