Abstract
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.
Original language | English |
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Title of host publication | Proceedings of the 18th European Control Conference (ECC 2019) |
Place of Publication | Pisacataway, NJ, USA |
Publisher | IEEE |
Pages | 692-697 |
ISBN (Electronic) | 978-3-907144-00-8 |
DOIs | |
Publication status | Published - 2019 |
Event | ECC 2019: 18th European Control Conference - Napoli, Italy Duration: 25 Jun 2019 → 28 Jun 2019 |
Conference
Conference | ECC 2019: 18th European Control Conference |
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Country/Territory | Italy |
City | Napoli |
Period | 25/06/19 → 28/06/19 |