Abstract
We show how subtraction can be performed via a simple chemical reaction network that includes molecular sequestration. The network computes the difference between the production rate parameters of the two mutually sequestering species. We benefit from introducing a simple change of variables, that facilitates the derivation of an approximate solution for the differential equations modeling the chemical reaction network, under a time scale separation assumption that is valid when the sequestration rate parameter is sufficiently fast. Our main result is that we provide simple expressions confirming that temporal subtraction occurs when the inputs are constant or time varying. Through simulations, we discuss two sequestration-based architectures for feedback control in light of the subtraction operations they perform.
Competing Interest Statement
The authors have declared no competing interest.
Footnotes
This work has been partially supported by the BBRSC-NSF/BIO award 2020039 and by NSF CCF/SHF award 2107483 to EF
efranco{at}seas.ucla.edu, ccubasam{at}g.ucla.edu
qian9{at}wisc.edu
We simplified the model to make the derivations simpler.
https://ieeexplore.ieee.org/document/10180067/authors#authors