Optimal control of protein copy number

Steven Blaber and David A. Sivak
Phys. Rev. E 101, 022118 – Published 18 February 2020

Abstract

Cell-cell communication is often achieved by secreted signaling molecules that bind membrane-bound receptors. A common class of such receptors are G-protein coupled receptors, where extracellular binding induces changes on the membrane affinity near the receptor for certain cytosolic proteins, effectively altering their chemical potential. We analyze the minimum-dissipation schedules for dynamically changing chemical potential to induce steady-state changes in protein copy-number distributions, and illustrate with analytic solutions for linear chemical reaction networks. Protocols that change chemical potential on biologically relevant timescales are experimentally accessible using optogenetic manipulations, and our framework provides nontrivial predictions about functional dynamical cell-cell interactions.

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  • Received 3 October 2018
  • Revised 19 December 2019
  • Accepted 16 January 2020

DOI:https://doi.org/10.1103/PhysRevE.101.022118

©2020 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & ThermodynamicsPhysics of Living Systems

Authors & Affiliations

Steven Blaber1,2 and David A. Sivak1,*

  • 1Department of Physics, Simon Fraser University, Burnaby, British Columbia V5A 1S6, Canada
  • 2Department of Physics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada

  • *dsivak@sfu.ca

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Vol. 101, Iss. 2 — February 2020

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