FN Archimer Export Format
PT J
TI Optimal feedback strategies for bacterial growth with degradation, recycling, and effect of temperature
BT 
AF YEGOROV, Ivan
   MAIRET, Francis
   GOUZE, Jean-Luc
AS 1:1;2:2;3:1;
FF 1:;2:PDG-RBE-BRM-LPBA;3:;
C1 UPMC Univ Paris 06, Univ Cote dAzur, CNRS, Inria,INRA,BIOCORE Team, F-06902 Sophia Antipolis, France.
   IFREMER PBA, Nantes, France.
C2 UNIV PARIS 06, FRANCE
   IFREMER, FRANCE
SI NANTES
SE PDG-RBE-BRM-LPBA
IN WOS Ifremer jusqu'en 2018
   copubli-france
   copubli-univ-france
IF 1.452
TC 12
UR https://archimer.ifremer.fr/doc/00434/54592/56057.pdf
LA English
DT Article
DE ;bacterial growth;chattering regime;effect of temperature;feedback strategy;optimal control;Pontryagin's maximum principle;protein degradation;recycling;resource allocation;singular regime;switching curve
AB Mechanisms of bacterial adaptation to environmental changes are of great interest for both fundamental biology and engineering applications. In this work, we consider a continuous-time dynamic problem of resource allocation between metabolic and gene expression machineries for a self-replicating prokaryotic cell population. In compliance with evolutionary principles, the criterion is to maximize the accumulated structural biomass. In the model, we include both the degradation of proteins into amino acids and the recycling of the latter (ie, using as precursors again). On the basis of the analytical investigation of our problem by Pontryagin's maximum principle, we develop a numerical method to approximate the switching curve of the optimal feedback control strategy. The obtained field of extremal state trajectories consists of chattering arcs and 1 steady-state singular arc. The constructed feedback control law can serve as a benchmark for comparing actual bacterial strategies of resource allocation. We also study the influence of temperature, whose increase intensifies protein degradation. While the growth rate suddenly decreases with the increase in temperature in a certain range, the optimal control synthesis appears to be essentially less sensitive. 
PY 2018
PD MAR
SO Optimal Control Applications & Methods
SN 0143-2087
PU Wiley
VL 39
IS 2
UT 000427136800042
BP 1084
EP 1109
DI 10.1002/oca.2398
ID 54592
ER

EF