FN Archimer Export Format
PT J
TI Dynamical Analysis and Optimization of a Generalized Resource Allocation Model of Microbial Growth
BT 
AF YABO, Agustin G.
   CAILLAU, Jean-Baptiste
   GOUZE, Jean-Luc
   DE JONG, Hidde
   MAIRET, Francis
AS 1:1;2:2;3:1;4:3;5:4;
FF 1:;2:;3:;4:;5:PDG-ODE-PHYTOX-PHYSALG;
C1 Universite C^ote d'Azur, Inria, INRAE, CNRS, Sorbonne Universite, Biocore Team, Sophia Antipolis, France.
   Universite C^ote d'Azur, CNRS, Inria, LJAD, France
   Universite Grenoble Alpes, Inria, 38000 Grenoble, France
   Ifremer, Physiology and Biotechnology of Algae laboratory, rue de l'Ile d'Yeu, 44311 Nantes, France
C2 UNIV NICE, FRANCE
   UNIV NICE, FRANCE
   UNIV GRENOBLE ALPES, FRANCE
   IFREMER, FRANCE
SI NANTES
SE PDG-ODE-PHYTOX-PHYSALG
IN WOS Ifremer UPR
   copubli-france
   copubli-univ-france
IF 2.1
TC 2
UR https://archimer.ifremer.fr/doc/00756/86825/92314.pdf
LA English
DT Article
DE ;systems biology;bacterial growth laws;resource allocation;nutritional shifts;optimal control;turnpike
AB Gaining a better comprehension of the growth of microorganisms is a major scientific challenge, which has often been approached from a resource allocation perspective. Simple mathematical self-replicator models based on resource allocation principles have been surprisingly effective in accounting for experimental observations of the growth of microorganisms. Previous work, using a three-variable resource allocation model, predicted an optimal resource allocation scheme for the adaptation of microbial cells to a sudden nutrient change in the environment. We here propose an extended version of this model considering also proteins responsible for basic housekeeping functions, and we study their impact on predicted optimal strategies for resource allocation following changes in the environment. A full dynamical analysis of the system shows there is a single globally attractive equilibrium, which can be related to steady-state growth conditions of bacteria observed in experiments. We then explore the optimal allocation strategies using optimization and optimal control theory. We show that the solutions to this dynamical problem have a complicated structure that includes a second-order singular arc given in feedback form and characterized by (i) Fuller's phenomenon and (ii) the turnpike effect, producing a very particular asymptotic behavior towards the solution of the static optimization problem. Our work thus provides a generalized perspective on the analysis of microbial growth by means of simple self-replicator models. 
PY 2022
SO Siam Journal On Applied Dynamical Systems
SN 1536-0040
PU Siam Publications
VL 21
IS 1
UT 000759871300006
BP 137
EP 165
DI 10.1137/21M141097X
ID 86825
ER

EF