Minimal time problem for a chemostat model with growth rate of Haldane type

2014 ◽  
Author(s):  
Terence Bayen ◽  
Jerome Harmand
Keyword(s):  
Growth Rate ◽  
Chemostat Model ◽  
Minimal Time ◽  
Time Problem ◽  
Minimal Time Problem

scholarly journals Optimality conditions for the minimal time problem for Complementarity Systems

2019 ◽  
Vol 52 (16) ◽  
pp. 239-244
Author(s):  
A. Vieira ◽  
B. Brogliato ◽  
C. Prieur
Keyword(s):  
Optimality Conditions ◽  
Minimal Time ◽  
Time Problem ◽  
Minimal Time Problem

On unified stability for a class of chemostat model with generic growth rate functions: Maximum yield as control goal

2019 ◽  
Vol 77 ◽  
pp. 61-75 ◽  
Author(s):  
L.F. Calderón-Soto ◽  
E.J. Herrera-López ◽  
G. Lara-Cisneros ◽  
R. Femat
Keyword(s):  
Growth Rate ◽  
Maximum Yield ◽  
Chemostat Model ◽  
Control Goal ◽  
Rate Functions

scholarly journals Compiling a Molecular Inventory for Mycobacterium bovis BCG at Two Growth Rates: Evidence for Growth Rate-Mediated Regulation of Ribosome Biosynthesis and Lipid Metabolism

2005 ◽  
Vol 187 (5) ◽  
pp. 1677-1684 ◽  
Author(s):  
D. J. V. Beste ◽  
J. Peters ◽  
T. Hooper ◽  
C. Avignone-Rossa ◽  
M. E. Bushell ◽  
...  
Keyword(s):  
Growth Rate ◽  
Mycobacterium Bovis ◽  
Growth Rates ◽  
Doubling Time ◽  
Model Organism ◽  
Experimental System ◽  
Carbon Limitation ◽  
Specific Response ◽  
Chemostat Model ◽  
Mycobacterial Cell

ABSTRACT An experimental system of Mycobacterium tuberculosis growth in a carbon-limited chemostat has been established by the use of Mycobacterium bovis BCG as a model organism. For this model, carbon-limited chemostats with low concentrations of glycerol were used to simulate possible growth rates during different stages of tuberculosis. A doubling time of 23 h (D = 0.03 h−1) was adopted to represent cells during the acute phase of infection, whereas a lower dilution rate equivalent to a doubling time of 69 h (D = 0.01 h−1) was used to model mycobacterial persistence. This chemostat model allowed the specific response of the mycobacterial cell to carbon limitation at different growth rates to be elucidated. The macromolecular (RNA, DNA, carbohydrate, and lipid) and elemental (C, H, and N) compositions of the biomass were determined for steady-state cultures, revealing that carbohydrates and lipids comprised more than half of the dry mass of the BCG cell, with only a quarter of the dry weight consisting of protein and RNA. Consistent with studies of other bacteria, the specific growth rate impacts on the macromolecular content of BCG and the proportions of lipid, RNA, and protein increased significantly with the growth rate. The correlation of RNA content with the growth rate indicates that ribosome production in carbon-limited M. bovis BCG cells is subject to growth rate-dependent control. The results also clearly show that the proportion of lipids in the mycobacterial cell is very sensitive to changes in the growth rate, probably reflecting changes in the amounts of storage lipids. Finally, this study demonstrates the utility of the chemostat model of mycobacterial growth for functional genomic, physiology, and systems biology studies.

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