Optimal allocation of building blocks between nutrient uptake systems in a microbe
UNSPECIFIED. (2002) Optimal allocation of building blocks between nutrient uptake systems in a microbe. JOURNAL OF MATHEMATICAL BIOLOGY, 44 (3). pp. 276-296. ISSN 0303-6812Full text not available from this repository.
Official URL: http://dx.doi.org/10.1007/s002850100123
A bacterial cell must distribute its molecular building, blocks among various types of nutrient uptake systems. If the microbe is to maximize its average growth rate, this allocation of building blocks must be adjusted to the environmental availabilities of the various nutrients. The adjustments can be found front growth balancing considerations. We give a full proof of optimality and uniqueness of the optimal allocation regime for multiple model of microbial growth and internal stores kinetics. This proof suggests likely candidates for optimal control regimes in the case of a snore realistic model. These candidate regimes differ with respect to the information that the cell's control system must have access to. We pay particular attention to one of the three candidates. a feedback regime based on a cellular control system that monitors only internal reserve densities. We show that allocation converges rapidly to balanced growth under this control regime.
|Item Type:||Journal Article|
|Subjects:||Q Science > QH Natural history > QH301 Biology|
|Journal or Publication Title:||JOURNAL OF MATHEMATICAL BIOLOGY|
|Number of Pages:||21|
|Page Range:||pp. 276-296|
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