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Title:

Optimal multiplicative control of bacterial quorum sensing under external enzyme impact

Document type:
Article
Author(s):
Maslovskaya, Anna; Kuttler, Christina; Chebotarev, Alexander; Kovtanyuk, Andrey
Abstract:
The use of external enzymes provides an alternative way of reducing communication in pathogenic bacteria that may lead to the degradation of their signal and the loss of their pathogeneity. The present study considers an optimal control problem for the semilinear reaction-diffusion model of bacterial quorum sensing under the impact of external enzymes. Estimates of the solution of the controlled system are obtained, on the basis of which the solvability of the extremal problem is proved and the...     »
Keywords:
Bacterial quorum sensing; signal degradation; semilinear parabolic equation; optimal control problem; optimality conditions
Journal title:
Math. Model. Nat. Phenom.
Year:
2022
Journal volume:
17
Month:
AUG 18
Language:
English
Fulltext / DOI:
doi:10.1051/mmnp/2022031
Publisher:
EDP SCIENCES S A
Print-ISSN:
0973-5348
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