title: Stochastic modelling and control of antibiotic subtilin production.
abstract: A stochastic hybrid model for the production of the antibiotic subtilin by the Bacillus subtilis is investigated. This model consists of 5 variables with four possible discrete dynamical states and this high dimensionality represents a bottleneck for using statistical tools that require to solve the corresponding Fokker-Planck problem. For this reason, a suitable reduced model with 3 variables and two dynamical states is proposed. The corresponding Fokker-Planck hyperbolic system is used to validate the evolution statistics and to construct a robust feedback control strategy to increase subtilin production. Results of numerical experiments are presented that show the effectiveness of the proposed control scheme.
authors.affiliation: Institut für Mathematik, Universität Würzburg, Emil-Fischer-Strasse 30, 97074, Würzburg, Germany.
authors.forename: V
authors.initials: V
authors.lastname: Thalhofer
authors.affiliation: Dipartimento di Matematica, Università degli Studi di Salerno, Via Giovanni Paolo II, 132 - 84084, Fisciano, Italy. mannunzi@unisa.it.
authors.forename: M
authors.initials: M
authors.lastname: Annunziato
authors.affiliation: Institut für Mathematik, Universität Würzburg, Emil-Fischer-Strasse 30, 97074, Würzburg, Germany.
authors.forename: A
authors.initials: A
authors.lastname: Borzì
mesh_terms: D000900:Anti-Bacterial Agents / Q000096:biosynthesis; D001412:Bacillus subtilis / Q000502:physiology*; D001430:Bacteriocins / Q000096:biosynthesis*; D008954:Models, Biological
chemical_list: D000900:Anti-Bacterial Agents; D001430:Bacteriocins; C002836:subtilin
keywords: Optimal control antibiotic production; Stochastic hybrid biology modelling; Subtilin antibiotic
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