Stochastic Modeling of in vitro Bactericidal Potency

Bogdanov, Anita and Kevei, Péter and Szalai, Máté and Virók, Dezső (2022) Stochastic Modeling of in vitro Bactericidal Potency. BULLETIN OF MATHEMATICAL BIOLOGY : A JOURNAL DEVOTED TO RESEARCH AT THE INTERFACE OF THE LIFE AND MATHEMATICAL SCIENCES. pp. 1-20. ISSN 0092-8240 (print); 1522-9602 (online) (Submitted)


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We provide a Galton–Watson model for the growth of a bacterial population in the presence of antibiotics. We assume that bacterial cells either die or duplicate, and the corresponding probabilities depend on the concentration of the antibiotic. Assuming that the mean offspring number is given by m(c) = 2/(1 + αcβ) for some α, β, where c stands for the antibiotic concentration we obtain weakly consistent, asymptotically normal estimator both for (α, β) and for the minimal inhibitory concentration (MIC), a relevant parameter in pharmacology. We apply our method to real data, where Chlamydia trachomatis bacteria was treated by azithromycin and ciprofloxacin. For the measurements of Chlamydia growth quantitative PCR technique was used. The 2-parameter model fits remarkably well to the biological data.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika
R Medicine / orvostudomány > RS Pharmacy and materia medica / gyógyszerészet, gyógyászati eszközök
Depositing User: MTMT SWORD
Date Deposited: 13 Sep 2022 06:54
Last Modified: 27 Apr 2023 08:55

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