Szalai, Máté and Kevei, Péter (2021) Estimation of in vitro bactericidal potency based on colony counting method. In: 22nd European Young Statisticians Meeting September 6-10, 2021.
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Abstract
To model the growth of a bacterial population in the presence of antibiotics we use the stochastic model from Bogdanov et al. [2]. We assume that bacterial cells either die or duplicate, with probabilities p0(c) and p2(c), where p2(c) = 1/(1 + αcβ) for some α, β, where c stands for the antibiotic concentration. Using measurements based on colony counting method we obtain weakly consistent, asymptotically normal estimator both for (α, β) and for the minimal inhibitory concentration (MIC), a relevant parameter in pharmacology.
| Item Type: | Conference or Workshop Item (Paper) |
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| Uncontrolled Keywords: | Galton–Watson process, extinction probability, asymptotically normal estimator, MIC |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| Depositing User: | Peter Kevei |
| Date Deposited: | 07 Sep 2024 11:40 |
| Last Modified: | 07 Sep 2024 11:40 |
| URI: | https://real.mtak.hu/id/eprint/204450 |
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