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A Fresh Approach to a Special Type of the Luria–Delbrück Distribution
- Source :
- Axioms, Vol 11, Iss 12, p 730 (2022)
- Publication Year :
- 2022
- Publisher :
- MDPI AG, 2022.
-
Abstract
- The mutant distribution that accommodates both fitness and plating efficiency is an important class of the Luria–Delbrück distribution. Practical algorithms for computing this distribution do not coincide with the theoretically most elegant ones, as existing generic methods often either produce unreliable results or freeze the computational process altogether when employed to solve real-world research problems. Exploiting properties of the hypergeometric function, this paper offers an algorithm that considerably expands the scope of application of this important class of the Luria–Delbrück distribution. An integration method is also devised to complement the novel algorithm. Asymptotic properties of the mutant probability are derived to help gauge the new algorithm. An illustrative example and simulation results provide further guidelines on the use of the new algorithm.
- Subjects :
- mutation rate
fitness
plating efficiency
hypergeometric function
Mathematics
QA1-939
Subjects
Details
- Language :
- English
- ISSN :
- 20751680
- Volume :
- 11
- Issue :
- 12
- Database :
- Directory of Open Access Journals
- Journal :
- Axioms
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.2cbc85285a24e5ba34aea46b3d9c001
- Document Type :
- article
- Full Text :
- https://doi.org/10.3390/axioms11120730