Geodesic
Using multitype branching models to analyze bacterial pathogenicity
Mathematica Applicanda, Tome 48 (2020) no. 1, pp. 59-86.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

We apply multitype, continuous time, Markov branching models to study pathogenicity in E. coli, a bacterium belonging to the genus Escherichia. First, we examine briefly, the properties of multitype branching processes and we also survey some fundamental limit theorems regarding the behavior of such models under various conditions. These theorems are then applied to discrete, state dependent models, in order to analyze pathogenicity in a published clinical data set consisting of 251 strains of E. coli. We use well established methods, incorporating maximum likelihood techniques, to estimate speciation rates as well as the rates of transition between different states of the models. From the analysis, we not only derive new results, but we also verify some preexisting notions about virulent behavior in bacterial strains.
DOI : 10.14708/ma.v48i1.6465
Classification : 60B12, 60J85
Mots-clés : Markov models, branching processes, limit theorems, virulence factors, E. coli strains 
@article{10_14708_ma_v48i1_6465,
     author = {Daniah Tahir and Ingemar Kaj and Krzysztof Bartoszek and Marta Majchrzak and Pawel Parniewski and Sebastian Sakowski},
     title = {Using multitype branching models to analyze bacterial pathogenicity},
     journal = {Mathematica Applicanda},
     pages = { 59--86},
     publisher = {mathdoc},
     volume = {48},
     number = {1},
     year = {2020},
     doi = {10.14708/ma.v48i1.6465},
     language = {pl},
     url = {http://geodesic.mathdoc.fr/articles/10.14708/ma.v48i1.6465/}
}
TY  - JOUR
AU  - Daniah Tahir
AU  - Ingemar Kaj
AU  - Krzysztof Bartoszek
AU  - Marta Majchrzak
AU  - Pawel Parniewski
AU  - Sebastian Sakowski
TI  - Using multitype branching models to analyze bacterial pathogenicity
JO  - Mathematica Applicanda
PY  - 2020
SP  -  59
EP  - 86
VL  - 48
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14708/ma.v48i1.6465/
DO  - 10.14708/ma.v48i1.6465
LA  - pl
ID  - 10_14708_ma_v48i1_6465
ER  - 
%0 Journal Article
%A Daniah Tahir
%A Ingemar Kaj
%A Krzysztof Bartoszek
%A Marta Majchrzak
%A Pawel Parniewski
%A Sebastian Sakowski
%T Using multitype branching models to analyze bacterial pathogenicity
%J Mathematica Applicanda
%D 2020
%P  59-86
%V 48
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14708/ma.v48i1.6465/
%R 10.14708/ma.v48i1.6465
%G pl
%F 10_14708_ma_v48i1_6465
Daniah Tahir; Ingemar Kaj; Krzysztof Bartoszek; Marta Majchrzak; Pawel Parniewski; Sebastian Sakowski. Using multitype branching models to analyze bacterial pathogenicity. Mathematica Applicanda, Tome 48 (2020) no. 1, pp.  59-86. doi : 10.14708/ma.v48i1.6465. http://geodesic.mathdoc.fr/articles/10.14708/ma.v48i1.6465/

Cité par Sources :