PuSH - Publication Server of Helmholtz Zentrum München

Pérez-Velázquez, J. ; Schlicht, R.* ; Dulla, G.* ; Hense, B.A. ; Kuttler, C.* ; Lindow, S.E.*

Stochastic modeling of Pseudomonas syringae growth in the phyllosphere.

Math. Biosci. 239, 106-116 (2012)
DOI PMC
Open Access Green as soon as Postprint is submitted to ZB.
Pseudomonas syringae is a gram-negative bacterium which lives on leaf surfaces. Its growth has been described using epifluorescence microscopy and image analysis; it was found to be growing in aggregates of a wide range of sizes. We develop a stochastic model to describe aggregate distribution and determine the mechanisms generating experimental observations. We found that a logistic birth-death model with migration (time-homogeneous Markov process) provides the best description of the observed data. We discuss how to analyze the joint distribution of the numbers of aggregates of different sizes at a given time and explore how to account for new aggregates being created, that is, the joint distribution of the family size statistics conditional on the total number of aggregates. We compute the first two moments. Through simulations we examine how the model's parameters affect the aggregate size distribution and successfully explain the quantitative experimental data available. Aggregation formation is thought to be the first step towards pathogenic behavior of this bacterium; understanding aggregate size distribution would prove useful to understand the switch from epiphytic to pathogenic behavior.
Altmetric
Additional Metrics?
[➜Log in]
Edit extra informations Login
Publication type Article: Journal article
Document type Scientific Article
Corresponding Author
Keywords Pseudomonas Syringae ; Bacterial Growth ; Stochastic Models Of Bacterial Growth ; Birth-death-migration ; Logistic Growth; Epiphytic Bacterial-Populations; Leaf Surfaces; Aureobasidium-Pullulans; Migration Processes; Apple Leaves; Colonization; Immigration; Dispersal; Dynamics; Size
ISSN (print) / ISBN 0025-5564
e-ISSN 1879-3134
Journal Mathematical Biosciences
Quellenangaben Volume: 239, Issue: 1, Pages: 106-116 Article Number: , Supplement: ,
Publisher Elsevier
Non-patent literature Publications
Reviewing status Peer reviewed
Institute(s) Institute of Biomathematics and Biometry (IBB)