Development of a restricted state space stochastic differential equation model for bacterial growth in rich media

Publication: Research - peer-reviewJournal article – Annual report year: 2012

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@article{03ad8ce252d9432eb1fb77b31a339c6c,
title = "Development of a restricted state space stochastic differential equation model for bacterial growth in rich media",
publisher = "Academic Press",
author = "Møller, {Jan Kloppenborg} and Philipsen, {Kirsten Riber} and Christiansen, {Lasse Engbo} and Henrik Madsen",
year = "2012",
doi = "10.1016/j.jtbi.2012.04.015",
volume = "305",
pages = "78--87",
journal = "Journal of Theoretical Biology",
issn = "0022-5193",

}

RIS

TY - JOUR

T1 - Development of a restricted state space stochastic differential equation model for bacterial growth in rich media

A1 - Møller,Jan Kloppenborg

A1 - Philipsen,Kirsten Riber

A1 - Christiansen,Lasse Engbo

A1 - Madsen,Henrik

AU - Møller,Jan Kloppenborg

AU - Philipsen,Kirsten Riber

AU - Christiansen,Lasse Engbo

AU - Madsen,Henrik

PB - Academic Press

PY - 2012

Y1 - 2012

N2 - In the present study, bacterial growth in a rich media is analysed in a Stochastic Differential Equation (SDE) framework. It is demonstrated that the SDE formulation and smoothened state estimates provide a systematic framework for data driven model improvements, using random walk hidden states. Bacterial growth is limited by the available substrate and the inclusion of diffusion must obey this natural restriction. By inclusion of a modified logistic diffusion term it is possible to introduce a diffusion term flexible enough to capture both the growth phase and the stationary phase, while concentration is restricted to the natural state space (substrate and bacteria non-negative). The case considered is the growth of Salmonella and Enterococcus in a rich media. It is found that a hidden state is necessary to capture the lag phase of growth, and that a flexible logistic diffusion term is needed to capture the random behaviour of the growth model. Further, it is concluded that the Monod effect is not needed to capture the dynamics of bacterial growth in the data presented.

AB - In the present study, bacterial growth in a rich media is analysed in a Stochastic Differential Equation (SDE) framework. It is demonstrated that the SDE formulation and smoothened state estimates provide a systematic framework for data driven model improvements, using random walk hidden states. Bacterial growth is limited by the available substrate and the inclusion of diffusion must obey this natural restriction. By inclusion of a modified logistic diffusion term it is possible to introduce a diffusion term flexible enough to capture both the growth phase and the stationary phase, while concentration is restricted to the natural state space (substrate and bacteria non-negative). The case considered is the growth of Salmonella and Enterococcus in a rich media. It is found that a hidden state is necessary to capture the lag phase of growth, and that a flexible logistic diffusion term is needed to capture the random behaviour of the growth model. Further, it is concluded that the Monod effect is not needed to capture the dynamics of bacterial growth in the data presented.

KW - Stochastic differentialequations

KW - Logistic diffusion

KW - Monod growth

KW - Rich media

KW - Enterococcus

KW - Salmonella

U2 - 10.1016/j.jtbi.2012.04.015

DO - 10.1016/j.jtbi.2012.04.015

JO - Journal of Theoretical Biology

JF - Journal of Theoretical Biology

SN - 0022-5193

VL - 305

SP - 78

EP - 87

ER -