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author Xiaoru Xue
Chuan Xue
Min Tang
author_facet Xiaoru Xue
Chuan Xue
Min Tang
author_sort Xiaoru Xue
collection DOAJ
description Recent experiments showed that engineered Escherichia coli colonies grow and self-organize into periodic stripes with high and low cell densities in semi-solid agar. The stripes develop sequentially behind a radially propagating colony front, similar to the formation of many other periodic patterns in nature. These bacteria were created by genetically coupling the intracellular chemotaxis pathway of wild-type cells with a quorum sensing module through the protein CheZ. In this paper, we develop multiscale models to investigate how this intracellular pathway affects stripe formation. We first develop a detailed hybrid model that treats each cell as an individual particle and incorporates intracellular signaling via an internal ODE system. To overcome the computational cost of the hybrid model caused by the large number of cells involved, we next derive a mean-field PDE model from the hybrid model using asymptotic analysis. We show that this analysis is justified by the tight agreement between the PDE model and the hybrid model in 1D simulations. Numerical simulations of the PDE model in 2D with radial symmetry agree with experimental data semi-quantitatively. Finally, we use the PDE model to make a number of testable predictions on how the stripe patterns depend on cell-level parameters, including cell speed, cell doubling time and the turnover rate of intracellular CheZ.
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spelling doaj.art-de1cd63d503e4b7cb531d4d7e93610022025-02-27T05:31:26ZengPublic Library of Science (PLoS)PLoS Computational Biology1553-734X1553-73582018-06-01146e100617810.1371/journal.pcbi.1006178The role of intracellular signaling in the stripe formation in engineered Escherichia coli populations.Xiaoru XueChuan XueMin TangRecent experiments showed that engineered Escherichia coli colonies grow and self-organize into periodic stripes with high and low cell densities in semi-solid agar. The stripes develop sequentially behind a radially propagating colony front, similar to the formation of many other periodic patterns in nature. These bacteria were created by genetically coupling the intracellular chemotaxis pathway of wild-type cells with a quorum sensing module through the protein CheZ. In this paper, we develop multiscale models to investigate how this intracellular pathway affects stripe formation. We first develop a detailed hybrid model that treats each cell as an individual particle and incorporates intracellular signaling via an internal ODE system. To overcome the computational cost of the hybrid model caused by the large number of cells involved, we next derive a mean-field PDE model from the hybrid model using asymptotic analysis. We show that this analysis is justified by the tight agreement between the PDE model and the hybrid model in 1D simulations. Numerical simulations of the PDE model in 2D with radial symmetry agree with experimental data semi-quantitatively. Finally, we use the PDE model to make a number of testable predictions on how the stripe patterns depend on cell-level parameters, including cell speed, cell doubling time and the turnover rate of intracellular CheZ.https://storage.googleapis.com/plos-corpus-prod/10.1371/journal.pcbi.1006178/2/pcbi.1006178.pdf?X-Goog-Algorithm=GOOG4-RSA-SHA256&X-Goog-Credential=wombat-sa%40plos-prod.iam.gserviceaccount.com%2F20210222%2Fauto%2Fstorage%2Fgoog4_request&X-Goog-Date=20210222T172104Z&X-Goog-Expires=3600&X-Goog-SignedHeaders=host&X-Goog-Signature=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
spellingShingle Xiaoru Xue
Chuan Xue
Min Tang
The role of intracellular signaling in the stripe formation in engineered Escherichia coli populations.
PLoS Computational Biology
title The role of intracellular signaling in the stripe formation in engineered Escherichia coli populations.
title_full The role of intracellular signaling in the stripe formation in engineered Escherichia coli populations.
title_fullStr The role of intracellular signaling in the stripe formation in engineered Escherichia coli populations.
title_full_unstemmed The role of intracellular signaling in the stripe formation in engineered Escherichia coli populations.
title_short The role of intracellular signaling in the stripe formation in engineered Escherichia coli populations.
title_sort role of intracellular signaling in the stripe formation in engineered escherichia coli populations
url https://storage.googleapis.com/plos-corpus-prod/10.1371/journal.pcbi.1006178/2/pcbi.1006178.pdf?X-Goog-Algorithm=GOOG4-RSA-SHA256&X-Goog-Credential=wombat-sa%40plos-prod.iam.gserviceaccount.com%2F20210222%2Fauto%2Fstorage%2Fgoog4_request&X-Goog-Date=20210222T172104Z&X-Goog-Expires=3600&X-Goog-SignedHeaders=host&X-Goog-Signature=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