4.8 Article

Stripe Formation in Bacterial Systems with Density-Suppressed Motility

期刊

PHYSICAL REVIEW LETTERS
卷 108, 期 19, 页码 -

出版社

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.108.198102

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资金

  1. Hong Kong University (HKU)
  2. Research Grants Council of the HKSAR [HKU1/CRF/10, 201910]
  3. National Science Foundation [PHY-1058793]
  4. LOEWE program of the State Hessen
  5. Division Of Physics
  6. Direct For Mathematical & Physical Scien [1308264] Funding Source: National Science Foundation

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Engineered bacteria in which motility is reduced by local cell density generate periodic stripes of high and low density when spotted on agar plates. We study theoretically the origin and mechanism of this process in a kinetic model that includes growth and density-suppressed motility of the cells. The spreading of a region of immotile cells into an initially cell-free region is analyzed. From the calculated front profile we provide an analytic ansatz to determine the phase boundary between the stripe and the no-stripe phases. The influence of various parameters on the phase boundary is discussed.

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