2017
DOI: 10.1103/physreve.96.052403
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Spreading of nonmotile bacteria on a hard agar plate: Comparison between agent-based and stochastic simulations

Abstract: We study spreading of a non-motile bacteria colony on a hard agar plate by using agent-based and continuum models. We show that the spreading dynamics depends on the initial nutrient concentration, the motility and the inherent demographic noise. Population fluctuations are inherent in an agent based model whereas, for the continuum model we model them by using a stochastic Langevin equation. We show that the intrinsic population fluctuations coupled with non-linear diffusivity lead to a transition from Diffus… Show more

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Cited by 14 publications
(31 citation statements)
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References 50 publications
(102 reference statements)
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“…We assume that cells interact mechanically through repulsive interaction which is in accordance with the Hertzian theory of elastic contact. We adopt the same functional form of F rf as employed in previous studies [23,24,41,42] and is given by:…”
Section: Simulation Model and Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…We assume that cells interact mechanically through repulsive interaction which is in accordance with the Hertzian theory of elastic contact. We adopt the same functional form of F rf as employed in previous studies [23,24,41,42] and is given by:…”
Section: Simulation Model and Methodsmentioning
confidence: 99%
“…We assume that cells interact mechanically through repulsive interaction which is in accordance with the Hertzian theory of elastic contact. We adopt the same functional form of F rf as employed in previous studies [23, 24, 41, 42] and is given by: , where E represents the elastic modulus of the cells and h corresponds to the overlap between two interacting cells. Figure 1(b) schematically demonstrates the repulsive mechanical interaction between two bacteria where h = d 0 — r 0 and r 0 is the closest distance of approach between the two rod-shaped cells.…”
Section: Simulation Model and Methodsmentioning
confidence: 99%
“…To understand these factors, we carry out a parallel investigation of three simple well-studied models with different reaction dynamics [18][19][20][21][22]. We will show that, although for equal-diffusivity cases with no selective advantage all the models have similar statistical behavior, a slight imbalance in either the diffusivity or the selective advantage dramatically alters the outcome.…”
Section: Introductionmentioning
confidence: 96%
“…To understand these factors, we carry out a parallel study of three simple well-studied models with different reaction dynamics [13][14][15][16][17]. The models show very different behavior, as evidenced by Fig.…”
mentioning
confidence: 99%
“…Indeed, several models have been introduced in the literature [16][17][18], e.g. to investigate biofilm jamming [19], nematic ordering [20,21], role of psl trails [22], nutrient concentration [23], phase separation [24], front propagation [25].…”
mentioning
confidence: 99%