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arXiv · 2111.08508

Stochastic dynamics of chemotactic colonies with logistic growth

Riccardo Ben Alì Zinati·Charlie Duclut·Saeed Mahdisoltani·Andrea Gambassi·Ramin Golestanian
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Abstract

The interplay between cellular growth and cell-cell signaling is essential for the aggregation and proliferation of bacterial colonies, as well as for the self-organization of cell tissues. To investigate this interplay, we focus here on the collective properties of dividing chemotactic cell colonies by studying their long-time and large-scale dynamics through a renormalization group (RG) approach. The RG analysis reveals that a relevant but unconventional chemotactic interaction -- corresponding to a polarity-induced mechanism -- is generated by fluctuations at macroscopic scales, even when an underlying mechanism is absent at the microscopic level. This emerges from the interplay of the well-known Keller--Segel (KS) chemotactic nonlinearity and cell birth and death processes. At one-loop order, we find no stable fixed point of the RG flow equations. We discuss a connection between the dynamics investigated here and the celebrated Kardar--Parisi--Zhang (KPZ) equation with long-range correlated noise, which points at the existence of a strong-coupling, nonperturbative fixed point.

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Riccardo Ben Alì Zinati, Charlie Duclut, Saeed Mahdisoltani, Andrea Gambassi, Ramin Golestanian. 2021-11-16. Stochastic dynamics of chemotactic colonies with logistic growth. https://doi.org/10.1209/0295-5075%2Fac48c9

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