Universal Statistical Laws for the Velocities of Collective Migrating Cells

Lin, Shao-Zhen; Chen, Pengcheng; Guan, Liu-Yuan; Shao, Yue; Hao, Yukun; Li, Qunyang; Ли, Бо; Weitz, David A.; Feng, Xi‐Qiao

doi:10.1002/adbi.202000065

Cited by 17 publications

(19 citation statements)

References 57 publications

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“…2c. Similarly, we find that cell vorticities satisfy the 1D q-Gaussian distribution 30 ( Supplementary Fig. 2b), (Fig.…”

Section: Experimentsupporting

confidence: 64%

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Energetics of mesoscale cell turbulence in two-dimensional monolayers

Lin

Zhang

et al. 2021

Commun Phys

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Investigation of energy mechanisms at the collective cell scale is a challenge for understanding various biological processes, such as embryonic development and tumor metastasis. Here we investigate the energetics of self-sustained mesoscale turbulence in confluent two-dimensional (2D) cell monolayers. We find that the kinetic energy and enstrophy of collective cell flows in both epithelial and non-epithelial cell monolayers collapse to a family of probability density functions, which follow the q-Gaussian distribution rather than the Maxwell–Boltzmann distribution. The enstrophy scales linearly with the kinetic energy as the monolayer matures. The energy spectra exhibit a power-decaying law at large wavenumbers, with a scaling exponent markedly different from that in the classical 2D Kolmogorov–Kraichnan turbulence. These energetic features are demonstrated to be common for all cell types on various substrates with a wide range of stiffness. This study provides unique clues to understand active natures of cell population and tissues.

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“…2c. Similarly, we find that cell vorticities satisfy the 1D q-Gaussian distribution 30 ( Supplementary Fig. 2b), (Fig.…”

Section: Experimentsupporting

confidence: 64%

“…In our previous study, we have explored the distribution statistics of the velocity field. It was found that cell velocities satisfy the 2D q-Gaussian distribution 30 ( Supplementary Fig. 2a),…”

Section: Experimentmentioning

confidence: 95%

Energetics of mesoscale cell turbulence in two-dimensional monolayers

Lin

Zhang

et al. 2021

Commun Phys

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“…[10]. as a variation in k when the PDF is fitted with the k-Gamma function in different experiments and simulations [10,33,34,59,62]. Nevertheless, since the deviation in Fig.…”

Section: Comparison With Existing Experimentsmentioning

confidence: 95%

The origin of universal cell shape variability in a confluent epithelial monolayer

Sadhukhan

Nandi

2021

Preprint

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Cell shape is fundamental in biology. The average cell shape can influence crucial biological functions, such as cell fate and division orientation. But cell-to-cell shape variability is often regarded as noise. In contrast, recent works reveal that shape variability in diverse epithelial monolayers follows a nearly universal distribution. However, the origin and implications of this universality are unclear. Here, assuming contractility and adhesion are crucial for cell shape, characterized via aspect ratio (AR), we develop a mean-field analytical theory for shape variability. We find that a single parameter, α, containing all the system-specific details, describes the probability distribution function (PDF) of AR; this leads to a universal relation between the standard deviation and the average of AR. The PDF for the scaled AR is not strictly but almost universal. The functional form is not related to jamming, contrary to common beliefs, but a consequence of a mathematical property. In addition, we obtain the scaled area distribution, described by the parameter µ. We show that α and µ together can distinguish the effects of changing physical conditions, such as maturation, on different system properties. The theory is verified in simulations of two distinct models of epithelial monolayers and agrees well with existing experiments. We demonstrate that in a confluent monolayer, average shape determines both the shape variability and dynamics. Our results imply the cell shape variability is inevitable, where a single parameter describes both statics and dynamics and provides a framework to analyze and compare diverse epithelial systems.

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“…Um interessante estudo da migração coletiva de células (fenômeno crucial para cura de feridas, crescimento de câncer, morfogênese)é descrito em [63]. As distribuições de velocidades obtidas para uma camada multicelular de rim canino de Madin Darby (MDCK) estão exibidas na Fig.…”

Section: Sistemas Biológicosunclassified

Mecânica estatística de sistemas complexos

Tsallis

2021

Rev. Bras. Ensino Fís.

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A magnífica mecânica estatística de Boltzmann-Gibbs, amálgama de primeiros princípios e teoria de probabilidades, constitui um dos pilares da física teórica contemporânea. Entretanto, ela não se aplica a grande número dos sistemas ditos complexos, caracterizados essencialmente por um forte emaranhamento espaço-temporal de seus elementos. Revisamos aqui a proposta de generalização chamada mecânica estatística não extensiva, que emergiu em 1988. Ela está baseada em entropias não aditivas (com índice q ≠ 1), em contraste com a entropia de Boltzmann-Gibbs-von Neumann-Shannon, que é aditiva (com índice q = 1). Sua fundamentação básica, assim como aplicações selecionadas em física e fora dela, são brevemente descritas.

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Universal Statistical Laws for the Velocities of Collective Migrating Cells

Cited by 17 publications

References 57 publications

Energetics of mesoscale cell turbulence in two-dimensional monolayers

Energetics of mesoscale cell turbulence in two-dimensional monolayers

The origin of universal cell shape variability in a confluent epithelial monolayer

Mecânica estatística de sistemas complexos

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