1
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Li X, Chen B. Dynamics of multicellular swirling on micropatterned substrates. Proc Natl Acad Sci U S A 2024; 121:e2400804121. [PMID: 38900800 PMCID: PMC11214149 DOI: 10.1073/pnas.2400804121] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/13/2024] [Accepted: 05/24/2024] [Indexed: 06/22/2024] Open
Abstract
Chirality plays a crucial role in biology, as it is highly conserved and fundamentally important in the developmental process. To better understand the relationship between the chirality of individual cells and that of tissues and organisms, we develop a generalized mechanics model of chiral polarized particles to investigate the swirling dynamics of cell populations on substrates. Our analysis reveals that cells with the same chirality can form distinct chiral patterns on ring-shaped or rectangular substrates. Interestingly, our studies indicate that an excessively strong or weak individual cellular chirality hinders the formation of such chiral patterns. Our studies also indicate that there exists the influence distance of substrate boundaries in chiral patterns. Smaller influence distances are observed when cell-cell interactions are weaker. Conversely, when cell-cell interactions are too strong, multiple cells tend to be stacked together, preventing the formation of chiral patterns on substrates in our analysis. Additionally, we demonstrate that the interaction between cells and substrate boundaries effectively controls the chiral distribution of cellular orientations on ring-shaped substrates. This research highlights the significance of coordinating boundary features, individual cellular chirality, and cell-cell interactions in governing the chiral movement of cell populations and provides valuable mechanics insights into comprehending the intricate connection between the chirality of single cells and that of tissues and organisms.
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Affiliation(s)
- Xi Li
- Department of Engineering Mechanics, Zhejiang University, Hangzhou310027, People’s Republic of China
| | - Bin Chen
- Department of Engineering Mechanics, Zhejiang University, Hangzhou310027, People’s Republic of China
- Key Laboratory of Soft Machines and Smart Devices of Zhejiang Province, Zhejiang University, Hangzhou310027, People’s Republic of China
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2
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Yin X, Liu YQ, Zhang LY, Liang D, Xu GK. Emergence, Pattern, and Frequency of Spontaneous Waves in Spreading Epithelial Monolayers. NANO LETTERS 2024; 24:3631-3637. [PMID: 38466240 DOI: 10.1021/acs.nanolett.3c04876] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 03/12/2024]
Abstract
A striking phenomenon of collective cell motion is that they can exhibit a spontaneously emerging wave during epithelia expansions. However, the fundamental mechanism, governing the emergence and its crucial characteristics (e.g., the eigenfrequency and the pattern), remains an enigma. By introducing a mechanochemical feedback loop, we develop a highly efficient discrete vertex model to investigate the spatiotemporal evolution of spreading epithelia. We find both numerically and analytically that expanding cell monolayers display a power-law dependence of wave frequency on the local heterogeneities (i.e., cell density) with a scaling exponent of -1/2. Moreover, our study demonstrates the quantitative capability of the proposed model in capturing distinct X-, W-, and V-mode wave patterns. We unveil that the phase transition between these modes is governed by the distribution of active self-propulsion forces. Our work provides an avenue for rigorous quantitative investigations into the collective motion and pattern formation of cell groups.
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Affiliation(s)
- Xu Yin
- Laboratory for Multiscale Mechanics and Medical Science, Department of Engineering Mechanics, SVL, School of Aerospace Engineering, Xi'an Jiaotong University, Xi'an 710049, China
| | - Yong-Quan Liu
- Laboratory for Multiscale Mechanics and Medical Science, Department of Engineering Mechanics, SVL, School of Aerospace Engineering, Xi'an Jiaotong University, Xi'an 710049, China
| | - Li-Yuan Zhang
- School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China
| | - Dong Liang
- Laboratory for Multiscale Mechanics and Medical Science, Department of Engineering Mechanics, SVL, School of Aerospace Engineering, Xi'an Jiaotong University, Xi'an 710049, China
| | - Guang-Kui Xu
- Laboratory for Multiscale Mechanics and Medical Science, Department of Engineering Mechanics, SVL, School of Aerospace Engineering, Xi'an Jiaotong University, Xi'an 710049, China
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3
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Selvamani P, Chelakkot R, Nandi A, Inamdar MM. Emergence of Spatial Scales and Macroscopic Tissue Dynamics in Active Epithelial Monolayers. Cells Tissues Organs 2023; 213:269-282. [PMID: 37044075 DOI: 10.1159/000528501] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/05/2022] [Accepted: 11/22/2022] [Indexed: 04/14/2023] Open
Abstract
Migrating cells in tissues are often known to exhibit collective swirling movements. In this paper, we develop an active vertex model with polarity dynamics based on contact inhibition of locomotion (CIL). We show that under this dynamics, the cells form steady-state vortices in velocity, polarity, and cell stress with length scales that depend on polarity alignment rate (ζ), self-motility (v0), and cell-cell bond tension (λ). When the ratio λ/v0 becomes larger, the tissue reaches a near jamming state because of the inability of the cells to exchange their neighbors, and the length scale associated with tissue kinematics increases. A deeper examination of this jammed state provides insights into the mechanism of sustained swirl formation under CIL rule that is governed by the feedback between cell polarities and deformations. To gain additional understanding of how active forcing governed by CIL dynamics leads to large-scale tissue dynamics, we systematically coarse-grain cell stress, polarity, and motility and show that the tissue remains polar even on larger length scales. Overall, we explore the origin of swirling patterns during collective cell migration and obtain a connection between cell-level dynamics and large-scale cellular flow patterns observed in epithelial monolayers.
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Affiliation(s)
- Padmalochini Selvamani
- Center for Research in Nanotechnology and Science, Indian Institute of Technology Bombay, Mumbai, India
| | | | - Amitabha Nandi
- Department of Physics, Indian Institute of Technology Bombay, Mumbai, India
| | - Mandar M Inamdar
- Department of Civil Engineering, Indian Institute of Technology Bombay, Mumbai, India
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4
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Thiagarajan R, Inamdar MM, Riveline D. Interplay between cell height variations and planar pulsations in epithelial monolayers. THE EUROPEAN PHYSICAL JOURNAL. E, SOFT MATTER 2022; 45:49. [PMID: 35587840 DOI: 10.1140/epje/s10189-022-00201-6] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/07/2022] [Accepted: 04/21/2022] [Indexed: 06/15/2023]
Abstract
Biological tissues change their shapes through collective interactions of cells. This coordination sets length and time scales for dynamics where precision is essential, in particular during morphogenetic events. However, how these scales emerge remains unclear. Here, we address this question using the pulsatile domains observed in confluent epithelial MDCK monolayers where cells exhibit synchronous contraction and extension cycles of [Formula: see text] h duration and [Formula: see text] length scale. We report that the monolayer thickness changes gradually in space and time by more than twofold in order to counterbalance the contraction and extension of the incompressible cytoplasm. We recapitulate these pulsatile dynamics using a continuum model and show that incorporation of cell stiffness dependent height variations is critical both for generating temporal pulsations and establishing the domain size. We propose that this feedback between height and mechanics could be important in coordinating the length scales of tissue dynamics.
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Affiliation(s)
- Raghavan Thiagarajan
- Institut de Génétique et de Biologie Moléculaire et Cellulaire, Illkirch, France
- Laboratory of Cell Physics ISIS/IGBMC, CNRS, Université de Strasbourg, Strasbourg, France
- UMR7104, Centre National de la Recherche Scientifique, Illkirch, France
- U964, Institut National de la Santé et de la Recherche Médicale, Illkirch, France
| | - Mandar M Inamdar
- Department of Civil Engineering, Indian Institute of Technology Bombay, Mumbai, 400076, India.
| | - Daniel Riveline
- Institut de Génétique et de Biologie Moléculaire et Cellulaire, Illkirch, France.
- Laboratory of Cell Physics ISIS/IGBMC, CNRS, Université de Strasbourg, Strasbourg, France.
- UMR7104, Centre National de la Recherche Scientifique, Illkirch, France.
- U964, Institut National de la Santé et de la Recherche Médicale, Illkirch, France.
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5
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Gómez-Gálvez P, Anbari S, Escudero LM, Buceta J. Mechanics and self-organization in tissue development. Semin Cell Dev Biol 2021; 120:147-159. [PMID: 34417092 DOI: 10.1016/j.semcdb.2021.07.003] [Citation(s) in RCA: 9] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/24/2021] [Revised: 06/25/2021] [Accepted: 07/01/2021] [Indexed: 01/01/2023]
Abstract
Self-organization is an all-important feature of living systems that provides the means to achieve specialization and functionality at distinct spatio-temporal scales. Herein, we review this concept by addressing the packing organization of cells, the sorting/compartmentalization phenomenon of cell populations, and the propagation of organizing cues at the tissue level through traveling waves. We elaborate on how different theoretical models and tools from Topology, Physics, and Dynamical Systems have improved the understanding of self-organization by shedding light on the role played by mechanics as a driver of morphogenesis. Altogether, by providing a historical perspective, we show how ideas and hypotheses in the field have been revisited, developed, and/or rejected and what are the open questions that need to be tackled by future research.
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Affiliation(s)
- Pedro Gómez-Gálvez
- Instituto de Biomedicina de Sevilla (IBiS), Hospital Universitario Virgen del Rocio/CSIC/Universidad de Sevilla and Departamento de Biologia Celular, Universidad de Sevilla, 41013 Seville, Spain; Biomedical Network Research Centre on Neurodegenerative Diseases (CIBERNED), 28031 Madrid, Spain
| | - Samira Anbari
- Department of Biomedical Engineering, Johns Hopkins University School of Medicine, Baltimore, MD 21205, USA
| | - Luis M Escudero
- Instituto de Biomedicina de Sevilla (IBiS), Hospital Universitario Virgen del Rocio/CSIC/Universidad de Sevilla and Departamento de Biologia Celular, Universidad de Sevilla, 41013 Seville, Spain; Biomedical Network Research Centre on Neurodegenerative Diseases (CIBERNED), 28031 Madrid, Spain
| | - Javier Buceta
- Institute for Integrative Systems Biology (I2SysBio), CSIC-UV, Paterna, 46980 Valencia, Spain.
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6
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Hino N, Rossetti L, Marín-Llauradó A, Aoki K, Trepat X, Matsuda M, Hirashima T. ERK-Mediated Mechanochemical Waves Direct Collective Cell Polarization. Dev Cell 2020; 53:646-660.e8. [PMID: 32497487 DOI: 10.1016/j.devcel.2020.05.011] [Citation(s) in RCA: 114] [Impact Index Per Article: 28.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/18/2019] [Revised: 03/25/2020] [Accepted: 05/11/2020] [Indexed: 01/02/2023]
Abstract
During collective migration of epithelial cells, the migration direction is aligned over a tissue-scale expanse. Although the collective cell migration is known to be directed by mechanical forces transmitted via cell-cell junctions, it remains elusive how the intercellular force transmission is coordinated with intracellular biochemical signaling to achieve collective movements. Here, we show that intercellular coupling of extracellular signal-regulated kinase (ERK)-mediated mechanochemical feedback yields long-distance transmission of guidance cues. Mechanical stretch activates ERK through epidermal growth factor receptor (EGFR) activation, and ERK activation triggers cell contraction. The contraction of the activated cell pulls neighboring cells, evoking another round of ERK activation and contraction in the neighbors. Furthermore, anisotropic contraction based on front-rear polarization guarantees unidirectional propagation of ERK activation, and in turn, the ERK activation waves direct multicellular alignment of the polarity, leading to long-range ordered migration. Our findings reveal that mechanical forces mediate intercellular signaling underlying sustained transmission of guidance cues for collective cell migration.
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Affiliation(s)
- Naoya Hino
- Laboratory of Bioimaging and Cell Signaling, Graduate School of Biostudies, Kyoto University, Sakyo-ku, Kyoto 606-8501, Japan
| | - Leone Rossetti
- Institute for Bioengineering of Catalonia, Barcelona 08028, Spain
| | | | - Kazuhiro Aoki
- Quantitative Biology Research Group, Exploratory Research Center on Life and Living Systems (ExCELLS), National Institutes of Natural Sciences, 5-1 Higashiyama, Myodaiji-cho, Okazaki, Aichi 444-8787, Japan; Division of Quantitative Biology, National Institute for Basic Biology, National Institutes of Natural Sciences, 5-1 Higashiyama, Myodaiji-cho, Okazaki, Aichi 444-8787, Japan; Department of Basic Biology, School of Life Science, SOKENDAI (The Graduate University for Advanced Studies), 5-1 Higashiyama, Myodaiji-cho, Okazaki, Aichi 444-8787, Japan
| | - Xavier Trepat
- Institute for Bioengineering of Catalonia, Barcelona 08028, Spain; Faculty of Medicine, University of Barcelona, Barcelona, Spain; Institució Catalana de Recerca i Estudis Avançats (ICREA), Barcelona, Spain; Center for Networked Biomedical Research on Bioengineering, Biomaterials and Nanomedicine (CIBER-BBN), Barcelona, Spain
| | - Michiyuki Matsuda
- Laboratory of Bioimaging and Cell Signaling, Graduate School of Biostudies, Kyoto University, Sakyo-ku, Kyoto 606-8501, Japan; Department of Pathology and Biology of Diseases, Graduate School of Medicine, Kyoto University, Sakyo-ku, Kyoto 606-8501, Japan.
| | - Tsuyoshi Hirashima
- Department of Pathology and Biology of Diseases, Graduate School of Medicine, Kyoto University, Sakyo-ku, Kyoto 606-8501, Japan; Japan Science and Technology Agency, PRESTO, Sakyo-ku, Kyoto 606-8501, Japan.
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7
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Abstract
Contact inhibition is a cell property that limits the migration and proliferation of cells in crowded environments. Here we investigate the growth dynamics of a cell colony composed of migrating and proliferating cells on a substrate using a minimal model that incorporates the mechanisms of contact inhibition of locomotion and proliferation. We find two distinct regimes. At early times, when contact inhibition is weak, the colony grows exponentially in time, fully characterised by the proliferation rate. At long times, the colony boundary moves at a constant speed, determined only by the migration speed of a single cell and independent of the proliferation rate. Further, the model demonstrates how cell-cell alignment speeds up colony growth. Our model illuminates how simple local mechanical interactions give rise to contact inhibition, and from this, how cell colony growth is self-organised and controlled on a local level.
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8
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Gauquelin E, Tlili S, Gay C, Peyret G, Mège RM, Fardin MA, Ladoux B. Influence of proliferation on the motions of epithelial monolayers invading adherent strips. SOFT MATTER 2019; 15:2798-2810. [PMID: 30888391 PMCID: PMC6457434 DOI: 10.1039/c9sm00105k] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/07/2023]
Abstract
Biological systems integrate dynamics at many scales, from molecules, protein complexes and genes, to cells, tissues and organisms. At every step of the way, mechanics, biochemistry and genetics offer complementary approaches to understand these dynamics. At the tissue scale, in vitro monolayers of epithelial cells provide a model to capture the influence of various factors on the motions of the tissue, in order to understand in vivo processes from morphogenesis, cancer progression and tissue remodelling. Ongoing efforts include research aimed at deciphering the roles of the cytoskeleton, of cell-substrate and cell-cell adhesions, and of cell proliferation-the point we investigate here. We show that confined to adherent strips, and on the time scale of a day or two, monolayers move with a characteristic front speed independent of proliferation, but that the motion is accompanied by persistent velocity waves, only in the absence of cell divisions. Here we show that the long-range transmission of physical signals is strongly coupled to cell density and proliferation. We interpret our results from a kinematic and mechanical perspective. Our study provides a framework to understand density-driven mechanisms of collective cell migration.
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Affiliation(s)
- Estelle Gauquelin
- Institut Jacques Monod (IJM), Université Denis Diderot - Paris 7, CNRS UMR 7592, Paris 72505, France.
| | - Sham Tlili
- Mechanobiology Institute, National University of Singapore, 5A Engineering Drive 1, 117411, Singapore
| | - Cyprien Gay
- Laboratoire Matière et Systèmes Complexes, Université Denis Diderot - Paris 7, CNRS UMR 7057, Paris 72505, France
| | - Grégoire Peyret
- Institut Jacques Monod (IJM), Université Denis Diderot - Paris 7, CNRS UMR 7592, Paris 72505, France.
| | - René-Marc Mège
- Institut Jacques Monod (IJM), Université Denis Diderot - Paris 7, CNRS UMR 7592, Paris 72505, France.
| | - Marc A Fardin
- Institut Jacques Monod (IJM), Université Denis Diderot - Paris 7, CNRS UMR 7592, Paris 72505, France.
| | - Benoît Ladoux
- Institut Jacques Monod (IJM), Université Denis Diderot - Paris 7, CNRS UMR 7592, Paris 72505, France.
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9
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Pérez-González C, Alert R, Blanch-Mercader C, Gómez-González M, Kolodziej T, Bazellieres E, Casademunt J, Trepat X. Active wetting of epithelial tissues. NATURE PHYSICS 2019; 15:79-88. [PMID: 31537984 PMCID: PMC6753015 DOI: 10.1038/s41567-018-0279-5] [Citation(s) in RCA: 98] [Impact Index Per Article: 19.6] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/04/2023]
Abstract
Development, regeneration and cancer involve drastic transitions in tissue morphology. In analogy with the behavior of inert fluids, some of these transitions have been interpreted as wetting transitions. The validity and scope of this analogy are unclear, however, because the active cellular forces that drive tissue wetting have been neither measured nor theoretically accounted for. Here we show that the transition between two-dimensional epithelial monolayers and three-dimensional spheroidal aggregates can be understood as an active wetting transition whose physics differs fundamentally from that of passive wetting phenomena. By combining an active polar fluid model with measurements of physical forces as a function of tissue size, contractility, cell-cell and cell-substrate adhesion, and substrate stiffness, we show that the wetting transition results from the competition between traction forces and contractile intercellular stresses. This competition defines a new intrinsic lengthscale that gives rise to a critical size for the wetting transition in tissues, a striking feature that has no counterpart in classical wetting. Finally, we show that active shape fluctuations are dynamically amplified during tissue dewetting. Overall, we conclude that tissue spreading constitutes a prominent example of active wetting - a novel physical scenario that may explain morphological transitions during tissue morphogenesis and tumor progression.
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Affiliation(s)
- Carlos Pérez-González
- Institute for Bioengineering of Catalonia, The Barcelona Institute
for Science and Technology (BIST), Barcelona 08028, Spain
- Facultat de Medicina, University of Barcelona, 08028 Barcelona,
Spain
| | - Ricard Alert
- Departament de Física de la Matèria Condensada,
Facultat de Física, University of Barcelona, 08028 Barcelona, Spain
- University of Barcelona Institute of Complex Systems (UBICS), 08028
Barcelona, Spain
| | - Carles Blanch-Mercader
- Laboratoire Physico Chimie Curie, Institut Curie, PSL Research
University - Sorbonne Universités, UPMC CNRS, UMR 168, 26 rue d’Ulm,
F-75248 Paris Cedex 05, France
- Department of Biochemistry and NCCR Chemical Biology, Sciences II,
University of Geneva, Quai Ernest-Ansermet 30, Geneva, CH-1211, Switzerland
| | - Manuel Gómez-González
- Institute for Bioengineering of Catalonia, The Barcelona Institute
for Science and Technology (BIST), Barcelona 08028, Spain
| | - Tomasz Kolodziej
- Faculty of Physics, Astronomy and Applied Computer Science,
Jagiellonian University in Kraków, 30-348 Kraków, Poland
| | - Elsa Bazellieres
- Institute for Bioengineering of Catalonia, The Barcelona Institute
for Science and Technology (BIST), Barcelona 08028, Spain
| | - Jaume Casademunt
- Departament de Física de la Matèria Condensada,
Facultat de Física, University of Barcelona, 08028 Barcelona, Spain
- University of Barcelona Institute of Complex Systems (UBICS), 08028
Barcelona, Spain
- Corresponding authors: Jaume Casademunt, PhD, Professor of
Physics, Depertment of Condensed Matter Physics (University of Barcelona -
UBICS), Martí i Franquès, 1, 08028, Barcelona, Spain, (+34) 934
021 188, ; Xavier Trepat, PhD, ICREA
Research Professor, Institute for Bioengineering of Catalonia, Ed. Hèlix,
Baldiri i Reixac, 15-21, 08028, Barcelona, Spain, (+34) 934 020 265,
| | - Xavier Trepat
- Institute for Bioengineering of Catalonia, The Barcelona Institute
for Science and Technology (BIST), Barcelona 08028, Spain
- Facultat de Medicina, University of Barcelona, 08028 Barcelona,
Spain
- Institució Catalana de Recerca i Estudis Avançats
(ICREA), Barcelona, Spain
- Centro de Investigación Biomédica en Red en
Bioingeniería, Biomateriales y Nanomedicina, 08028, Spain
- Corresponding authors: Jaume Casademunt, PhD, Professor of
Physics, Depertment of Condensed Matter Physics (University of Barcelona -
UBICS), Martí i Franquès, 1, 08028, Barcelona, Spain, (+34) 934
021 188, ; Xavier Trepat, PhD, ICREA
Research Professor, Institute for Bioengineering of Catalonia, Ed. Hèlix,
Baldiri i Reixac, 15-21, 08028, Barcelona, Spain, (+34) 934 020 265,
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10
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Fukuyama T, Nakama S, Maeda YT. Thermal molecular focusing: tunable cross effect of phoresis and light-driven hydrodynamic focusing. SOFT MATTER 2018; 14:5519-5524. [PMID: 29926043 DOI: 10.1039/c8sm00754c] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
Abstract
The control of solute flux by either microscopic phoresis or hydrodynamic advection is a fundamental way to transport molecules, which are ubiquitously present in nature and technology. We study the transport of large solutes such as DNA driven by a time-dependent thermal field in a polymer solution. Heat propagation of a heat spot moving back and forth gives rise to the molecular focusing of DNA with frequency-tunable control. We develop a model where the viscoelastic expansion of a solution and the viscosity gradient of a smaller solute are coupled, which explains the underlying hydrodynamic focusing. This effect offers novel non-invasive manipulation of soft and biological materials in a frequency-tunable manner.
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Affiliation(s)
- Tatsuya Fukuyama
- Department of Physics, Kyushu University, Motooka 744, Fukuoka 819-0395, Japan.
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11
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Tlili S, Gauquelin E, Li B, Cardoso O, Ladoux B, Delanoë-Ayari H, Graner F. Collective cell migration without proliferation: density determines cell velocity and wave velocity. ROYAL SOCIETY OPEN SCIENCE 2018; 5:172421. [PMID: 29892428 PMCID: PMC5990758 DOI: 10.1098/rsos.172421] [Citation(s) in RCA: 50] [Impact Index Per Article: 8.3] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/05/2018] [Accepted: 03/23/2018] [Indexed: 05/18/2023]
Abstract
Collective cell migration contributes to embryogenesis, wound healing and tumour metastasis. Cell monolayer migration experiments help in understanding what determines the movement of cells far from the leading edge. Inhibiting cell proliferation limits cell density increase and prevents jamming; we observe long-duration migration and quantify space-time characteristics of the velocity profile over large length scales and time scales. Velocity waves propagate backwards and their frequency depends only on cell density at the moving front. Both cell average velocity and wave velocity increase linearly with the cell effective radius regardless of the distance to the front. Inhibiting lamellipodia decreases cell velocity while waves either disappear or have a lower frequency. Our model combines conservation laws, monolayer mechanical properties and a phenomenological coupling between strain and polarity: advancing cells pull on their followers, which then become polarized. With reasonable values of parameters, this model agrees with several of our experimental observations. Together, our experiments and model disantangle the respective contributions of active velocity and of proliferation in monolayer migration, explain how cells maintain their polarity far from the moving front, and highlight the importance of strain-polarity coupling and density in long-range information propagation.
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Affiliation(s)
- Sham Tlili
- Laboratoire Matière et Systèmes Complexes, Université Denis Diderot - Paris 7, CNRS UMR 7057, Condorcet building, 10 rue Alice Domon et Léonie Duquet, 75205 Paris Cedex 13, France
- Mechanobiology Institute, Department of Biological Sciences, National University of Singapore, 5A Engineering Drive, 1, 117411 Singapore
| | - Estelle Gauquelin
- Institut Jacques Monod, Université Denis Diderot - Paris 7, CNRS UMR 7592, Buffon building, 15 rue Hélène Brion, 75205 Paris Cedex 13, France
| | - Brigitte Li
- Laboratoire Matière et Systèmes Complexes, Université Denis Diderot - Paris 7, CNRS UMR 7057, Condorcet building, 10 rue Alice Domon et Léonie Duquet, 75205 Paris Cedex 13, France
| | - Olivier Cardoso
- Laboratoire Matière et Systèmes Complexes, Université Denis Diderot - Paris 7, CNRS UMR 7057, Condorcet building, 10 rue Alice Domon et Léonie Duquet, 75205 Paris Cedex 13, France
| | - Benoît Ladoux
- Mechanobiology Institute, Department of Biological Sciences, National University of Singapore, 5A Engineering Drive, 1, 117411 Singapore
- Institut Jacques Monod, Université Denis Diderot - Paris 7, CNRS UMR 7592, Buffon building, 15 rue Hélène Brion, 75205 Paris Cedex 13, France
| | - Hélène Delanoë-Ayari
- Univ. Lyon, Université Claude Bernard Lyon 1, CNRS UMR 5306, Institut Lumière Matière, Campus LyonTech - La Doua, Kastler building, 10 rue Ada Byron, 69622 Villeurbanne Cedex, France
| | - François Graner
- Laboratoire Matière et Systèmes Complexes, Université Denis Diderot - Paris 7, CNRS UMR 7057, Condorcet building, 10 rue Alice Domon et Léonie Duquet, 75205 Paris Cedex 13, France
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