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Sadhukhan S, Nandi MK, Pandey S, Paoluzzi M, Dasgupta C, Gov NS, Nandi SK. Motility driven glassy dynamics in confluent epithelial monolayers. SOFT MATTER 2024; 20:6160-6175. [PMID: 39044639 DOI: 10.1039/d4sm00352g] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 07/25/2024]
Abstract
As wounds heal, embryos develop, cancer spreads, or asthma progresses, the cellular monolayer undergoes a glass transition between solid-like jammed and fluid-like flowing states. During some of these processes, the cells undergo an epithelial-to-mesenchymal transition (EMT): they acquire in-plane polarity and become motile. Thus, how motility drives the glassy dynamics in epithelial systems is critical for the EMT process. However, no analytical framework that is indispensable for deeper insights exists. Here, we develop such a theory inspired by a well-known glass theory. One crucial result of this work is that the confluency affects the effective persistence time-scale of active force, described by its rotational diffusivity, Deffr. Deffr differs from the bare rotational diffusivity, Dr, of the motile force due to cell shape dynamics, which acts to rectify the force dynamics: Deffr is equal to Dr when Dr is small and saturates when Dr is large. We test the theoretical prediction of Deffr and how it affects the relaxation dynamics in our simulations of the active Vertex model. This novel effect of Deffr is crucial to understanding the new and previously published simulation data of active glassy dynamics in epithelial monolayers.
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Affiliation(s)
- Souvik Sadhukhan
- Tata Institute of Fundamental Research, 36/P Gopanpally Village, Hyderabad-500046, India.
| | - Manoj Kumar Nandi
- Institut National de la Santé et de la Recherche Médicale, Stem Cell and Brain Research Institute, Université Claude Bernard Lyon 1, Bron 69500, France
| | - Satyam Pandey
- Tata Institute of Fundamental Research, 36/P Gopanpally Village, Hyderabad-500046, India.
| | - Matteo Paoluzzi
- Istituto per le Applicazioni del Calcolo del Consiglio Nazionale delle Ricerche, Via Pietro Castellino 111, 80131 Napoli, Italy
| | - Chandan Dasgupta
- Department of Physics, Indian Institute of Science, Bangalore 560012, India
- International Centre for Theoretical Sciences, TIFR, Bangalore 560089, India
| | - Nir S Gov
- Department of Chemical and Biological Physics, Weizmann Institute of Science, Rehovot 7610001, Israel
| | - Saroj Kumar Nandi
- Tata Institute of Fundamental Research, 36/P Gopanpally Village, Hyderabad-500046, India.
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2
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Serrano Nájera G, Plum AM, Steventon B, Weijer CJ, Serra M. Control of Modular Tissue Flows Shaping the Embryo in Avian Gastrulation. BIORXIV : THE PREPRINT SERVER FOR BIOLOGY 2024:2024.07.04.601785. [PMID: 39026830 PMCID: PMC11257462 DOI: 10.1101/2024.07.04.601785] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 07/20/2024]
Abstract
Avian gastrulation requires coordinated flows of thousands of cells to form the body plan. We quantified these flows using their fundamental kinematic units: one attractor and two repellers constituting its Dynamic Morphoskeleton (DM). We have also elucidated the mechanistic origin of the attractor, marking the primitive streak (PS), and controlled its shape, inducing gastrulation flows in the chick embryo that are typical of other vertebrates. However, the origins of repellers and dynamic embryo shape remain unclear. Here, we address these questions using active matter physics and experiments. Repeller 1, separating the embryo proper (EP) from extraembryonic (EE) tissues, arises from the tug-of-war between EE epiboly and EP isotropic myosin-induced active stress. Repeller 2, bisecting the anterior and posterior PS and associated with embryo shape change, arises from anisotropic myosin-induced active intercalation in the mesendoderm. Combining mechanical confinement with inhibition of mesendoderm induction, we eliminated either one or both repellers, as predicted by our model. Our results reveal a remarkable modularity of avian gastrulation flows delineated by the DM, uncovering the mechanistic roles of EE epiboly, EP active constriction, mesendoderm intercalation and ingression. These findings offer a new perspective for deconstructing morphogenetic flows, uncovering their modular origin, and aiding synthetic morphogenesis.
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Affiliation(s)
| | - Alex M. Plum
- Department of Physics, University of California San Diego, CA 92093, USA
| | - Ben Steventon
- Department of Genetics, University of Cambridge, Cambridge CB2 3EH, UK
| | - Cornelis J. Weijer
- Division of Molec. Cell and Dev. Biology, School of Life Sciences, Univ. of Dundee, UK
| | - Mattia Serra
- Department of Physics, University of California San Diego, CA 92093, USA
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3
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Tang Y, Chen S, Bowick MJ, Bi D. Cell Division and Motility Enable Hexatic Order in Biological Tissues. PHYSICAL REVIEW LETTERS 2024; 132:218402. [PMID: 38856284 PMCID: PMC11267118 DOI: 10.1103/physrevlett.132.218402] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/10/2023] [Accepted: 04/19/2024] [Indexed: 06/11/2024]
Abstract
Biological tissues transform between solid- and liquidlike states in many fundamental physiological events. Recent experimental observations further suggest that in two-dimensional epithelial tissues these solid-liquid transformations can happen via intermediate states akin to the intermediate hexatic phases observed in equilibrium two-dimensional melting. The hexatic phase is characterized by quasi-long-range (power-law) orientational order but no translational order, thus endowing some structure to an otherwise structureless fluid. While it has been shown that hexatic order in tissue models can be induced by motility and thermal fluctuations, the role of cell division and apoptosis (birth and death) has remained poorly understood, despite its fundamental biological role. Here we study the effect of cell division and apoptosis on global hexatic order within the framework of the self-propelled Voronoi model of tissue. Although cell division naively destroys order and active motility facilitates deformations, we show that their combined action drives a liquid-hexatic-liquid transformation as the motility increases. The hexatic phase is accessed by the delicate balance of dislocation defect generation from cell division and the active binding of disclination-antidisclination pairs from motility. We formulate a mean-field model to elucidate this competition between cell division and motility and the consequent development of hexatic order.
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Affiliation(s)
- Yiwen Tang
- Department of Physics, Northeastern University, Boston, Massachusetts 02115, USA
- Center for Theoretical Biological Physics, Northeastern University, Boston, Massachusetts 02115, USA
| | - Siyuan Chen
- Department of Physics, University of California, Santa Barbara, Santa Barbara, California 93106, USA
| | - Mark J Bowick
- Department of Physics, University of California, Santa Barbara, Santa Barbara, California 93106, USA
- Kavli Institute of Theoretical Physics, University of California, Santa Barbara, Santa Barbara, California 93106, USA
| | - Dapeng Bi
- Department of Physics, Northeastern University, Boston, Massachusetts 02115, USA
- Center for Theoretical Biological Physics, Northeastern University, Boston, Massachusetts 02115, USA
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4
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Nerger BA, Sinha S, Lee NN, Cheriyan M, Bertsch P, Johnson CP, Mahadevan L, Bonventre JV, Mooney DJ. 3D Hydrogel Encapsulation Regulates Nephrogenesis in Kidney Organoids. ADVANCED MATERIALS (DEERFIELD BEACH, FLA.) 2024; 36:e2308325. [PMID: 38180232 PMCID: PMC10994733 DOI: 10.1002/adma.202308325] [Citation(s) in RCA: 4] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/16/2023] [Revised: 12/06/2023] [Indexed: 01/06/2024]
Abstract
Stem cell-derived kidney organoids contain nephron segments that recapitulate morphological and functional aspects of the human kidney. However, directed differentiation protocols for kidney organoids are largely conducted using biochemical signals to control differentiation. Here, the hypothesis that mechanical signals regulate nephrogenesis is investigated in 3D culture by encapsulating kidney organoids within viscoelastic alginate hydrogels with varying rates of stress relaxation. Tubular nephron segments are significantly more convoluted in kidney organoids differentiated in encapsulating hydrogels when compared with those in suspension culture. Hydrogel viscoelasticity regulates the spatial distribution of nephron segments within the differentiating kidney organoids. Consistent with these observations, a particle-based computational model predicts that the extent of deformation of the hydrogel-organoid interface regulates the morphology of nephron segments. Elevated extracellular calcium levels in the culture medium, which can be impacted by the hydrogels, decrease the glomerulus-to-tubule ratio of nephron segments. These findings reveal that hydrogel encapsulation regulates nephron patterning and morphology and suggest that the mechanical microenvironment is an important design variable for kidney regenerative medicine.
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Affiliation(s)
- Bryan A. Nerger
- John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, USA; Wyss Institute for Biologically Inspired Engineering, Harvard University, Boston, MA 02115, USA
| | - Sumit Sinha
- John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, USA; Department of Data Science, Dana-Farber Cancer Institute, Boston, MA 02215, USA
| | - Nathan N. Lee
- Division of Renal Medicine, Department of Medicine, Brigham and Women’s Hospital, Harvard Medical School, Boston, MA 02115, USA
| | - Maria Cheriyan
- Harvard College, Harvard University, Cambridge, MA 02138, USA
| | - Pascal Bertsch
- Radboud University Medical Center, Department of Dentistry – Regenerative Biomaterials, Radboud Institute for Molecular Life Sciences, Nijmegen, Netherlands
| | - Christopher P. Johnson
- Wyss Institute for Biologically Inspired Engineering, Harvard University, Boston, MA 02115, USA
| | - L. Mahadevan
- John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, USA; Department of Physics, Harvard University, Cambridge, MA 02138, USA; Department of Organismic and Evolutionary Biology, Harvard University, Cambridge, MA 02138, USA
| | - Joseph V. Bonventre
- Division of Renal Medicine, Department of Medicine, Brigham and Women’s Hospital, Harvard Medical School, Boston, MA 02115, USA; Division of Engineering in Medicine, Department of Medicine, Brigham and Women’s Hospital, Harvard Medical School, Boston, MA 02115, USA
| | - David J. Mooney
- John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, USA; Wyss Institute for Biologically Inspired Engineering, Harvard University, Boston, MA 02115, USA
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5
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Das R, Sinha S, Li X, Kirkpatrick TR, Thirumalai D. Free volume theory explains the unusual behavior of viscosity in a non-confluent tissue during morphogenesis. eLife 2024; 12:RP87966. [PMID: 38241331 PMCID: PMC10945604 DOI: 10.7554/elife.87966] [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] [Indexed: 01/21/2024] Open
Abstract
A recent experiment on zebrafish blastoderm morphogenesis showed that the viscosity (η) of a non-confluent embryonic tissue grows sharply until a critical cell packing fraction (ϕS). The increase in η up to ϕS is similar to the behavior observed in several glass-forming materials, which suggests that the cell dynamics is sluggish or glass-like. Surprisingly, η is a constant above ϕS. To determine the mechanism of this unusual dependence of η on ϕ, we performed extensive simulations using an agent-based model of a dense non-confluent two-dimensional tissue. We show that polydispersity in the cell size, and the propensity of the cells to deform, results in the saturation of the available free area per cell beyond a critical packing fraction. Saturation in the free space not only explains the viscosity plateau above ϕS but also provides a relationship between equilibrium geometrical packing to the dramatic increase in the relaxation dynamics.
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Affiliation(s)
- Rajsekhar Das
- Department of Chemistry, University of Texas at AustinAustinUnited States
| | - Sumit Sinha
- Department of Physics, University of Texas at AustinAustinUnited States
| | - Xin Li
- Department of Chemistry, University of Texas at AustinAustinUnited States
| | - TR Kirkpatrick
- Institute for Physical Science and Technology, University of MarylandCollege ParkUnited States
| | - D Thirumalai
- Department of Chemistry, University of Texas at AustinAustinUnited States
- Department of Physics, University of Texas at AustinAustinUnited States
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6
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Wiese R, Kroy K, Levis D. Fluid-Glass-Jamming Rheology of Soft Active Brownian Particles. PHYSICAL REVIEW LETTERS 2023; 131:178302. [PMID: 37955492 DOI: 10.1103/physrevlett.131.178302] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/16/2023] [Revised: 09/13/2023] [Accepted: 10/03/2023] [Indexed: 11/14/2023]
Abstract
We numerically study the shear rheology of a binary mixture of soft active Brownian particles, from the fluid to the disordered solid regime. At low shear rates, we find a Newtonian regime, where a Green-Kubo relation with an effective temperature provides the linear viscosity. It is followed by a shear-thinning regime at high shear rates. At high densities, solidification is signaled by the emergence of a finite yield stress. We construct a "fluid-glass-jamming" phase diagram with activity replacing temperature. While both parameters gauge fluctuations, activity also changes the exponent characterizing the decay of the diffusivity close to the glass transition and the shape of the yield stress surface. The dense disordered active solid appears to be mostly dominated by athermal jamming rather than glass rheology.
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Affiliation(s)
- Roland Wiese
- Institute for Theoretical Physics, Leipzig University, 04103 Leipzig, Germany
| | - Klaus Kroy
- Institute for Theoretical Physics, Leipzig University, 04103 Leipzig, Germany
| | - Demian Levis
- Departement de Física de la Materia Condensada, Facultat de Física, Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, Spain
- University of Barcelona Institute of Complex Systems (UBICS), Facultat de Física, Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, Spain
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7
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Stillman NR, Mayor R. Generative models of morphogenesis in developmental biology. Semin Cell Dev Biol 2023; 147:83-90. [PMID: 36754751 PMCID: PMC10615838 DOI: 10.1016/j.semcdb.2023.02.001] [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: 12/20/2022] [Revised: 02/02/2023] [Accepted: 02/02/2023] [Indexed: 02/08/2023]
Abstract
Understanding the mechanism by which cells coordinate their differentiation and migration is critical to our understanding of many fundamental processes such as wound healing, disease progression, and developmental biology. Mathematical models have been an essential tool for testing and developing our understanding, such as models of cells as soft spherical particles, reaction-diffusion systems that couple cell movement to environmental factors, and multi-scale multi-physics simulations that combine bottom-up rule-based models with continuum laws. However, mathematical models can often be loosely related to data or have so many parameters that model behaviour is weakly constrained. Recent methods in machine learning introduce new means by which models can be derived and deployed. In this review, we discuss examples of mathematical models of aspects of developmental biology, such as cell migration, and how these models can be combined with these recent machine learning methods.
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Affiliation(s)
- Namid R Stillman
- Department of Cell and Developmental Biology, University College London, Gower Street, London WC1E 6BT, UK.
| | - Roberto Mayor
- Department of Cell and Developmental Biology, University College London, Gower Street, London WC1E 6BT, UK; Center for Integrative Biology, Faculty of Sciences, Universidad Mayor; Santiago, Chile Santiago, Chile..
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8
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Dow LP, Parmar T, Marchetti MC, Pruitt BL. Engineering tools for quantifying and manipulating forces in epithelia. BIOPHYSICS REVIEWS 2023; 4:021303. [PMID: 38510344 PMCID: PMC10903508 DOI: 10.1063/5.0142537] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/14/2023] [Accepted: 04/20/2023] [Indexed: 03/22/2024]
Abstract
The integrity of epithelia is maintained within dynamic mechanical environments during tissue development and homeostasis. Understanding how epithelial cells mechanosignal and respond collectively or individually is critical to providing insight into developmental and (patho)physiological processes. Yet, inferring or mimicking mechanical forces and downstream mechanical signaling as they occur in epithelia presents unique challenges. A variety of in vitro approaches have been used to dissect the role of mechanics in regulating epithelia organization. Here, we review approaches and results from research into how epithelial cells communicate through mechanical cues to maintain tissue organization and integrity. We summarize the unique advantages and disadvantages of various reduced-order model systems to guide researchers in choosing appropriate experimental systems. These model systems include 3D, 2D, and 1D micromanipulation methods, single cell studies, and noninvasive force inference and measurement techniques. We also highlight a number of in silico biophysical models that are informed by in vitro and in vivo observations. Together, a combination of theoretical and experimental models will aid future experiment designs and provide predictive insight into mechanically driven behaviors of epithelial dynamics.
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Affiliation(s)
| | - Toshi Parmar
- Department of Physics, University of California Santa Barbara, Santa Barbara, California 93106, USA
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9
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Bocanegra-Moreno L, Singh A, Hannezo E, Zagorski M, Kicheva A. Cell cycle dynamics control fluidity of the developing mouse neuroepithelium. NATURE PHYSICS 2023; 19:1050-1058. [PMID: 37456593 PMCID: PMC10344780 DOI: 10.1038/s41567-023-01977-w] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 06/13/2022] [Accepted: 02/01/2023] [Indexed: 07/18/2023]
Abstract
As developing tissues grow in size and undergo morphogenetic changes, their material properties may be altered. Such changes result from tension dynamics at cell contacts or cellular jamming. Yet, in many cases, the cellular mechanisms controlling the physical state of growing tissues are unclear. We found that at early developmental stages, the epithelium in the developing mouse spinal cord maintains both high junctional tension and high fluidity. This is achieved via a mechanism in which interkinetic nuclear movements generate cell area dynamics that drive extensive cell rearrangements. Over time, the cell proliferation rate declines, effectively solidifying the tissue. Thus, unlike well-studied jamming transitions, the solidification uncovered here resembles a glass transition that depends on the dynamical stresses generated by proliferation and differentiation. Our finding that the fluidity of developing epithelia is linked to interkinetic nuclear movements and the dynamics of growth is likely to be relevant to multiple developing tissues.
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Affiliation(s)
| | - Amrita Singh
- Institute of Science and Technology Austria, Klosterneuburg, Austria
| | - Edouard Hannezo
- Institute of Science and Technology Austria, Klosterneuburg, Austria
| | - Marcin Zagorski
- Institute of Theoretical Physics and Mark Kac Center for Complex Systems Research, Jagiellonian University, Krakow, Poland
| | - Anna Kicheva
- Institute of Science and Technology Austria, Klosterneuburg, Austria
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10
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Hohmann T, Hohmann U, Dehghani F. MACC1-induced migration in tumors: Current state and perspective. Front Oncol 2023; 13:1165676. [PMID: 37051546 PMCID: PMC10084939 DOI: 10.3389/fonc.2023.1165676] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/14/2023] [Accepted: 03/14/2023] [Indexed: 03/29/2023] Open
Abstract
Malignant tumors are still a global, heavy health burden. Many tumor types cannot be treated curatively, underlining the need for new treatment targets. In recent years, metastasis associated in colon cancer 1 (MACC1) was identified as a promising biomarker and drug target, as it is promoting tumor migration, initiation, proliferation, and others in a multitude of solid cancers. Here, we will summarize the current knowledge about MACC1-induced tumor cell migration with a special focus on the cytoskeletal and adhesive systems. In addition, a brief overview of several in vitro models used for the analysis of cell migration is given. In this context, we will point to issues with the currently most prevalent models used to study MACC1-dependent migration. Lastly, open questions about MACC1-dependent effects on tumor cell migration will be addressed.
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11
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Zills G, Datta T, Malmi-Kakkada AN. Enhanced mechanical heterogeneity of cell collectives due to temporal fluctuations in cell elasticity. Phys Rev E 2023; 107:014401. [PMID: 36797877 DOI: 10.1103/physreve.107.014401] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/25/2022] [Accepted: 12/08/2022] [Indexed: 06/18/2023]
Abstract
Cells are dynamic systems characterized by temporal variations in biophysical properties such as stiffness and contractility. Recent studies show that the recruitment and release of actin filaments into and out of the cell cortex-a network of proteins underneath the cell membrane-leads to cell stiffening prior to division and softening immediately afterward. In three-dimensional (3D) cell collectives, it is unclear whether the stiffness change during division at the single-cell scale controls the spatial structure and dynamics at the multicellular scale. This is an important question to understand because cell stiffness variations impact cell spatial organization and cancer progression. Using a minimal 3D model incorporating cell birth, death, and cell-to-cell elastic and adhesive interactions, we investigate the effect of mechanical heterogeneity-variations in individual cell stiffnesses that make up the cell collective-on tumor spatial organization and cell dynamics. We discover that spatial mechanical heterogeneity characterized by a spheroid core composed of stiffer cells and softer cells in the periphery emerges within dense 3D cell collectives, which may be a general feature of multicellular tumor growth. We show that heightened spatial mechanical heterogeneity enhances single-cell dynamics and volumetric tumor growth driven by fluctuations in cell elasticity. Our results could have important implications in understanding how spatiotemporal variations in single-cell stiffness determine tumor growth and spread.
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Affiliation(s)
- Garrett Zills
- Department of Chemistry and Physics, Augusta University, 1120 15th Street, Augusta, Georgia 30912, USA
| | - Trinanjan Datta
- Department of Chemistry and Physics, Augusta University, 1120 15th Street, Augusta, Georgia 30912, USA
- Kavli Institute for Theoretical Physics, University of California, Santa Barbara, California 93106, USA
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12
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Hohmann U, von Widdern JC, Ghadban C, Giudice MCL, Lemahieu G, Cavalcanti-Adam EA, Dehghani F, Hohmann T. Jamming Transitions in Astrocytes and Glioblastoma Are Induced by Cell Density and Tension. Cells 2022; 12:cells12010029. [PMID: 36611824 PMCID: PMC9818602 DOI: 10.3390/cells12010029] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/20/2022] [Revised: 12/07/2022] [Accepted: 12/17/2022] [Indexed: 12/24/2022] Open
Abstract
Collective behavior of cells emerges from coordination of cell-cell-interactions and is important to wound healing, embryonic and tumor development. Depending on cell density and cell-cell interactions, a transition from a migratory, fluid-like unjammed state to a more static and solid-like jammed state or vice versa can occur. Here, we analyze collective migration dynamics of astrocytes and glioblastoma cells using live cell imaging. Furthermore, atomic force microscopy, traction force microscopy and spheroid generation assays were used to study cell adhesion, traction and mechanics. Perturbations of traction and adhesion were induced via ROCK or myosin II inhibition. Whereas astrocytes resided within a non-migratory, jammed state, glioblastoma were migratory and unjammed. Furthermore, we demonstrated that a switch from an unjammed to a jammed state was induced upon alteration of the equilibrium between cell-cell-adhesion and tension from adhesion to tension dominated, via inhibition of ROCK or myosin II. Such behavior has implications for understanding the infiltration of the brain by glioblastoma cells and may help to identify new strategies to develop anti-migratory drugs and strategies for glioblastoma-treatment.
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Affiliation(s)
- Urszula Hohmann
- Department of Anatomy and Cell Biology, Martin Luther University Halle-Wittenberg, 06108 Halle (Saale), Germany
| | - Julian Cardinal von Widdern
- Department of Anatomy and Cell Biology, Martin Luther University Halle-Wittenberg, 06108 Halle (Saale), Germany
| | - Chalid Ghadban
- Department of Anatomy and Cell Biology, Martin Luther University Halle-Wittenberg, 06108 Halle (Saale), Germany
| | - Maria Cristina Lo Giudice
- Department of Cellular Biophysics, Max Planck Institute for Medical Research, 69120 Heidelberg, Germany
| | - Grégoire Lemahieu
- Department of Cellular Biophysics, Max Planck Institute for Medical Research, 69120 Heidelberg, Germany
| | | | - Faramarz Dehghani
- Department of Anatomy and Cell Biology, Martin Luther University Halle-Wittenberg, 06108 Halle (Saale), Germany
| | - Tim Hohmann
- Department of Anatomy and Cell Biology, Martin Luther University Halle-Wittenberg, 06108 Halle (Saale), Germany
- Correspondence:
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13
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Sinha S, Li X, Das R, Thirumalai D. Mechanical feedback controls the emergence of dynamical memory in growing tissue monolayers. J Chem Phys 2022; 156:245101. [DOI: 10.1063/5.0087815] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The growth of a tissue, which depends on cell–cell interactions and biologically relevant processes such as cell division and apoptosis, is regulated by a mechanical feedback mechanism. We account for these effects in a minimal two-dimensional model in order to investigate the consequences of mechanical feedback, which is controlled by a critical pressure, p c. A cell can only grow and divide if its pressure, due to interaction with its neighbors, is less than p c. Because temperature is not a relevant variable, the cell dynamics is driven by self-generated active forces (SGAFs) that arise due to cell division. We show that even in the absence of intercellular interactions, cells undergo diffusive behavior. The SGAF-driven diffusion is indistinguishable from the well-known dynamics of a free Brownian particle at a fixed finite temperature. When intercellular interactions are taken into account, we find persistent temporal correlations in the force–force autocorrelation function (FAF) that extends over a timescale of several cell division times. The time-dependence of the FAF reveals memory effects, which increases as p c increases. The observed non-Markovian effects emerge due to the interplay of cell division and mechanical feedback and are inherently a non-equilibrium phenomenon.
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Affiliation(s)
- Sumit Sinha
- Department of Physics, University of Texas at Austin, Austin, Texas 78712, USA
| | - Xin Li
- Department of Chemistry, University of Texas at Austin, Austin, Texas 78712, USA
| | - Rajsekhar Das
- Department of Chemistry, University of Texas at Austin, Austin, Texas 78712, USA
| | - D. Thirumalai
- Department of Chemistry, University of Texas at Austin, Austin, Texas 78712, USA
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14
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Hohmann T, Hohmann U, Dahlmann M, Kobelt D, Stein U, Dehghani F. MACC1-Induced Collective Migration Is Promoted by Proliferation Rather Than Single Cell Biomechanics. Cancers (Basel) 2022; 14:cancers14122857. [PMID: 35740524 PMCID: PMC9221534 DOI: 10.3390/cancers14122857] [Citation(s) in RCA: 6] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/27/2022] [Revised: 05/25/2022] [Accepted: 06/07/2022] [Indexed: 02/05/2023] Open
Abstract
Metastasis-associated in colon cancer 1 (MACC1) is a marker for metastasis, tumor cell migration, and increased proliferation in colorectal cancer (CRC). Tumors with high MACC1 expression show a worse prognosis and higher invasion into neighboring structures. Yet, many facets of the pro-migratory effects are not fully understood. Atomic force microscopy and single cell live imaging were used to quantify biomechanical and migratory properties in low- and high-MACC1-expressing CRC cells. Furthermore, collective migration and expansion of small, cohesive cell colonies were analyzed using live cell imaging and particle image velocimetry. Lastly, the impact of proliferation on collective migration was determined by inhibition of proliferation using mitomycin. MACC1 did not affect elasticity, cortex tension, and single cell migration of CRC cells but promoted collective migration and colony expansion in vitro. Measurements of the local velocities in the dense cell layers revealed proliferation events as regions of high local speeds. Inhibition of proliferation via mitomycin abrogated the MACC1-associated effects on the collective migration speeds. A simple simulation revealed that the expansion of cell clusters without proliferation appeared to be determined mostly by single cell properties. MACC1 overexpression does not influence single cell biomechanics and migration but only collective migration in a proliferation-dependent manner. Thus, targeting proliferation in high-MACC1-expressing tumors may offer additional effects on cell migration.
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Affiliation(s)
- Tim Hohmann
- Department of Anatomy and Cell Biology, Martin Luther University Halle-Wittenberg, Grosse Steinstrasse 52, D-06108 Halle (Saale), Germany; (T.H.); (U.H.)
| | - Urszula Hohmann
- Department of Anatomy and Cell Biology, Martin Luther University Halle-Wittenberg, Grosse Steinstrasse 52, D-06108 Halle (Saale), Germany; (T.H.); (U.H.)
| | - Mathias Dahlmann
- Experimental and Clinical Research Center, Max-Delbrück-Center for Molecular Medicine in the Helmholtz Association, Charité—Universitätsmedizin Berlin, Robert-Rössle-Straße 10, D-13125 Berlin, Germany; (M.D.); (D.K.)
- German Cancer Consortium (DKTK), Im Neuenheimer Feld 280, D-69120 Heidelberg, Germany
| | - Dennis Kobelt
- Experimental and Clinical Research Center, Max-Delbrück-Center for Molecular Medicine in the Helmholtz Association, Charité—Universitätsmedizin Berlin, Robert-Rössle-Straße 10, D-13125 Berlin, Germany; (M.D.); (D.K.)
- German Cancer Consortium (DKTK), Im Neuenheimer Feld 280, D-69120 Heidelberg, Germany
| | - Ulrike Stein
- Experimental and Clinical Research Center, Max-Delbrück-Center for Molecular Medicine in the Helmholtz Association, Charité—Universitätsmedizin Berlin, Robert-Rössle-Straße 10, D-13125 Berlin, Germany; (M.D.); (D.K.)
- German Cancer Consortium (DKTK), Im Neuenheimer Feld 280, D-69120 Heidelberg, Germany
- Correspondence: (U.S.); (F.D.); Tel.: +49-9406-3432 (U.S.); +49-345-5571-944 (F.D.); Fax: +49-345-5571-700 (F.D.)
| | - Faramarz Dehghani
- Department of Anatomy and Cell Biology, Martin Luther University Halle-Wittenberg, Grosse Steinstrasse 52, D-06108 Halle (Saale), Germany; (T.H.); (U.H.)
- Correspondence: (U.S.); (F.D.); Tel.: +49-9406-3432 (U.S.); +49-345-5571-944 (F.D.); Fax: +49-345-5571-700 (F.D.)
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15
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Day TC, Márquez-Zacarías P, Bravo P, Pokhrel AR, MacGillivray KA, Ratcliff WC, Yunker PJ. Varied solutions to multicellularity: The biophysical and evolutionary consequences of diverse intercellular bonds. BIOPHYSICS REVIEWS 2022; 3:021305. [PMID: 35673523 PMCID: PMC9164275 DOI: 10.1063/5.0080845] [Citation(s) in RCA: 6] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 12/03/2021] [Accepted: 04/29/2022] [Indexed: 11/16/2022]
Abstract
The diversity of multicellular organisms is, in large part, due to the fact that multicellularity has independently evolved many times. Nonetheless, multicellular organisms all share a universal biophysical trait: cells are attached to each other. All mechanisms of cellular attachment belong to one of two broad classes; intercellular bonds are either reformable or they are not. Both classes of multicellular assembly are common in nature, having independently evolved dozens of times. In this review, we detail these varied mechanisms as they exist in multicellular organisms. We also discuss the evolutionary implications of different intercellular attachment mechanisms on nascent multicellular organisms. The type of intercellular bond present during early steps in the transition to multicellularity constrains future evolutionary and biophysical dynamics for the lineage, affecting the origin of multicellular life cycles, cell-cell communication, cellular differentiation, and multicellular morphogenesis. The types of intercellular bonds used by multicellular organisms may thus result in some of the most impactful historical constraints on the evolution of multicellularity.
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Affiliation(s)
- Thomas C. Day
- School of Physics, Georgia Institute of Technology, Atlanta, Georgia 30332, USA
| | | | | | - Aawaz R. Pokhrel
- School of Physics, Georgia Institute of Technology, Atlanta, Georgia 30332, USA
| | | | - William C. Ratcliff
- School of Biological Sciences, Georgia Institute of Technology, Atlanta, Georgia 30332, USA
| | - Peter J. Yunker
- School of Physics, Georgia Institute of Technology, Atlanta, Georgia 30332, USA
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16
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Mitchell E, Tjhung E. Macroscopic current generated by local division and apoptosis in a minimal model of tissue dynamics. SOFT MATTER 2022; 18:1082-1088. [PMID: 35029249 DOI: 10.1039/d1sm00928a] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/14/2023]
Abstract
It has been known that the motion of self-propelled particles inside an asymmetric channel can be rectified to give rise to a macroscopic and unidirectional current. In this paper, we show that division and apoptosis process alone (which are ubiquitous in all living systems), without any self-propulsion, are sufficient to give rise to a macroscopic and unidirectional current in a similar channel. More specifically, we consider a minimal computational model of two-dimensional living tissues, with two active ingredients: local particle division and apoptosis, and we found a net steady state current along the channel. This mechanism is fundamentally different from that of self-propelled particles, since this requires the system to be dense. Finally, our results might have applications in tissue engineering such as controlling tissue growth via a geometrically non-uniform substrate.
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Affiliation(s)
- Emma Mitchell
- Department of Physics, University of Durham, Science Laboratories, South Road, Durham DH1 3LE, UK.
| | - Elsen Tjhung
- Department of Physics, University of Durham, Science Laboratories, South Road, Durham DH1 3LE, UK.
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17
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Klamser JU, Dauchot O, Tailleur J. Kinetic Monte Carlo Algorithms for Active Matter Systems. PHYSICAL REVIEW LETTERS 2021; 127:150602. [PMID: 34678030 DOI: 10.1103/physrevlett.127.150602] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/26/2021] [Revised: 07/07/2021] [Accepted: 08/31/2021] [Indexed: 06/13/2023]
Abstract
We study kinetic Monte Carlo (KMC) descriptions of active particles. We show that, when they rely on purely persistent, active steps, their continuous-time limit is ill-defined, leading to the vanishing of trademark behaviors of active matter such as the motility-induced phase separation, ratchet effects, as well as to a diverging mechanical pressure. We then show how, under an appropriate scaling, mixing passive steps with active ones leads to a well-defined continuous-time limit that however differs from standard active dynamics. Finally, we propose new KMC algorithms whose continuous-time limits lead to the dynamics of active Ornstein-Uhlenbeck, active Brownian, and run-and-tumble particles.
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Affiliation(s)
- Juliane U Klamser
- Gulliver UMR CNRS 7083, ESPCI Paris, Université PSL, 75005 Paris, France
| | - Olivier Dauchot
- Gulliver UMR CNRS 7083, ESPCI Paris, Université PSL, 75005 Paris, France
| | - Julien Tailleur
- Laboratoire Matière et Systèmes Complexes (MSC),UMR 7057 CNRS, Université de Paris, 75205 Paris, France
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18
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Bhaskar D, Zhang WY, Wong IY. Topological data analysis of collective and individual epithelial cells using persistent homology of loops. SOFT MATTER 2021; 17:4653-4664. [PMID: 33949592 PMCID: PMC8276269 DOI: 10.1039/d1sm00072a] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/12/2023]
Abstract
Interacting, self-propelled particles such as epithelial cells can dynamically self-organize into complex multicellular patterns, which are challenging to classify without a priori information. Classically, different phases and phase transitions have been described based on local ordering, which may not capture structural features at larger length scales. Instead, topological data analysis (TDA) determines the stability of spatial connectivity at varying length scales (i.e. persistent homology), and can compare different particle configurations based on the "cost" of reorganizing one configuration into another. Here, we demonstrate a topology-based machine learning approach for unsupervised profiling of individual and collective phases based on large-scale loops. We show that these topological loops (i.e. dimension 1 homology) are robust to variations in particle number and density, particularly in comparison to connected components (i.e. dimension 0 homology). We use TDA to map out phase diagrams for simulated particles with varying adhesion and propulsion, at constant population size as well as when proliferation is permitted. Next, we use this approach to profile our recent experiments on the clustering of epithelial cells in varying growth factor conditions, which are compared to our simulations. Finally, we characterize the robustness of this approach at varying length scales, with sparse sampling, and over time. Overall, we envision TDA will be broadly applicable as a model-agnostic approach to analyze active systems with varying population size, from cytoskeletal motors to motile cells to flocking or swarming animals.
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Affiliation(s)
- Dhananjay Bhaskar
- School of Engineering, Center for Biomedical Engineering, Brown University, 184 Hope St Box D, Providence, RI 02912, USA. and Data Science Initiative, Brown University, 184 Hope St Box D, Providence, RI 02912, USA
| | - William Y Zhang
- Department of Computer Science, Brown University, 184 Hope St Box D, Providence, RI 02912, USA
| | - Ian Y Wong
- School of Engineering, Center for Biomedical Engineering, Brown University, 184 Hope St Box D, Providence, RI 02912, USA. and Data Science Initiative, Brown University, 184 Hope St Box D, Providence, RI 02912, USA
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19
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Devany J, Sussman DM, Yamamoto T, Manning ML, Gardel ML. Cell cycle-dependent active stress drives epithelia remodeling. Proc Natl Acad Sci U S A 2021; 118:e1917853118. [PMID: 33649197 PMCID: PMC7958291 DOI: 10.1073/pnas.1917853118] [Citation(s) in RCA: 28] [Impact Index Per Article: 9.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/21/2022] Open
Abstract
Epithelia have distinct cellular architectures which are established in development, reestablished after wounding, and maintained during tissue homeostasis despite cell turnover and mechanical perturbations. In turn, cell shape also controls tissue function as a regulator of cell differentiation, proliferation, and motility. Here, we investigate cell shape changes in a model epithelial monolayer. After the onset of confluence, cells continue to proliferate and change shape over time, eventually leading to a final architecture characterized by arrested motion and more regular cell shapes. Such monolayer remodeling is robust, with qualitatively similar evolution in cell shape and dynamics observed across disparate perturbations. Here, we quantify differences in monolayer remodeling guided by the active vertex model to identify underlying order parameters controlling epithelial architecture. When monolayers are formed atop an extracellular matrix with varied stiffness, we find the cell density at which motion arrests varies significantly, but the cell shape remains constant, consistent with the onset of tissue rigidity. In contrast, pharmacological perturbations can significantly alter the cell shape at which tissue dynamics are arrested, consistent with varied amounts of active stress within the tissue. Across all experimental conditions, the final cell shape is well correlated to the cell proliferation rate, and cell cycle inhibition immediately arrests cell motility. Finally, we demonstrate cell cycle variation in junctional tension as a source of active stress within the monolayer. Thus, the architecture and mechanics of epithelial tissue can arise from an interplay between cell mechanics and stresses arising from cell cycle dynamics.
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Affiliation(s)
- John Devany
- Department of Physics, Institute for Biophysical Dynamics, James Franck Institute, University of Chicago, Chicago, IL 60637
| | - Daniel M Sussman
- Department of Physics, BioInspired Institute, Syracuse University, Syracuse, NY 13244
- Department of Physics, Emory University, Atlanta, GA 30322
| | - Takaki Yamamoto
- Nonequilibrium Physics of Living Matter RIKEN Hakubi Research Team, RIKEN Center for Biosystems Dynamics Research, Kobe 650-0047, Japan
| | - M Lisa Manning
- Department of Physics, BioInspired Institute, Syracuse University, Syracuse, NY 13244
| | - Margaret L Gardel
- Department of Physics, Institute for Biophysical Dynamics, James Franck Institute, University of Chicago, Chicago, IL 60637;
- Pritzker School of Molecular Engineering, University of Chicago, Chicago, IL 60637
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20
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Sinha S, Malmi-Kakkada AN, Li X, Samanta HS, Thirumalai D. Spatially heterogeneous dynamics of cells in a growing tumor spheroid: comparison between theory and experiments. SOFT MATTER 2020; 16:5294-5304. [PMID: 32462163 DOI: 10.1039/c9sm02277e] [Citation(s) in RCA: 14] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/11/2023]
Abstract
Collective cell movement, characterized by multiple cells that are in contact for substantial periods of time and undergo correlated motion, plays a central role in cancer and embryogenesis. Recent imaging experiments have provided time-dependent traces of individual cells, thus providing an unprecedented picture of tumor spheroid growth. By using simulations of a minimal cell model, we analyze the experimental data that map the movement of cells in a fibrosarcoma tumor spheroid embedded in a collagen matrix. Both simulations and experiments show that cells in the core of the spheroid exhibit subdiffusive glassy dynamics (mean square displacement, Δ(t) ≈ tα with α < 1), whereas cells in the periphery exhibit superdiffusive motion, Δ(t) ≈ tα with α > 1. The motion of most of the cells near the periphery is highly persistent and correlated directional motion due to cell doubling and apoptosis rates, thus explaining the observed superdiffusive behavior. The α values for cells in the core and periphery, extracted from simulations and experiments, are in near quantitative agreement with each other, which is surprising given that no parameter in the model was used to fit the measurements. The qualitatively different dynamics of cells in the core and periphery is captured by the fourth order susceptibility, introduced to characterize metastable states in glass forming systems. Analyses of the velocity autocorrelation of individual cells show remarkable spatial heterogeneity with no two cells exhibiting similar behavior. The prediction that α should depend on the location of the cells in the tumor is amenable to experimental testing. The highly heterogeneous dynamics of cells in the tumor spheroid provides a plausible mechanism for the origin of intratumor heterogeneity.
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Affiliation(s)
- Sumit Sinha
- Department of Physics, University of Texas at Austin, Austin, TX 78712, USA
| | | | - Xin Li
- Department of Chemistry, University of Texas at Austin, Austin, TX 78712, USA.
| | - Himadri S Samanta
- Department of Chemistry, University of Texas at Austin, Austin, TX 78712, USA.
| | - D Thirumalai
- Department of Chemistry, University of Texas at Austin, Austin, TX 78712, USA.
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21
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Henkes S, Kostanjevec K, Collinson JM, Sknepnek R, Bertin E. Dense active matter model of motion patterns in confluent cell monolayers. Nat Commun 2020; 11:1405. [PMID: 32179745 PMCID: PMC7075903 DOI: 10.1038/s41467-020-15164-5] [Citation(s) in RCA: 55] [Impact Index Per Article: 13.8] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/31/2019] [Accepted: 02/07/2020] [Indexed: 11/09/2022] Open
Abstract
Epithelial cell monolayers show remarkable displacement and velocity correlations over distances of ten or more cell sizes that are reminiscent of supercooled liquids and active nematics. We show that many observed features can be described within the framework of dense active matter, and argue that persistent uncoordinated cell motility coupled to the collective elastic modes of the cell sheet is sufficient to produce swirl-like correlations. We obtain this result using both continuum active linear elasticity and a normal modes formalism, and validate analytical predictions with numerical simulations of two agent-based cell models, soft elastic particles and the self-propelled Voronoi model together with in-vitro experiments of confluent corneal epithelial cell sheets. Simulations and normal mode analysis perfectly match when tissue-level reorganisation occurs on times longer than the persistence time of cell motility. Our analytical model quantitatively matches measured velocity correlation functions over more than a decade with a single fitting parameter.
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Affiliation(s)
- Silke Henkes
- School of Mathematics, University of Bristol, Bristol, BS8 1TW, United Kingdom.
- Institute of Complex Systems and Mathematical Biology, University of Aberdeen, Aberdeen, AB24 3UE, United Kingdom.
| | - Kaja Kostanjevec
- School of Medicine, Medical Sciences and Nutrition, University of Aberdeen, Aberdeen, AB25 2ZD, United Kingdom
| | - J Martin Collinson
- School of Medicine, Medical Sciences and Nutrition, University of Aberdeen, Aberdeen, AB25 2ZD, United Kingdom
| | - Rastko Sknepnek
- School of Science and Engineering, University of Dundee, Dundee, DD1 4HN, United Kingdom.
- School of Life Sciences, University of Dundee, Dundee, DD1 5EH, United Kingdom.
| | - Eric Bertin
- Université Grenoble Alpes and CNRS, LIPHY, F-38000, Grenoble, France.
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22
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Czajkowski M, Sussman DM, Marchetti MC, Manning ML. Glassy dynamics in models of confluent tissue with mitosis and apoptosis. SOFT MATTER 2019; 15:9133-9149. [PMID: 31674622 DOI: 10.1039/c9sm00916g] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
Recent work on particle-based models of tissues has suggested that any finite rate of cell division and cell death is sufficient to fluidize an epithelial tissue. At the same time, experimental evidence has indicated the existence of glassy dynamics in some epithelial layers despite continued cell cycling. To address this discrepancy, we quantify the role of cell birth and death on glassy states in confluent tissues using simulations of an active vertex model that includes cell motility, cell division, and cell death. Our simulation data is consistent with a simple ansatz in which the rate of cell-life cycling and the rate of relaxation of the tissue in the absence of cell cycling contribute independently and additively to the overall rate of cell motion. Specifically, we find that a glass-like regime with caging behavior indicated by subdiffusive cell displacements can be achieved in systems with sufficiently low rates of cell cycling.
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Affiliation(s)
- Michael Czajkowski
- Physics Department, Georgia Institute of Technology, Atlanta, GA 30332, USA.
| | - Daniel M Sussman
- Physics Department and BioInspired Institute, Syracuse University, Syracuse, NY 13244, USA
| | - M Cristina Marchetti
- Department of Physics, University of California at Santa Barbara, Santa Barbara, CA 93106, USA
| | - M Lisa Manning
- Physics Department and BioInspired Institute, Syracuse University, Syracuse, NY 13244, USA
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23
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Collagen hydrolysate from Thunnus orientalis bone induces osteoblast proliferation and differentiation. Chem Eng Sci 2019. [DOI: 10.1016/j.ces.2019.04.040] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/11/2022]
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24
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Berthier L, Flenner E, Szamel G. Glassy dynamics in dense systems of active particles. J Chem Phys 2019; 150:200901. [DOI: 10.1063/1.5093240] [Citation(s) in RCA: 58] [Impact Index Per Article: 11.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/21/2023] Open
Affiliation(s)
- Ludovic Berthier
- Laboratoire Charles Coulomb, UMR 5221 CNRS, Université Montpellier, Montpellier, France
| | - Elijah Flenner
- Department of Chemistry, Colorado State University, Fort Collins, Colorado 80523, USA
| | - Grzegorz Szamel
- Department of Chemistry, Colorado State University, Fort Collins, Colorado 80523, USA
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25
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Merkel M, Baumgarten K, Tighe BP, Manning ML. A minimal-length approach unifies rigidity in underconstrained materials. Proc Natl Acad Sci U S A 2019; 116:6560-6568. [PMID: 30894489 PMCID: PMC6452732 DOI: 10.1073/pnas.1815436116] [Citation(s) in RCA: 45] [Impact Index Per Article: 9.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/09/2023] Open
Abstract
We present an approach to understand geometric-incompatibility-induced rigidity in underconstrained materials, including subisostatic 2D spring networks and 2D and 3D vertex models for dense biological tissues. We show that in all these models a geometric criterion, represented by a minimal length [Formula: see text], determines the onset of prestresses and rigidity. This allows us to predict not only the correct scalings for the elastic material properties, but also the precise magnitudes for bulk modulus and shear modulus discontinuities at the rigidity transition as well as the magnitude of the Poynting effect. We also predict from first principles that the ratio of the excess shear modulus to the shear stress should be inversely proportional to the critical strain with a prefactor of 3. We propose that this factor of 3 is a general hallmark of geometrically induced rigidity in underconstrained materials and could be used to distinguish this effect from nonlinear mechanics of single components in experiments. Finally, our results may lay important foundations for ways to estimate [Formula: see text] from measurements of local geometric structure and thus help develop methods to characterize large-scale mechanical properties from imaging data.
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Affiliation(s)
- Matthias Merkel
- Department of Physics, Syracuse University, Syracuse, NY 13244;
- Centre de Physique Théorique (CPT), Turing Center for Living Systems, Aix Marseille Univ, Université de Toulon, CNRS, 13009 Marseille, France
| | - Karsten Baumgarten
- Process & Energy Laboratory, Delft University of Technology, 2628 CB Delft, The Netherlands
| | - Brian P Tighe
- Process & Energy Laboratory, Delft University of Technology, 2628 CB Delft, The Netherlands
| | - M Lisa Manning
- Department of Physics, Syracuse University, Syracuse, NY 13244
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26
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Alert R, Blanch-Mercader C, Casademunt J. Active Fingering Instability in Tissue Spreading. PHYSICAL REVIEW LETTERS 2019; 122:088104. [PMID: 30932560 DOI: 10.1103/physrevlett.122.088104] [Citation(s) in RCA: 28] [Impact Index Per Article: 5.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/28/2018] [Indexed: 05/13/2023]
Abstract
During the spreading of epithelial tissues, the advancing tissue front often develops fingerlike protrusions. Their resemblance to traditional viscous fingering patterns in driven fluids suggests that epithelial fingers could arise from an interfacial instability. However, the existence and physical mechanism of such a putative instability remain unclear. Here, based on an active polar fluid model for epithelial spreading, we analytically predict a generic instability of the tissue front. On the one hand, active cellular traction forces impose a velocity gradient that leads to an accelerated front, which is, thus, unstable to long-wavelength perturbations. On the other hand, contractile intercellular stresses typically dominate over surface tension in stabilizing short-wavelength perturbations. Finally, the finite range of hydrodynamic interactions in the tissue selects a wavelength for the fingering pattern, which is, thus, given by the smallest between the tissue size and the hydrodynamic screening length. Overall, we show that spreading epithelia experience an active fingering instability based on a simple kinematic mechanism. Moreover, our results underscore the crucial role of long-range hydrodynamic interactions in the dynamics of tissue morphology.
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Affiliation(s)
- Ricard Alert
- Departament de Física de la Matèria Condensada, Universitat de Barcelona, Avinguda Diagonal 647, 08028 Barcelona, Spain
- Universitat de Barcelona Institute of Complex Systems (UBICS), Universitat de Barcelona, 08028 Barcelona, Spain
| | - Carles Blanch-Mercader
- Laboratoire Physico Chimie Curie, Institut Curie, PSL Research University, CNRS, 26 rue d'Ulm, 75005 Paris, France
- Department of Biochemistry, Faculty of Sciences, University of Geneva, 30, Quai Ernest-Ansermet, 1205 Genève, Switzerland
| | - Jaume Casademunt
- Departament de Física de la Matèria Condensada, Universitat de Barcelona, Avinguda Diagonal 647, 08028 Barcelona, Spain
- Universitat de Barcelona Institute of Complex Systems (UBICS), Universitat de Barcelona, 08028 Barcelona, Spain
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27
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Engstrom TA, Zhang T, Lawton AK, Joyner AL, Schwarz JM. Buckling without Bending: A New Paradigm in Morphogenesis. PHYSICAL REVIEW. X 2018; 8:041053. [PMID: 31448179 PMCID: PMC6706858 DOI: 10.1103/physrevx.8.041053] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
Abstract
A curious feature of organ and organoid morphogenesis is that in certain cases, spatial oscillations in the thickness of the growing "film" are out of phase with the deformation of the slower-growing "substrate," while in other cases, the oscillations are in phase. The former cannot be explained by elastic bilayer instability, and contradict the notion that there is a universal mechanism by which brains, intestines, teeth, and other organs develop surface wrinkles and folds. Inspired by the microstructure of the embryonic cerebellum, we develop a new model of 2D morphogenesis in which system-spanning elastic fibers endow the organ with a preferred radius, while a separate fiber network resides in the otherwise fluidlike film at the outer edge of the organ and resists thickness gradients thereof. The tendency of the film to uniformly thicken or thin is described via a "growth potential." Several features of cerebellum, +blebbistatin organoid, and retinal fovea morphogenesis, including out-of-phase behavior and a film thickness amplitude that is comparable to the radius amplitude, are readily explained by our simple analytical model, as may be an observed scale invariance in the number of folds in the cerebellum. We also study a nonlinear variant of the model, propose further biological and bioinspired applications, and address how our model is and is not unique to the developing nervous system.
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Affiliation(s)
- T. A. Engstrom
- Department of Physics, Syracuse University, Syracuse, New York 13244, USA
| | - Teng Zhang
- Department of Mechanical & Aerospace Engineering, Syracuse University, Syracuse, New York 13244, USA
| | - A. K. Lawton
- Developmental Biology Program, Memorial Sloan Kettering Cancer Center, New York, New York 10065, USA
| | - A. L. Joyner
- Developmental Biology Program, Memorial Sloan Kettering Cancer Center, New York, New York 10065, USA
| | - J. M. Schwarz
- Department of Physics, Syracuse University, Syracuse, New York 13244, USA
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28
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Krajnc M, Dasgupta S, Ziherl P, Prost J. Fluidization of epithelial sheets by active cell rearrangements. Phys Rev E 2018; 98:022409. [PMID: 30253464 DOI: 10.1103/physreve.98.022409] [Citation(s) in RCA: 31] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/20/2017] [Indexed: 06/08/2023]
Abstract
We theoretically explore fluidization of epithelial tissues by active T1 neighbor exchanges. We show that the geometry of cell-cell junctions encodes important information about the local features of the energy landscape, which we support by an elastic theory of T1 transformations. Using a 3D vertex model, we show that the degree of active noise driving forced cell rearrangements governs the stress-relaxation timescale of the tissue. We study tissue response to in-plane shear at different timescales. At short time, the tissue behaves as a solid, whereas its long-time fluid behavior can be associated with an effective viscosity which scales with the rate of active T1 transformations. Furthermore, we develop a coarse-grained theory, where we treat the tissue as an active fluid and confirm the results of the vertex model. The impact of cell rearrangements on tissue shape is illustrated by studying axial compression of an epithelial tube.
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Affiliation(s)
- Matej Krajnc
- Lewis-Sigler Institute for Integrative Genomics, Princeton University, Washington Road, Princeton, New Jersey USA, 08544
- Jožef Stefan Institute, Jamova 39, SI-1000, Ljubljana, Slovenia
| | - Sabyasachi Dasgupta
- Department of Physics, University of Toronto, 60 St. George Street, Toronto, Ontario M5S 1A7, Canada
- Mechanobiology Institute, National University of Singapore, 5A Engineering Drive 1, Singapore 117411, Singapore
| | - Primož Ziherl
- Jožef Stefan Institute, Jamova 39, SI-1000, Ljubljana, Slovenia
- Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, SI-1000 Ljubljana, Slovenia
| | - Jacques Prost
- Mechanobiology Institute, National University of Singapore, 5A Engineering Drive 1, Singapore 117411, Singapore
- Laboratoire Physico Chimie Curie, Institut Curie, PSL Research University, CNRS UMR168, 75005 Paris, France
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29
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Kalziqi A, Yanni D, Thomas J, Ng SL, Vivek S, Hammer BK, Yunker PJ. Immotile Active Matter: Activity from Death and Reproduction. PHYSICAL REVIEW LETTERS 2018; 120:018101. [PMID: 29350941 DOI: 10.1103/physrevlett.120.018101] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/11/2017] [Revised: 07/24/2017] [Indexed: 06/07/2023]
Abstract
Unlike equilibrium atomic solids, biofilms-soft solids composed of bacterial cells-do not experience significant thermal fluctuations at the constituent level. However, living cells stochastically reproduce and die, provoking a mechanical response. We investigate the mechanical consequences of cellular death and reproduction by measuring surface-height fluctuations of biofilms containing two mutually antagonistic strains of Vibrio cholerae that kill one another on contact via the type VI secretion system. While studies of active matter typically focus on activity via constituent mobility, here, activity is mediated by reproduction and death events in otherwise immobilized cells. Biofilm surface topography is measured in the nearly homeostatic limit via white light interferometry. Although biofilms are far from equilibrium systems, measured surface-height fluctuation spectra resemble the spectra of thermal permeable membranes but with an activity-mediated effective temperature, as predicted by Risler, Peilloux, and Prost [Phys. Rev. Lett. 115, 258104 (2015)PRLTAO0031-900710.1103/PhysRevLett.115.258104]. By comparing the activity of killer strains of V. cholerae with that of genetically modified strains that cannot kill each other and validating with individual-based simulations, we demonstrate that extracted effective temperatures increase with the amount of death and reproduction and that death and reproduction can fluidize biofilms. Together, these observations demonstrate the unique physical consequences of activity mediated by death and reproduction events.
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Affiliation(s)
- Arben Kalziqi
- School of Physics, Georgia Institute of Technology, Atlanta, Georgia 30332, USA
| | - David Yanni
- School of Physics, Georgia Institute of Technology, Atlanta, Georgia 30332, USA
| | - Jacob Thomas
- School of Biological Sciences, Georgia Institute of Technology, Atlanta, Georgia 30332, USA
| | - Siu Lung Ng
- School of Biological Sciences, Georgia Institute of Technology, Atlanta, Georgia 30332, USA
| | - Skanda Vivek
- School of Physics, Georgia Institute of Technology, Atlanta, Georgia 30332, USA
| | - Brian K Hammer
- School of Biological Sciences, Georgia Institute of Technology, Atlanta, Georgia 30332, USA
| | - Peter J Yunker
- School of Physics, Georgia Institute of Technology, Atlanta, Georgia 30332, USA
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Oswald L, Grosser S, Smith DM, Käs JA. Jamming transitions in cancer. JOURNAL OF PHYSICS D: APPLIED PHYSICS 2017; 50:483001. [PMID: 29628530 PMCID: PMC5884432 DOI: 10.1088/1361-6463/aa8e83] [Citation(s) in RCA: 86] [Impact Index Per Article: 12.3] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/20/2023]
Abstract
The traditional picture of tissues, where they are treated as liquids defined by properties such as surface tension or viscosity has been redefined during the last few decades by the more fundamental question: under which conditions do tissues display liquid-like or solid-like behaviour? As a result, basic concepts arising from the treatment of tissues as solid matter, such as cellular jamming and glassy tissues, have shifted into the current focus of biophysical research. Here, we review recent works examining the phase states of tissue with an emphasis on jamming transitions in cancer. When metastasis occurs, cells gain the ability to leave the primary tumour and infiltrate other parts of the body. Recent studies have shown that a linkage between an unjamming transition and tumour progression indeed exists, which could be of importance when designing surgery and treatment approaches for cancer patients.
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Affiliation(s)
- Linda Oswald
- University of Leipzig, Faculty of Physics and Earth Sciences, Debye
Institute, Linnéstr. 5, 04103 Leipzig, Germany
| | - Steffen Grosser
- University of Leipzig, Faculty of Physics and Earth Sciences, Debye
Institute, Linnéstr. 5, 04103 Leipzig, Germany
| | - David M Smith
- Fraunhofer Institute for Cell Therapy and Immunology, Perlickstr. 1,
04103 Leipzig, Germany
| | - Josef A Käs
- University of Leipzig, Faculty of Physics and Earth Sciences, Debye
Institute, Linnéstr. 5, 04103 Leipzig, Germany
- Author to whom any correspondence should be addressed.
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