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Triguero-Platero G, Ziebert F, Bonilla LL. Coarse-graining the vertex model and its response to shear. Phys Rev E 2023; 108:044118. [PMID: 37978645 DOI: 10.1103/physreve.108.044118] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/08/2023] [Accepted: 09/21/2023] [Indexed: 11/19/2023]
Abstract
Tissue dynamics and collective cell motion are crucial biological processes. Their biological machinery is mostly known, and simulation models such as the active vertex model exist and yield reasonable agreement with experimental observations such as tissue fluidization or fingering. However, a good and well-founded continuum description for tissues remains to be developed. In this work, we derive a macroscopic description for a two-dimensional cell monolayer by coarse-graining the vertex model through the Poisson bracket approach. We obtain equations for cell density, velocity, and the cellular shape tensor. We then study the homogeneous steady states, their stability (which coincides with thermodynamic stability), and especially their behavior under an externally applied shear. Our results contribute to elucidate the interplay between flow and cellular shape. The obtained macroscopic equations present a good starting point for adding cell motion, morphogenetic, and other biologically relevant processes.
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Affiliation(s)
| | - Falko Ziebert
- Institute for Theoretical Physics, Heidelberg University, D-69120 Heidelberg, Germany
| | - Luis L Bonilla
- Department of Mathematics, Universidad Carlos III de Madrid, 28911 Leganés, Spain and G. Millán Institute for Fluid Dynamics, Nanoscience and Industrial Mathematics, Universidad Carlos III de Madrid, 28911 Leganés, Spain
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Adhikari J, Roy A, Chanda A, D A G, Thomas S, Ghosh M, Kim J, Saha P. Effects of surface patterning and topography on the cellular functions of tissue engineered scaffolds with special reference to 3D bioprinting. Biomater Sci 2023; 11:1236-1269. [PMID: 36644788 DOI: 10.1039/d2bm01499h] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022]
Abstract
The extracellular matrix (ECM) of the tissue organ exhibits a topography from the nano to micrometer range, and the design of scaffolds has been inspired by the host environment. Modern bioprinting aims to replicate the host tissue environment to mimic the native physiological functions. A detailed discussion on the topographical features controlling cell attachment, proliferation, migration, differentiation, and the effect of geometrical design on the wettability and mechanical properties of the scaffold are presented in this review. Moreover, geometrical pattern-mediated stiffness and pore arrangement variations for guiding cell functions have also been discussed. This review also covers the application of designed patterns, gradients, or topographic modulation on 3D bioprinted structures in fabricating the anisotropic features. Finally, this review accounts for the tissue-specific requirements that can be adopted for topography-motivated enhancement of cellular functions during the fabrication process with a special thrust on bioprinting.
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Affiliation(s)
- Jaideep Adhikari
- School of Advanced Materials, Green Energy and Sensor Systems, Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711103, India
| | - Avinava Roy
- Department of Metallurgy and Materials Engineering, Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711103, India
| | - Amit Chanda
- Department of Mechanical Engineering, Indian Institute of Technology Delhi, New Delhi, 110016, India
| | - Gouripriya D A
- Centre for Interdisciplinary Sciences, JIS Institute of Advanced Studies and Research (JISIASR) Kolkata, JIS University, GP Block, Salt Lake, Sector-5, West Bengal 700091, India.
| | - Sabu Thomas
- School of Chemical Sciences, MG University, Kottayam 686560, Kerala, India
| | - Manojit Ghosh
- Department of Metallurgy and Materials Engineering, Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711103, India
| | - Jinku Kim
- Department of Bio and Chemical Engineering, Hongik University, Sejong, 30016, South Korea.
| | - Prosenjit Saha
- Centre for Interdisciplinary Sciences, JIS Institute of Advanced Studies and Research (JISIASR) Kolkata, JIS University, GP Block, Salt Lake, Sector-5, West Bengal 700091, India.
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Investigation of Shape Transformations of Vesicles, Induced by Their Adhesion to Flat Substrates Characterized by Different Adhesion Strength. Int J Mol Sci 2021; 22:ijms222413406. [PMID: 34948201 PMCID: PMC8706551 DOI: 10.3390/ijms222413406] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/12/2021] [Revised: 12/09/2021] [Accepted: 12/10/2021] [Indexed: 11/29/2022] Open
Abstract
The adhesion of lipid vesicles to a rigid flat surface is investigated. We examine the influence of the membrane spontaneous curvature, adhesion strength, and the reduced volume on the stability and shape transformations of adhered vesicles. The minimal strength of the adhesion necessary to stabilize the shapes of adhered vesicles belonging to different shape classes is determined. It is shown that the budding of an adhered vesicle may be induced by the change of the adhesion strength. The importance of the free vesicle shape for its susceptibility to adhesion is discussed.
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Bonilla LL, Carpio A, Trenado C. Tracking collective cell motion by topological data analysis. PLoS Comput Biol 2020; 16:e1008407. [PMID: 33362204 PMCID: PMC7757824 DOI: 10.1371/journal.pcbi.1008407] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/07/2020] [Accepted: 09/28/2020] [Indexed: 01/12/2023] Open
Abstract
By modifying and calibrating an active vertex model to experiments, we have simulated numerically a confluent cellular monolayer spreading on an empty space and the collision of two monolayers of different cells in an antagonistic migration assay. Cells are subject to inertial forces and to active forces that try to align their velocities with those of neighboring ones. In agreement with experiments in the literature, the spreading test exhibits formation of fingers in the moving interfaces, there appear swirls in the velocity field, and the polar order parameter and the correlation and swirl lengths increase with time. Numerical simulations show that cells inside the tissue have smaller area than those at the interface, which has been observed in recent experiments. In the antagonistic migration assay, a population of fluidlike Ras cells invades a population of wild type solidlike cells having shape parameters above and below the geometric critical value, respectively. Cell mixing or segregation depends on the junction tensions between different cells. We reproduce the experimentally observed antagonistic migration assays by assuming that a fraction of cells favor mixing, the others segregation, and that these cells are randomly distributed in space. To characterize and compare the structure of interfaces between cell types or of interfaces of spreading cellular monolayers in an automatic manner, we apply topological data analysis to experimental data and to results of our numerical simulations. We use time series of data generated by numerical simulations to automatically group, track and classify the advancing interfaces of cellular aggregates by means of bottleneck or Wasserstein distances of persistent homologies. These techniques of topological data analysis are scalable and could be used in studies involving large amounts of data. Besides applications to wound healing and metastatic cancer, these studies are relevant for tissue engineering, biological effects of materials, tissue and organ regeneration.
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Affiliation(s)
- Luis L. Bonilla
- G. Millán Institute for Fluid Dynamics, Nanoscience & Industrial Mathematics, and Department of Mathematics, Universidad Carlos III de Madrid, Leganés, Spain
- Courant Institute of Mathematical Sciences, New York University, New York, United States of America
| | - Ana Carpio
- Courant Institute of Mathematical Sciences, New York University, New York, United States of America
- Departamento de Matemática Aplicada, Universidad Complutense de Madrid, Madrid, Spain
| | - Carolina Trenado
- G. Millán Institute for Fluid Dynamics, Nanoscience & Industrial Mathematics, and Department of Mathematics, Universidad Carlos III de Madrid, Leganés, Spain
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