A Cellular Potts model simulating cell migration on and in matrix environments
Cell migration on and through extracellular matrix is fundamental ina wide variety of physiological and pathological phenomena, and isexploited in scaffold-based tissue engineering. Migration isregulated by a number of extracellular matrix- or cell-derivedbiophysical parameters, such as matrix fiber...
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AIMS Press
2012-11-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.235 |
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| author | Marco Scianna Luigi Preziosi Katarina Wolf |
| author_facet | Marco Scianna Luigi Preziosi Katarina Wolf |
| author_sort | Marco Scianna |
| collection | DOAJ |
| description | Cell migration on and through extracellular matrix is fundamental ina wide variety of physiological and pathological phenomena, and isexploited in scaffold-based tissue engineering. Migration isregulated by a number of extracellular matrix- or cell-derivedbiophysical parameters, such as matrix fiber orientation, pore size,and elasticity, or cell deformation, proteolysis, and adhesion. Wehere present an extended Cellular Potts Model (CPM) able toqualitatively and quantitatively describe cell migrationefficiencies and phenotypes both on two-dimensional substrates andwithin three-dimensional matrices, close to experimental evidence.As distinct features of our approach, cells are modeled ascompartmentalized discrete objects, differentiated into nucleusand cytosolic region, while the extracellular matrix iscomposed of a fibrous mesh and a homogeneous fluid. Our modelprovides a strong correlation of the directionality of migrationwith the topological extracellular matrix distribution and abiphasic dependence of migration on the matrix structure, density,adhesion, and stiffness, and, moreover, simulates that celllocomotion in highly constrained fibrillar obstacles requires thedeformation of the cell's nucleus and/or the activity ofcell-derived proteolysis. In conclusion, we here propose amathematical modeling approach that serves to characterize cellmigration as a biological phenomenon in healthy and diseased tissuesand in engineering applications. |
| format | Article |
| id | doaj-art-185d99a1b6884801b2f82b9e13503355 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2012-11-01 |
| publisher | AIMS Press |
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| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-185d99a1b6884801b2f82b9e135033552025-01-24T02:25:25ZengAIMS PressMathematical Biosciences and Engineering1551-00182012-11-0110123526110.3934/mbe.2013.10.235A Cellular Potts model simulating cell migration on and in matrix environmentsMarco Scianna0Luigi Preziosi1Katarina Wolf2Department of Mathematics, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129, TorinoDepartment of Mathematics, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129, TorinoDepartment of Mathematics, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129, TorinoCell migration on and through extracellular matrix is fundamental ina wide variety of physiological and pathological phenomena, and isexploited in scaffold-based tissue engineering. Migration isregulated by a number of extracellular matrix- or cell-derivedbiophysical parameters, such as matrix fiber orientation, pore size,and elasticity, or cell deformation, proteolysis, and adhesion. Wehere present an extended Cellular Potts Model (CPM) able toqualitatively and quantitatively describe cell migrationefficiencies and phenotypes both on two-dimensional substrates andwithin three-dimensional matrices, close to experimental evidence.As distinct features of our approach, cells are modeled ascompartmentalized discrete objects, differentiated into nucleusand cytosolic region, while the extracellular matrix iscomposed of a fibrous mesh and a homogeneous fluid. Our modelprovides a strong correlation of the directionality of migrationwith the topological extracellular matrix distribution and abiphasic dependence of migration on the matrix structure, density,adhesion, and stiffness, and, moreover, simulates that celllocomotion in highly constrained fibrillar obstacles requires thedeformation of the cell's nucleus and/or the activity ofcell-derived proteolysis. In conclusion, we here propose amathematical modeling approach that serves to characterize cellmigration as a biological phenomenon in healthy and diseased tissuesand in engineering applications.https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.235cellular potts modelextracellularmatrixcell migration. |
| spellingShingle | Marco Scianna Luigi Preziosi Katarina Wolf A Cellular Potts model simulating cell migration on and in matrix environments Mathematical Biosciences and Engineering cellular potts model extracellularmatrix cell migration. |
| title | A Cellular Potts model simulating cell migration on and in matrix environments |
| title_full | A Cellular Potts model simulating cell migration on and in matrix environments |
| title_fullStr | A Cellular Potts model simulating cell migration on and in matrix environments |
| title_full_unstemmed | A Cellular Potts model simulating cell migration on and in matrix environments |
| title_short | A Cellular Potts model simulating cell migration on and in matrix environments |
| title_sort | cellular potts model simulating cell migration on and in matrix environments |
| topic | cellular potts model extracellularmatrix cell migration. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.235 |
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