Effects of 3D geometries on cellular gradient sensing and polarization

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Effects of 3D geometries on cellular gradient sensing and polarization. / Spill, Fabian; Andasari, Vivi; Mak, Michael; Kamm, Roger D.; Zaman, Muhammad H.

In: Physical biology, Vol. 13, No. 3, 036008, 24.06.2016.

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Spill, Fabian ; Andasari, Vivi ; Mak, Michael ; Kamm, Roger D. ; Zaman, Muhammad H. / Effects of 3D geometries on cellular gradient sensing and polarization. In: Physical biology. 2016 ; Vol. 13, No. 3.

Bibtex

@article{1320f3c467cf4790bcc132e7c8a3da41,
title = "Effects of 3D geometries on cellular gradient sensing and polarization",
abstract = "During cell migration, cells become polarized, change their shape, and move in response to various internal and external cues. Cell polarization is defined through the spatio-temporal organization of molecules such as PI3K or small GTPases, and is determined by intracellular signaling networks. It results in directional forces through actin polymerization and myosin contractions. Many existing mathematical models of cell polarization are formulated in terms of reaction-diffusion systems of interacting molecules, and are often defined in one or two spatial dimensions. In this paper, we introduce a 3D reaction-diffusion model of interacting molecules in a single cell, and find that cell geometry has an important role affecting the capability of a cell to polarize, or change polarization when an external signal changes direction. Our results suggest a geometrical argument why more roundish cells can repolarize more effectively than cells which are elongated along the direction of the original stimulus, and thus enable roundish cells to turn faster, as has been observed in experiments. On the other hand, elongated cells preferentially polarize along their main axis even when a gradient stimulus appears from another direction. Furthermore, our 3D model can accurately capture the effect of binding and unbinding of important regulators of cell polarization to and from the cell membrane. This spatial separation of membrane and cytosol, not possible to capture in 1D or 2D models, leads to marked differences of our model from comparable lower-dimensional models.",
keywords = "cell migration, cell polarization, cell shape, reaction-diffusion model",
author = "Fabian Spill and Vivi Andasari and Michael Mak and Kamm, {Roger D.} and Zaman, {Muhammad H.}",
year = "2016",
month = jun,
day = "24",
doi = "10.1088/1478-3975/13/3/036008",
language = "English",
volume = "13",
journal = "Physical biology",
issn = "1478-3967",
publisher = "IOP Publishing",
number = "3",

}

RIS

TY - JOUR

T1 - Effects of 3D geometries on cellular gradient sensing and polarization

AU - Spill, Fabian

AU - Andasari, Vivi

AU - Mak, Michael

AU - Kamm, Roger D.

AU - Zaman, Muhammad H.

PY - 2016/6/24

Y1 - 2016/6/24

N2 - During cell migration, cells become polarized, change their shape, and move in response to various internal and external cues. Cell polarization is defined through the spatio-temporal organization of molecules such as PI3K or small GTPases, and is determined by intracellular signaling networks. It results in directional forces through actin polymerization and myosin contractions. Many existing mathematical models of cell polarization are formulated in terms of reaction-diffusion systems of interacting molecules, and are often defined in one or two spatial dimensions. In this paper, we introduce a 3D reaction-diffusion model of interacting molecules in a single cell, and find that cell geometry has an important role affecting the capability of a cell to polarize, or change polarization when an external signal changes direction. Our results suggest a geometrical argument why more roundish cells can repolarize more effectively than cells which are elongated along the direction of the original stimulus, and thus enable roundish cells to turn faster, as has been observed in experiments. On the other hand, elongated cells preferentially polarize along their main axis even when a gradient stimulus appears from another direction. Furthermore, our 3D model can accurately capture the effect of binding and unbinding of important regulators of cell polarization to and from the cell membrane. This spatial separation of membrane and cytosol, not possible to capture in 1D or 2D models, leads to marked differences of our model from comparable lower-dimensional models.

AB - During cell migration, cells become polarized, change their shape, and move in response to various internal and external cues. Cell polarization is defined through the spatio-temporal organization of molecules such as PI3K or small GTPases, and is determined by intracellular signaling networks. It results in directional forces through actin polymerization and myosin contractions. Many existing mathematical models of cell polarization are formulated in terms of reaction-diffusion systems of interacting molecules, and are often defined in one or two spatial dimensions. In this paper, we introduce a 3D reaction-diffusion model of interacting molecules in a single cell, and find that cell geometry has an important role affecting the capability of a cell to polarize, or change polarization when an external signal changes direction. Our results suggest a geometrical argument why more roundish cells can repolarize more effectively than cells which are elongated along the direction of the original stimulus, and thus enable roundish cells to turn faster, as has been observed in experiments. On the other hand, elongated cells preferentially polarize along their main axis even when a gradient stimulus appears from another direction. Furthermore, our 3D model can accurately capture the effect of binding and unbinding of important regulators of cell polarization to and from the cell membrane. This spatial separation of membrane and cytosol, not possible to capture in 1D or 2D models, leads to marked differences of our model from comparable lower-dimensional models.

KW - cell migration

KW - cell polarization

KW - cell shape

KW - reaction-diffusion model

UR - http://www.scopus.com/inward/record.url?scp=84977621203&partnerID=8YFLogxK

U2 - 10.1088/1478-3975/13/3/036008

DO - 10.1088/1478-3975/13/3/036008

M3 - Article

C2 - 27345945

AN - SCOPUS:84977621203

VL - 13

JO - Physical biology

JF - Physical biology

SN - 1478-3967

IS - 3

M1 - 036008

ER -