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A multiscale approach to curvature modulated sorting in biological membranes

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A multiscale approach to curvature modulated sorting in biological membranes. / Mercker, M.; Ptashnyk, M.; Kuhnle, J.; Hartmann, D.; Weiss, M.; Jager, W.

In: Journal of Theoretical Biology, Vol. 301, No. 5, 05.2012, p. 67-82.

Research output: Contribution to journalArticle

Harvard

Mercker, M, Ptashnyk, M, Kuhnle, J, Hartmann, D, Weiss, M & Jager, W 2012, 'A multiscale approach to curvature modulated sorting in biological membranes' Journal of Theoretical Biology, vol 301, no. 5, pp. 67-82.

APA

Mercker, M., Ptashnyk, M., Kuhnle, J., Hartmann, D., Weiss, M., & Jager, W. (2012). A multiscale approach to curvature modulated sorting in biological membranes. Journal of Theoretical Biology, 301(5), 67-82doi: 10.1016/j.jtbi.2012.01.039

Vancouver

Mercker M, Ptashnyk M, Kuhnle J, Hartmann D, Weiss M, Jager W. A multiscale approach to curvature modulated sorting in biological membranes. Journal of Theoretical Biology. 2012 May;301(5):67-82.

Author

Mercker, M.; Ptashnyk, M.; Kuhnle, J.; Hartmann, D.; Weiss, M.; Jager, W. / A multiscale approach to curvature modulated sorting in biological membranes.

In: Journal of Theoretical Biology, Vol. 301, No. 5, 05.2012, p. 67-82.

Research output: Contribution to journalArticle

Bibtex - Download

@article{4871d7aa03f64c688bc86e40347c312a,
title = "A multiscale approach to curvature modulated sorting in biological membranes",
author = "M. Mercker and M. Ptashnyk and J. Kuhnle and D. Hartmann and M. Weiss and W. Jager",
year = "2012",
volume = "301",
number = "5",
pages = "67--82",
journal = "Journal of Theoretical Biology",
issn = "0022-5193",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

T1 - A multiscale approach to curvature modulated sorting in biological membranes

A1 - Mercker,M.

A1 - Ptashnyk,M.

A1 - Kuhnle,J.

A1 - Hartmann,D.

A1 - Weiss,M.

A1 - Jager,W.

AU - Mercker,M.

AU - Ptashnyk,M.

AU - Kuhnle,J.

AU - Hartmann,D.

AU - Weiss,M.

AU - Jager,W.

PY - 2012/5

Y1 - 2012/5

N2 - Combining different theoretical approaches, curvature modulated sorting in lipid bilayers fixed on non-planar surfaces is investigated. First, we present a continuous model of lateral membrane dynamics, described by a nonlinear PDE of fourth order. We then prove the existence and uniqueness of solutions of the presented model and simulate membrane dynamics using a finite element approach. Adopting a truly multiscale approach, we use dissipative particle dynamics (DPD) to parameterize the continuous model, i.e. to derive a corresponding macroscopic model.Our model predicts that curvature modulated sorting can occur if lipids or proteins differ in at least one of their macroscopic elastic moduli. Gradients in the spontaneous curvature, the bending rigidity or the Gaussian rigidity create characteristic (metastable) curvature dependent patterns. The structure and dynamics of these membrane patterns are investigated qualitatively and quantitatively using simulations. These show that the decomposition time decreases and the stability of patterns increases with enlarging moduli differences or curvature gradients. Presented phase diagrams allow to estimate if and how stable curvature modulated sorting will occur for a given geometry and set of elastic parameters. In addition, we find that the use of upscaled models is imperative studying membrane dynamics. Compared with common linear approximations the system can evolve to different (meta)stable patterns. This emphasizes the importance of parameters and realistic dynamics in mathematical modeling of biological membranes. © 2012 Elsevier Ltd.

AB - Combining different theoretical approaches, curvature modulated sorting in lipid bilayers fixed on non-planar surfaces is investigated. First, we present a continuous model of lateral membrane dynamics, described by a nonlinear PDE of fourth order. We then prove the existence and uniqueness of solutions of the presented model and simulate membrane dynamics using a finite element approach. Adopting a truly multiscale approach, we use dissipative particle dynamics (DPD) to parameterize the continuous model, i.e. to derive a corresponding macroscopic model.Our model predicts that curvature modulated sorting can occur if lipids or proteins differ in at least one of their macroscopic elastic moduli. Gradients in the spontaneous curvature, the bending rigidity or the Gaussian rigidity create characteristic (metastable) curvature dependent patterns. The structure and dynamics of these membrane patterns are investigated qualitatively and quantitatively using simulations. These show that the decomposition time decreases and the stability of patterns increases with enlarging moduli differences or curvature gradients. Presented phase diagrams allow to estimate if and how stable curvature modulated sorting will occur for a given geometry and set of elastic parameters. In addition, we find that the use of upscaled models is imperative studying membrane dynamics. Compared with common linear approximations the system can evolve to different (meta)stable patterns. This emphasizes the importance of parameters and realistic dynamics in mathematical modeling of biological membranes. © 2012 Elsevier Ltd.

U2 - 10.1016/j.jtbi.2012.01.039

DO - 10.1016/j.jtbi.2012.01.039

M1 - Article

JO - Journal of Theoretical Biology

JF - Journal of Theoretical Biology

SN - 0022-5193

IS - 5

VL - 301

SP - 67

EP - 82

ER -

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