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Elastic properties of self-assembled bilayer membranes: Analytic expressions via asymptotic expansion.
J Chem Phys. 2020 Jun 28; 152(24):244121.JC

Abstract

Bilayer membranes self-assembled from amphiphilic molecules are ubiquitous in biological and soft matter systems. The elastic properties of bilayer membranes are essential in determining the shape and structure of bilayers. A novel method to calculate the elastic moduli of the self-assembled bilayers within the framework of the self-consistent field theory is developed based on an asymptotic expansion of the order parameters in terms of the bilayer curvature. In particular, the asymptotic expansion method is used to derive analytic expressions of the elastic moduli, which allows us to design more efficient numerical schemes. The efficiency of the proposed method is illustrated by a model system composed of flexible amphiphilic chains dissolved in hydrophilic polymeric solvents.

Authors+Show Affiliations

Department of Mathematics, National University of Singapore, 21 Lower Kent Ridge Road, Singapore 119077, Singapore.School of Mathematics and Statistics, Guizhou University, Huaxi District, Guiyang 550025, People's Republic of China.Department of Physics and Astronomy, McMaster University, 1280 Main Street West, Hamilton, Ontario L8S 4M1, Canada.

Pub Type(s)

Journal Article

Language

eng

PubMed ID

32610980

Citation

Cai, Yongqiang, et al. "Elastic Properties of Self-assembled Bilayer Membranes: Analytic Expressions Via Asymptotic Expansion." The Journal of Chemical Physics, vol. 152, no. 24, 2020, p. 244121.
Cai Y, Li S, Shi AC. Elastic properties of self-assembled bilayer membranes: Analytic expressions via asymptotic expansion. J Chem Phys. 2020;152(24):244121.
Cai, Y., Li, S., & Shi, A. C. (2020). Elastic properties of self-assembled bilayer membranes: Analytic expressions via asymptotic expansion. The Journal of Chemical Physics, 152(24), 244121. https://doi.org/10.1063/5.0009734
Cai Y, Li S, Shi AC. Elastic Properties of Self-assembled Bilayer Membranes: Analytic Expressions Via Asymptotic Expansion. J Chem Phys. 2020 Jun 28;152(24):244121. PubMed PMID: 32610980.
* Article titles in AMA citation format should be in sentence-case
TY - JOUR T1 - Elastic properties of self-assembled bilayer membranes: Analytic expressions via asymptotic expansion. AU - Cai,Yongqiang, AU - Li,Sirui, AU - Shi,An-Chang, PY - 2020/7/3/entrez SP - 244121 EP - 244121 JF - The Journal of chemical physics JO - J Chem Phys VL - 152 IS - 24 N2 - Bilayer membranes self-assembled from amphiphilic molecules are ubiquitous in biological and soft matter systems. The elastic properties of bilayer membranes are essential in determining the shape and structure of bilayers. A novel method to calculate the elastic moduli of the self-assembled bilayers within the framework of the self-consistent field theory is developed based on an asymptotic expansion of the order parameters in terms of the bilayer curvature. In particular, the asymptotic expansion method is used to derive analytic expressions of the elastic moduli, which allows us to design more efficient numerical schemes. The efficiency of the proposed method is illustrated by a model system composed of flexible amphiphilic chains dissolved in hydrophilic polymeric solvents. SN - 1089-7690 UR - https://www.unboundmedicine.com/medline/citation/32610980/Elastic_properties_of_self-assembled_bilayer_membranes:_Analytic_expressions_via_asymptotic_expansion L2 - https://doi.org/10.1063/5.0009734 DB - PRIME DP - Unbound Medicine ER -
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