Challenges in theoretical investigations of configurations of lipid membranes

doi:10.1088/1674-1056/22/2/028701

Abstract We report some key results in the theoretical investigations of configurations of lipid membranes and present several challenges in this field, which involve (i) the exact solutions to the shape equation of lipid vesicles, (ii) the exact solutions to the governing equations of open lipid membranes, (iii) the neck condition of two-phase vesicles in the budding state, (iv) the nonlocal theory of membrane elasticity, and (v) the relationship between the symmetry and the magnitude of the free energy.

Keywords: configuration lipid membrane

Received: 24 December 2012
Accepted manuscript online:

PACS:	87.10.-e	(General theory and mathematical aspects)
	87.16.D-	(Membranes, bilayers, and vesicles)
	02.40.Hw	(Classical differential geometry)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11274046).

Corresponding Authors: Tu Zhan-Chun
E-mail: tuzc@bnu.edu.cn

Cite this article:

Tu Zhan-Chun (涂展春) Challenges in theoretical investigations of configurations of lipid membranes 2013 Chin. Phys. B 22 028701

[1]	Baumgart T, Das S, Deserno M, Du Q, Lipowsky R, Ouyang Z, Tu Z, Yin Y and Zhang P 2012 Report on the KITPC Program "Membrane Biophysics \| Theory and Experiment" (Beijing: Kavli Institute for Theoretical Physics, China)
[2]	Helfrich W 1973 Z. Naturforsch. C28 693
[3]	Tu Z C and Ouyang Z C 2008 J. Comput. Theor. Nanosci.5 422
[4]	Lipowsky R 1991 Nature349 475
[5]	Seifert U 1997 Adv. Phys.46 13
[6]	Ouyang Z C, Liu J X and Xie Y Z 1999 Geometric Methods inthe Elastic Theory of Membranes in Liquid Crystal Phases (Singapore: WorldScientific)
[7]	Tu Z C 2011 J. Geom. Symmetry Phys.24 45
[8]	Mladenov I M, Djondjorov P A, Hadzhilazova M T and Vassilev V M 2013 Commun. Theor. Phys. in press
[9]	Ouyang Z C and Helfrich W 1987 Phys. Rev. Lett.59 2486
[10]	Ouyang Z C and Helfrich W 1989 Phys. Rev. A39 5280
[11]	Hu J and Ouyang Z C 1993 Phys. Rev. E47 (1993) 461
[12]	Hu J and Ouyang Z C 1995 Chin. Phys.4 81
[13]	Zheng W and Liu J 1993 Phys. Rev. E48 2856
[14]	Seifert U, Berndl K and Lipowsky R 1991 Phys. Rev. A44 1182
[15]	Podgornik R, Svetina S and Žekš B 1995 Phys. Rev. E51 544
[16]	Naito H, Okuda M and Ou-Yang Z 1995 Phys. Rev. Lett.74 4345
[17]	Konopelchenko B 1997 Phys. Lett. B414 58
[18]	Mladenov I 2002 Eur. Phys. J. B29 327
[19]	Arreaga G, Capovilla R, Chryssomalakos C and Guven J 2002 Phys. Rev. E65 031801
[20]	Vassilev V, Djondjorov P and Mladenov I 2008 J. Phys. A: Math. Theor.41 435201
[21]	Zhou X 2010 Chin. Phys. B19 058702
[22]	Zhang S and Ouyang Z C 1996 Phys. Rev. E53 4206
[23]	Zhang S 1997 Chin. Phys.6 641
[24]	Ouyang Z C 1990 Phys. Rev. A41 4517
[25]	Naito H, Okuda M and Ouyang Z C 1993 Phys. Rev. E48 2304
[26]	Naito H, Okuda M and Ouyang Z C 1996 Phys. Rev. E54 2816
[27]	Castro-Villarreal P and Guven J 2007 Phys. Rev. E76 011922
[28]	Capovilla R, Guven J and Santiago J A 2002 Phys. Rev. E66 021607
[29]	Tu Z C and Ouyang Z C 2003 Phys. Rev. E68 061915
[30]	Capovilla R and Guven J 2002 J. Phys. A: Math. Gen.35 6233
[31]	Tu Z C and Ouyang Z C 2004 J. Phys. A: Math. Gen.37 11407
[32]	Tu Z C 2010 J. Chem. Phys.132 084111
[33]	Willmore T 1982 An Introduction to Differential Geometry (Oxford: Oxford University Press)
[34]	Du Q, Liu C and Wang X 2006 J. Comput. Phys.212 757
[35]	Das S L, Jenkins J T and Baumgart T 2009 Europhys. Lett.86 48003
[36]	Jülicher F and Lipowsky R 1996 Phys. Rev. E53 2670
[37]	Sheetz M and Singer S 1974 Proc. Natl. Acad. Sci.71 4457
[38]	Evans E 1980 Biophys. J.30 265
[39]	Svetina S, Brumen M and Žekš B 1985 Stud. Biophys.110 177
[40]	Miao L, Seifert U, Wortis M and Döbereiner H 1994 Phys. Rev. E49 5389
[41]	Ouyang Z C, Su Z B and Wang C L 1997 Phys. Rev. Lett.78 4055
[42]	Tu Z C and Ouyang Z C 2002 Phys. Rev. B65 233407
[43]	Liu Z, Suenaga K, Harris P and Iijima S 2009 Phys. Rev. Lett.102 015501
[44]	Huang J, Ding F, Yakobson B, Lu P, Qi L and Li J 2009 Proc. Natl. Acad. Sci.106 10103
[45]	Hotani H 1984 J. Mol. Biol.178 113
[46]	Phillips R, Kondev J and Theriot J 2009 Physcical Biology of the Cell (New York: Garland Science); See also the Chinese edition translated by Tu Z C et al. 2012 (Beijing: Science Press)

[1]	Configurational entropy-induced phase transition in spinel LiMn₂O₄ Wei Hu(胡伟), Wen-Wei Luo(罗文崴), Mu-Sheng Wu(吴木生), Bo Xu(徐波), and Chu-Ying Ouyang(欧阳楚英). Chin. Phys. B, 2022, 31(9): 098202.
[2]	Isotope shift of the 2s ²S_1/2 $\rightarrow$ 2p ²P_1/2,3/2 transitions of Li-like Ca ions Denghong Zhang(张登红), Fangjun Zhang(张芳军), Xiaobin Ding(丁晓彬), and Chenzhong Dong(董晨钟). Chin. Phys. B, 2021, 30(4): 043102.
[3]	Strain and interfacial engineering to accelerate hydrogen evolution reaction of two-dimensional phosphorus carbide Tao Huang(黄韬), Yuan Si(思源), Hong-Yu Wu(吴宏宇), Li-Xin Xia(夏立新), Yu Lan(蓝郁), Wei-Qing Huang(黄维清), Wang-Yu Hu(胡望宇), and Gui-Fang Huang(黄桂芳). Chin. Phys. B, 2021, 30(2): 027101.
[4]	Theoretical study of the hyperfine interaction constants, Landé g-factors, and electric quadrupole moments for the low-lying states of the ⁶¹Ni^q+ ( q=11, 12, 14 , and 15) ions Ting-Xian Zhang(张婷贤), Yong-Hui Zhang(张永慧), Cheng-Bin Li(李承斌), and Ting-Yun Shi(史庭云). Chin. Phys. B, 2021, 30(1): 013101.
[5]	Hybrid-PIC/PIC simulations on ion extraction by electric field in laser-induced plasma Xiao-Yong Lu(卢肖勇), Cheng Yuan(袁程), Xiao-Zhang Zhang(张小章), Zhi-Zhong Zhang(张志忠). Chin. Phys. B, 2020, 29(4): 045201.
[6]	Effects of electron correlation and the Breit interaction on one- and two-electron one-photon transitions in double K hole states of He-like ions (10≤Z≤47) Xiaobin Ding(丁晓彬), Cunqiang Wu(吴存强), Mingxin Cao(曹铭欣), Denghong Zhang(张登红), Mingwu Zhang(张明武), Yingli Xue(薛迎利), Deyang Yu(于得洋), Chenzhong Dong(董晨钟). Chin. Phys. B, 2020, 29(3): 033101.
[7]	Lattice configurations in spin-1 Bose–Einstein condensates with the SU(3) spin–orbit coupling Ji-Guo Wang(王继国)†, Yue-Qing Li(李月晴), and Yu-Fei Dong(董雨菲). Chin. Phys. B, 2020, 29(10): 100304.
[8]	Giant topological Hall effect of ferromagnetic kagome metal Fe₃Sn₂ Qi Wang(王琦), Qiangwei Yin(殷蔷薇), Hechang Lei(雷和畅). Chin. Phys. B, 2020, 29(1): 017101.
[9]	Accurate all-electron calculation on the vibrational and rotational spectra of ground states for O₂ and its ions Qiao-Xia Wang(王巧霞), Yu-Min Wang(王玉敏), Ri Ma(马日), Bing Yan(闫冰). Chin. Phys. B, 2019, 28(7): 073101.
[10]	Real-space observation on standing configurations of phenylacetylene on Cu (111) by scanning probe microscopy Jing Qi(戚竞), Yi-Xuan Gao(高艺璇), Li Huang(黄立), Xiao Lin(林晓), Jia-Jia Dong(董佳家), Shi-Xuan Du(杜世萱), Hong-Jun Gao(高鸿钧). Chin. Phys. B, 2019, 28(6): 066801.
[11]	Low-lying electronic states of aluminum monoiodide Xiang Yuan(袁翔), Shuang Yin(阴爽), Yi Lian(连艺), Pei-Yuan Yan(颜培源), Hai-Feng Xu(徐海峰), Bing Yan(闫冰). Chin. Phys. B, 2019, 28(4): 043101.
[12]	Explicitly correlated configuration interaction investigation on low-lying states of SiO⁺ and SiO Rui Li(李瑞), Gui-Ying Liang(梁桂颖), Xiao-He Lin(林晓贺), Yu-Hao Zhu(朱宇豪), Shu-Tao Zhao(赵书涛), Yong Wu(吴勇). Chin. Phys. B, 2019, 28(4): 043102.
[13]	Strong coupling in silver-molecular J-aggregates-silver structure sandwiched between two dielectric media Kunwei Pang(庞昆维), Haihong Li(李海红), Gang Song(宋钢), Li Yu(于丽). Chin. Phys. B, 2019, 28(12): 127301.
[14]	Influence of wall friction on granular column Yang-Yang Yang(杨阳阳), Sheng Zhang(张晟), Ping Lin(林平), Jiang-Feng Wan(万江锋), Lei Yang(杨磊), Shurong Ding(丁淑蓉). Chin. Phys. B, 2019, 28(1): 018104.
[15]	Determination of static dipole polarizabilities of Yb atom Zhi-Ming Tang(唐志明), Yan-Mei Yu(于艳梅), Chen-Zhong Dong(董晨钟). Chin. Phys. B, 2018, 27(6): 063101.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Challenges in theoretical investigations of configurations of lipid membranes

Cite this article:

Online attention