Teardrop shapes minimize bending energy of fusion pores connecting planar bilayers

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 88, Issue 6, 2013, Pages

  Ryham, Rolf J ^a   Ward, Mark A ^a   Cohen, Fredric S ^b  

^a FORDHAM UNIVERSITY   (United States)

^b RUSH UNIVERSITY MEDICAL CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BENDING ENERGIES; BILAYER MEMBRANES; DEFORMABLE SURFACES; LIPID COMPOSITION; NUMERICAL GRADIENT; ORIENTATION FIELDS; PENALTY FORMULATION; REFLECTIONAL SYMMETRY;

CONDENSED MATTER PHYSICS; PHYSICS;

MONOLAYERS;

ARTICLE; BIOLOGICAL MODEL; BIOMECHANICS; CELL MEMBRANE; LIPID BILAYER; MECHANICS; MEMBRANE FUSION; METABOLISM; POROSITY; THERMODYNAMICS;

BIOMECHANICAL PHENOMENA; CELL MEMBRANE; LIPID BILAYERS; MECHANICAL PROCESSES; MEMBRANE FUSION; MODELS, BIOLOGICAL; POROSITY; THERMODYNAMICS;

EID: 84890497137     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.88.062701     Document Type: Article

References (40)

1. Y. A. Chizmadzhev, F. S. Cohen, A. Shcherbakov, and J. Zimmerberg, Biophys. J. BIOJAU 0006-3495 10.1016/S0006-3495(95)80119-0 69, 2489 (1995).
2. Y. A. Chizmadzhev, P. I. Kuzmin, D. A. Kumenko, J. Zimmerberg, and F. S. Cohen, Biophys. J. BIOJAU 0006-3495 10.1016/S0006-3495(00)76771-3 78, 2241 (2000).
3. M. B. Jackson, J. Membr. Biol. JMBBBO 0022-2631 10.1007/s00232-009-9209-x 231, 101 (2009).
4. V. S. Markin and J. P. Albanesi, Biophys. J. BIOJAU 0006-3495 10.1016/S0006-3495(02)75432-5 82, 693 (2002).
5. D. P. Siegel, Biophys. J. BIOJAU 0006-3495 10.1529/biophysj.108.140152 95, 5200 (2008).
6. J. Yoo, M. B. Jackson, and Q. Cui, Biophys. J. BIOJAU 0006-3495 10.1016/j.bpj.2012.12.043 104, 841 (2013).
7. Z.-C. Ou-Yang, J.-X. Liu, and Y.-Z. Xie, Geometric Methods in the Elastic Theory of Membranes in Liquid Crystal Phases, Advanced Series on Theoretical Physical Science Vol. 2 (World Scientific, Singapore, 1999).
8. P. G. de Gennes and J. Prost, The Physics of Liquid Crystals (Clarendon Press, Oxford, UK, 1993).
9. D. J. Steigmann, Arch. Ration. Mech. Anal. AVRMAW 0003-9527 10.1007/s002050050183 150, 127 (1999).
10. W. Helfrich, Z. Naturforsch. C 28, 693 (1973).
11. Y. Kozlovsky, L. V. Chernomordik, and M. M. Kozlov, Biophys. J. BIOJAU 0006-3495 10.1016/S0006-3495(02)75274-0 83, 2634 (2002).
12. P. I. Kuzmin, S. A. Akimov, Y. A. Chizmadzhev, J. Zimmerberg, and F. S. Cohen, Biophys. J. BIOJAU 0006-3495 10.1529/biophysj.104.048223 88, 1120 (2005).
13. M. J. Stephen and J. P. Straley, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.46.617 46, 617 (1974).
14. R. Ryham, M. Ward, F. Cohen, and R. Eisenberg, Calculating Minimal Energy Shapes of Fusion Pores. Poster session presented at: Biophysical Society 97th Annual Meeting; 2013 Feb, Philadelphia, PA.
15. S. Dai and K. Promislow, Proc. R. Soc. London, Ser. A 1364-5021 10.1098/rspa.2012.0505 469, 1471 (2013).
16. M. Droske and M. Rumpf, Interfaces Free Boundaries 1463-9963 10.4171/IFB/105 6, 361 (2004).
17. Q. Du, C. Liu, R. Ryham, and X. Wang, Commun. Pure Appl. Anal. 1534-0392 10.3934/cpaa.2005.4.537 4, 537 (2005).
18. Q. Du, C. Liu, and X. Wang, J. Comput. Phys. JCTPAH 0021-9991 10.1016/j.jcp.2004.01.029 198, 450 (2004).
19. P. B. Canham, J. Theor. Biol. JTBIAP 0022-5193 10.1016/S0022-5193(70) 80032-7 26, 61 (1970).
20. H.-G. Döbereiner, E. Evans, M. Kraus, U. Seifert, and M. Wortis, Phys. Rev. E 1063-651X 10.1103/PhysRevE.55.4458 55, 4458 (1997).
21. C. Pozrikidis, Math. Med. Biol. 1477-8599 10.1093/imammb/dqh021 22, 34 (2005).
22. J. Sohn, Y.-H. Tseng, S. Li, A. Voigt, and J. Lowengrub, J. Comput. Phys. JCTPAH 0021-9991 10.1016/j.jcp.2009.09.017 229, 119 (2010).
23. L. Simon, Comm. Anal. Geom. 1, 281 (1993).
24. W. Wang, P. Zhang, and Z. Zhang, Arch. Ration. Mech. Anal. AVRMAW 0003-9527 10.1007/s00205-012-0548-x 206, 953 (2012).
25. T. J. Willmore, Riemannian Geometry (Oxford Science Publications, The Clarendon Press, Oxford University Press, New York, 1993).
26. Y. Kozlovsky and M. M. Kozlov, Biophys. J. BIOJAU 0006-3495 10.1016/S0006-3495(02)75450-7 82, 882 (2002).
27. S. Tristram-Nagle and J. F. Nagle, Biochim. Biophys. Acta 0304-4157 10.1016/S0304-4157(00)00016-2 1469, 159 (2000).
28. D. Hu, P. Zhang, and W. E, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.75.041605 75, 041605 (2007).
29. P. Song, D. Hu, and P. Zhang, Commun. Comput. Phys. 3, 794 (2008).
30. S. Bartels, G. Dolzmann, and R. H. Nochetto, ESAIM: Math. Modell. Nume. Anal. RMMAEV 0764-583X 10.1051/m2an/2009040 44, 1 (2010).
31. J. B. Fournier and P. Galatola, J. Phys. II JPAHER 1155-4312 10.1051/jp2:1997199 7, 1509 (1997).
32. N. Uchida, Phys. Rev. E 1063-651X 10.1103/PhysRevE.66.040902 66, 040902 (2002).
33. S. Bartels, G. Dolzmann, R. H. Nochetto, and A. Raisch, Interfaces Free Boundaries 1463-9963 10.4171/IFB/281 14, 231 (2012).
34. M. Hamm and M. M. Kozlov, Eur. Phys. J. E EPJSFH 1292-8941 10.1007/s101890070003 3, 323 (2000).
35. R. S. Eisenberg, J. Membr. Biol. JMBBBO 0022-2631 10.1007/s002329900026 150, 1 (1996).
36. R. S. Eisenberg, J. Membr. Biol. JMBBBO 0022-2631 10.1007/s002329900554 171, 1 (1999).
37. A. Syganow and E. von Kitzing, Biophys. J. BIOJAU 0006-3495 10.1016/S0006-3495(99)77242-5 76, 768 (1999).
38. E. Evans and W. Rawicz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.64.2094 64, 2094 (1990).
39. N. Fuller and R. P. Rand, Biophys. J. BIOJAU 0006-3495 10.1016/S0006-3495(01)75695-0 81, 243 (2001).
40. Z. Chen and R. P. Rand, Biophys. J BIOJAU 0006-3495 10.1016/S0006- 3495(97)78067-6 73, 267 (1997).