Kinks, rings, and rackets in filamentous structures

被引:171
作者
Cohen, AE
Mahadevan, L
机构
[1] Univ Cambridge, Cavendish Lab, Semicond Phys Grp, Cambridge CB3 0WA, England
[2] Univ Cambridge, Dept Appl Math & Theoret Phys, Ctr Math Sci, Cambridge CB3 0WA, England
关键词
D O I
10.1073/pnas.1534600100
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
Carbon nanotubes and biological filaments each spontaneously assemble into kinked helices, rings, and "tennis racket" shapes due to competition between elastic and interfacial effects. We show that the slender geometry is a more important determinant of the morphology than any molecular details. Our mesoscopic continuum theory is capable of quantifying observations of these structures and is suggestive of their occurrence in other filamentous assemblies as well.
引用
收藏
页码:12141 / 12146
页数:6
相关论文
共 45 条
[11]   RELATING CARBON TUBULES [J].
DUNLAP, BI .
PHYSICAL REVIEW B, 1994, 49 (08) :5643-5650
[12]   Buckling microtubules in vesicles [J].
Elbaum, M ;
Fygenson, DK ;
Libchaber, A .
PHYSICAL REVIEW LETTERS, 1996, 76 (21) :4078-4081
[13]   HIDDEN DYNAMICS IN RAPID CHANGES OF BILAYER SHAPE [J].
EVANS, E ;
YEUNG, A .
CHEMISTRY AND PHYSICS OF LIPIDS, 1994, 73 (1-2) :39-56
[14]   ONE-DIMENSIONAL DISLOCATIONS .1. STATIC THEORY [J].
FRANK, FC ;
VANDERMERWE, JH .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1949, 198 (1053) :205-216
[15]   Microtubules and vesicles under controlled tension [J].
Fygenson, DK ;
Elbaum, M ;
Shraiman, B ;
Libchaber, A .
PHYSICAL REVIEW E, 1997, 55 (01) :850-859
[16]   Mechanics of microtubule-based membrane extension [J].
Fygenson, DK ;
Marko, JF ;
Libchaber, A .
PHYSICAL REVIEW LETTERS, 1997, 79 (22) :4497-4500
[17]   Kinetically controlled growth of helical and zigzag shapes of carbon nanotubes [J].
Gao, RP ;
Wang, ZL ;
Fan, SS .
JOURNAL OF PHYSICAL CHEMISTRY B, 2000, 104 (06) :1227-1234
[18]   A new determination of the shear modulus of the human erythrocyte membrane using optical tweezers [J].
Hénon, S ;
Lenormand, G ;
Richert, A ;
Gallet, F .
BIOPHYSICAL JOURNAL, 1999, 76 (02) :1145-1151
[19]   Growth and microstructure of catalytically produced coiled carbon nanotubes [J].
Hernadi, K ;
Thiên-Nga, L ;
Forró, L .
JOURNAL OF PHYSICAL CHEMISTRY B, 2001, 105 (50) :12464-12468
[20]   HELICALLY COILED CAGE FORMS OF GRAPHITIC CARBON [J].
IHARA, S ;
ITOH, S ;
KITAKAMI, J .
PHYSICAL REVIEW B, 1993, 48 (08) :5643-5647