Persistence Length of Microtubules Based on a Continuum Anisotropic Shell Model

被引:12
作者
Gao, Yuanwen [2 ]
Wang, Jizeng [1 ,2 ]
Gao, Huajian [1 ]
机构
[1] Brown Univ, Div Engn, Providence, RI 02912 USA
[2] Lanzhou Univ, Coll Civil Engn & Mech, Key Lab Mech Western Disaster & Envirom, Lanzhou 730000, Gansu, Peoples R China
关键词
Biological Material; Microstructures; Anisotropic Material; Shells and Membranes; Analytic Functions; Finite Elements; FLEXURAL RIGIDITY; THERMAL FLUCTUATIONS; PROTEINS; FORCE;
D O I
10.1166/jctn.2010.1476
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
Motivated by seemingly contradictory experimental observations on whether the persistence length of a microtubule depends on its contour length, here we employ a continuum anisotropic shell model to study the flexural rigidity of flexible tubular structures under externally applied loads. The model shows that there indeed exists a range of tube lengths in which the persistence length strongly depends on the contour length. However, for sufficiently long tubes, the persistence length approaches a constant value which depends only on the material properties. These results provide feasible explanations for the seemingly contradictory experimental observations in the literature. The model further indicates that the persistence length of a slender tubular structure depends on not only its geometrical and material properties but also the frequency and spatial mode of applied loading. Closed form analytical solutions are derived for flexible tubes with simply supported boundaries and material symmetry about the tube axis, while a finite element analysis based on anisotropic shell theory and mean field Langevin dynamics are conducted to complement/generalize the analytical results. The predicted relation between the persistence length and contour length is quantitatively compared with existing experimental measurements on protein microtubules in eukaryotic cells.
引用
收藏
页码:1227 / 1237
页数:11
相关论文
共 28 条
[1]  
Alberts B., 1994, MOL BIOL CELL
[2]   Microtubule polymerization dynamics [J].
Desai, A ;
Mitchison, TJ .
ANNUAL REVIEW OF CELL AND DEVELOPMENTAL BIOLOGY, 1997, 13 :83-117
[3]  
Feigner H., 1996, J. Cell Science, V109, P509
[4]   Domains of neuronal microtubule-associated proteins and flexural rigidity of microtubules [J].
Felgner, H ;
Frank, R ;
Biernat, J ;
Mandelkow, EM ;
Mandelkow, E ;
Ludin, B ;
Matus, A ;
Schliwa, M .
JOURNAL OF CELL BIOLOGY, 1997, 138 (05) :1067-1075
[5]   FLEXURAL RIGIDITY OF MICROTUBULES AND ACTIN-FILAMENTS MEASURED FROM THERMAL FLUCTUATIONS IN SHAPE [J].
GITTES, F ;
MICKEY, B ;
NETTLETON, J ;
HOWARD, J .
JOURNAL OF CELL BIOLOGY, 1993, 120 (04) :923-934
[6]   Ratchet patterns sort molecular shuttles [J].
Hess, H ;
Clemmens, J ;
Matzke, CM ;
Bachand, GD ;
Bunker, BC ;
Vogel, V .
APPLIED PHYSICS A-MATERIALS SCIENCE & PROCESSING, 2002, 75 (02) :309-313
[7]   A piconewton forcemeter assembled from microtubules and kinesins [J].
Hess, H ;
Howard, J ;
Vogel, V .
NANO LETTERS, 2002, 2 (10) :1113-1115
[8]  
Hinton E., 1984, FINITE ELEMENT SOFTW
[9]   Dynamics and mechanics of the microtubule plus end [J].
Howard, J ;
Hyman, AA .
NATURE, 2003, 422 (6933) :753-758
[10]   A bending mode analysis for growing microtubules: Evidence for a velocity-dependent rigidity [J].
Janson, ME ;
Dogterom, M .
BIOPHYSICAL JOURNAL, 2004, 87 (04) :2723-2736