肌球蛋白Ⅵ分子马达周期势场下的弹性扩散模型

李晨璞; 韩英荣; 展永; 胡金江; 张礼刚; 曲蛟

doi:10.7498/aps.62.230501

摘要

肌球蛋白Ⅵ分子马达因其特殊的结构及胞内功能，其动力学原理成为研究的热点. 从肌球蛋白Ⅵ自身结构和实验现象出发，建立其弹性扩散模型，并通过Monte Carlo方法分析了肌球蛋白Ⅵ满足朗之万方程的随机动力学行为. 结果表明，在环境噪声作用下，具有弹性势能和轨道周期势能的肌球蛋白Ⅵ可以进行梯跳运动和有效的输运，但负载力会减弱分子马达系统的输运能力；当弹性系数一定时，弹性链越长平均速度越小，当弹性链长度一定时，合理选择弹性系数平均速度可达到最大值；另外，负载力的存在使肌球蛋白Ⅵ在接触位点的平均驻留时间呈指数增加.

关键词:

Abstract

Because of the special structure and intracellular functions of myosin Ⅵ molecular motor, its dynamic principle has become a research focus. Starting from its structure and experimental phenomenon, the elastic-diffusion model of myosin Ⅵ in a periodic potential field is established, and the stochastic dynamics of the molecular motors, which conform to the Langevin equation, is analyzed by Monte Carlo simulations. By means of the environmental noise, myosin Ⅵ molecular motors could take stable stepping motion and effective transport according to its elastic potential energy and periodic potential of track, and a load can weaken the transportation power of the molecular motor system. For a given elastic coefficient, the longer the elastic chain of myosin Ⅵ, the lower the average velocity of it. By selecting a reasonable size of elasticity coefficient, the average velocity can be the maximum for a given elastic chain. In addition, the load can increase exponentially the mean dwelling time of myosin Ⅵ at the connection site.

Keywords:

作者及机构信息

1.
河北建筑工程学院数理系, 张家口 075000;

2.
河北工业大学理学院, 天津 300401

基金项目: 国家自然科学基金（批准号：10975045）、河北省教育厅科研基金（批准号：2008427c，Z2012175）和张家口市科学技术研究项目（批准号：1101006B）资助的课题.

Authors and contacts

1.
Department of Mathematics and Physics, Hebei Institute of Architecture Civil Engineering, Zhangjiakou, Hebei 075000, China;

2.
School of Science, Hebei University of Technology, Tianjin 300401, China

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 10975045), the Scientific Research Fundation of the Education Department of Hebei Province, China (Grant Nos. 2008427c, Z2012175), and the Scientific Research Fundation of ZhangJiaKou City, Hebei Province, China(Grant No. 1101006B).

参考文献

[1]	Rogat A D, Miler K G 2002 Journal of Cell Sciencs 115 4855
[2]	Hasson T, Gillespie P G, Garcia J A, MacDonald R B, Zhao Y D, Yee A G, Mooseker M S, Corey D P 1997 Journal of Cell Biology 137 1287
[3]	Nishikawa S, Homma K, Komori Y, Iwaki M, Wazawa T, Iwone A H, Saito J, Ikebe R, Katayama E, Yanagida T, Ikebe M 2002 Biochemical Biophysical Rresearch Communications 290 311
[4]	Lister I, Schmitz S, Walker M, Trinick J, Buss F, Veigel C, Kendrick-Jones J 2004 EMBO Journal 23 1729
[5]	Rock R S, Ramamurthy B, Dunn A R, Beccafico S, Rami B R, Morris C, Spink B J, Franzini-Armstrong C, Spudich J A, Sweeney H L 2005 Molecular Cell 17 603
[6]	Xie P, Dou S X, Wang P Y 2005 Chin. Phys. 14 744
[7]	Xie P, Dou S X, Wang P Y 2005 Biophysical Chemistry 122 90
[8]	Bahloul A, Chevreux G, Wells A L, Martin D, Nolt J, Yang Z H, Chen L Q, Potier N, Dorsselaer A V, Rosenfeld S, Houdusse H, Sweeney H L 2004 PNAS 101 4787
[9]	Hasson T, Mooseker E M 1994 Journal of Cell Biology 127 425
[10]	Ménétrey J, Bahloul A, Wells A L, Yengo C M, Morris C A, Sweeney H L, Houdusse A 2005 Nature 435 779
[11]	Park H, Li A, Chen L Q, Houdusse A, Selvin P R, Sweeney H L 2007 PNAS 104 778
[12]	Altman D, Sweeney H L, Spudich J A 2004 Cell 116 737
[13]	De La Cruz E M, Ostap E M, Sweeney H L 2001 Journal of Biological Chemistry 276 32373
[14]	Reifenberger J G, Toprak E, Kim H J, Safer D, Sweeney H L, Selvin P R 2009 PNAS 106 18255
[15]	Bao J D, Zhuo Y Z 1998 Chinese Science Bulletin 43 1493
[16]	Bao J D 1997 Chinese Journal of Computational Physics 14 463 (in Chinese) [包景东 1997 计算物理 14 463]
[17]	Marchesoni F 1997 Physical Review E 56 2497
[18]	Guo C, Yin Y H 2010 Chinese Science Bulletin 55 2675 (in Chinese) [郭朝, 殷跃红 2010 科学通报 55 2675]
[19]	Kolomeisky A B, Fisher M E 2003 Biophysical Journal 84 1642
[20]	Xu W, Zhang X Y 2007 Chin. Phys. 16 928
[21]	Wang H Y, Bao J D 2010 Physica A 389 433
[22]	Li F Z, Su W F, Hu K H 2009 Acta Biophysica Sinica 25 133 (in Chinese) [李防震, 苏万芳, 胡匡祜 2009 生物 25 133]
[23]	Feng J, Zhuo Y Z 2005 Chin. Phys. Lett. 22 503
[24]	Chen Z X 2003 Computational physics (Vol. 2) (Harbin: Harbin Institute of Technology Press) p92 (in Chinese) [陈锺贤 2003 计算物理学(第二版)(哈尔滨: 哈尔滨工业大学出版社)第92页]
[25]	Bao J D 2009 Stochastic simulation method of classical and quantum dissipative systems (BeiJing: Science Press) p113 (in Chinese) [包景东 2009 经典和量子耗散系统的随机模拟方法(北京: 科学出版社)第113页]
[26]	Spudich J A, Sivaramakrishnan S 2010 Nature Reviews Molecular Cell Biology 11 128

施引文献

[1]	Rogat A D, Miler K G 2002 Journal of Cell Sciencs 115 4855
[2]	Hasson T, Gillespie P G, Garcia J A, MacDonald R B, Zhao Y D, Yee A G, Mooseker M S, Corey D P 1997 Journal of Cell Biology 137 1287
[3]	Nishikawa S, Homma K, Komori Y, Iwaki M, Wazawa T, Iwone A H, Saito J, Ikebe R, Katayama E, Yanagida T, Ikebe M 2002 Biochemical Biophysical Rresearch Communications 290 311
[4]	Lister I, Schmitz S, Walker M, Trinick J, Buss F, Veigel C, Kendrick-Jones J 2004 EMBO Journal 23 1729
[5]	Rock R S, Ramamurthy B, Dunn A R, Beccafico S, Rami B R, Morris C, Spink B J, Franzini-Armstrong C, Spudich J A, Sweeney H L 2005 Molecular Cell 17 603
[6]	Xie P, Dou S X, Wang P Y 2005 Chin. Phys. 14 744
[7]	Xie P, Dou S X, Wang P Y 2005 Biophysical Chemistry 122 90
[8]	Bahloul A, Chevreux G, Wells A L, Martin D, Nolt J, Yang Z H, Chen L Q, Potier N, Dorsselaer A V, Rosenfeld S, Houdusse H, Sweeney H L 2004 PNAS 101 4787
[9]	Hasson T, Mooseker E M 1994 Journal of Cell Biology 127 425
[10]	Ménétrey J, Bahloul A, Wells A L, Yengo C M, Morris C A, Sweeney H L, Houdusse A 2005 Nature 435 779
[11]	Park H, Li A, Chen L Q, Houdusse A, Selvin P R, Sweeney H L 2007 PNAS 104 778
[12]	Altman D, Sweeney H L, Spudich J A 2004 Cell 116 737
[13]	De La Cruz E M, Ostap E M, Sweeney H L 2001 Journal of Biological Chemistry 276 32373
[14]	Reifenberger J G, Toprak E, Kim H J, Safer D, Sweeney H L, Selvin P R 2009 PNAS 106 18255
[15]	Bao J D, Zhuo Y Z 1998 Chinese Science Bulletin 43 1493
[16]	Bao J D 1997 Chinese Journal of Computational Physics 14 463 (in Chinese) [包景东 1997 计算物理 14 463]
[17]	Marchesoni F 1997 Physical Review E 56 2497
[18]	Guo C, Yin Y H 2010 Chinese Science Bulletin 55 2675 (in Chinese) [郭朝, 殷跃红 2010 科学通报 55 2675]
[19]	Kolomeisky A B, Fisher M E 2003 Biophysical Journal 84 1642
[20]	Xu W, Zhang X Y 2007 Chin. Phys. 16 928
[21]	Wang H Y, Bao J D 2010 Physica A 389 433
[22]	Li F Z, Su W F, Hu K H 2009 Acta Biophysica Sinica 25 133 (in Chinese) [李防震, 苏万芳, 胡匡祜 2009 生物 25 133]
[23]	Feng J, Zhuo Y Z 2005 Chin. Phys. Lett. 22 503
[24]	Chen Z X 2003 Computational physics (Vol. 2) (Harbin: Harbin Institute of Technology Press) p92 (in Chinese) [陈锺贤 2003 计算物理学(第二版)(哈尔滨: 哈尔滨工业大学出版社)第92页]
[25]	Bao J D 2009 Stochastic simulation method of classical and quantum dissipative systems (BeiJing: Science Press) p113 (in Chinese) [包景东 2009 经典和量子耗散系统的随机模拟方法(北京: 科学出版社)第113页]
[26]	Spudich J A, Sivaramakrishnan S 2010 Nature Reviews Molecular Cell Biology 11 128

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