Mechanical analysis of phase transition experiments of the bacterial flagellar filament

Acta Mechanica Sinica - Tập 26 - Trang 777-785 - 2010
Xiao-Ling Wang1, Qing-Ping Sun2
1Department of Mechanical Engineering, University of Science and Technology Beijing, Beijing, China
2Department of Mechanical Engineering, The Hong Kong University of Science and Technology, Hong Kong, China

Tóm tắt

Bacterial flagellar filaments can undergo a polymorphic phase transition in both vitro and vivo environments. Each bacterial flagellar filament has 12 different helical forms which are macroscopically represented by different pitch lengths and helix radii. For external mechanical force induced filament phase transitions, there is so far only one experiment performed by Hotani in 1982, who showed a very beautiful cyclic phase transition phenomenon in his experiment on isolated flagellar filaments. In the present paper, we give a detailed mechanical analysis on Hotani’s experiments. Through theoretical computations, we obtained a phase transition rule based on the phase transition mechanism. The theoretical analysis provides a foundation facilitating the establishment of phase transition theory for bacterial flagellar filaments.

Tài liệu tham khảo

Ehrenberg C.G.: Die Infusionsthierchen als Vollkommene Organismen Leopold Voss. Leipzig, Germany (1838) Wang X.L., Sun Q.P.: Phase transition in biological systems. Adv. Mech. 40(1), 41–56 (2010) (in Chinese) Wang, X.L.: Mechanical analysis and free energy construction of phase transition in bacterial flagellar filaments. Ph.D. Thesis, The Hong Kong University of Science and Technology (2006) Turner L., William R.S., Berg H.C.: Real-time imaging of fluorescent flagellar filaments. J. Bacteriol. 180(10), 2793–2801 (2000) Morgan, D.G., Khan, S.: Bacterial flagella. In: Nature Encyclopedia of Life, pp. 1–8. Nature Publishing Group, London (2001) Bardy S.L., Ng S.Y.M., Jarrell K.F.: Prokaryotic motility structures. Microbiology 149, 295–304 (2003) Neidhard F.C.: E. coli and Salmonella, 2nd edn. ASM Press, Washington, D.C. (1999) Samatey F.A., Imada K., Nagashima S. et al.: Structure of the bacterial flagellar protofilament and implications for a switch for supercoiling. Nature 410, 331–337 (2001) Asakura S.: Polymerization of flagellin and polymorphism of flagella. Adv. Biophys. 1, 99–155 (1970) Asakura S., Iino T.: Polymorphism of Salmonella flagella as investigated by means of in vitro copolymerization of flagellins derived from various strains. J. Mol. Biol. 64, 251–268 (1972) Hotani H.: Light microscope study of mixed helices in reconstituted salmonella flagella. J. Mol. Biol. 106, 151–166 (1976) Kamiya R., Asakura S.: Helical transformations of Salmonella flagella in vitro. J. Mol. Biol. 106, 167–186 (1976) Kamiya R., Asakura S.: Flagellar transformations at alkaline pH. J. Mol. Biol. 108, 513–518 (1977) Calladine C.R.: Design requirements for the construction of bacterial flagella. J. Theor. Biol. 57, 469–489 (1976) Calladine C.R.: Change of waveform in bacterial flagella: the role of mechanics at the molecular level. J. Mol. Biol. 118, 457–479 (1978) Hotani H.: Micro-video study of moving bacterial flagellar filaments III: cyclic transformation induced by mechanical force. J. Mol. Biol. 156, 791–806 (1982) Macnab R.M., Ornston M.K.: Normal-to-curly flagellar transitions and their role in bacterial tumbling. Stabilization of an alternative quaternary structure by mechanical force. J. Mol. Biol. 112, 1–30 (1977) Holwill M.E.J., Burge R.E.: A hydrodynamic study of the motility of flagellated bacteria. Arch. Biochem. Biophys. 101, 249–260 (1963) Robert B.: On the curvature and torsion of an isolated vortex filament. J. Fluid Mech. 22(3), 471–479 (1965)