Twirling elastica: kinks, viscous drag, and torsional stress.
Biological filaments such as DNA or bacterial flagella are typically curved in their natural states. To elucidate the interplay of viscous drag, twisting, and bending in the overdamped dynamics of such filaments, we compute the steady-state torsional stress and shape of a rotating rod with a kink. Drag deforms the rod, ultimately extending or folding it depending on the kink angle. For certain kink angles and kink locations, both states are possible at high rotation rates. The agreement between our macroscopic experiments and the theory is good, with no adjustable parameters.
Koehler
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Division of Engineering and Applied Sciences, Harvard University, Cambridge, Massaschusetts 02138, USA.
Powers
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D008841:Actin Cytoskeleton / Q000737:chemistry* / Q000378:metabolism; D001412:Bacillus subtilis / Q000166:cytology; D004247:DNA / Q000737:chemistry* / Q000378:metabolism; D004548:Elasticity; D005407:Flagella / Q000737:chemistry* / Q000378:metabolism; D008958:Models, Molecular; D020409:Molecular Motor Proteins / Q000737:chemistry / Q000378:metabolism; D009690:Nucleic Acid Conformation; D011487:Protein Conformation; D012399:Rotation; D014102:Torsion Abnormality; D014783:Viscosity
D020409:Molecular Motor Proteins; D004247:DNA