Model for bend propagation in flagella
Identifieur interne : 001644 ( Istex/Corpus ); précédent : 001643; suivant : 001645Model for bend propagation in flagella
Auteurs : J. Lubliner ; J. J. BlumSource :
- Journal of Theoretical Biology [ 0022-5193 ] ; 1970.
Abstract
Previous suggestions that active bending processes in flagella is activated by passively propagated bending have been developed into a theoretical model which describes the effect of viscosity on the shape and propagation velocity of flagellar bends. Our model incorporates a first-order active bending process which is initiated when a critical level of passive bending is reached and a first-order unbending process which follows after a prescribed time interval. The effects of the external viscosity and the internal mechanical properties of the flagellum are included in such a way that it is possible to predict the velocity of bend propagation and the shapes of the bending and unbending transitions for steady waves on an infinite flagellum. These predictions are compared with published data on the effect of viscosity on the velocity of bend propagation along flagella, and values for all the parameters of the flagellar model have been estimated.
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DOI: 10.1016/0022-5193(71)90117-2
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<front><div type="abstract" xml:lang="en">Previous suggestions that active bending processes in flagella is activated by passively propagated bending have been developed into a theoretical model which describes the effect of viscosity on the shape and propagation velocity of flagellar bends. Our model incorporates a first-order active bending process which is initiated when a critical level of passive bending is reached and a first-order unbending process which follows after a prescribed time interval. The effects of the external viscosity and the internal mechanical properties of the flagellum are included in such a way that it is possible to predict the velocity of bend propagation and the shapes of the bending and unbending transitions for steady waves on an infinite flagellum. These predictions are compared with published data on the effect of viscosity on the velocity of bend propagation along flagella, and values for all the parameters of the flagellar model have been estimated.</div>
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