Abstract
In a recent study [Cibert, 2008. Journal of Theoretical Biology, 253, 74-89], by assuming that the walls of microtubules are involved in cyclic compression/dilation equilibriums as a consequence of their cyclic curvature of the axoneme, it was proposed that local adjustments of spatial frequencies of both dynein arms and beta-tubulin monomers facing series create propagation of joint probability waves of interaction (JPI) between these two necessary partners. Modeling the occurrence of these interactions along the entire length of an axoneme between each outer doublet pair (without programming any cooperative dialog between the molecular complexes) and the cyclic attachment of two facing partners, we show that such constituted active couples are clustered. Along a cluster the dynein arms exhibit a small phase shift with respect to the order according to which they began their cycle after being linked to a beta-tubulin monomer. The number of couples included in these clusters depends on the probability of interaction between the dynein arms and the beta-tubulin, on the location of the outer doublet pairs around the axonemal cylinder, and on the local bending of the axoneme; around the axonemal cylinder, the faster and the larger the sliding, the shorter the clusters. This mechanism could be involved in the apparent cooperativity of molecular motors and the beta-tubulin monomers, since it is partially controlled by local curvature, and the cluster length is inversely proportional to the sliding activity of the outer doublet pairs they link.
Original language | American English |
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Journal | Journal of Theoretical Biology |
Volume | 265 |
DOIs | |
State | Published - Jul 2010 |
Externally published | Yes |
Keywords
- Axonemal system
- flagellar swimming
- motile cells
- T. Brucei
- Trypanosomus Africanus
- flagellum
Disciplines
- Applied Mathematics
- Biochemistry, Biophysics, and Structural Biology
- Biophysics