Analysis and modeling of the primary cilium bending response to fluid shear. Schwartz, Eric A., Michelle L. Leonard, Rena Bizios, and Samuel S. Bowser. Department of Biomedical Engineering, Rensselaer Polytechnic Institute, Troy, NY 12180-3590; Laboratory of Cell Regulation, Wadsworth Center, New York State Department of Health, Albany, NY 12201-0509; and Department of Biomedical Sciences, The University at Albany, State University of New York, Albany, NY 12222
APStracts 3:0175F, 1996.
Since a nonmotile, primary (9+0) cilium projects from most mammalian kidney epithelial cells into the tubule lumen, where it is exposed to fluid motion, the present study examined primary cilium response to fluid shear stress. The reversible, large-angle bending of the primary cilium upon exposure to fluid shear forces (10_11 _ 10_10 Nm2; = 10_8 _ 10_7 dynes/cm) was characterized in vitro using videomicroscopic side-views of PtK1 cells, and the cilium was then mathematically modeled as a cantilevered beam. The flexural rigidity of the primary cilium was calculated to be 3.1 +/- 0.8 x 10_23 Nm2 using a corrected quadruple integration approach, and 1.4 _ 1.6 x 10_23 Nm2 using Heavy Elastica theory. Comparison of theoretical profiles to the experimental bending responses of cilia established the validity of the Heavy Elastica Model; this model, in turn, was used to predict primary cilium bending behavior under representative conditions in the rat nephron. The results of the study are consistent with the hypothesis that primary cilia serve a mechanosensory function in kidney epithelial cells.

Received 31 October 1995; accepted in final form 19 September
1996.
APS Manuscript Number F373-5.
Article publication pending Am. J. Physiol. (Renal Fluid Electrolyte
Physiology).
ISSN 1080-4757 Copyright 1996 The American Physiological Society.
Published in APStracts on 5 November 1996