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Open AccessArticle

A Model for the Force Exerted on a Primary Cilium by an Optical Trap and the Resulting Deformation

by Ian Lofgren 1,† and Andrew Resnick 1,2,*,†
1
Physics Department, Cleveland State University, 2121 Euclid Avenue, Cleveland, OH 44115, USA
2
Center for Gene Regulation in Health and Disease, Cleveland State University, 2121 Euclid Avenue, Cleveland, OH 44115, USA
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Photonics 2015, 2(2), 604-618; https://doi.org/10.3390/photonics2020604
Received: 21 May 2015 / Revised: 25 May 2015 / Accepted: 27 May 2015 / Published: 29 May 2015
(This article belongs to the Special Issue Optical Trapping in Biology and Nanotechnology)
Cilia are slender flexible structures extending from the cell body; genetically similar to flagella. Although their existence has been long known, the mechanical and functional properties of non-motile (“primary”) cilia are largely unknown. Optical traps are a non-contact method of applying a localized force to microscopic objects and an ideal tool for the study of ciliary mechanics. We present a method to measure the mechanical properties of a cilium using an analytic model of a flexible, anchored cylinder held within an optical trap. The force density is found using the discrete-dipole approximation. Utilizing Euler-Bernoulli beam theory, we then integrate this force density and numerically obtain the equilibrium deformation of the cilium in response to an optical trap. The presented results demonstrate that optical trapping can provide a great deal of information and insight about the properties and functions of the primary cilium. View Full-Text
Keywords: primary cilium; optical trapping; Euler-Bernoulli primary cilium; optical trapping; Euler-Bernoulli
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Lofgren, I.; Resnick, A. A Model for the Force Exerted on a Primary Cilium by an Optical Trap and the Resulting Deformation. Photonics 2015, 2, 604-618.

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