1. Microoptical characterization and modeling of positioning forces on drosophila embryos self-assembled in two-dimensional arrays
- Author
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Matthew P. Scott, Stefan Zappe, Xiaojing Zhang, Ralph W. Bernstein, Chung-Chu Chen, and Olav Solgaard
- Subjects
Chemistry ,Capillary action ,business.industry ,Mechanical Engineering ,Surface force ,Substrate (electronics) ,Molecular physics ,Displacement (vector) ,Surface energy ,Surface tension ,Surface micromachining ,Reflection (mathematics) ,Optics ,Electrical and Electronic Engineering ,business - Abstract
In this paper, we describe high-precision experimental and numerical characterization of the positioning forces acting on Drosophila embryos that have self-assembled onto 2-D arrays of hydrophobic sites on a silicon substrate in water. The forces measured using a surface micromachined optical-encoder force sensor operating in reflection, are in good agreement with numerical simulations based on an extended surface energy model for the oil-based fluidic system. The positioning forces of ellipsoidal embryos on flat sites show a linear-spring-like relationship between the force and displacement on rectangular as well as cross-shaped sites. An average detachment force of 8.9 /spl mu/N/spl plusmn/1.3 /spl mu/N was found for the immobilized embryos on 250 /spl mu/m/spl times/100 /spl mu/m sites. The cross-shaped site has only 19.85% of the area of the rectangular site, but provides a comparable positioning force with a significant reduction in embryo clustering. In contrast, the positioning forces of flat silicon chips, similar in size to the embryos, are linear in the displacement only over a limited range (0/spl sim/40 /spl mu/m), and are then constant up to the detachment force (25.0 /spl mu/N/spl plusmn/3.5 /spl mu/N). Our measurements also show significant hysteresis in the force vs. displacement, indicating that variations in the surface properties play an important role in the self-assembly process.
- Published
- 2005
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