Best design for a fastest cells selecting process

Michel Pierre; Grégory Vial

doi:10.3934/dcdss.2011.4.223

Article Contents

2011, Volume 4, Issue 1: 223-237. Doi: 10.3934/dcdss.2011.4.223

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Best design for a fastest cells selecting process

Michel Pierre^1, and
Grégory Vial^1,

1.
IRMAR, ENS Cachan Bretagne, CNRS, UEB, av Robert Schuman F-35170 Bruz

Received: April 30, 2009

Revised: August 31, 2009

Published: January 2011

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Abstract

We consider a cell sorting process based on negative dielectrophoresis. The goal is to optimize the shape of an electrode network to speed up the positioning. We first show that the best electric field to impose has to be radial in order to minimize the average time for a group of particles. We can get an explicit formula in the specific case of a uniform distribution of initial positions, through the resolution of the Abel integral equation. Next,we use a least-square numerical procedure to design the electrode's shape.

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Mathematics Subject Classification: 45E10, 49K, 49M, 70B05.

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References

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