Best design for a fastest cells selecting process | Zendy

Michel Pierre | Zendy; Grégory Vial | Zendy

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Best design for a fastest cells selecting process

Author(s) -

Michel Pierre,

Grégory Vial

Publication year - 2010

Publication title -

discrete and continuous dynamical systems - s

Language(s) - English

Resource type - Journals

eISSN - 1937-1632

pISSN - 1937-1179

DOI - 10.3934/dcdss.2011.4.223

Subject(s) - sorting , dielectrophoresis , process (computing) , electric field , computer science , square (algebra) , electrode , resolution (logic) , field (mathematics) , algorithm , mathematical optimization , mathematics , artificial intelligence , physics , geometry , operating system , quantum mechanics , pure mathematics

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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