BEST DESIGN FOR A FASTEST CELLS SELECTING PROCESS

Michel Pierre (1) , Grégory Vial (2)

1 IRMAR - Institut de Recherche Mathématique de Rennes
2 ICJ - Institut Camille Jordan

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.

Mots clés: kinematics of a particle; optimal design; calculus of variations; numerical optimization; integral equation; dielec- trophoresis; kinematics of a particle.

Domaines: Analyse numérique [math.NA]

Michel Pierre, Grégory Vial. BEST DESIGN FOR A FASTEST CELLS SELECTING PROCESS. Discrete and Continuous Dynamical Systems - Series S, 2011, 4 (1), pp.223-237. ⟨10.3934/dcds.2011.4.223⟩. ⟨hal-00461960⟩