# MODELING SIMULATION AND OPTIMIZATION OF SURFACE ACOUSTIC WAVE DRIVEN MICROFLUIDIC BIOCHIPS

We will be concerned with the mathematical modeling, numerical simulation, and shape optimization of for such purposes we present a multilevel interior point method relying on a predictor-corrector strategy with an adaptive choice of the continuation steplength along the barrier path. As a speci¯c example, we will consider the shape optimization of pressure driven capillary barriers between microchannels and reservoirs.

multiphysics problem whose mathematical modeling and numerical simulation represents a signi¯cant challenge. It is also a challenging problem with regard to various optimization issues such as the optimal design of the microchannels in order to achieve a maximum pumping rate. Another one is the design of pressure driven capillary barriers between the channels and the reservoirs to guarantee a precise ¯lling of the reservoirs with the probes . This amounts to the solution of a shape optimization problem where the mathematical model for the acoustic streaming represents the associated state equations.

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