Numerical modeling of DNA-chip hybridization with chaotic advection.

Towards better DNA chip hybridization using chaotic advection

The Melting Mechanism of Dna Tethered to a Surface.

The details of melting of DNA immobilized on a chip or nanoparticle determines the sensitivity and operating characteristics of many analytical and synthetic biotechnological devices. Yet, little is known about the differences in how the DNA melting occurs between a homogeneous solution and that on a chip. We used molecular dynamics simulations to explore possible pathways for DNA melting on a ...

Ergodicity, mixing and the Bernoulli property in a DNA hybridization mi- croarray

Microarrays are important devices in biochemical analysis and are an essential tool for gene discovery and mapping, gene regulation studies, disease diagnosis, and drug discovery and toxicology. A DNA microarray is constructed from DNA strands that are attached to a glass or silicon immobile surface. The array is placed in a hybridization chamber containing a solution of DNA or mRNA which is ta...

Approximation of stochastic advection diffusion equations with finite difference scheme

In this paper, a high-order and conditionally stable stochastic difference scheme is proposed for the numerical solution of $rm Ithat{o}$ stochastic advection diffusion equation with one dimensional white noise process. We applied a finite difference approximation of fourth-order for discretizing space spatial derivative of this equation. The main properties of deterministic difference schemes,...

Optimized Simulation and Validation of Particle Advection in Asymmetric Staggered Herringbone Type Micromixers

This paper presents and compares two different strategies in the numerical simulation of passive microfluidic mixers based on chaotic advection. In addition to flow velocity field calculations, concentration distributions of molecules and trajectories of microscale particles were determined and compared to evaluate the performance of the applied modeling approaches in the proposed geometries. A...