Loading...
Please wait, while we are loading the content...
Similar Documents
Accelerating the Finite-Element Method for Reaction-Diffusion Simulations on GPUs with CUDA
Content Provider | MDPI |
---|---|
Author | Sellami, Hedi Cazenille, Leo Fujii, Teruo Hagiya, Masami Aubert-Kato, Nathanael Genot, Anthony J. |
Copyright Year | 2020 |
Description | DNA nanotechnology offers a fine control over biochemistry by programming chemical reactions in DNA templates. Coupled to microfluidics, it has enabled DNA-based reaction-diffusion microsystems with advanced spatio-temporal dynamics such as traveling waves. The Finite Element Method (FEM) is a standard tool to simulate the physics of such systems where boundary conditions play a crucial role. However, a fine discretization in time and space is required for complex geometries (like sharp corners) and highly nonlinear chemistry. Graphical Processing Units (GPUs) are increasingly used to speed up scientific computing, but their application to accelerate simulations of reaction-diffusion in DNA nanotechnology has been little investigated. Here we study reaction-diffusion equations (a DNA-based predator-prey system) in a tortuous geometry (a maze), which was shown experimentally to generate subtle geometric effects. We solve the partial differential equations on a GPU, demonstrating a speedup of ∼100 over the same resolution on a 20 cores CPU. |
Starting Page | 881 |
e-ISSN | 2072666X |
DOI | 10.3390/mi11090881 |
Journal | Micromachines |
Issue Number | 9 |
Volume Number | 11 |
Language | English |
Publisher | MDPI |
Publisher Date | 2020-09-22 |
Access Restriction | Open |
Subject Keyword | Micromachines Analytical Chemistry Finite-element Methods Gpu Cuda Non-linear Pdes Reaction-diffusion |
Content Type | Text |
Resource Type | Article |