On the efficient numerical simulation of heterogeneous anisotropic diffusion models for tumor invasion using GPUs.
The aim of this article is to show how continuous mathematical models for tumor dynamics can be solved efficiently using commodity Graphics Processing Units (GPUs) found in personal and portable computers. The test set of equations models haptotaxis and heterogeneous anisotropic diffusion of the...
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Sapienza Università Editrice
2019-06-01
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| Series: | Rendiconti di Matematica e delle Sue Applicazioni |
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| Online Access: | http://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2019(3-4)/233-255.pdf |
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doaj-ea1add0c1baf4039b5f9e3be1035e8d52020-11-25T02:23:36ZengSapienza Università EditriceRendiconti di Matematica e delle Sue Applicazioni1120-71832532-33502019-06-01403-4233255On the efficient numerical simulation of heterogeneous anisotropic diffusion models for tumor invasion using GPUs.Donato Pera0Carlos Málaga1Chiara Simeoni2Ramón G. Plaza3Dipartimento di Ingegneria e Scienze dell’Informazione e Matematica Universit`a degli Studi dell’Aquila Via Vetoio (snc), Localit`a Coppito, L’Aquila 67010 (Italy).Departamento de Fisica Facultad de Ciencias Universidad Nacional Autonoma de Mexico Circuito Exterior s/n, Ciudad Universitaria, Ciudad de Mexico 04510 (Mexico)Laboratoire de Mathematiques J.A. Dieudonné UMR CNRS 7351 Université de Nice Sophia-Antipolis Parc Valrose 06108 Nice Cedex 02 (France).Instituto de Investigaciones en Matem´aticas Aplicadas y en Sistemas Universidad Nacional Autonoma de Mexico Circuito Exterior s/n, Ciudad Universitaria, Ciudad de Mexico 04510 (Mexico)The aim of this article is to show how continuous mathematical models for tumor dynamics can be solved efficiently using commodity Graphics Processing Units (GPUs) found in personal and portable computers. The test set of equations models haptotaxis and heterogeneous anisotropic diffusion of the cancer cells population. The numerical solution is obtained by using a second order finite difference Euler scheme. It is proven that, as the space resolution improves, the GPU implementation of the numerical scheme shows an increasingly better performance than that of the Central Processing Units (CPUs).http://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2019(3-4)/233-255.pdftumor invasion modelshaptotaxisanisotropic diffusionfinite difference schemesgraphics processing unitscomputational efficiency |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Donato Pera Carlos Málaga Chiara Simeoni Ramón G. Plaza |
| spellingShingle |
Donato Pera Carlos Málaga Chiara Simeoni Ramón G. Plaza On the efficient numerical simulation of heterogeneous anisotropic diffusion models for tumor invasion using GPUs. Rendiconti di Matematica e delle Sue Applicazioni tumor invasion models haptotaxis anisotropic diffusion finite difference schemes graphics processing units computational efficiency |
| author_facet |
Donato Pera Carlos Málaga Chiara Simeoni Ramón G. Plaza |
| author_sort |
Donato Pera |
| title |
On the efficient numerical simulation of heterogeneous anisotropic diffusion models for tumor invasion using GPUs. |
| title_short |
On the efficient numerical simulation of heterogeneous anisotropic diffusion models for tumor invasion using GPUs. |
| title_full |
On the efficient numerical simulation of heterogeneous anisotropic diffusion models for tumor invasion using GPUs. |
| title_fullStr |
On the efficient numerical simulation of heterogeneous anisotropic diffusion models for tumor invasion using GPUs. |
| title_full_unstemmed |
On the efficient numerical simulation of heterogeneous anisotropic diffusion models for tumor invasion using GPUs. |
| title_sort |
on the efficient numerical simulation of heterogeneous anisotropic diffusion models for tumor invasion using gpus. |
| publisher |
Sapienza Università Editrice |
| series |
Rendiconti di Matematica e delle Sue Applicazioni |
| issn |
1120-7183 2532-3350 |
| publishDate |
2019-06-01 |
| description |
The aim of this article is to show how continuous mathematical models for tumor
dynamics can be solved efficiently using commodity Graphics Processing Units (GPUs) found in
personal and portable computers. The test set of equations models haptotaxis and heterogeneous
anisotropic diffusion of the cancer cells population. The numerical solution is obtained by using
a second order finite difference Euler scheme. It is proven that, as the space resolution improves,
the GPU implementation of the numerical scheme shows an increasingly better performance than
that of the Central Processing Units (CPUs). |
| topic |
tumor invasion models haptotaxis anisotropic diffusion finite difference schemes graphics processing units computational efficiency |
| url |
http://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2019(3-4)/233-255.pdf |
| work_keys_str_mv |
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