A Trajectory Planning Model for the Manipulation of Particles in Microfluidics
Autor(a) principal: | |
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Data de Publicação: | 2018 |
Outros Autores: | , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) |
Texto Completo: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512018000300509 |
Resumo: | ABSTRACT Many important microfluidic applications require the control and transport of particles immersed in a fluid. We propose a model for automatically planning good trajectories from an arbitrary point to a target in the presence of obstacles. It can be used for the manipulation of particles using actuators of mechanical or electrical type. We present the mathematical formulation of the model and a numerical method based on the optimization of travel time through the Bellman’s principle. The implementation is focused on square grids such as those built from pixelated images. Numerical simulations show that the trajectory tree produced by the algorithm successfully avoids obstacles and stagnant regions of the fluid domain. |
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A Trajectory Planning Model for the Manipulation of Particles in MicrofluidicsTrajectory planningmanipulation of particles in microfluidicsBellman’s principleABSTRACT Many important microfluidic applications require the control and transport of particles immersed in a fluid. We propose a model for automatically planning good trajectories from an arbitrary point to a target in the presence of obstacles. It can be used for the manipulation of particles using actuators of mechanical or electrical type. We present the mathematical formulation of the model and a numerical method based on the optimization of travel time through the Bellman’s principle. The implementation is focused on square grids such as those built from pixelated images. Numerical simulations show that the trajectory tree produced by the algorithm successfully avoids obstacles and stagnant regions of the fluid domain.Sociedade Brasileira de Matemática Aplicada e Computacional2018-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512018000300509TEMA (São Carlos) v.19 n.3 2018reponame:TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)instname:Sociedade Brasileira de Matemática Aplicada e Computacionalinstacron:SBMAC10.5540/tema.2018.019.03.0509info:eu-repo/semantics/openAccessMEACCI,L.ROCHA,F.F.SILVA,A.A.PRAMIU,P.V.BUSCAGLIA,G.C.eng2018-12-13T00:00:00Zoai:scielo:S2179-84512018000300509Revistahttp://www.scielo.br/temaPUBhttps://old.scielo.br/oai/scielo-oai.phpcastelo@icmc.usp.br2179-84511677-1966opendoar:2018-12-13T00:00TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) - Sociedade Brasileira de Matemática Aplicada e Computacionalfalse |
dc.title.none.fl_str_mv |
A Trajectory Planning Model for the Manipulation of Particles in Microfluidics |
title |
A Trajectory Planning Model for the Manipulation of Particles in Microfluidics |
spellingShingle |
A Trajectory Planning Model for the Manipulation of Particles in Microfluidics MEACCI,L. Trajectory planning manipulation of particles in microfluidics Bellman’s principle |
title_short |
A Trajectory Planning Model for the Manipulation of Particles in Microfluidics |
title_full |
A Trajectory Planning Model for the Manipulation of Particles in Microfluidics |
title_fullStr |
A Trajectory Planning Model for the Manipulation of Particles in Microfluidics |
title_full_unstemmed |
A Trajectory Planning Model for the Manipulation of Particles in Microfluidics |
title_sort |
A Trajectory Planning Model for the Manipulation of Particles in Microfluidics |
author |
MEACCI,L. |
author_facet |
MEACCI,L. ROCHA,F.F. SILVA,A.A. PRAMIU,P.V. BUSCAGLIA,G.C. |
author_role |
author |
author2 |
ROCHA,F.F. SILVA,A.A. PRAMIU,P.V. BUSCAGLIA,G.C. |
author2_role |
author author author author |
dc.contributor.author.fl_str_mv |
MEACCI,L. ROCHA,F.F. SILVA,A.A. PRAMIU,P.V. BUSCAGLIA,G.C. |
dc.subject.por.fl_str_mv |
Trajectory planning manipulation of particles in microfluidics Bellman’s principle |
topic |
Trajectory planning manipulation of particles in microfluidics Bellman’s principle |
description |
ABSTRACT Many important microfluidic applications require the control and transport of particles immersed in a fluid. We propose a model for automatically planning good trajectories from an arbitrary point to a target in the presence of obstacles. It can be used for the manipulation of particles using actuators of mechanical or electrical type. We present the mathematical formulation of the model and a numerical method based on the optimization of travel time through the Bellman’s principle. The implementation is focused on square grids such as those built from pixelated images. Numerical simulations show that the trajectory tree produced by the algorithm successfully avoids obstacles and stagnant regions of the fluid domain. |
publishDate |
2018 |
dc.date.none.fl_str_mv |
2018-12-01 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512018000300509 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512018000300509 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.5540/tema.2018.019.03.0509 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
text/html |
dc.publisher.none.fl_str_mv |
Sociedade Brasileira de Matemática Aplicada e Computacional |
publisher.none.fl_str_mv |
Sociedade Brasileira de Matemática Aplicada e Computacional |
dc.source.none.fl_str_mv |
TEMA (São Carlos) v.19 n.3 2018 reponame:TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) instname:Sociedade Brasileira de Matemática Aplicada e Computacional instacron:SBMAC |
instname_str |
Sociedade Brasileira de Matemática Aplicada e Computacional |
instacron_str |
SBMAC |
institution |
SBMAC |
reponame_str |
TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) |
collection |
TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) |
repository.name.fl_str_mv |
TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) - Sociedade Brasileira de Matemática Aplicada e Computacional |
repository.mail.fl_str_mv |
castelo@icmc.usp.br |
_version_ |
1752122220538232832 |