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Green's function-based control-oriented modeling of electric field for dielectrophoresis

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F17%3A00312606" target="_blank" >RIV/68407700:21230/17:00312606 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1063/1.4997725" target="_blank" >http://dx.doi.org/10.1063/1.4997725</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1063/1.4997725" target="_blank" >10.1063/1.4997725</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Green's function-based control-oriented modeling of electric field for dielectrophoresis

  • Original language description

    In this paper, we propose a novel approach to obtain a reliable and simple mathematical model of dielectrophoretic force for model-based feedback micromanipulation. Any such model is expected to sufficiently accurately relate the voltages (electric potentials) applied to the electrodes to the resulting forces exerted on microparticles at given locations in the workspace. This model also has to be computationally simple enough to be used in real time as required by model-based feedback control. Most existing models involve solving two- or three-dimensional mixed boundary value problems. As such, they are usually analytically intractable and have to be solved numerically instead. A numerical solution is, however, infeasible in real time, hence such models are not suitable for feedback control. We present a novel approximation of the boundary value data for which a closed-form analytical solution is feasible; we solve a mixed boundary value problem numerically off-line only once, and based on this solution, we approximate the mixed boundary conditions by Dirichlet boundary conditions. This way, we get an approximated boundary value problem allowing the application of the analytical framework of Green's functions. The thus obtained closed-form analytical solution is amenable to real-time use and closely matches the numerical solution of the original exact problem.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    20205 - Automation and control systems

Result continuities

  • Project

    <a href="/en/project/GBP206%2F12%2FG014" target="_blank" >GBP206/12/G014: Center for advanced bioanalytical technologies</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2017

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Journal of Applied Physics

  • ISSN

    0021-8979

  • e-ISSN

    1089-7550

  • Volume of the periodical

    122

  • Issue of the periodical within the volume

    5

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    8

  • Pages from-to

  • UT code for WoS article

    000407740600028

  • EID of the result in the Scopus database

    2-s2.0-85027156193