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Device and method for quantitatively determining an analyte, a method for determining an effective size of a molecule, a method for attaching molecules to a substrate, and a device for detecting molecules

  • US 8,945,944 B2
  • Filed: 09/29/2010
  • Issued: 02/03/2015
  • Est. Priority Date: 08/19/2004
  • Status: Active Grant
First Claim
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1. A method for attaching molecules having an electric charge to a substrate, comprising:

  • attaching said molecules to said substrate by bringing a solution containing said molecules into contact with said substrate;

    having an electrolyte having an ion concentration also present in the solution; and

    selecting a density of said molecules on said substrate by adjusting the ion concentration of the electrolyte to influence an effective size of said molecule attached to the substrate when said molecules having an electric charge are attached to the substrate, wherein;

    said effective size attached to the substrate is a sum of the radius of said molecule and Debye length according to the following equation,
    LDebye=(2,000NAcz2e2/(∈

    r

    0kT))

    1/2
    (m), andsaid density is determined by the following equation,
    Density=1/(2(r+LDebye)2

    3)(cm

    2
    )where LDebye is the Debye length, NA is Avogadro'"'"'s number, c is the ion concentration of the electrolyte (mol/L), z is the valence of the ion, e is a unit charge, ∈

    r is the relative dielectric constant of a medium, ∈

    0 is the dielectric constant of vacuum, k is the Boltzmann constant, T is the absolute temperature, and r is the radius of the molecule,wherein said molecule having an electric charge comprises a strand-type material selected from the group consisting of proteins, DNAs, RNAs, antibodies, natural or artificial single-stranded nucleotides, natural or artificial double-stranded nucleotides, aptamers, products obtained by limited decomposition of antibodies with a protease, and arbitrary combinations thereof.

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