Fourier transform to analyse reaction-diffusion dynamics in a microsystem

André Estévez-Torres; Thomas Le Saux; Charlie Gosse; Annie Lemarchand; Anne Bourdoncle; Ludovic Jullien

doi:10.1039/B805412F

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Fourier transform to analyse reaction-diffusion dynamics in a microsystem†‡

André Estévez-Torres,^a Thomas Le Saux,^a Charlie Gosse,*^b Annie Lemarchand,^c Anne Bourdoncle^a and Ludovic Jullien*^a

Author affiliations

* Corresponding authors

^a Ecole Normale Supérieure, Département de Chimie, UMR CNRS ENS UPMC Paris 6 8640, 24, rue Lhomond, F-75005 Paris, France
E-mail: Ludovic.Jullien@ens.fr
Tel: +33 1 44 32 33 33

^b Laboratoire de Photonique et de Nanostructures, LPN-CNRS, Route de Nozay, 91460 Marcoussis, France
E-mail: charlie.gosse@lpn.cnrs.fr
Fax: +33 1 69 63 60 06
Tel: +33 1 69 63 61 55

^c Université Pierre et Marie Curie Paris 6, Laboratoire de Physique Théorique de la Matière Condensée, UMR CNRS 7600, 4, place Jussieu, 75252 Paris Cedex 05, France
E-mail: anle@lptmc.jussieu.fr
Fax: +33 1 44 27 72 87
Tel: +33 1 44 27 72 90

Abstract

An integrated approach relying on a microsystem is introduced to easily extract, from a single experiment and with a global robust bi-exponential fit, an extensive set of thermodynamic, kinetic, and diffusion parameters governing associations in solution.

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Supplementary files

The theoretical derivation of the expression of the Fourier transform of the concentrations in R and P; the extraction of the dynamic parameters from the stationary reaction–migration–diffusion pattern of the fluorescence signal; the independent determinations of the thermodynamic constant K, the rate constants k ₁ and k ₂, the diffusion coefficients d _R and d _P, and the velocities v _R and v _P; the experimental constraints to retrieve the kinetic information from the reaction-migration-diffusion pattern PDF (348K)

Article information

DOI: https://doi.org/10.1039/B805412F
Article type: Paper
Submitted: 29 Oct 2007
Accepted: 11 Apr 2008
First published: 23 May 2008

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Lab Chip, 2008,8, 1205-1209

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Fourier transform to analyse reaction-diffusion dynamics in a microsystem

A. Estévez-Torres, T. Le Saux, C. Gosse, A. Lemarchand, A. Bourdoncle and L. Jullien, Lab Chip, 2008, 8, 1205 DOI: 10.1039/B805412F

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Fourier transform to analyse reaction-diffusion dynamics in a microsystem†‡

Abstract

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Fourier transform to analyse reaction-diffusion dynamics in a microsystem

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