. Aref, Stirring by chaotic advection, Journal of Fluid Mechanics, vol.357, issue.-1, pp.1-21, 1984.
DOI : 10.1063/1.525415

M. Ottino, The Kinematics of Mixing: Stretching, Chaos and Transport, 1989.

P. Toussaint and F. Carrière, A numerical Eulerian approach to mixing by chaotic advection, Physics of Fluids, vol.7, issue.11, pp.2587-2600, 1995.
DOI : 10.1063/1.868707

URL : https://hal.archives-ouvertes.fr/hal-01348398

D. Stroock, S. K. Dertinger, A. Ajdari, I. Mezic, H. A. Stone et al., Chaotic Mixer for Microchannels, Science, vol.295, issue.5555, pp.647-651, 2002.
DOI : 10.1126/science.1066238

V. Cerbelli, A. Vitacolonna, M. Adrover, and . Giona, Eigenvalue???eigenfunction analysis of infinitely fast reactions and micromixing regimes in regular and chaotic bounded flows, Chemical Engineering Science, vol.59, issue.11, pp.2125-2144, 2004.
DOI : 10.1016/j.ces.2004.02.005

F. Cerbelli, M. Garofalo, and . Giona, Steady-state performance of an infinitely fast reaction in a three-dimensional open Stokes flow, Chemical Engineering Science, vol.63, issue.17, pp.4396-4411, 2008.
DOI : 10.1016/j.ces.2008.06.003

T. Pon and S. Yu, Linker phosphoramidite reagents for the attachment of the first nucleoside to underivatized solid-phase supports, Nucleic Acids Research, vol.32, issue.2, pp.623-631, 2004.
DOI : 10.1093/nar/gkh222

E. Nkodo, J. M. Garnier, B. Tinland, H. Ren, C. Desruisseaux et al., Diffusion coefficient of DNA molecules during free solution electrophoresis, ELECTROPHORESIS, vol.73, issue.12, pp.2424-2432, 2001.
DOI : 10.1002/1522-2683(200107)22:12<2424::AID-ELPS2424>3.0.CO;2-1

J. Schaupp, G. Jiang, T. G. Myers, and M. A. Wilson, Active mixing during hybridization improves the accuracy and reproducibility of microarray results, BioTechniques, vol.38, issue.1, pp.117-119, 2005.
DOI : 10.2144/05381MT01

Y. F. Henry and C. K. Sullivan, Rapid DNA hybridization in microfluidics, TrAC Trends in Analytical Chemistry, vol.33, issue.0, pp.9-22, 2012.
DOI : 10.1016/j.trac.2011.09.014

A. Raynal, F. Beuf, J. Plaza, P. Scott, M. Carriere et al., Towards better DNA chip hybridization using chaotic advection, Physics of Fluids, vol.19, issue.1, p.17112, 2007.
DOI : 10.1063/1.2431322

URL : https://hal.archives-ouvertes.fr/hal-00272171

J. Beuf, . Gence, . Ph, and F. Carrière, Chaotic mixing efficiency in different geometries of Hele-Shaw cells, International Journal of Heat and Mass Transfer, vol.53, issue.4, pp.684-693, 2010.
DOI : 10.1016/j.ijheatmasstransfer.2009.10.024

URL : https://hal.archives-ouvertes.fr/hal-00566005

F. Raynal, A. Plaza, . Beuf, . Ph, E. Carrière et al., Study of a chaotic mixing system for DNA chip hybridization chambers, Physics of Fluids, vol.16, issue.9, pp.63-66, 2004.
DOI : 10.1063/1.1775807

URL : https://hal.archives-ouvertes.fr/hal-01346926

J. Cloarec, Y. Chevolot, E. Laurenceau, M. Phaner-goutorbe, and E. Souteyrand, A multidisciplinary approach for molecular diagnostics based on biosensors and microarrays, IRBM, vol.29, issue.2-3, pp.105-127, 2008.
DOI : 10.1016/j.rbmret.2007.12.008

D. J. Chan, S. E. Graves, and . Mckenzie, The biophysics of DNA hybridization with immobilized oligonucleotide probes, Biophysical Journal, vol.69, issue.6, pp.2243-2255, 1995.
DOI : 10.1016/S0006-3495(95)80095-0

R. Henry, Real-Time Measurements of DNA Hybridization on Microparticles with Fluorescence Resonance Energy Transfer, Analytical Biochemistry, vol.276, issue.2, pp.204-214, 1999.
DOI : 10.1006/abio.1999.4344

M. Dauxois, A. R. Peyrard, and . Bishop, Dynamics and thermodynamics of a nonlinear model for DNA denaturation, Physical Review E, vol.47, issue.1, pp.684-695, 1993.
DOI : 10.1103/PhysRevE.47.684

S. Peyrard, G. Cuesta-l, and . James, Modelling DNA at the mesoscale: a challenge for nonlinear science?, Nonlinearity, vol.21, issue.6, p.91, 2008.
DOI : 10.1088/0951-7715/21/6/T02

URL : https://hal.archives-ouvertes.fr/hal-00390029

J. M. Metcalfe and . Ottino, Autocatalytic processes in mixing flows, Physical Review Letters, vol.72, issue.18, pp.2875-2878, 1994.
DOI : 10.1103/PhysRevLett.72.2875

D. Erickson, J. Li, and . Krull, Modeling of DNA hybridization kinetics for spatially resolved biochips, Analytical Biochemistry, vol.317, issue.2, pp.186-200, 2003.
DOI : 10.1016/S0003-2697(03)00090-3

-. Lehr, M. Reimann, A. Brandenburg, G. Sulz, and H. Klapproth, Real-Time Detection of Nucleic Acid Interactions by Total Internal Reflection Fluorescence, Analytical Chemistry, vol.75, issue.10, pp.2414-2420, 2003.
DOI : 10.1021/ac0206519

A. Zeng, J. Almadidy, U. J. Watterson, and . Krull, Interfacial hybridization kinetics of oligonucleotides immobilized onto fused silica surfaces, Sensors and Actuators B: Chemical, vol.90, issue.1-3, pp.68-75, 2003.
DOI : 10.1016/S0925-4005(03)00023-6

D. A. Zhang, D. J. Hammer, and . Graves, Competitive Hybridization Kinetics Reveals Unexpected Behavior Patterns, Biophysical Journal, vol.89, issue.5, pp.2950-2959, 2005.
DOI : 10.1529/biophysj.104.058552

A. Raynal, F. Beuf, P. Plaza, M. Carrière, J. Cabrera et al., Chaotic mixing in a Hele-Shaw cell, with applications to DNA chip hybridization, The Proceedings of MicroTAS, 2007.

J. N. Raynal and . Gence, Energy saving in chaotic laminar mixing, International Journal of Heat and Mass Transfer, vol.40, issue.14, pp.3267-3273, 1997.
DOI : 10.1016/S0017-9310(96)00383-3