Taylor dispersion in polymerase chain reaction in a microchannel

Lee, Jinkee; Kulla, Elejdis; Chauhan, Anuj; Tripathi, Anubhav

doi:10.1063/1.2973819

Cited by 11 publications

(5 citation statements)

References 47 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The dashed black line is a fit to (2Dt) 1/2 with D ¼ 1.7 Â 10 À9 m 2 s À1 , 5 times larger than the value given in TableI. This, however, is in good agreement with the Taylor dispersion theory,19,20 since P e x 15.…”

supporting

confidence: 65%

“…4(c) (1.7 × 10 −9 m 2 s −1 ) indicating a quantitative discrepancy between the experimental data and our model. We suspect that this is due to some accelerated diffusion mechanism occurring at the front, such as Taylor dispersion [16,17]. To resolve this issue, experiments of higher accuracy are required as well as direct tracking of the sugar without using a dye.…”

Section: B Corrections To the Equation Of Motionmentioning

confidence: 99%

See 1 more Smart Citation

Osmotically driven flows in microchannels separated by a semipermeable membrane

et al. 2009

Self Cite

View full text Add to dashboard Cite

We perform experimental investigations of osmotically driven flows in artificial microchannels by studying the dynamics and structure of the front of a sugar solution traveling in 200 µm wide and 50 − 200 µm deep microchannels. We find that the sugar front travels with constant speed, and that this speed is proportional to the concentration of the sugar solution and inversely proportional to the depth of the channel. We propose a theoretical model, which, in the limit of low axial flow resistance, predicts that the sugar front indeed should travel with a constant velocity. The model also predicts an inverse relationship between the depth of the channel and the speed and a linear relation between the sugar concentration and the speed. We thus find good agreement between the experimental results and the predictions of the model. Our motivation for studying osmotically driven flows is that they are believed to be responsible for the translocation of sugar in plants through the phloem sieve element cells. Also, we suggest that osmotic elements can act as integrated pumps with no movable parts in lab-on-a-chip systems.

show abstract

supporting

confidence: 65%

Section: B Corrections To the Equation Of Motionmentioning

confidence: 99%

Osmotically driven flows in microchannels separated by a semipermeable membrane

et al. 2009

Self Cite

View full text Add to dashboard Cite

show abstract

“…[15] studied the thermal performance of the continuous flow PCR chip by taking temperature non-uniformity and deviations from the target temperatures in different reaction zones as the evaluating parameters. Lee et al (2008) [16] numerically studied the Taylor dispersion effect on a droplet-based PCR system. The results indicated that due to the dispersion of the nucleotide inside the microchannel caused by the flowing, complete depletion of dNTPs at certain axial location along the microchannel may be generated and leads to an unexpected termination of DNA amplification.…”

Section: Introductionmentioning

confidence: 99%

Kinetic characteristics of continuous flow polymerase chain reaction chip: A numerical investigation

Wang

2010

Sci. China Technol. Sci.

View full text Add to dashboard Cite

Continuous flow PCR (polymerase chain reaction) chip holds impressive advantages compared to micro chamber PCR chip. In order to have better understanding of kinetic characteristics of continuous flow PCR chip, a comprehensive mathematical model is presented in this paper, including melting, annealing and extension phases of a typical PCR process which has the essence of a convection-diffusion-reaction system. Using this model, we can simulate the PCR process in series of reaction cycles. Numerical results show that the average sample velocity plays a significant role in affecting the amplification efficiency. Also, appropriate combination of the PCR mixture is important for high-quality DNA amplification. Giving a large initial DNA concentration range, the continuous flow PCR scheme holds excellent real-time detection ability theoretically. The present numerical model bridges the temperature distribution to the real DNA amplification, and thereby is able to successfully predict continuous flow PCR properties which are important for the chip design.continuous flow PCR chip, numerical simulation, convection-diffusion-reaction system Citation:Wang S Y, Wang W. Kinetic characteristics of continuous flow polymerase chain reaction chip: A numerical investigation.

show abstract

“…Since the pioneering work of Taylor this problem has been extended to cover more complicated settings including various geometrical complexities, 24,25 oscillating flows, 7,26 transient phenomena, 19 effects of chemical reactions, [27][28][29] and many others (see, for instance, books 1, 2 and recent papers 19,21 ). An important generalization of the problem is to account for the "effect of wall" (absorption and desorption, as well as diffusion of the particle on the wall).…”

Section: Introductionmentioning

confidence: 99%

Aris-Taylor dispersion with drift and diffusion of particles on the tube wall

Berezhkovskii

Skvortsov²

2013

The Journal of Chemical Physics

View full text Add to dashboard Cite

A laminar stationary flow of viscous fluid in a cylindrical tube enhances the rate of diffusion of Brownian particles along the tube axis. This so-called Aris-Taylor dispersion is due to the fact that cumulative times, spent by a diffusing particle in layers of the fluid moving with different velocities, are random variables which depend on the realization of the particle stochastic trajectory in the radial direction. Conceptually similar increase of the diffusivity occurs when the particle randomly jumps between two states with different drift velocities. Here we develop a theory that contains both phenomena as special limiting cases. It is assumed (i) that the particle in the flow can reversibly bind to the tube wall, where it moves with a given drift velocity and diffusivity, and (ii) that the radial and longitudinal diffusivities of the particle in the flow may be different. We derive analytical expressions for the effective drift velocity and diffusivity of the particle, which show how these quantities depend on the geometric and kinetic parameters of the model.

show abstract

Taylor dispersion in polymerase chain reaction in a microchannel

Cited by 11 publications

References 47 publications

Osmotically driven flows in microchannels separated by a semipermeable membrane

Osmotically driven flows in microchannels separated by a semipermeable membrane

Kinetic characteristics of continuous flow polymerase chain reaction chip: A numerical investigation

Aris-Taylor dispersion with drift and diffusion of particles on the tube wall

Contact Info

Product

Resources

About