Diffusion–reaction modelling of DNA hybridization kinetics on biochips

When does near-wall hindered diffusion influence mass transport towards targets?

The diffusion of a particle is slowed as it moves close to a surface. We identify the conditions under which this hindered diffusion is significant and show that is strongly dependant on the sizes of both the particle and the target. We focus particularly on the transport of nano-particles to a variety of targets including a planar surface, a sphere, a disc and a wire, and provide data which allows the frequency of impacts to be inferred for a variety of experimental conditions. Equations are given to estimate the particle fluxes and we explain literature observations reported on the detected frequency of impacts. Finally we observe a drastic effect on the calculation of the mean first passage time of a single particle impacting a sub-micron sized target, showing the importance of this effect in biological systems.

Eliminating Size-Associated Diffusion Constraints for Rapid On-Surface Bioassays with Nanoparticle Probes

Nanoparticle probes enable implementation of advanced on-surface assay formats, but impose often underappreciated size-associated constraints, in particular on assay kinetics and sensitivity. The present study highlights substantially slower diffusion-limited assay kinetics due to the rapid development of a nanoprobe depletion layer next to the surface, which static incubation and mixing of bulk solution employed in conventional assay setups often fail to disrupt. In contrast, cyclic solution draining and replenishing yields reaction-limited assay kinetics irrespective of the probe size. Using common surface bioassays, enzyme-linked immunosorbent assays and immunofluorescence, this study shows that this conceptually distinct approach effectively "erases" size-dependent diffusion constraints, providing a straightforward route to rapid on-surface bioassays employing bulky probes and procedures involving multiple labeling cycles, such as multicycle single-cell molecular profiling. For proof-of-concept, the study demonstrates that the assay time can be shortened from hours to minutes with the same probe concentration and, at a typical incubation time, comparable target labeling can be achieved with up to eight times lower nanoprobe concentration. The findings are expected to enable realization of novel assay formats and stimulate development of rapid on-surface bioassays with nanoparticle probes.

Straightforward Micropatterning of Oligonucleotides in Microfluidics by Novel Spin-On ZrO₂ Surfaces

DNA biochip assays often require immobilization of bioactive molecules on solid surfaces. A simple biofunctionalization protocol and precise spatial binding represent the two major challenges in order to obtain localized region specific biopatterns into lab-on-a-chip (LOC) systems. In this work, a simple strategy to anchor oligonucleotides on microstructured areas and integrate the biomolecules patterns within microfluidic channels is reported. A photosensitive ZrO2 system is proposed as an advanced platform and versatile interface for specific positioning and oriented immobilization of phosphorylated DNA. ZrO2 sol-gel structures were easily produced on fused silica by direct UV lithography, allowing a simple and fast patterning process with different geometries. A thermal treatment at 800 °C was performed to crystallize the structures and maximize the affinity of DNA to ZrO2. Fluorescent DNA strands were selectively immobilized on the crystalline patterns inside polydimethylsiloxane (PDMS) microchannels, allowing high specificity and rapid hybridization kinetics. Hybridization tests confirmed the correct probe anchoring and the bioactivity retention, while denaturation experiments demonstrated the possibility of regenerating the surface.

DNA hybridization on silicon nanowire platform prepared by glancing angle deposition and metal assisted chemical etching process

Porous nanowire surface provides high capacity for oligonucleotide hybridization.

Increasing hybridization rate and sensitivity of DNA microarrays using isotachophoresis

We present an on-chip electrokinetic method to increase the reaction kinetics and sensitivity of DNA microarray hybridization. We use isotachophoresis (ITP) to preconcentrate target molecules in solution and transport them over the immobilized probe sites of a microarray, greatly increasing the binding reaction rate. We show theoretically and experimentally that ITP-enhanced microarrays can be hybridized much faster and with higher sensitivity than conventional methods. We demonstrate our assay using a microfluidic system consisting of a PDMS microchannel superstructure bonded onto a glass slide on which 60 spots of 20-27 nt ssDNA oligonucleotide probes are immobilized. Our 30 min assay results in an 8.2 fold higher signal than the conventional overnight hybridization at 100 fM target concentration. We show rapid and quantitative detection over 4 orders of magnitude dynamic range of target concentration with no increase in the nonspecific signal. Our technique can be further multiplexed for higher density microarrays and extended for other reactions of target-surface immobilized ligands.

Oligonucleotide microarray chip for the quantification of MS2, ΦX174, and adenoviruses on the multiplex analysis platform MCR 3

Pathogenic viruses are emerging contaminants in water which should be analyzed for water safety to preserve public health. A strategy was developed to quantify RNA and DNA viruses in parallel on chemiluminescence flow-through oligonucleotide microarrays. In order to show the proof of principle, bacteriophage MS2, ΦX174, and the human pathogenic adenovirus type 2 (hAdV2) were analyzed in spiked tap water samples on the analysis platform MCR 3. The chemiluminescence microarray imaging unit was equipped with a Peltier heater for a controlled heating of the flow cell. The efficiency and selectivity of DNA hybridization could be increased resulting in higher signal intensities and lower cross-reactivities of polymerase chain reaction (PCR) products from other viruses. The total analysis time for DNA/RNA extraction, cDNA synthesis for RNA viruses, polymerase chain reaction, single-strand separation, and oligonucleotide microarray analysis was performed in 4-4.5 h. The parallel quantification was possible in a concentration range of 9.6 × 10(5)-1.4 × 10(10) genomic units (GU)/mL for bacteriophage MS2, 1.4 × 10(5)-3.7 × 10(8) GU/mL for bacteriophage ΦX174, and 6.5 × 10(3)-1.2 × 10(5) for hAdV2, respectively, by using a measuring temperature of 40 °C. Detection limits could be calculated to 6.6 × 10(5) GU/mL for MS2, 5.3 × 10(3) GU/mL for ΦX174, and 1.5 × 10(2) GU/mL for hAdV2, respectively. Real samples of surface water and treated wastewater were tested. Generally, found concentrations of hAdV2, bacteriophage MS2, and ΦX174 were at the detection limit. Nevertheless, bacteriophages could be identified with similar results by means of quantitative PCR and oligonucleotide microarray analysis on the MCR 3.

Peptide nucleic acid molecular beacons for the detection of PCR amplicons in droplet-based microfluidic devices

The use of droplet-based microfluidics and peptide nucleic acid molecular beacons for the detection of polymerase chain reaction (PCR)-amplified DNA sequences within nanoliter-sized droplets is described in this work. The nanomolar-attomolar detection capabilities of the method were preliminarily tested by targeting two different single-stranded DNA sequences from the genetically modified Roundup Ready soybean and the Olea europaea genomes and detecting the fluorescence generated by peptide nucleic acid molecular beacons with fluorescence microscopy. Furthermore, the detection of 10 nM solutions of PCR amplicon of DNA extracted from leaves of O. europaea L. encapsulated in nanoliter-sized droplets was performed to demonstrate that peptide nucleic acid molecular beacons can discriminate O. europaea L. cultivar species carrying different single-nucleotide polymorphisms.

Improving DNA capture on microarrays by integrated repeated denaturing

Hybridization of nucleic acids to microarrays is a crucial step for several biological and biomedical applications. However, the poor efficiency and resulting long incubation times are major drawbacks. In addition to diffusion limitation, back hybridization to complementary strands in solution is shown to be an important cause of the low efficiency. In this paper, repeated denaturing in an integrated device has been investigated in order to increase the efficiency of microarray hybridization. The sample solution is circulated from the microarray chamber over a denaturing zone and back in a closed loop. In addition to the improved binding rate due to flow, repeated denaturing significantly increases the total amount of molecules bound. Our results demonstrate that cyclic repeated denaturing improves the efficiency of hybridization by up to an order of magnitude over a broad range of concentrations studied (1 pM to 100 nM).

Rapid microarray processing using a disposable hybridization chamber with an integrated micropump

We present a disposable microarray hybridization chamber with an integrated micropump to speed up diffusion based reaction kinetics by generating convective flow. The time-to-result for the hybridization reaction was reduced from 60 min (standard protocol) down to 15 min for a commercially available microarray. The integrated displacement micropump is pneumatically actuated. It includes two active microvalves and is designed for low-cost, high volume manufacturing. The setup is made out of two microstructured polymer parts realized in polycarbonate (PC) separated by a 25 μm thermoplastic elastomer (TPE) membrane. Pump rate can be controlled between 0.3 μl s(-1) and 5.7 μl s(-1) at actuation frequencies between 0.2 Hz and 8.0 Hz, respectively.

Systematic spatial bias in DNA microarray hybridization is caused by probe spot position-dependent variability in lateral diffusion

BACKGROUND

The hybridization of nucleic acid targets with surface-immobilized probes is a widely used assay for the parallel detection of multiple targets in medical and biological research. Despite its widespread application, DNA microarray technology still suffers from several biases and lack of reproducibility, stemming in part from an incomplete understanding of the processes governing surface hybridization. In particular, non-random spatial variations within individual microarray hybridizations are often observed, but the mechanisms underpinning this positional bias remain incompletely explained.

METHODOLOGY/PRINCIPAL FINDINGS

This study identifies and rationalizes a systematic spatial bias in the intensity of surface hybridization, characterized by markedly increased signal intensity of spots located at the boundaries of the spotted areas of the microarray slide. Combining observations from a simplified single-probe block array format with predictions from a mathematical model, the mechanism responsible for this bias is found to be a position-dependent variation in lateral diffusion of target molecules. Numerical simulations reveal a strong influence of microarray well geometry on the spatial bias.

CONCLUSIONS

Reciprocal adjustment of the size of the microarray hybridization chamber to the area of surface-bound probes is a simple and effective measure to minimize or eliminate the diffusion-based bias, resulting in increased uniformity and accuracy of quantitative DNA microarray hybridization.

Microfluidic DNA microarray analysis: a review

Microarray DNA hybridization techniques have been used widely from basic to applied molecular biology research. Generally, in a DNA microarray, different probe DNA molecules are immobilized on a solid support in groups and form an array of microspots. Then, hybridization to the microarray can be performed by applying sample DNA solutions in either the bulk or the microfluidic manner. Because the immobilized probe DNA binds and retains its complementary target DNA, detection is achieved through the read-out of the tagged markers on the sample target molecules. The recent microfluidic hybridization method shows the advantages of less sample usage and reduced incubation time. Here, sample solutions are confined in microfabricated channels and flow through the probe microarray area. The high surface-to-volume ratio in microchannels of nanolitre volume greatly enhanced the sensitivity as obtained with the bulk solution method. To generate nanolitre flows, different techniques have been developed, and this including electrokinetic control, vacuum suction and syringe pumping. The latter two are pressure-driven methods which are more flexible without the need of considering the physicochemical properties of solutions. Recently, centrifugal force is employed to drive liquid movement in microchannels. This method utilizes the body force from the liquid itself and there are no additional solution interface contacts such as from electrodes or syringes and tubing. Centrifugal force driven flow also features the ease of parallel hybridizations. In this review, we will summarize the recent advances in microfluidic microarray hybridization and compare the applications of various flow methods.

Numerical study of in situ preconcentration for rapid and sensitive nanoparticle detection

This paper presents a numerical study of a preconcentrator design that can effectively increase the binding rate at the sensor in a real time manner. The particle enrichment is realized by the ac electrothermal (ACET) effect, which induces fluid movement to carry nanoparticles toward the sensor. The ACET is the only electrical method to manipulate a biological sample of medium to high ionic strength (>0.1 Sm, e.g., 0.06x phosphate buffered saline). The preconcentrator consists of a pair of electrodes striding over the sensor, simple to implement as it is electrically controlled. This preconcentrator design is compatible and can be readily integrated with many types of micro- to nanosensors. By applying an ac signal over the electrodes, local vortices will generate a large velocity perpendicular to the reaction surface, which enhances transport of analytes toward the sensor. Our simulation shows that the binding rate at the sensor surface is greatly enhanced. Our study also shows that the collection of analytes will be affected by various parameters such as channel height, inlet velocity, and sensor size, and our results will provide guidance in optimization of the preconcentrator design.

Retrieval efficiency of DNA-based databases of digital signals

Using DNA to store digital signals, or data in general, offers significant advantages when compared to other media. The DNA molecule, especially in its double-stranded form, is very stable, compact, and inexpensive. In the past, we have shown that DNA can be used to store and retrieve digital signals encoded and stored in DNA. We have also shown that DNA hybridization can be used as a similarity criterion for retrieving digital signals encoded and stored in a DNA database. Retrieval is achieved through hybridization of "query" and "data" DNA molecules. In this paper, we present a mathematical framework to simulate single-query and parallel-query scenarios, and to estimate hybridization efficiency. Our framework allows for exact numerical solutions as well as closed-form approximations under certain conditions. Similarly to the digital domain, we define a DNA SNR measure to assess the performance of the DNA-based retrieval scheme in terms of database size and source statistics. With approximations, we show that the SNR of any finite-sized DNA-based database is upper bounded by the SNR of an infinitely large DNA-based database that has the same source distribution. Computer simulations are presented to validate our results.

Emerging optofluidic technologies for point-of-care genetic analysis systems: a review

This review describes recently emerging optical and microfluidic technologies suitable for point-of-care genetic analysis systems. Such systems must rapidly detect hundreds of mutations from biological samples with low DNA concentration. We review optical technologies delivering multiplex sensitivity and compatible with lab-on-chip integration for both tagged and non-tagged optical detection, identifying significant source and detector technology emerging from telecommunications technology. We highlight the potential for improved hybridization efficiency through careful microfluidic design and outline some novel enhancement approaches using target molecule confinement. Optimization of fluidic parameters such as flow rate, channel height and time facilitates enhanced hybridization efficiency and consequently detection performance as compared with conventional assay formats (e.g. microwell plates). We highlight lab-on-chip implementations with integrated microfluidic control for "sample-to-answer" systems where molecular biology protocols to realize detection of target DNA sequences from whole blood are required. We also review relevant technology approaches to optofluidic integration, and highlight the issue of biomolecule compatibility. Key areas in the development of an integrated optofluidic system for DNA hybridization are optical/fluidic integration and the impact on biomolecules immobilized within the system. A wide range of technology platforms have been advanced for detection, quantification and other forms of characterization of a range of biomolecules (e.g. RNA, DNA, protein and whole cell). Owing to the very different requirements for sample preparation, manipulation and detection of the different types of biomolecules, this review is focused primarily on DNA-DNA interactions in the context of point-of-care analysis systems.

An integrated reaction-transport model for DNA surface hybridization: implications for DNA microarrays

DNA microarrays have the potential to revolutionize medical diagnostics and development of individualized medical treatments. However, accurate quantification of scantily expressed genes and precise measurement of small differences between different treatments is not currently feasible. A major challenge remains the understanding of physicochemical processes and rate-limiting steps of hybridization of complex mixtures of DNA targets on immobilized DNA probes. To this end, we developed a mathematical model to describe the effects of molecular orientation and transport on the kinetics and efficiency of hybridization. First, we calculated the hybridization rate constant based on the distance between the complementary nucleotides of the target and probe DNA. The surface reaction rate was then integrated with translational and rotational transport of target DNA to the surface to calculate the kinetics of hybridization. Our model predicts that hybridization of short DNA targets is diffusion limited but long targets are kinetically limited. In addition, for DNA targets with wide size distribution, it may be difficult to distinguish between specific binding of long targets from nonspecific binding of short ones. Our model provides novel insight into the process of DNA hybridization and suggests operating conditions to improve the sensitivity and accuracy of microarray experiments.

Convective flow effects on DNA biosensors

We explore theoretic limits of convective flux effects, as a function of species concentrations and sample volume, in biosensing systems containing target species with differing affinities. A finite element method is used to simulate mass transport of DNA through a microfluidic chamber to the sensing surface where hybridization of DNA is modeled using the corresponding kinetic equations. Our results show enhancements due to convection are controlled by the concentration and sample volume of the lower affinity species, while the upper-limit of the enhancements are determined by the concentration and sample volume of the higher affinity species. Additionally, enhancements are controlled by the degree of competition between the two species, which is related to the total fraction of binding sites used.

Optical study of DNA surface hybridization reveals DNA surface density as a key parameter for microarray hybridization kinetics

We investigate the kinetics of DNA hybridization reactions on glass substrates, where one 22 mer strand (bound-DNA) is immobilized via phenylene-diisothiocyanate linker molecule on the substrate, the dye-labeled (Cy3) complementary strand (free-DNA) is in solution in a reaction chamber. We use total internal reflection fluorescence for surface detection of hybridization. As a new feature we perform a simultaneous real-time measurement of the change of free-DNA concentration in bulk parallel to the total internal reflection fluorescence measurement. We observe that the free-DNA concentration decreases considerably during hybridization. We show how the standard Langmuir kinetics needs to be extended to take into account the change in bulk concentration and explain our experimental results. Connecting both measurements we can estimate the surface density of accessible, immobilized bound-DNA. We discuss the implications with respect to DNA microarray detection.

Diffusion limitation: a possible source for the occurrence of doughnut patterns on DNA microarrays

Doughnut shaped hybridization patterns on DNA microarrays are mainly allocated to spotting or drying artifacts. The present study reports on results obtained from four different approaches that when combined generate a better view on the occurrence of these patterns. This study points out that doughnuts are not only formed during the spotting and drying process, but the hybridization process itself can be considered as an important cause. A combination of computer simulations, theoretical, optical, and experimental techniques shows how ring-shaped hybridization patterns occur when diffusion-limited conditions are present during the hybridization process. The theoretical assumptions as well as the simulations indicate that, for the basic geometry of a microarray hybridization experiment, a large amount of binding molecules reach the spot from the sides (and not from above the spot), leading to a preferential binding on the rims of the spot. These patterns seem to occur especially during hybridization with short oligonucleotides that have a very high binding probability and fast hybridization kinetics. Longer target DNA molecules lead to a more evenly distributed intensity signal. Furthermore, the diffusion-limited conditions also lead to pronounced hybridization intensity patterns on the scale of a whole spot block, where larger intensities are obtained on the edges of the block compared with the spots laying in the center of the block.

A dimensionless number analysis of the hybridization process in diffusion- and convection-driven DNA microarray systems

The present theoretical analysis aims at providing a general understanding of the combined effect the many different process variables have on the hybridization rate in diffusion- and convection-driven DNA microarray systems. It is shown that all process variables can be grouped into only four different dimensionless numbers (the Damkohler number Da, the dimensionless association constant kappa(A), the dimensionless initial concentration C'(0) and a geometrical ratio alpha). These four numbers have a straightforward physical meaning and only contain easily measurable parameters. Reducing the solution space from 7D to 4D, the dimensionless number representation greatly facilitates the insight in the conditions leading to the occurrence of diffusion-limited hybridization rates in both diffusion- and convection-driven DNA microarray systems. This in turn simplifies their design and the interpretation of the experimental results that are obtained with these systems.

Enhancing deoxyribonucleic acid (DNA) detection sensitivity through microconcentration on patterned fluorocarbon polymer surface

A microconcentration concept is proposed to enhance the sensitivity of deoxyribonucleic acid (DNA) hybridization due to evaporation of the hybridization solution on a patterned hydrophobic fluorocarbon polymer (FCP) surface. The combination of microconcentration and hybridization processes provides a tool to manipulate nanoliter solution. To fabricate a patterned DNA microarray with hydrophobic surrounding surface, a plasma polymerization and lift-off protocol was designed so that the process can be carried out in a standard microelectronic fabrication laboratory with minimal adjustments on the equipment. After microconcentration, a 1 microL hybridization solution can be concentrated to below 10 nL, which improves the hybridization sensitivity by a factor of 100.

Comparative modeling and analysis of microfluidic and conventional DNA microarrays

A theoretical analysis was developed to predict molecular hybridization rates for microarrays where samples flow through microfluidic channels and for conventional microarrays where samples remain stationary during hybridization. The theory was validated by using a multiplexed microfluidic microarray where eight samples were hybridized simultaneously against eight probes using 60-mer DNA strands. Mass transfer coefficients ranged over three orders of magnitude where either kinetic reaction rates or molecular diffusion rates controlled overall hybridization rates. Probes were printed using microfluidic channels and also conventional spotting techniques. Consistent with the theoretical model, the microfluidic microarray demonstrated the ability to print DNA probes in less than 1 min and to detect 10-pM target concentrations with hybridization times in less than 5 min.

Measurements of diffusion coefficients in 1-D micro- and nanochannels using shear-driven flows

The present paper describes a method for measuring the molecular diffusion coefficient of fluorescent molecules in microfluidic systems. The proposed static shear-driven flow method allows one to perform diffusion measurements in a fast and accurate manner. The method also allows one to work in very thin (i.e. submicron) channels, hence allowing the investigation of diffusion in highly confined spaces. In the deepest investigated channels, the obtained results were comparable to the existing literature values, but when the channel size dropped below the micrometer range, a significant decrease (more than 30%) in molecular diffusivity was observed. The reduction of the diffusivity was most significant for the largest considered molecules (ssDNA oligomers with a size ranging between 25 to 100 bases), but the decrease was also observed for smaller tracer molecules (FITC). This decrease can be attributed to the interactions of the analyte molecules with the channel walls, which can no longer be neglected when the depth of the channel reaches a critical value. The change in diffusivity seems to become more explicit as the molecular weight of the analytes increases.

Diffusion, mixing, and associated dye effects in DNA-microarray hybridizations

Typical DNA microarrays utilize diffusion of dye-labeled cDNA probes followed by sequence-specific hybridization to immobilized targets. Here we experimentally estimated the distance typical probes travel during static 16-h hybridizations. Probes labeled with Cy3 and Cy5 were individually introduced to opposite sides of a microarray with minimal convective mixing. Oppositely labeled probes diffused across the initial front separating the two solutions, generating a zone with both dyes present. Diffusion-distance estimates for Cy3- and Cy5-labeled cDNAs were 3.8 mm and 2.6 mm, respectively, despite having almost identical molecular masses. In separate 16-h hybridization experiments with oppositely labeled probes premixed, arrays that were continuously mixed had 15-20% higher signal intensities than arrays hybridized statically. However, no change was observed in the Cy3/Cy5 signal intensity ratio between continuously mixed and static hybridizations. This suggests that the observed dye bias in diffusion-distance estimates results from differences in the detection limits of Cy3 and Cy5-labeled cDNA, a potential concern for array data on low-abundance transcripts. Our conservative diffusion-distance estimates indicate that replicate targets >7.6 mm apart will not compete for scarce probes. Also, raising the microarray gap height would delay the onset of diffusion-limited hybridization by increasing the amount of available probe.

High-Velocity Transport of Nanoparticles through 1-D Nanochannels at Very Large Particle to Channel Diameter Ratios

We explore the possibility of generating high-velocity flows of nanoparticles through flat-rectangular nanochannels, which are only 50% deeper than the diameter of the particles. Using the shear-driven flow principle, 200-nm particles can, for example, be transported through a 300-nm-deep channel at velocities up to 35 mm/s (upper limit of our current setup). Working under high-pH conditions, the velocity of the carboxylated nanoparticles still respects the small-molecule velocity law, despite the high degree of confinement to which the particles are subjected. The high degree of confinement is also found to lead to a reduced band broadening. When injecting sharply delimited particle plugs, the plate heights observed for the flow of 0.2-microm particles through a 0.3-microm channel (with plate heights of the order of 1-2 microm) are, for example, approximately 1 order of magnitude smaller than for the flow of 1.0-microm particles through a 1.4-microm channel. It is also found that the band broadening is, within its statistical variation, independent of the fluid velocity over a large range of particle velocities (5-35 mm/s). The flow method distinguishes itself from pressure-driven field-flow fractionation and hydrodynamic chromatography in that the mean particle velocity is independent of the particle size over the entire range of possible particle to channel diameter ratios.