Amplification factor in DC insulator-based electrokinetic devices: a theoretical, numerical, and experimental approach to operation voltage reduction for particle trapping.

Insulator-based microfluidic devices are attractive for handling biological samples due to their simple fabrication, low-cost, and efficiency in particle manipulation. However, their widespread application is limited by the high operation voltages required to achieve particle trapping. We present a theoretical, numerical, and experimental study that demonstrates these voltages can be significantly reduced (to sub-100 V) in direct-current insulator-based electrokinetic (DC-iEK) devices for micron-sized particles. To achieve this, we introduce the concept of the amplification factor-the fold-increase in electric field magnitude due to the presence of an insulator constriction-and use it to compare the performance of different microchannel designs and to direct our design optimization process. To illustrate the effect of using constrictions with smooth and sharp features on the amplification factor, geometries with circular posts and semi-triangular posts were used. These were theoretically approximated in two different systems of coordinates (bipolar and elliptic), allowing us to provide, for the first time, explicit electric field amplification scaling laws. Finite element simulations were performed to approximate the 3D insulator geometries and provide a parametric study of the effect of changing different geometrical features. These simulations were used to predict particle trapping voltages for four different single-layer microfluidic devices using two particle suspensions (2 and 6.8 µm in size). The general agreement between our models demonstrates the feasibility of using the amplification factor, in combination with nonlinear electrokinetic theory, to meet the prerequisites for the development of portable DC-iEK microfluidic systems.

Direct Current Electrokinetic Particle Trapping in Insulator-Based Microfluidics: Theory and Experiments.

The classic theory of direct-current (DC) insulator-based dielectrophoresis (iDEP) considers that, in order to elicit particle trapping, dielectrophoretic (DEP) velocity counterbalances electrokinetic (EK) motion, that is, electrophoresis (EP) and electro-osmotic flow (EOF). However, the particle velocity DEP component requires empirical correction factors (sometimes as high as 600) to account for experimental observations, suggesting the need for a refined model. Here, we show that, when applied to particle suspensions, a high-magnitude DC uniform electric field induces nonlinear particle velocities, leading to particle flow reversal beyond a critical field magnitude, referred to as the EK equilibrium condition. We further demonstrate that this particle motion can be described through an exploratory induced-charge EP nonlinear model. The model predictions were validated under an insulator-based microfluidic platform demonstrating predictive particle trapping for three different particle sizes (with an estimation error < 10%, not using correction factors). Our findings suggest that particle motion and trapping in "DC-iDEP" devices are dominated by EP and EOF, rather than by DEP effects.

Joule heating effects in optimized insulator-based dielectrophoretic devices: An interplay between post geometry and temperature rise.

Insulator-based dielectrophoresis (iDEP) is the electrokinetic migration of polarized particles when subjected to a non-uniform electric field generated by the inclusion of insulating structures between two remote electrodes. Electrode spacing is considerable in iDEP systems when compared to electrode-based DEP systems, therefore, iDEP systems require high voltages to achieve efficient particle manipulation. A consequence of this is the temperature increase within the channel due to Joule heating effects, which, in some cases, can be detrimental when manipulating biological samples. This work presents an experimental and modeling study on the increase in temperature inside iDEP devices. For this, we studied seven distinct channel designs that mainly differ from each other in their post array characteristics: post shape, post size and spacing between posts. Experimental results obtained using a custom-built copper Resistance Temperature Detector, based on resistance changes, show that the influence of the insulators produces a difference in temperature rise of approximately 4°C between the designs studied. Furthermore, a 3D COMSOL model is also introduced to evaluate heat generation and dissipation, which is in good agreement with the experiments. The model allowed relating the difference in average temperature for the geometries under study to the electric resistance posed by the post array in each design.

Simple Approach to Reducing Particle Trapping Voltage in Insulator-Based Dielectrophoretic Systems.

Insulator-based dielectrophoresis (iDEP) is a microfluidic technique used for particle analysis in a wide array of applications. Significant efforts are dedicated to improve iDEP systems by reducing voltage requirements. This study assesses how the performance of an iDEP system, in terms of particle trapping, depends on the number of insulating obstacles longitudinally present in the microchannel. In analogy with Kirchhoff's loop rule, iDEP systems were analyzed as a series combination of electrical resistances, where the equivalent resistance of the post array is composed by a number of individual resistors (columns of insulating posts). It was predicted by the COMSOL model, and later confirmed by experimental results, that reducing the number of columns of insulating posts significantly affects the electric field distribution, decreasing the required voltage to dielectrophoretically trap particles within the post array. As an application, it was demonstrated that decreasing the number of columns in the post array allows for the dielectrophoretic trapping of nanometer-scale particles at voltages well below those reported in previous similar iDEP systems. These findings illustrate how the iDEP channel configuration can be customized for specific applications.

Sperm cells manipulation employing dielectrophoresis.

Infertility studies are an important growing field, where new methods for the manipulation, enrichment and selection of sperm cells are required. Microfluidic techniques offer attractive advantages such as requirement of low sample volume and short processing times in the range of second or minutes. Presented here is the application of insulator-based dielectrophoresis (iDEP) for the enrichment and separation of mature and spermatogenic cells by employing a microchannel with cylindrical insulating structures with DC electric potentials in the range of 200-1500 V. The results demonstrated that iDEP has the potential to concentrate sperm cells and distinguish between mature and spermatogenic cells by exploiting the differences in shape which lead to differences in electric polarization. Viability assessments revealed that a significant percentage of the cells are viable after the dielectrophoretic treatment, opening the possibility for iDEP to be developed as a tool in infertility studies.

Insulator-based dielectrophoresis of microorganisms: theoretical and experimental results.

Dielectrophoresis (DEP) is the motion of particles due to polarization effects in nonuniform electric fields. DEP has great potential for handling cells and is a non-destructive phenomenon. It has been utilized for different cell analysis, from viability assessments to concentration enrichment and separation. Insulator-based DEP (iDEP) provides an attractive alternative to conventional electrode-based systems; in iDEP, insulating structures are used to generate nonuniform electric fields, resulting in simpler and more robust devices. Despite the rapid development of iDEP microdevices for applications with cells, the fundamentals behind the dielectrophoretic behavior of cells has not been fully elucidated. Understanding the theory behind iDEP is necessary to continue the progress in this field. This work presents the manipulation and separation of bacterial and yeast cells with iDEP. A computational model in COMSOL Multiphysics was employed to predict the effect of direct current-iDEP on cells suspended in a microchannel containing an array of insulating structures. The model allowed predicting particle behavior, pathlines and the regions where dielectrophoretic immobilization should occur. Experimental work was performed at the same operating conditions employed with the model and results were compared, obtaining good agreement. This is the first report on the mathematical modeling of the dielectrophoretic response of yeast and bacterial cells in a DC-iDEP microdevice.

Separation of mixtures of particles in a multipart microdevice employing insulator-based dielectrophoresis.

Dielectrophoresis is the electrokinetic movement of particles due to polarization effects in the presence of non-uniform electric fields. In insulator-based dielectrophoresis (iDEP) regions of low and high electric field intensity, i.e. non-uniformity of electric field, are produced when the cross-sectional area of a microchannel is decreased by the presence of electrical insulating structures between two electrodes. This technique is increasingly being studied for the manipulation of a wide variety of particles, and novel designs are continuously developed. Despite significant advances in the area, complex mixture separation and sample fractionation continue to be the most important challenges. In this work, a microchannel design is presented for carrying out direct current (DC)-iDEP for the separation of a mixture of particles. The device comprises a main channel, two side channels and two sections of cylindrical posts with different diameters, which will generate different non-uniformities in the electric field on the main channel, designed for the discrimination and separation of particles of two different sizes. By applying an electric potential of 1000 V, a mixture of 1 and 4 µm polystyrene microspheres were dielectrophoretically separated and concentrated at the same time and then redirected to different outlets. The results obtained here demonstrate that, by carefully designing the device geometry and selecting operating conditions, effective sorting of particle mixtures can be achieved in this type of multi-section DC-iDEP devices.

Simultaneous concentration and separation of microorganisms: insulator-based dielectrophoretic approach.

Microanalytical methods offer attractive characteristics for rapid microbial detection and concentration. There is a growing interest in the development of microscale separation techniques. Dielectrophoresis (DEP), a nondestructive electrokinetic transport mechanism, is a technique with great potential for microbe manipulation, since it can achieve concentration and separation in a single step. DEP is the movement of particles due to polarization effects in nonuniform electric fields. The majority of the work on dielectrophoretic manipulation of microbes has employed alternating current fields in arrays of microelectrodes, an approach with some disadvantages. An alternative is to employ insulator-based DEP (iDEP), a dielectrophoretic mode where nonuniform fields are produced by employing arrays of insulating structures. This study presents the concentration and fractionation of a mixture of bacteria and yeast cells employing direct current-iDEP in a microchannel containing an array of cylindrical insulating structures. Negative dielectrophoretic trapping of both types of microorganisms was demonstrated, where yeast cells exhibited a stronger response, opening the possibility for dielectrophoretic differentiation. Simultaneous concentration and fractionation of a mixture of both types of cells was carried out analogous to a chromatographic separation, where a dielectropherogram was obtained in less than 2 min by applying an electric field gradient and achieving concentration factors in the order of 50 and 37 times the inlet concentration for Escherichia coli and Saccharomyces cerevisiae cells, respectively. Encouraging results were also obtained employing a sample of water taken from a pond. The findings demonstrated the great potential of iDEP as a rapid and effective technique for intact microorganism concentration and separation.

Prediction of trapping zones in an insulator-based dielectrophoretic device.

A mathematical model is implemented to study the performance of an insulator-based dielectrophoretic device. The geometry of the device was captured in a computational model that solves Laplace equation within an array of cylindrical insulating structures. From the mathematical model it was possible to predict the location and magnitude of the zones of dielectrophoretic trapping of microparticles. Simulation and experimental results of trapping zones are compared for different operating conditions.

Protein manipulation with insulator-based dielectrophoresis and direct current electric fields.

The present study demonstrates the manipulation of protein particles employing insulator-based dielectrophoresis (iDEP) and direct current (d.c.) electric fields. Fluorescently labeled bovine serum albumin (BSA) protein particles were concentrated inside a microchannel that contained an array of glass cylindrical insulating structures. d.c. electric fields were applied and the dielectrophoretic response of the particles was observed as a function of the suspending medium conductivity (25, 50 and 100 microS/cm) and pH (8 and 9). It was shown that the magnitude of the applied electric field (700-1600 V/cm) and suspending medium properties have a strong effect on the dielectrophoretic response of the protein particles. The results presented here are the first report on protein manipulation employing d.c.-iDEP.

Determination of adsorption isotherms of proteins by H-root method: comparison between open micro-channels and conventional packed columns.

This communication compares the accuracy of a micro open parallel plate system (microOPPS) with a conventional packed column for predicting isotherm data by using the H-root method (HRM). HRM is restricted to compounds obeying the Langmuir isotherm model. The performance of the two chromatographic systems was simulated by using comprehensive mathematical models. Operating conditions were varied and their effects on the accuracy of predictions was evaluated. Better accuracy in the isotherm predictions was obtained with the packed column due to its higher efficiency. However, good predictions can be obtained with the microOPPS with the advantage of significantly lower sample consumption.