Magnetic cell separation has become a popular technique to enrich or deplete cells of interest from a heterogeneous cell population. One important aspect of magnetic cell separation is the degree to which a cell binds paramagnetic material. It is this paramagnetic material that imparts a positive magnetophoretic mobility to the target cell, thus allowing effective cell separation. A mathematical relationship has been developed to correlate magnetic labeling to the magnetophoretic mobility of an immunomagnetically labeled cell. Four parameters have been identified that significantly affect magnetophoretic mobility of an immunomagnetically labeled cell: the antibody binding capacity (ABC) of a cell population, the secondary antibody amplification (ψ), the particle-magnetic field interaction parameter (ΔχVm), and the cell diameter (Dc). The ranges of these parameters are calculated and presented along with how the parameters affect the minimum and maximum range of magnetophoretic mobility. A detailed understanding of these parameters allows predictions of cellular magnetophoretic mobilities and provides control of cell mobility through selection of antibodies and magnetic particle conjugates.

Embryonic stem (ES) cells serve as an excellent in vitro system for studying differentiation events and for developing methods of generating various specialized cells for future regenerative therapeutic applications. Two obstacles associated with using embryonic stem cells include (a) isolating homogeneous populations of differentiated cells and (b) obtaining terminally differentiated cell populations that are capable of proliferating further. Here, the authors describe methods in which they have overcome these two obstacles by generating highly purified populations (>96%) of actively proliferating endothelial cells from mouse ES cells. Briefly, 60,000 ES cells progress through three different stages of cell induction/expansion and two cell isolation procedures, generating over 300 million endothelial cells. These ES-derived endothelial cells display characteristics similar to vascular endothelial cells in that they express several common endothelial markers, they form two-dimensional (2D) tubelike structures as well as complex microvessels in three-dimensional (3D) collagen type I gels, and they retain the ability to reorganize their cytoskeleton in response to mechanical forces. Our findings indicate that it is possible to obtain proliferating populations of homogeneous endothelial cells from mouse ES cells without genetically manipulating the ES cells or coculturing with feeder cells.

A continuous flow, magnetic separation method has been proposed to isolate large numbers of cells for clinical and biotechnological applications. The separation system, based on the quadrupole magnet flow sorter, has been tested on magnetically labeled, human blood progenitor cells using monoclonal antibody against the cluster of differentiation 34 (CD34) molecule and a magnetic colloid. A small volume of the cell suspension was injected into the sorter at variable volumetric flow rates, and the resulting cell elution profiles were analyzed for cell recovery in the magnetically enriched and depleted cell fractions. Independently, the cell motion in the magnetic field has been analyzed using a novel technique of cell tracking velocimetry, which allowed the determination of cell magnetophoretic mobility. A mathematical model of the cell motion inside the quadrupole flow sorter was used to calculate the recovery of the sorted fractions based on the cell magnetophoretic mobility distribution. A comparison of experimental and theoretical data allowed the verification of assumptions underlying the magnetic cell separation process, and provided guidelines for engineering design of the magnetic flow sorter.

In the Quadrupole Magnetic Sorter (QMS) magnetic particles enter a vertical flow annulus and are separated from non-magnetic particles by radial deflection into an outer annulus where the purified magnetic particles are collected via a flow splitter. The purity of magnetically isolated particles in QMS is affected by the migration of nonmagnetic particles across transport lamina in the annular flow channel. Computational Fluid Dynamics (CFD) simulations were used to predict the flow patterns, pressure drop and nonspecific crossover in QMS flow channel for the isolation of pancreatic islets of Langerhans. Simulation results were compared with the experimental results to validate the CFD model. Results of the simulations were used to show that one design gives up to 10% less nonspecific crossover than another and this model can be used to optimise the flow channel design to achieve maximum purity of magnetic particles.

A methodology and a mathematical relationship have been developed that allow quantitation of the expression levels of cellular surface antigens, in terms of antibody binding capacities (ABC). This methodology uses immunomagnetically labeled cells and calibration microbeads combined with cell tracking velocimetry (CTV) technology to measure magnetophoretic mobilities corresponding to cellular ABC. The mobility measurements were accomplished by microscopically recording and calculating the velocity of immunomagnetically labeled QSC microbeads and cells in a nearly constant magnetic energy gradient.

A methodology and a mathematical relationship have been developed that allow quantitation of the expression levels of cellular surface antigens, in terms of antibody binding capacities (ABC). This methodology uses immunomagnetically labeled cells and calibration microbeads combined with cell tracking velocimetry (CTV) technology to measure magnetophoretic mobilities corresponding to cellular ABC. The mobility measurements were accomplished by microscopically recording and calculating the velocity of immunomagnetically labeled QSC microbeads and cells in a nearly constant magnetic energy gradient.

METHODS: A methodology and a mathematical theory have been developed, which allow quantitation of the expression levels of cellular surface antigens using immunomagnetic labels and cell tracking velocimetry (CTV) technology. RESULTS: Quantum Simply Cellular (QSC) microbeads were immunomagnetically labeled with anti-CD2 fluorescein isothiocyanate (FITC) antibodies and anti-FITC MACS paramagnetic nanoparticles. Magnetophoretic mobility has been defined as the magnetically induced velocity of the labeled cell or microbead divided by the magnetophoretic driving force, proportional to the magnetic energy density gradient. DISCUSSION: Using computer imaging and processing technology, the mobility measurements were accomplished by microscopically recording and calculating the velocity of immunomagnetically labeled QSC microbeads in a nearly constant magnetic energy gradient. A calibration curve correlating the measured magnetophoretic mobility of the immunomagnetically labeled microbeads to their antibody binding capacities (ABC) has been obtained. CONCLUSION: The results, in agreement with theory, indicate a linear relationship between magnetophoretic mobility and ABC for microbeads with less than 30,000 ABC. The mathematical relationships and QSC standardization curve obtained allow determination of the number of surface antigens on similarly immunomagnetically labeled cells. Copyright 2000 Wiley-Liss, Inc.

Advantages of the continuous magnetic flow sorting for biomedical applications over current, batch-wise magnetic separations include high throughput and a potential for scale-up operations. A continuous magnetic sorting process has been developed based on the quadrupole magnetic field centered on an annular flow channel. The performance of the sorter has been described using the conceptual framework of split-flow thin (SPLITT) fractionation, a derivative of field-flow fractionation (FFF). To eliminate the variability inherent in working with a heterogenous cell population, we developed a set of monodisperse magnetic microspheres of a characteristic magnetization, and a magnetophoretic mobility, similar to those of the cells labeled with a magnetic colloid. The theory of the magnetic sorting process has been tested by injecting a suspension of the magnetic beads into the carrier fluid flowing through the sorter and by comparing the theoretical and experimental recovery versus total flow-rate profiles. The position of the recovery maxima along the total flow-rate axis was a function of the average bead magnetophoretic mobility and the magnetic field intensity. The theory has correctly predicted the position of the peak maxima on the total flow-rate axis and the dependence on the bead mobility and the field intensity, but has not correctly predicted the peak heights. The differences between the calculated and the measured peak heights were a function of the total flow-rate through the system, indicating a fluid-mechanical origin of the deviations from the theory (such as expected of the lift force effects in the system). The well-controlled elution studies using the monodisperse magnetic beads, and the SPLITT theory, provided us with a firm basis for the future sorter evaluation using cell mixtures.

Continuous magnetic separation, in which there is no accumulation of mass in the system, is an inherently dynamic process, requiring advanced knowledge of the separable species for optimal instrument operation. By determining cell magnetization in a well-defined field, we may predict the cell trajectory behavior in the well-characterized field environments of our continuous separators. Magnetization is determined by tracking the migration of particles with a technique known as cell tracking velocimetry (CTV). The validation of CTV requires calibration against an external standard. Furthermore, such a standard, devoid of the variations and instabilities of biological systems, is needed to reference the method against day-to-day shifts or trends. To this end, a method of synthesizing monodisperse, magnetite-doped polymeric microspheres has been developed. Five sets of microspheres differing in their content of magnetite, and each of approximately 2.7 microm diameter, are investigated. An average gradient of 0.18 T/mm induces magnetic microsphere velocities ranging from 0.45 to 420 microns/s in the CTV device. The velocities enable calculation of the microsphere magnetization. Magnetometer measurements permit the determination of magnetization at a flux density comparable to that of the CTV magnet’s analysis region, 1.57 T. A comparison of the results of the CTV and magnetometer measurements shows good agreement.

An experimental technique is discussed in which the size distribution of a population of cells is determined by calculating each cell’s settling velocity. The settling velocity is determined from microscopically obtained images which were recorded on SVHS tape. These images are then computer imaged and processed, and the cell’s location and velocity are determined using a computer algorithm referred to as cell tracking velocimetry (CTV). Experimental data is presented comparing the distribution of human lymphocytes and a human breast cancer cell line, MCF-7, determined using a Coulter counter and the CTV approach. © 1999 John Wiley & Sons, Inc. Biotechnol Bioeng 64: 509–518, 1999.