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Regeneration of functioning tissue essentially involves recapitulating relevant aspects of organogenesis, so that the starting composite of cells, matrix, and molecular factors develops into the desired structure and physiology. A crucial aspect of development is local cell-cell communication; that is, molecular regulatory factors are more typically paracrine and autocrine than endocrine in nature. Autocrine loops were originally thought of predominantly as being involved in pathological behavior, but it is becoming increasingly clear that a large portion of normal physiological behavior-and a tremendous portion of development-is strongly regulated by autocrine factors (1). Thus, continuing progress of the field of tissue engineering will require increased understanding of how autocrine loops operate, so that they can be designed or manipulated systematically. We have made an effort in this direction, and some early experimental and modeling results can be found in the literature (2-5). In this chapter, we describe the methods we have used for creating autocrine cell loops and quantitatively assessing their operation.

Exploiting signaling pathways for the purpose of controlling cell function entails identifying and manipulating the information content of intracellular signals. As in the case of the ubiquitously expressed, eukaryotic mitogen-activated protein kinase (MAPK) signaling pathway, this information content partly resides in the signals' dynamical properties. Here, we utilize a mathematical model to examine mechanisms that govern MAPK pathway dynamics, particularly the role of putative negative feedback mechanisms in generating complete signal adaptation, a term referring to the reset of a signal to prestimulation levels. In addition to yielding adaptation of its direct target, feedback mechanisms implemented in our model also indirectly assist in the adaptation of signaling components downstream of the target under certain conditions. In fact, model predictions identify conditions yielding ultra-desensitization of signals in which complete adaptation of target and downstream signals culminates even while stimulus recognition (i.e., receptor-ligand binding) continues to increase. Moreover, the rate at which signal decays can follow first-order kinetics with respect to signal intensity, so that signal adaptation is achieved in the same amount of time regardless of signal intensity or ligand dose. All of these features are consistent with experimental findings recently obtained for the Chinese hamster ovary (CHO) cell lines (Asthagiri et al., J. Biol. Chem. 1999, 274, 27119-27127). Our model further predicts that although downstream effects are independent of whether an enzyme or adaptor protein is targeted by negative feedback, adaptor-targeted feedback can "back-propagate" effects upstream of the target, specifically resulting in increased steady-state upstream signal. Consequently, where these upstream components serve as nodes within a signaling network, feedback can transfer signaling through these nodes into alternate pathways, thereby promoting the sort of signaling cross-talk that is becoming more widely appreciated.

Synthetic gene delivery vehicles have made significant progress in the past decade in demonstrating strong potential for targeted delivery to specific cells, low toxicity and immunogenicity and large carrying capacity. However, significant advances must still be made to increase the efficiency of both polymer and lipid vehicles. Furthermore, techniques to generate more effective targeting moieties for a variety of cell types, as well as means to consistently assemble vectors containing these targeting ligands, are areas for further improvement. This review focuses on significant recent advances in generating a number of novel targeted vectors, and discusses progress in the development of new genetic and chemical systems to enhance the targeting, assembly and biocompatibility of synthetic vectors.

Hollow fiber affinity membranes have potential for use in cell separations because they offer many advantages over currently available techniques. An understanding of the parameters controlling cell attachment and detachment from the surface is vital to the success of the separation. Cell attachment was probed with transmission electron microscopy (TEM), which revealed that gravity settling must be used to bring the cells to the surface of the membrane, because forward pressurization caused cells to infiltrate the pores of the membranes. Fluorescence microscopy studies showed that viable target cells could be recovered from the surface through the use of either back pressurization or liquid drainage and that 98% of the cells could be recovered from the surface through the sequential use of both. This ability to reproducibly detach target cells from the surface suggests that cell recovery will not be a limiting factor for cell separations with hollow fiber membranes.

One way to deliver transgenes to cells in a selective manner is to target the delivery vehicles, or vectors, to specific cell-surface receptors as a first step toward ultimate transport of the gene to the nucleus for expression. While selective delivery, although often to undesired cell types, occurs naturally for some viral vectors and can be achieved for nonviral vehicles, current understanding and control of the delivery mechanism is inadequate for many therapeutic applications. The complicated nature of receptor-mediated transgene uptake and transport requires improved analysis to more effectively evaluate delivery vehicles. As receptor-mediated pathways for gene delivery typically involve vector binding, internalization, subcellular trafficking, vesicular escape, nuclear translocation, and unpackaging for transcription, each of these processes offer mechanisms that can be exploited to enhance targeted gene delivery via properly designed vehicles. For the purpose of this review, current targeted gene delivery vehicles are divided into three approaches: viral, synthetic, and hybrid vectors. Each approach possesses advantages as well as disadvantages at the present time for in vitro and in vivo application, and provides particular challenges to overcome in order to gain significantly improved targeted delivery properties. Quantitative experiments and mathematical modeling of the gene delivery pathway will serve to provide insight into molecular mechanisms and rate-limiting steps for effective gene expression. Information on molecular mechanisms obtained by such methodologies can then be applied to specific vectors, whether viral, synthetic, or hybrid, allowing for the creation of targeted, effective, and safe gene therapeutics.

Combining engineering analyses and mathematical modeling with intervention and detection methodologies at the molecular level will allow manipulation of intracellular signal transduction pathways, and therefore rational control of functional processes central to medicine and biotechnology. We have formulated a simple mathematical model of a key signaling pathway required for regulated migration of fibroblasts and other cell types: activation of the intracellular enzyme phospholipase C (PLC) mediated by epidermal growth factor receptor (EGFR) and a multitude of other transmembrane receptors. One of the interesting features of this pathway is that the substrate of PLC, the lipid phosphatidylinositol (4,5)-bisphosphate (PIP(2)), is turned over quite rapidly and must be constantly resupplied to the plasma membrane by a known transfer mechanism. The model, which accounts for regulation of PIP(2) concentration, is sufficiently detailed to explain unique quantitative features of recent experimental data. We find that competitive pathways that deplete PIP(2) from the membrane, as well as receptor-mediated enhancement of PIP(2) supply, must be significant for agreement between model and experiment. Importantly, the mechanistic nature of the model also allowed us to predict the efficacy of various molecular intervention strategies, including overexpression of wild-type and variant proteins in the pathway as well as treatment with specific drug inhibitors. For many parameter conditions the intuitive strategy of targeting the enzyme itself is actually predicted to be relatively inefficient, with a novel and potentially useful alternative being disruption of the reactant supply mechanism.

A major limitation to the widespread use of hematopoietic stem cells (HSC) is the relatively crude level of our knowledge of how to maintain these cells in vitro without loss of the long-term multilineage growth and differentiation properties required for their clinical utility. An experimental and theoretical framework for predicting and controlling the outcome of HSC stimulation by exogenous cytokines would thus be useful. An emerging theme from recent HSC expansion studies is that a net gain in HSC numbers requires the maintenance of critical signaling ligand(s) above a threshold level. These ligand-receptor complex thresholds can be maintained, for example, by high concentrations of soluble cytokines or by extracellular matrix- or cell-bound cytokine presentation. According to such a model, when the relevant ligand-receptor interaction falls below a critical level, the probability of a differentiation response is increased; otherwise, self-renewal is favored. Thus, in addition to the identity of a particular receptor-ligand interaction being important to the regulation of stem cell responses, the quantitative nature of this interaction, as well as the dynamics of receptor expression, internalization, and signaling, may have a significant influence on stem cell fate decisions. This review uses examples from hematopoiesis and other tissue systems to examine existing evidence for a role of receptor activation thresholds in regulating hematopoietic stem cell self-renewal versus differentiation events. (Blood. 2000;96:1215-1222)

A major limitation of the widespread use of stem cells in a variety of biotechnological applications is the relatively low level of knowledge about how to maintain these cells in vitro without losing the long-term multilineage growth properties required for their clinical utility. An experimental and theoretical framework for predicting and controlling the outcome of stem cell stimulation by exogenous cytokines would thus be useful. An emerging theme from recent hematopoietic stem cell (HSC)-expansion studies is that a net gain in HSC numbers requires the maintenance of critical signaling ligand(s) above a threshold level. These ligand-receptor complex thresholds can be maintained, for example, by high concentrations of soluble cytokines or by cytokine presentation on cell surfaces. According to such a model, when the relevant ligand-receptor interaction falls below this threshold level, the probability of a differentiation response is increased; otherwise, self-renewal is favored. Taking advantage of the ability of the cytokine leukemia inhibitory factor (LIF) to maintain embryonic stem (ES) cell pluripotentiality at high concentrations, we are testing this model by investigating critical parameters in the control of ES cell responses. We have developed quantitative assays of ES cell differentiation by measuring cell-surface alkaline phosphatase activity, cell-surface stage specific embryonic antigen (SSEA)-1 expression, and the ability of ES cells to form embryoid bodies. Examination of ES cell responses over a range of LIF concentrations shows that LIF supplementation has little effect on ES cell-growth rate but significantly alters the probability of a cell undergoing a self-renewal vs. a differentiation division. In vitro culture parameters such as inoculum cell density, medium exchange, as well as cell-intrinsic processes such as autocrine secretion are shown to affect this decision. In addition to yielding new information on stem cell regulation by exogenous factors, these studies provide important clues about culture of these cells and should stimulate further investigations into the mechanistic basis of stem cell differentiation control.

Ligand-conjugated polymer (polyplex) gene delivery vectors have strong potential as targeted, in vivo gene transfer vehicles; however, they are currently limited by low delivery efficiency. A number of barriers to polyplex-mediated delivery have been previously identified, including receptor binding, internalization, endosomal escape, and nuclear localization. However, based on understanding of viral gene delivery systems, yet another potential barrier may exist; a limited ability to unpackage the plasmid DNA cargo following localization to the nucleus. We have developed a model system that employs a cationic polymer linked to epidermal growth factor (EGF) as a ligand to target delivery of plasmid DNA encoding the green fluorescent protein to mouse fibroblasts bearing the EGF receptor. Using fluorescence microscopy to simultaneously trace both the plasmid and polymer during gene delivery in combination with an in vitro transcription assay, we provide evidence that plasmid unpackaging can indeed be a limiting step for gene expression for sufficiently large polymer constructs. Short-term expression is significantly enhanced by using short polycations that dissociate from DNA more rapidly both in vitro and in vivo. Finally, we describe a thermodynamic model that supports these data by showing that shorter polycations can have a higher probability of dissociating from DNA. This work demonstrates that vector unpackaging should be added to the list of barriers to receptor-mediated polyplex gene delivery, thus providing an additional design principle for targeted synthetic delivery vehicles.

For effective migration, cells must establish an asymmetry in cell/substratum biophysical interactions permitting cellular protrusive and contractile motive forces to produce net cell body translocation; often this is superficially manifested as a polarized cell shape. This change is most easily noted for epithelial cells, which typically undergo a mesenchymal transition prior to rapid motility, and for hematopoietic cells, which must transition from non-adherent to adherent states. These two situations entail dramatic changes that also involve cell-cell contact and differentiation-related changes, and thus introduce confounding events and signals in defining control elements. Hence, a simpler biochemical and biophysical model system may be useful for gaining fundamental insights into the underlying mechanisms. Fortunately, even relatively "uniform" fibroblasts also undergo an initial shape change to commence locomotion. Investigators have recently begun to probe underlying signals that contribute to the reorganization of the actin cytoskeleton. We describe here a model for fibroblast shape changes involved in epidermal growth factor (EGF) stimulation of motility, focusing on signals through EGF receptor (EGFR) -mediated pathways influencing cytoskeletal organization and cell/substratum adhesion. We present new data addressing specifically phospholipase C-gamma (PLCgamma) pathway activation of actin-modifying proteins, including gelsolin, that contributes to these changes and promotes cell migration by increasing the fraction of cells in a motility-permissive morphology and the time spent in such a state.

Transforming growth factor alpha (TGF alpha) has been reported to be a more potent agonist when compared to epidermal growth factor (EGF) in several systems while acting via their common receptor, the epidermal growth factor receptor (EGFR). It has been postulated that this increased potency is mediated by the increased recycling of EGFR upon activation by TGF alpha as against receptor activation by EGF. The authors test this hypothesis by simultaneously measuring mitogenesis and the dynamics of surface receptor number in response to these ligands in NR6 mouse fibroblasts expressing the EGFR. The data demonstrates that increased receptor recycling due to endosomal dissociation of TGF alpha can indeed realise an increased mitogenic potency relative to EGF under appropriate cellular and experimental conditions (i.e. situations in which the increase in the number of occupied receptors due to receptor sparing by TGF alpha represents additional mitogenic signalling capacity). However, this difference in receptor trafficking does not uniquely determine the relative potencies of these ligands since TGF alpha is a less potent mitogen compared to EGF when experimental conditions are dominated by the effects of ligand trafficking on growth factor availability. Thus, the relative potencies of these growth factors are determined in a given context by the relative importance of ligand and receptor trafficking effects which determine the availability of these signalling components. These results are consistent with a suggested model of hormone responsiveness which favours dissociative ligands (such as TGF alpha) in receptor-limited situations and non-dissociative ligands (such as EGF) in the case of ligand limitation.

We have developed an experimental system for testing mathematical model predictions concerning escape of autocrine ligands into the extracellular bulk medium. This system employs anti-receptor blocking antibodies against the epidermal growth factor receptor (EGFR)/transforming growth factor alpha (TGFalpha) receptor/ligand pair. TGFalpha was expressed under the control of a tetracycline-repressed promoter, together with a constitutively expressed human EGFR in B82 mouse fibroblast cells. This expression system allowed us to vary TGFalpha synthesis rates over a roughly 300-fold range by adjusting tetracycline concentration. TGFalpha accumulation in the extracellular bulk medium was then measured as a function of cell density, TGFalpha synthesis rate, and anti-EGFR blocking antibody concentration. Consistent with model predictions, amounts of ligand in the medium on a per cell basis were found to diminish as cell density was increased but with reduced dependence on cell density at higher ligand synthesis rates. Similarly consistent with model predictions, higher ligand synthesis rates also decreased the effect of anti-receptor blocking antibodies. Our investigation has established that we can successfully analyze and understand autocrine ligand secretion behavior from the basis of our theoretical model.

An overriding objective in cell biology is to be able to relate properties of particular molecular components to cell behavioral functions and even physiology. In the "traditional" mode of molecular cell biology, this objective has been tackled on a molecule-by-molecule basis, and in the "future" mode sometimes termed "functional genomics," it might be attacked in a high-throughput, parallel manner. Regardless of the manner of approach, the relationship between molecular-level properties and cell-level function is exceedingly difficult to elucidate because of the large number of relevant components involved, their high degree of interconnectedness, and the inescapable fact that they operate as physico-chemical entities-according to the laws of kinetics and mechanics-in space and time within the cell. Cell migration is a prominent representative example of such a cell behavioral function that requires increased understanding for both scientific and technological advance. This article presents a framework, derived from an engineering perspective regarding complex systems, intended to aid in developing improved understanding of how properties of molecular components influence the function of cell migration. That is, cell population migration behavior can be deconstructed as follows: first in terms of a mathematical model comprising cell population parameters (random motility, chemotaxis/haptotaxis, and chemokinesis/haptokinesis coefficients), which in turn depend on characteristics of individual cell paths that can be analyzed in terms of a mathematical model comprising individual cell parameters (translocation speed, directional persistence time, chemotactic/haptotactic index), which in turn depend on cell-level physical processes underlying motility (membrane extension and retraction, cell/substratum adhesion, cell contractile force, front-vs.-rear asymmetry), which in turn depend on molecular-level properties of the plethora of components involved in governance and regulation of these processes. Hence, the influence of any molecular component on cell population migration can be understood by reconstructing these relationships from the molecular level to the physical process level to the individual cell path level to the cell population distribution level. This approach requires combining experimental, theoretical, and computational methodologies from molecular biology, biochemistry, biophysics, and bioengineering.

Peptide growth factors and other receptor-binding cytokine ligands are of interest in contemporary molecular health care approaches in applications such as wound healing, tissue regeneration, and gene therapy. Development of effective technologies based on operation of these regulatory molecules requires an ability to deliver the ligands to target cells in a reliable and well-characterizable manner. Quantitative information concerning the fate of peptide ligands within tissues is necessary for adequate interpretation of experimental observations at the tissue level and for truly rational engineering design of ligand-based therapies. To address this need, we are undertaking efforts to elucidate effects of key molecular and cellular parameters on temporal and spatial distribution of cytokines in cell population and cell/matrix systems. In this article we summarize some of our recent findings on dynamics of growth factor depletion by cellular endocytic trafficking, growth factor transport through cellular matrices, and growth factor production and release by autocrine cell systems. (c) 1996 John WileySons, Inc.

Endocytosed molecules are sorted in endosomes to different cellular destinations (e.g., to lysosomes or to the plasma membrane). Diverse endosomal sorting results have been reported for different ligands and receptors in a variety of cell types, but the general principles governing these sorting outcomes are not well understood. For example, we observed a wide range of sorting outcomes with the epidermal growth factor (EGF)/receptor system in fibroblasts using several members of the EGF family and site-directed ligand and receptor mutants. In this article we describe a mechanistic mathematical model of endosomal sorting based on the hypothesis that receptors may be selectively retained by the endosomal sorting apparatus and that this process may be modulated by receptor occupancy. Our results show that this single mechanism can account for the wide variety of observed sorting outcomes. By providing a conceptual framework for understanding endosomal sorting, this model not only helps interpret our experimental results for the EGF/receptor system, but also provides some insight into the principles governing sorting. For example, the model predicts that the influence of selective endosomal retention of receptor/ligand complexes is seen in deviations of ligand sorting outcomes from pure fluid phase sorting behavior. Furthermore, the model suggests that selective endosomal retention of complexes within endosomes gives rise to three sorting regimes characterized by distinguishable qualitative trends in the dependence of ligand sorting fractions on intracellular ligand concentrations.

Epidermal growth factor (EGF) and transforming growth factor alpha (TGF alpha) elicit quantitatively different cell proliferation responses even though they act via a common receptor, the epidermal growth factor receptor (EGFR). We hypothesized that differential cellular trafficking of available ligand is responsible for the different mitogenic responses elicited by EGF and TGF alpha. Mitogenesis and ligand depletion were determined simultaneously in NR6 mouse fibroblasts expressing either wild-type (WT) or internalization-deficient cytoplasmic domain-truncated (c'973) EGFR. Thus we could determine the effects of both ligand-induced and low level constitutive ligand/receptor processing. For a given initial amount of growth factor, TGF alpha is a weaker stimulus than EGF in cells expressing either form of the EGFR. This difference in the mitogenic potencies correlates with increased depletion of TGF alpha observed during the growth assays. When this difference in ligand depletion is accounted for, or minimized, EGF and TGF alpha elicit quantitatively similar growth responses. Therefore, the relative mitogenic potencies of EGF and TGF alpha depend on ligand availability, as determined by the cellular trafficking of these ligands in conjunction with environmental circumstances. Interestingly, our data demonstrate that TGF alpha can be a less potent mitogenic stimulus than EGF under conditions where ligand availability is limited. Further, in our assays, differences in ligand processing are sufficient to explain the different mitogenic potencies of these growth factors in either of the receptor trafficking scenarios. Our results suggest a model of regulation of hormone responsiveness which favors dissociative ligands (such as TGF alpha) in receptor-limited situations and non-dissociative ligands (such as EGF) in the face of high receptor levels.

We describe experiments comparing the proliferation responses to epidermal growth factor (EGF) by NR6 fibroblasts expressing genetically engineered epidermal growth factor receptors (EGFRs). These cells present either wild-type (WT) EGFR or a cytoplasmic domain-truncated (c'973) EGFR that exhibits a decreased ligand-induced internalization rate constant. In two distinct in vitro proliferation assays, with or without medium replenishment, we measured the specific cell proliferation rate constants and EGF depletion kinetics for both WT and c'973 cells. When EGF depletion is minimized by replenishment, the EGF concentration dependencies of the two cell types are similar, whereas when EGF depletion is not prevented, maximal proliferation of WT cells requires an initial EGF concentration that is approximately 10x that required by c'973 cells. However, when EGF depletion is accounted for, the dependencies of growth rate for the two cell types on the current EGF concentration in both assays are essentially identical. Our results demonstrate that diminished depletion of EGF from the extracellular medium is a major reason for increased mitogenic sensitivity to EGF by cells possessing internalization-deficient receptors.

Intracellular trafficking of the epidermal growth factor receptor (EGF-R) is regulated by receptor occupancy. To investigate this, we developed an assay to study endosomal sorting under steady-state conditions. Using a cell line transfected with EGF-R variants, we found that the fraction of internalized EGF.EGF-R complexes sorted to lysosomes was a function of the number of intracellular complexes and required sequences in the cytoplasmic domain of the receptor. As the number of intracellular occupied wild-type receptors increased from 3 x 10(2) to 2 x 10(5)/cell, the fraction of internalized EGF that was degraded dropped from 70 to 20%. Transforming growth factor-alpha, which dissociates from the EGF-R at endosomal pH, was degraded to a uniform extent of approximately 50% at all intracellular ligand concentrations. EGF internalized by receptors lacking a cytoplasmic domain (c'647) was degraded to an extent of only 5-10% independent of the number of intracellular complexes. Mutant receptors truncated either at residues 1022 or 973 displayed sorting patterns intermediate between wild-type and c'647 receptors. Despite large differences in their internalization rates, the fractional sorting patterns of c'1022 and c'973 receptors were indistinguishable. Receptor tyrosine kinase activity appeared to have a small effect on sorting pattern, but only in the context of full-length receptors. Our results indicate that the default pathway of internalized receptors is rapidly recycling and that lysosomal targeting of occupied EGF-R is due to endosomal retention that is both specific and saturable. In addition, internalization and endosomal retention of EGF-R appear to be mediated by distinct structural elements.

Little is known about the regulation of EGF receptor (EGF-R) trafficking following endocytosis. We investigated this by using a series of EGF-R with altered cytoplasmic tails and comparing their ability to undergo recycling and lysosomal targeting in both the occupied and empty state. We found that 2-3% of empty EGF-R are internalized each minute, but rapidly recycle (t1/2 approximately 5 min). This constitutive internalization and recycling of empty receptors was independent of cytoplasmic receptor sequences. Occupied EGF-R, in contrast, displayed a much slower rate of recycling (t1/2 between 10-23 min) due to retention within recycling endosomes. Endosomal retention of different EGF-R correlated with lysosomal targeting of EGF. Intrinsic receptor tyrosine kinase activity had no discernible effect on postendocytic trafficking of EGF. Although sequences within the cytoplasmic tail of the EGF-R appear to be required for occupancy-dependent endosomal retention, they are distinct from those required for ligand-induced endocytosis. Our studies indicate that intracellular trafficking of the EGF-R is regulated by endosomal components that preferentially recognize occupied receptors. Down-regulation of the EGF-R thus involves two distinct regulatory processes: one at the level of internalization and one at the level of recycling.

Occupancy-induced down-regulation of cell surface epidermal growth factor (EGF) receptors attenuates signal transduction. To define mechanisms through which down-regulation of this class of growth factor receptors occurs, we have investigated the relative roles of ligand-induced internalization and recycling in this process. Occupied, kinase-active EGF receptors were internalized through a high affinity, saturable endocytic system at rates up to 10-fold faster than empty receptors. In contrast, full length EGF receptors lacking tyrosine kinase activity underwent internalization at a rate independent of occupancy. This "kinase-independent" internalization rate appeared to reflect constitutive receptor internalization since it was similar to the internalization rate of both receptors lacking a cytoplasmic domain and of antibodies bound to empty receptors. EGF internalized by either kinase-active or kinase-inactive receptors was efficiently recycled and was found within endosomes containing recycling transferrin receptors. However, targeting of internalized receptors to lysosomes did not require receptor kinase activity. All receptors that displayed ligand-induced internalization also underwent down-regulation, indicating that the proximal cause of down-regulation is occupancy-induced endocytosis. Tyrosine kinase activity greatly enhances this process by stabilizing receptor association with the endocytic apparatus.

Migration of microvessel endothelial cells (MEC) in response to angiogenic stimuli is a key aspect of angiogenesis, whether in physiologic or pathologic situations. In this work, we provide a rigorous quantitative assessment of the chemokinetic and chemotactic responses of human MEC to acidic fibroblast growth factor (aFGF). A uniform concentration of 1 micrograms/ml of heparin was included in most experiments to exploit heparin's potentiating effect on aFGF activity. The migration is measured in an under-agarose assay with a linear geometry, and evaluated in terms of the random motility and chemotaxis coefficients, mu and chi, which are defined in a mathematical model. The change in value of mu with changes in aFGF concentration provides a quantitative description of the stimulated random motility response, a process known as chemokinesis. This allows the true directional response in gradients to be quantified by the chemotaxis coefficient, chi, and its variation with attractant concentration. The effect of aFGF on MEC random motility is relatively small, with the random motility coefficient ranging from 4.6 +/- 0.4 x 10(-9) to 9.9 +/- 0.3 x 10(-9) cm2/second (mean +/- SE) over four orders of magnitude of aFGF concentration (10(-11) to 10(-8) M). On the other hand, the magnitude of the chemotaxis coefficient at optimal concentrations is quite large (2600 +/- 750 cm2/second-M around 10(-10) M aFGF), demonstrating a significant degree of MEC directional sensitivity to aFGF gradients. The chemotaxis coefficient shows a biphasic dependence on aFGF concentration, suggestive of a receptor-mediated response in which apparent differences in receptor occupancy govern directional bias. These results provide support for the hypothesis that MEC chemotaxis accounts for the directed microvessel growth observed in angiogenesis.

Angiogenesis is a multistep process intimately involved in embryonic development and subsequent cardiovascular homeostasis and pathology. A major event in the process of angiogenesis is endothelial cell migration. Common in vitro assays (filter, under-agarose, phagokinetic track) used for the evaluation of migration are interpreted by measurements such as leading front distance, total cells migrated, and total area of migration. However, these quantities depend very heavily upon the physical aspects of the assay such as geometry, chemoattractant concentration and diffusivity, and observation time. Thus, while these common cell motility measurements are convenient, they do not represent solely the intrinsic cell response to an attractant. Alternatively, cell motility responses can be described by parameters which do not depend on the physical aspects of the assay system. Such parameters, termed phenomenologic parameters, have been defined for cell migration in a mathematical model derived by others. This model defines two parameters, the random motility coefficient, mu, and the chemotaxis coefficient, chi, which describe the migration responses to uniform concentrations and to gradients of stimulant, respectively. We have used this approach to evaluate the random motility response of human microvessel endothelial cells isolated from omental fat. Human microvessel endothelial cell random motility was measured in uniform concentrations of heparin (10(-3) to 10(3) micrograms/ml) using an under-agarose assay with linear geometry. The value of mu was found to remain constant at 8.2 x 10(-9) cm2/second for all concentrations tested and without heparin. These data indicate that heparin at these concentrations does not significantly stimulate random migration of human microvessel endothelial cell. These results suggest that the potentiating effect of heparin on angiogenesis may not be mediated through a direct affect on endothelial cell migration. Because the random motility coefficient and chemotaxis coefficient are representative of intrinsic cell motility behavior, their use should provide more specific information on endothelial cell migration than other commonly used measurements.

A number of disorders of leukocyte motility and chemotaxis have been reported clinically. In this paper we present a rational approach for testing cell populations for a defect in leukocyte migration and for defining the cellular basis of any abnormality observed. The principles and difficulties of individual and population-type assays are discussed.