Biorheology

Microarray gene chip technology is a powerful invention looking for applications. A general principle is proposed here to direct the power of the technology toward physiology, medicine, and pharmacology. Our principle is to match quantitative measures of gene expression with the trend of mathematical parameters that describe biological functions. Mathematical parameterization is the heart. The procedure is illustrated by lung physiology, including the hypoxic hypertension, rheological properties of the tissues, and the remodeling of the pulmonary arterial wall under hypertensive stress. We show first how to reduce the experimental results on these physiological functions into mathematical formulas, and how the parameters of these formulas describe the functional trends precisely. Then under the assumption that the microarray reveals gene activities quantitatively, we match the trends of the gene activity with the trends of the functional parameters. Genes whose trends do match are interpreted as relevant to the functions. Those that do not match are considered irrelevant to the functions. The more functions we consider, the fewer will be the number of genes that are relevant to all functions. Thus we learn about the generality and specificity of the influence of genes on physiology.

During the recruitment of human polymorphonuclear neutrophils (PMN) to sites of inflammation, leukocyte adhesion molecules of the β₂ integrin (CD11/CD18) family mediate firm adhesion of these cells to the endothelial cell monolayer lining the vessel wall. This process is a prerequisite for shape change and spreading of PMN on the endothelium which eventually allows PMN emigration into the extravascular space. In order to elucidate the molecular mechanisms which mediate this sequence of events, intracellular protein tyrosine signaling was studied subsequent to β₂ integrin‐mediated ligand binding. Using western blotting technique, β₂ integrin‐mediated adhesion was found to induce tyrosine phosphorylation of different proteins. The effect was absent in PMN derived from CD18‐deficient mice which lack any β₂ integrin expression on the cell surface demonstrating the specificity of the observed response. Inhibition of β₂ integrin‐mediated tyrosine signaling by herbimycin A almost completely inhibited adhesion, shape change, and subsequent spreading of PMN. Herbimycin A also diminished chemotactic migration of these cells in response to the soluble mediator N‐formyl‐Met–Leu–Phe (fMLP). In contrast, treatment of PMN with cytochalasin D had no substantial effect on β₂ integrin‐mediated signaling or adhesion but inhibited shape change, spreading, and chemotactic migration of PMN. This suggests that the signaling capacity exerted by β₂ integrins upon ligand binding was independent of an intact cytoskeleton. Moreover, the β₂ integrin‐mediated activation of intracellular signal transduction pathways was critical for firm adhesion of PMN, the prerequisite subsequent shape change and spreading, which allows emigration of PMN into the extravascular space.

The migration of vascular endothelial cells (ECs) plays an important role in vascular remodeling. Here we studied the effects of cell morphology on the migration of bovine aortic ECs by culturing cells on micropatterned strips of collagen matrix (60‐, 30‐, and 15‐μm wide). The spreading areas of the cells on 15‐ and 30‐μm wide strips were 30% lower than those on 60‐ μm wide strips and unpatterned collagen. The cells on 15‐μm wide strips completely aligned in the direction of the strip, and had significantly lower shape index than those in all other groups. On strips of all widths, ECs tended to migrate in the direction of strips. ECs on 15‐μm wide strips had highest speed, particularly in the direction of the strip. Vinculin staining showed that the leading edge of ECs on 15‐μm wide strips had focal adhesions that were oriented with their lamellipodial protrusion and the direction of cell migration; this arrangement of the focal adhesions may promote EC migration. The present study provides direct evidence on the role of cell morphology in EC migration, and will help us to understand the mechanisms of EC migration during angiogenesis and wound healing.

Shear stresses play an important role in vascular biology in health and disease. While disturbed flows with low shear stresses in the bends and bifurcations of the arterial tree are atherogenic, laminar flows with high shear stresses in the straight part of the vessel is atheroresistant. Thus, elucidation of the mechanotransduction mechanism in vascular endothelial cells in response to shear stress has become an important research topic among bioengineers and vascular biologists. Here is a summary of studies performed in Dr. Shu Chien's laboratory on shear stress‐induced signal transduction and gene expression during the period from 1992–1999. These studies, together with efforts from other research groups, demonstrate that integrins, which are transmembrane molecules that interact with both extracellular matrices and intracellular cytoskeleton and kinases in the focal adhesions, are important in mechanotransduction. This hypothesis is mainly supported by the similarity between cellular and molecular events elicited by shear stress and those activated during the integrin‐mediated cell attachment to extracellular matrices. Evidence is also provided to show that the dynamic and specific interaction between integrin and extracellular matrices is essential for mechanotransduction.

In this paper we shall describe new mechanical models for the deformation of the actin filament bundles in kidney microvilli and osteocytic cell processes to see whether these cellular extensions, like the stereocilia on hair cells in the inner ear, can function as mechanotransducers when subject to physiological flow. In the case of kidney microvilli we show that the hydrodynamic drag forces at the microvilli tip are <0.01 pN, but there is a 38‐fold force amplification on the actin filaments at the base of the microvilli due to the resisting moment in its terminal web. This leads to forces that are more than sufficient to deform the terminal web complex of the microvillus where ezrin has been shown to couple the actin cytoskeleton to the Na⁺/H⁺ exchanger. In the case of bone cell processes we show that the actin filament bundles have an effective Young's modulus that is 200 times > the measured modulus for the actin gel in the cell body. It is, therefore, unlikely that bone cell processes respond in vivo to fluid shear stress, as proposed in [59]. However, we show that the fluid drag forces on the pericellular matrix which tethers the cell processes to the canalicular wall can produce a 20–100 fold amplification of bone tissue strains in the actin filament bundle of the cell process.

Responses of vascular endothelial cells to mechanical shear stresses resulting from blood flow are involved in regulation of blood flow, in structural adaptation of vessels, and in vascular disease. Interior surfaces of blood vessels are lined with a layer of bound or adsorbed macromolecules, known as the endothelial surface layer (ESL). In vivo investigations have shown that this layer has a width of order 1 μm, that it substantially impedes plasma flow, and that it excludes flowing red blood cells. Here, the effect of the ESL on transmission of shear stress to endothelial cells is examined using a theoretical model. The layer is assumed to consist of a matrix of molecular chains extending from the surface, held in tension by a slight increase in colloid osmotic pressure relative to that in free‐flowing plasma. It is shown that, under physiological conditions, shear stress is transmitted to the endothelial surface almost entirely by the matrix, and fluid shear stresses on endothelial cell membranes are very small. Rapid fluctuations in shear stress are strongly attenuated by the layer. The ESL may therefore play an important role in sensing of shear stress by endothelial cells.

The delivery of cells to specific regions of the vasculature is a critical step in many therapeutic strategies. These include the packaging of DNA or RNA in cell “vehicles” for delivery to tissues, the reconstitution of differentiated cells to an organ using embryonic stem cells, and the enhancement of the immune response using effector lymphocytes. In most cases, these cells must be injected systemically. Unfortunately, ex vivo manipulation or activation can affect cell visco‐elastic properties, making it difficult for the injected cells to traverse capillary beds. Compounding the problem is the fact that common agents used in the laboratory for increasing cell deformability generally have adverse side effects on the therapeutic potential of the cells. Using micropipet aspiration techniques, cytotoxicity assays and in vivo trafficking studies we show that: (1) the rigidity of injected effector cells directly affects resistance to passage through tissue; (2) modulation of cytoskeletal organization can be used to decrease cell rigidity, but can also compromise therapeutic efficacy; and (3) thioglycollate, an agent which does not influence effector lymphocyte cytotoxic activity, reduces cell rigidity and entrapment in the lungs.

Total joint replacement prostheses are required to withstand corrosive environments and sustain millions of loading and articulation cycles during their term of implantation. Wear debris generation has been implicated as one of the primary causes of periprosthetic osteolysis and subsequent implant loosening in total joint replacements. Particulate debris consisting of metals, polyethylene, ceramics, and bone cement have each been shown to provoke a biological response in joint tissues. The major cell types within the interfacial granulomatous fibrous tissues consist of fibroblasts, macrophages, lymphocytes, and foreign‐body giant cells. Osteoblasts are one of the principal cell types in the bone tissue adjacent to prostheses, maintaining physiologic bone remodeling through the balanced coordination of bone formation and resorption in concert with osteoclasts. To date the phenomenon of osteoblast phagocytosis of titanium particles has been suggested, but has not been sufficiently studied or confirmed. This study seeks to clarify the influence of titanium particles on osteoblast adhesion, deformability, proliferation, and gene expression profile. These studies were accomplished by performing biorheological testing, Northern blot analysis and RNase protection assay. The uptake of metallic particles by the osteoblast resulted in a particle–filament complex formation, which induced a series of variations in cell function. Understanding these variations is critical to expanding our knowledge of implant loosening and elucidating the nature of prosthetic joint failure. This study suggests that the impact of titanium particles on osteoblast function and subsequent implant loosening may have been previously underestimated.

Activation of cells in the vascular compartment causes profound alteration of cell rheological properties with impairment of the microcirculation and initiation of inflammatory reactions. Many cardiovascular diseases have been shown to be associated with cell activation and inflammation. While this situation offers the opportunity for new interventions against the deleterious effects of cell activation, there is the need for a better understanding of the mechanisms that lead to cell activation in the first place. We review here several mechanisms for cell activation in the circulation. We show that in shock, a condition associated with severe forms of cell activation, humoral cell activation factors can be detected in plasma. Further analysis indicates that the source of these humoral activators may be due to the action of pancreatic digestive enzymes in the intestine. Ischemia may serve to open the intestinal brush border and permit entry of pancreatic enzymes into the wall of the intestine to initiate self digestion. In this process low molecular weight but potent cell activators are produced which may escape via the intestinal circulation and the lymphatics into the general circulation. Inhibition of pancreatic enzymes in the lumen of the intestine leads to complete attenuation of humoral activator production as well as many of the deleterious sequelae that accompany shock, such as inflammation and multi‐organ failure. We outline a method to carry out biochemical isolation of the cell activators derived from pancreatic enzymes. This analysis shows that there are multiple species of cell activators above and beyond currently known species, many of which have molecular weights below 3000 Da. Identification of the mechanisms that lead to cell activation is an important part to understand the mechanisms that lead to alterations of rheological properties of blood cells in disease and dysfunction of the endothelium and parenchymal cells. Our current evidence suggests that pancreatic digestive enzymes and tissue enzymes may play a central role in humoral activator production.

Blood viscosity is determined by plasma viscosity, hematocrit, erythrocyte deformability and aggregation. Plasma viscosity and hematocrit are directly regulated by the organism. The molecular biology of the principal determinants of plasma viscosity, i.e., fibrinogen, immunoglobulins, albumin, and lipoproteins is outlined in this work. Hematocrit is regulated by erythropoietin, which is primarily induced by tissue hypoxia. Evidence begins to emerge that autoregulatory mechanisms may be involved in blood viscosity. Viscosity modulates gene transcription for albumin and apolipoproteins in cultured hepatocytes and the erythropoietin response to anemia in rats. Further investigations into these self‐regulatory mechanisms in biorheology are, however, needed for a better understanding of blood viscosity regulation in health and disease.

We have recently described patterns of adhesion of different types of leukocytes downstream of a backward facing step. Here the predicted fluid dynamics in channels incorporating backward facing steps are described, and related to the measured velocities of flowing cells, patterns of attachment and characteristics of rolling adhesion for neutrophils perfused over P‐selectin. Deeper (upstream depth 300 μm, downstream depth 600 μm, maximum wall shear stress ∼0.1 Pa) and shallower (upstream depth 260 μm, downstream depth 450 μm, maximum wall shear stress ∼0.3 Pa) channels were compared. Computational fluid dynamics (CFD) predicted the presence of vortices downstream of the steps, distances to reattachment of flow, local wall shear stresses and components of velocity parallel and perpendicular to the wall. Measurements of velocities of perfused neutrophils agreed well with predictions, and suggested that adhesion to P‐selectin should be possible in the regions of recirculating flow, but not downstream in re‐established flow in the high shear channel. When channels were coated with a P‐selectin–Fc chimaera, neutrophils were captured from flow and immobilised. Capture showed local maxima around the reattachment points, but was absent elsewhere in the high shear chamber. In the low shear chamber there was depression of adhesion just beyond the reattachment point because of expansion of flow and depeletion of neutrophils near the wall. Inside the recirculation zones, adhesion decreased approaching the step because of an increasing, vertically upward velocity component. When channels were coated with P‐selectin, neutrophils rolled in all regions, but lifted off the surface as they rolled backwards into low shear regions near the step. Rolling velocity in the recirculation zone was independent of shear stress, possibly because of the effects of vertical lift. We conclude that while local wall shear stress influences adhesive behavior, delivery of cells to the wall and their behavior after capture also depend on components of flow perpendicular to the wall.

Hemorheological studies lead to the axiom that high plasma viscosity is detrimental and that it is beneficial to lower blood viscosity, a precept embodied in the practice of hemodilution, where improved perfusion is attributed to the lowering of blood viscosity. Hemodilution is limited by the transfusion trigger, hemoglobin content of blood of about 7–8 g/dl, which indicates when further volume replacements must restore oxygen carrying capacity with red blood cells (RBC). However, oxygen consumption and delivery are not compromised upon passing this landmark. The reduced blood viscosity does not transmit adequate pressure to the capillaries, causing functional capillary density (FCD) to decrease, jeopardizing organ function through the inadequate extraction of products of metabolism from the tissue by the capillaries. Studies in hemorrhagic shock show that survival is primarily determined by the maintenance of FCD and secondarily by tissue oxygenation. FCD is maintained as hematocrit is reduced beyond the transfusion trigger by increasing plasma viscosity, which transmits systemic pressure to the capillaries and induces vasodilatation through the increased shear stress dependent release of vasodilators. Consequently the transfusion trigger is also a “viscosity trigger” indicating when blood and plasma viscosity are too low. In this condition increasing plasma viscosity is beneficial and extends the transfusion trigger reducing the use of blood transfusions.

Despite many years of research, the physiologic or possible pathologic significance of RBC aggregation remains to be clearly determined. As a new approach to address an old question, we have recently developed a technique to vary the aggregation tendency of RBCs in a predictable and reproducible fashion by the covalent attachment of nonionic polymers to the RBC membrane. A reactive derivative of each polymer of interest is prepared by substitution of the terminal hydroxyl group with a reactive moiety, dichlorotriazine (DT), which covalently bonds the polymer molecule to membrane proteins. Pluronics are block copolymers of particular interest as these copolymers can enhance or inhibit RBC aggregation. Pluronics exhibit a critical micellization temperature (CMT): a phase transition from predominantly single, fully hydrated copolymer chains to micelle‐like structures. The CMT is a function of both copolymer molecular mass and concentration. This micellization property of Pluronics has been utilized to enhance or inhibit RBC aggregation and hence to vary low‐shear blood viscosity. Pluronic‐coated RBCs were prepared using reactive DT derivatives of a range of Pluronics (F68, F88, F98 and F108) and resuspended in autologous plasma at 40% hematocrit. Blood viscosity was measured at a range of shear rates (0.1–94.5 s⁻¹) and at 25 and 37°C using a Contraves LS‐30 couette low shear viscometer. RBC aggregation and whole blood viscosity was modified in a predictable manner depending upon the CMT of the attached Pluronic and the measurement temperature: below the CMT, RBC aggregation was diminished; above the CMT it was enhanced. This technique provides a novel tool to probe some basic research questions. While certainly of value for in vitro mechanistic studies, perhaps the most interesting application may be for in vivo studies: typically, intravital experiments designed to examine the role of RBC aggregation in microvascular flow require perturbation of the suspending plasma to promote or reduce aggregation (e.g., by the addition of dextran). By binding specific Pluronics to the surface, we can produce RBCs that intrinsically have any desired degree of increased or decreased aggregation when suspended in normal plasma, thereby eliminating many potential artifacts for in vivo studies. The copolymer coating technique is simple and reproducible, and we believe it will prove to be a useful tool to help address some of the longstanding questions in the field of hemorheology.

The flow properties of blood are mostly determined using various viscometric approaches, and described in terms of a shear rate or shear stress dependent apparent viscosity. The interpretation of results are rather difficult, especially at low shear rates when particle sedimentation and migration within the viscometer gap are significant. By contrast, analysing the separation process in concentrated RBC suspensions in a centrifugal field also yields information about the viscosity function, including particle–particle interaction and deformation parameters. In this paper, the sedimentation process is approached by means of the theory of kinematic waves and theoretically described by solving the corresponding one‐dimensional quasi‐linear partial differential equation based on viscosity/flow function as a function of volume concentration. The sedimentation kinetics of rigid spherical RBC suspended in saline and normal RBC suspended in Dx‐saline solutions were investigated by means of a separation analyser (LUMiFuge 114). The instrument detects the light transmission over the total length of the cell containing the suspension. During centrifugation the analyser automatically determines the position of the particle free fluid/suspension interface or the sediment by mans of a special algorithm. The data obtained with sedimentation of rigid spherical RBC at different volume concentrations demonstrate that, in the case of suspensions rotated in containers of constant cross section, there is good agreement between the theory of kinematic waves developed by Anestis and Schneider (1983) and the results of the experiments. Such good agreement was obtained even though a restrictive one‐dimensional model was used to obtain the theoretically derived sedimentation time course. In addition, we describe an algorithm enabling the experimental determination of the viscosity and related flux density function to be made for any suspension. Through this approach, we investigated in detail the rheological behavior of suspended rigid spheres at low Reynolds numbers ranging from 10⁻⁶ to 10⁻³. The method here introduced also enabled us to investigate RBC suspensions with respect to the deformability and interactions of the cells by means of the separation analysis. Normal, rigid as well as aggregating RBC exhibited marked differences in the sedimentation kinetics, which were quantified by means of the flux and viscosity functions based on the theory of kinematic waves.

It has long been recognized that understanding the rheological properties of blood is essential to a full understanding of the function of the circulatory system. Given the difficulty of obtaining carefully controlled measurements in vivo, most of our current concepts of the flow behavior of blood in vivo are based on its properties in vitro. Studies of blood rheology in rotational and tube viscometers have defined the basic properties of blood and pointed to certain features that may be especially significant for understanding in vivo function. At the same time, differences between in vivo and in vitro systems combined with the complex rheological properties of blood make it difficult to predict in vivo blood rheology from in vitro studies. We have investigated certain flow properties of blood in vivo, using the venular network of skeletal muscle as our model system. In the presence of red blood cell aggregation, venous velocity profiles become blunted from the parabolic as in Poiseuille flow, as pseudo‐shear rate (= mean fluid velocity/vessel diameter) is decreased from ∼100 s⁻¹ to 5 s⁻¹. At control flow rates, the short distance between venular junctions does not appear to permit significant axial migration and red cell depletion of the peripheral fluid layer before additional red cells and aggregates are infused from a feeding tributary. Formation of a cell‐free plasma layer at the vessel wall and sedimentation in vivo are evident only at very low pseudo‐shear rates (<5 s⁻¹). These findings may explain in large part observations in whole organs of increased venous resistance with reduction of blood flow.