Physiological Shear Flow Research Articles

Conformation of von Willebrand factor in shear flow revealed with stroboscopic single-molecule imaging

Abstractvon Willebrand factor (VWF) is a multimeric blood protein that acts as a mechanical probe, responding to changes in flow to initiate platelet plug formation. Previously, our laboratory tests had shown that using single-molecule imaging that shear stress can extend surface-tethered VWF, but paradoxically, we found that the required shear stress was higher than reported for free-in-flow VWF, an observation inconsistent with basic physical principles. To resolve this inconsistency critical to VWF’s molecular mechanism, we measured free-VWF extension in shear flow using pulsed laser stroboscopic imaging of single molecules. Here, laser pulses of different durations are used to capture multiple images of the same molecule within each frame, enabling accurate length measurements in the presence of motion blur. At high shear stresses, we observed a mean shift in VWF extension of <200 nm, much shorter than the multiple-micron extensions previously reported with no evidence for the predicted sharp globule-stretch conformational transition. Modeling VWF with a Brownian dynamics simulation, our results were consistent with VWF behaving as an uncollapsed polymer rather than the theorized compact ball. The muted response of free VWF to high shear rates implies that the tension experienced by free VWF in physiological shear flow is lower than indicated by previous reports and that tethering to platelets or the vessel wall is required to mechanically activate VWF adhesive function for primary hemostasis.

Preliminary study of the effect of hemolysis on platelet aggregation through microscopic observation under physiological shear flow

Preliminary study of the effect of hemolysis on platelet aggregation through microscopic observation under physiological shear flow

PKCδ inhibition as a novel medical countermeasure for radiation-induced vascular damage.

In the event of a radiologic catastrophe, endothelial cell and neutrophil dysfunction play important roles in tissue injury. Clinically available therapeutics for radiation-induced vascular injury are largely supportive. PKCδ was identified as a critical regulator of the inflammatory response, and its inhibition was shown to protect critical organs during sepsis. We used a novel biomimetic microfluidic assay (bMFA) to interrogate the role of PKCδ in radiation-induced neutrophil-endothelial cell interaction and endothelial cell function. HUVECs formed a complete lumen in bMFA and were treated with 0.5, 2, or 5 Gy ionizing radiation (IR). At 24 h post-IR, the cells were treated with a PKCδ inhibitor for an additional 24 h. Under physiologic shear flow, the role of PKCδ on endothelium function and neutrophil adherence/migration was determined. PKCδ inhibition dramatically attenuated IR-induced endothelium permeability increase and significantly decreased neutrophil migration across IR-treated endothelial cells. Moreover, neutrophil adhesion to irradiated endothelial cells was significantly decreased after PKCδ inhibition in a flow-dependent manner. PKCδ inhibition downregulated IR-induced P-selectin, intercellular adhesion molecule 1, and VCAM-1 but not E-selectin overexpression. PKCδ is an important regulator of neutrophil-endothelial cell interaction post-IR, and its inhibition can serve as a potential radiation medical countermeasure.-Soroush, F., Tang, Y., Zaidi, H. M., Sheffield, J. B., Kilpatrick, L. E., Kiani, M. F. PKCδ inhibition as a novel medical countermeasure for radiation-induced vascular damage.

Computational analysis of integrated biosensing and shear flow in a microfluidic vascular model

Fluid flow and flow-induced shear stress are critical components of the vascular microenvironment commonly studied using microfluidic cell culture models. Microfluidic vascular models mimicking the physiological microenvironment also offer great potential for incorporating on-chip biomolecular detection. In spite of this potential, however, there are few examples of such functionality. Detection of biomolecules released by cells under flow-induced shear stress is a significant challenge due to severe sample dilution caused by the fluid flow used to generate the shear stress, frequently to the extent where the analyte is no longer detectable. In this work, we developed a computational model of a vascular microfluidic cell culture model that integrates physiological shear flow and on-chip monitoring of cell-secreted factors. Applicable to multilayer device configurations, the computational model was applied to a bilayer configuration, which has been used in numerous cell culture applications including vascular models. Guidelines were established that allow cells to be subjected to a wide range of physiological shear stress while ensuring optimal rapid transport of analyte to the biosensor surface and minimized biosensor response times. These guidelines therefore enable the development of microfluidic vascular models that integrate cell-secreted factor detection while addressing flow constraints imposed by physiological shear stress. Ultimately, this work will result in the addition of valuable functionality to microfluidic cell culture models that further fulfill their potential as labs-on-chips.

Human aortic endothelial cells respond to shear flow in well-plate microfluidic devices.

Although chronic progressive cardiovascular diseases such as atherosclerosis are often challenging to fully model in vitro, it has been shown that certain in vitro methods can effectively evaluate some aspects of disease progression. This has been demonstrated in in vitro and in vivo studies of endothelial cells that have illustrated the effects of nitric oxide (NO) production, filamentous actin (F-actin) formation, and cell and actin angle alignment on vascular function and homeostasis. Systems utilising shear flow have been established, in order to create a physiologically relevant environment for cells that require shear flow for homeostasis. Here, we investigated the use of a well-plate microfluidic system and associated devices (0-20dyn/cm²) to demonstrate applied shear effects on primary Human Aortic Endothelial Cells (HAECs). Changes in cell and actin alignment in the direction of flow, real-time production of NO and gross cell membrane shape changes in response to physiological shear flow were observed. These commercial systems have a range of potential applications, including within the consumer and pharmaceutical industries, thereby reducing the dependency on animal testing for regulatory safety assessments.

Shear stress promotes mitochondrial homeostasis and attenuates TNFα‐induced mitochondrial dysfunction

Hemodynamic blood flow‐induced laminar shear flow exerts atheroprotective responses in endothelial cells (ECs) have been intensively studied. Our earlier studies indicated that laminar shear flow attenuated cytokine‐induced inflammatory responses in ECs. However, the effects of laminar shear flow on mitochondrial homeostasis and functions in ECs and during the inflammation remain unclear. We examined the dynamic changes of mitochondrial phenotype and its regulatory proteins associated with mitochondrial functions in ECs under physiological shear flow. Cultured human ECs were subjected to a constant shear stress (12 dynes/cm2) with a parallel‐plate flow chamber system. Mitochondrial biogenesis, dynamics and function were analyzed from ECs after shear treatment. Shear‐treated ECs increased mitochondrial biogenesis as indicated by the elevated levels of mitochondrial transcription factor (TFAM), transcriptional coactivator (PGC1‐α), nuclear respiratory factor (NRF1) and mitochondrial proteins (SDHA and COX4). Shear flow triggered a time‐dependent increment of mitochondrial tubular formation (fusion). This phenomenon was coupled with an increased expression of fusion proteins (MFN2, OPA1) but decreased fission protein (FIS1). Laminar shear flow also increased the long form of OPA‐1 that promotes fusion. Consistently, an increase of phosphorylation at S637 but decrease at S616 on Drp1 and the decrease of mitochondria‐associated Drp1 were observed in ECs after flow treatment. Laminar flow increased the expression of mitochondrial antioxidant enzymes MnSOD2, Thioredoxin (TRX2), Peroxiredoxins (PRX3 and PRX5). As a consequence, ECs exposed to laminar shear flow improve mitochondrial function as revealed by a decreased mitochondrial reactive oxygen species levels (mROS), and an increase of mitochondrial membrane potential and ATP production. Furthermore, ECs exposed to TNFα decreased OPA1 and MFN2 expression and increased mitochondrial fission as revealed by the mitochondrial fragmentation. Consequently, TNFα treatment resulted in a decreased mitochondrial function in ECs. However, ECs under shear flow attenuated this TNFα‐induced decrease of OPA1 and mitochondrial dysfunction. ECs treated with TNFα decreased OPA1 and MFN2 expression, whiles under shear condition, these effects were attenuated. Our results suggest that steady laminar flow promotes endothelial function and helps to prevent the inflammation‐induced mitochondrial dysfunction in ECs. Our study further supports that laminar shear flow exerts atheroprotective role to ECs.

Co-culture of Living Microbiome with Microengineered Human Intestinal Villi in a Gut-on-a-Chip Microfluidic Device.

Here, we describe a protocol to perform long-term co-culture of multi-species human gut microbiome with microengineered intestinal villi in a human gut-on-a-chip microphysiological device. We recapitulate the intestinal lumen-capillary tissue interface in a microfluidic device, where physiological mechanical deformations and fluid shear flow are constantly applied to mimic peristalsis. In the lumen microchannel, human intestinal epithelial Caco-2 cells are cultured to form a 'germ-free' villus epithelium and regenerate small intestinal villi. Pre-cultured microbial cells are inoculated into the lumen side to establish a host-microbe ecosystem. After microbial cells adhere to the apical surface of the villi, fluid flow and mechanical deformations are resumed to produce a steady-state microenvironment in which fresh culture medium is constantly supplied and unbound bacteria (as well as bacterial wastes) are continuously removed. After extended co-culture from days to weeks, multiple microcolonies are found to be randomly located between the villi, and both microbial and epithelial cells remain viable and functional for at least one week in culture. Our co-culture protocol can be adapted to provide a versatile platform for other host-microbiome ecosystems that can be found in various human organs, which may facilitate in vitro study of the role of human microbiome in orchestrating health and disease.

Rheopathologic Consequence of Plasmodium vivax Rosette Formation.

Malaria parasites dramatically alter the rheological properties of infected red blood cells. In the case of Plasmodium vivax, the parasite rapidly decreases the shear elastic modulus of the invaded RBC, enabling it to avoid splenic clearance. This study highlights correlation between rosette formation and altered membrane deformability of P. vivax-infected erythrocytes, where the rosette-forming infected erythrocytes are significantly more rigid than their non-rosetting counterparts. The adhesion of normocytes to the PvIRBC is strong (mean binding force of 440pN) resulting in stable rosette formation even under high physiological shear flow stress. Rosetting may contribute to the sequestration of PvIRBC schizonts in the host microvasculature or spleen.

A novel microfluidic assay reveals a key role for protein kinase C δ in regulating human neutrophil-endothelium interaction.

A key step in neutrophil-mediated tissue damage is the migration of activated neutrophils across the vascular endothelium. Previously, we identified protein kinase C δ as a critical regulator of neutrophil migration in sepsis but did not identify specific steps in migration. In this study, we used our novel biomimetic microfluidic assay to delineate systematically the mechanism by which protein kinase C δ regulates individual steps in human neutrophil-endothelial interaction during inflammation. The biomimetic microfluidic assay includes a network of vascular channels, produced from in vivo images connected to a tissue compartment through a porous barrier. HUVECs cultured in vascular channels formed a complete lumen under physiologic shear flow. HUVECs were pretreated with TNF-α ± a protein kinase C δ inhibitor, and the tissue compartment was filled with a chemoattractant (fMLP or IL-8). Under physiologic shear flow, the role of protein kinase C δ on spatial and temporal neutrophil adherence/migration was quantified. Protein kinase C δ inhibition significantly reduced neutrophil adhesion in response to fMLP and IL-8 only under low shear rate and near bifurcations. Protein kinase C δ inhibition also decreased adherence to nonactivated HUVECs in response to fMLP or IL-8. Protein kinase C δ inhibition reduced neutrophil migration into the tissue compartment in response to fMLP and to a lesser degree, to IL-8. Antibody-coated microparticles demonstrated that protein kinase C δ inhibition down-regulated E-selectin and ICAM-1 but not VCAM-1 expression. With the use of a physiologically relevant in vitro model system, we demonstrate that protein kinase C δ plays an important role in the regulation of neutrophil adherence/migration during inflammation and identifies key steps regulated by protein kinase C δ in neutrophil-endothelial interactions.

Microfluidic approaches for the assessment of blood cell trauma: a focus on thrombotic risk in mechanical circulatory support devices.

Mechanical circulatory support devices (MCSDs) are emerging as a valuable therapeutic option for the management of end-stage heart failure. However, although recipients are routinely administered with anti-thrombotic (AT) drugs, thrombosis persists as a severe post-implant complication. Conventional clinical assays and coagulation markers demonstrate partial ability in preventing the onset of thrombosis. Through years, different laboratory techniques have been proposed as potential tools for the evaluation of platelets' hemostatic response in MCSD recipients. Most rely on platelet aggregation tests; they are performed in static or low shear conditions, neglecting the prominent contribution of MCSD shear-induced mechanical load in enhancing platelet activation (PA). On the other hand, those tests able to account for shear-induced PA have limited possibility of effective clinical translation. Advances on this side have been addressed by microfluidic technology. Microfluidic devices have been developed for AT drug monitoring under flow, able to replicate physiological and/or constant shear flow conditions in vitro. In this paper, we present a newly developed microfluidic platform able to expose platelets to MCSD-specific dynamic shear stress patterns. We performed in vitro tests circulating human platelets in the microfluidic platform and quantifying the dynamics of PA by means of the Platelet Activity State (PAS) assay. Our results prove the feasibility of using microfluidics for the diagnosis of MCSD-related thrombotic risk. This study paves the way for the development of a miniaturized point-of-care device for monitoring AT drug regimen. Such a system may have significant impact on limiting the incidence of thrombosis in MCSD recipients.

The mechanical properties of stored red blood cells measured by a convenient microfluidic approach combining with mathematic model.

The mechanical properties of red blood cells (RBCs) are critical to the rheological and hemodynamic behavior of blood. Although measurements of the mechanical properties of RBCs have been studied for many years, the existing methods, such as ektacytometry, micropipette aspiration, and microfluidic approaches, still have limitations. Mechanical changes to RBCs during storage play an important role in transfusions, and so need to be evaluated pre-transfusion, which demands a convenient and rapid detection method. We present a microfluidic approach that focuses on the mechanical properties of single cell under physiological shear flow and does not require any high-end equipment, like a high-speed camera. Using this method, the images of stretched RBCs under physical shear can be obtained. The subsequent analysis, combined with mathematic models, gives the deformability distribution, the morphology distribution, the normalized curvature, and the Young's modulus (E) of the stored RBCs. The deformability index and the morphology distribution show that the deformability of RBCs decreases significantly with storage time. The normalized curvature, which is defined as the curvature of the cell tail during stretching in flow, suggests that the surface charge of the stored RBCs decreases significantly. According to the mathematic model, which derives from the relation between shear stress and the adherent cells' extension ratio, the Young's moduli of the stored RBCs are also calculated and show significant increase with storage. Therefore, the present method is capable of representing the mechanical properties and can distinguish the mechanical changes of the RBCs during storage. The advantages of this method are the small sample needed, high-throughput, and easy-use, which make it promising for the quality monitoring of RBCs.

Evaluation of the bulk platelet response and fibrinogen interaction to elastin‐like polypeptide coatings

In this work, we expand on our understanding of the thrombogenicity of coatings prepared with three different recombinant elastin-like polypeptides (ELPs). The bulk platelet response of the ELP coatings was characterized following whole blood contact under physiological shear flow (300 s(-1) ) using flow cytometry. Prolonged exposure to shear flow (1-h) indicated that materials coated with the longer ELP coatings (ELP2 and ELP4) had less bulk platelet activation and microparticle formation than materials coated with the shorter ELP1. Quartz crystal microbalance with dissipation (QCM-D) was used to monitor the binding of the platelet membrane receptor GPIIb/IIIa to ELP-adsorbed fibrinogen (Fg) surfaces. Compared to the shorter ELPs, a lower amount of Fg adsorbed to the ELP4 coated material and ELP4 appeared to form a softer, more structurally flexible coating layer. When Fg was adsorbed to the ELP coated surface it demonstrated an altered binding for GPIIb/IIIa that was inhibited in the presence of an AGDV-containing peptide but not an RGD-containing peptide. Conversely, on the shorter ELP coatings, binding of GPIIb/IIIa to an adsorbed Fg layer was partially inhibited in the presence of an RGD-containing peptide. These results indicate that both the quantity and conformational state of Fg varies when adsorbed to surfaces coated with ELPs of varying sequence length, which may be mediating their platelet response. Collectively, the findings reinforce the applicability of the ELPs as potential thromboresistant coatings, especially with the use of the longer polypeptide-ELP4.

Structure, Folding Dynamics, and Amyloidogenesis of D76N β2-Microglobulin: ROLES OF SHEAR FLOW, HYDROPHOBIC SURFACES, AND α-CRYSTALLIN

Systemic amyloidosis is a fatal disease caused by misfolding of native globular proteins, which then aggregate extracellularly as insoluble fibrils, damaging the structure and function of affected organs. The formation of amyloid fibrils in vivo is poorly understood. We recently identified the first naturally occurring structural variant, D76N, of human β2-microglobulin (β2m), the ubiquitous light chain of class I major histocompatibility antigens, as the amyloid fibril protein in a family with a new phenotype of late onset fatal hereditary systemic amyloidosis. Here we show that, uniquely, D76N β2m readily forms amyloid fibrils in vitro under physiological extracellular conditions. The globular native fold transition to the fibrillar state is primed by exposure to a hydrophobic-hydrophilic interface under physiological intensity shear flow. Wild type β2m is recruited by the variant into amyloid fibrils in vitro but is absent from amyloid deposited in vivo. This may be because, as we show here, such recruitment is inhibited by chaperone activity. Our results suggest general mechanistic principles of in vivo amyloid fibrillogenesis by globular proteins, a previously obscure process. Elucidation of this crucial causative event in clinical amyloidosis should also help to explain the hitherto mysterious timing and location of amyloid deposition.

P21 Activated Kinase Signaling Coordinates Glycoprotein Receptor VI–Mediated Platelet Aggregation, Lamellipodia Formation, and Aggregate Stability Under Shear

Rho GTPase proteins play a central role in regulating the dynamics of the platelet actin cytoskeleton. Yet, little is known regarding how Rho GTPase activation coordinates platelet activation and function. In this study, we aimed to characterize the role of the Rho GTPase effector, p21 activated kinase (PAK), in platelet activation, lamellipodia formation, and aggregate formation under shear. Stimulation of platelets with the glycoprotein receptor VI agonist, collagen-related peptide, rapidly activated PAK in a time course preceding phosphorylation of PAK substrates, LIM domain kinase LIMK1 and the MAPK/ERK kinase MEK, and the subsequent activation of MAPKs and Akt. Pharmacological inhibitors of PAK blocked signaling events downstream of PAK and prevented platelet secretion as well as platelet aggregation in response to collagen-related peptide. PAK inhibitors also prevented PAK activation and platelet spreading on collagen surfaces. PAK was also required for the formation of platelet aggregates and to maintain aggregate stability under physiological shear flow conditions. These results suggest that PAK serves as an orchestrator of platelet functional responses after activation downstream of the platelet collagen receptor, glycoprotein receptor VI.

Three-Dimensional Modeling of Active Migration of Living Cells in a Microchannel

Leukocytes and other living cells can deform and migrate actively toward the source of chemoattractant. This directed movement of cells, known as chemotaxis, plays a crucial role in both innate and adaptive immune response of the body, and cancer metastasis. The cell's active deformation and migration are driven by intracellular forces generated by polymerization/depolymerization of cytoskeletal filaments. To numerically study these processes, we have implemented the Dembo's reactive interpenetrating flow formalism and polymerization force model into our three-dimensional volume-of-fluid (VOF)-based computational algorithm for viscoelastic cell deformation. The resulting computational model takes into account passive mechanical properties of the cell, extracellular diffusion of chemoattractant molecules, intracellular diffusion of signaling molecules, intracellular active force generation, and physiological shear flow conditions. We have applied this algorithm to study chemotaxis of nonadherent leukocytes in a rectangular microchannel in the presence or absence of shear flow. The numerical data have been tested against the corresponding experimental data.

SLP‐76 is required for optimal CXCR4‐stimulated T lymphocyte firm arrest to ICAM‐1 under shear flow

Rapid arrest of T cells at target sites upon engagement of chemokine receptors is crucial to the proper functioning of the immune system. Although T-cell arrest always occurs under hydrodynamic forces in vivo, most studies investigating the molecular mechanisms of arrest have been performed under static conditions. While the requirement of the adapter protein SLP-76 (Src homology 2-domain containing leukocyte-specific phosphoprotein of 76 kDa) in TCR-induced integrin activation has been demonstrated, its role in chemokine-triggered T-cell adhesion is unknown. Using a flow chamber system, we show that SLP-76 plays an important role in regulating the transition from tethering and rolling to firm adhesion of T cells under physiological shear flow in response to CXCL12α (stromal cell-derived factor-1α); SLP-76-deficient primary T cells exhibited defective adhesion with a significant decrease in the number of firmly arrested cells. We further demonstrate the N-terminal phosphotyrosines of SLP-76 play a critical role in T-cell adhesion under flow. These findings reveal a novel role for SLP-76 in CXCR4-mediated T lymphocyte trafficking.

Microfluidic device to study cell transmigration under physiological shear stress conditions

The development of new drug therapies relies on studies of cell transmigration in in vitro systems. Migration has traditionally been studied using two methods, the Boyden chamber and a shear flow chamber assay. Though, commonly applied in cell transmigration studies, they are far from imitating a natural migration process. Here we describe a novel in vitro cell transmigration microfluidic assay, which mimicks physiological shear flow conditions in blood vessels. The device was designed to incorporate the principles of both the Boyden chamber and the shear flow chamber assay, i.e. migration through the membrane under flow conditions. The 3D environment of migrating cells is imitated by injecting cell adhesion proteins to coat the membrane in the device. We tested the developed device with Jurkat cells migration towards medium supplemented with serum, and with chemokine induced lymphocytes migration. The applied continuous flow of cell suspension and chemoattractant ensures that the concentration gradient is maintained in time and space. The cell adhesion proteins used to enhance cell migration in the device were fibronectin and VCAM-1. We successfully observed a multistep transmigration process by means of the developed microfluidic migration assay. The presented device is inexpensive, easy to fabricate and disposable, having a potential to be applied in basic research as well as in the drug development process.

Shear Flow Induced Changes in Apolipoprotein C-II Conformation and Amyloid Fibril Formation

The misfolding and self-assembly of proteins into amyloid fibrils that occur in several debilitating diseases are affected by a variety of environmental factors, including mechanical factors associated with shear flow. We examined the effects of shear flow on amyloid fibril formation by human apolipoprotein C-II (apoC-II). Shear fields (150, 300, and 500 s(-1)) accelerated the rate of apoC-II fibril formation (1 mg/mL) approximately 5-10-fold. Fibrils produced at shear rates of 150 and 300 s(-1) were similar to the twisted ribbon fibrils formed in the absence of shear, while at 500 s(-1), tangled ropelike structures were observed. The mechanism of the shear-induced acceleration of amyloid fibril formation was investigated at low apoC-II concentrations (50 μg/mL) where fibril formation does not occur. Circular dichroism and tryptophan fluorescence indicated that shear induced an irreversible change in apoC-II secondary structure. Fluorescence resonance energy transfer experiments using the single tryptophan residue in apoC-II as the donor and covalently attached acceptors showed that shear flow increased the distance between the donor and acceptor molecules. Shear-induced higher-order oligomeric species were identified by sedimentation velocity experiments using fluorescence detection, while fibril seeding experiments showed that species formed during shear flow are on the fibril formation pathway. These studies suggest that physiological shear flow conditions and conditions experienced during protein manufacturing can exert significant effects on protein conformation, leading to protein misfolding, aggregation, and amyloid fibril formation.

Regulation of Endothelial Cell Adhesion Molecule Expression by Mast Cells, Macrophages, and Neutrophils

BackgroundLeukocyte adhesion to the vascular endothelium and subsequent transendothelial migration play essential roles in the pathogenesis of cardiovascular diseases such as atherosclerosis. The leukocyte adhesion is mediated by localized activation of the endothelium through the action of inflammatory cytokines. The exact proinflammatory factors, however, that activate the endothelium and their cellular sources remain incompletely defined.Methods and ResultsUsing bone marrow-derived mast cells from wild-type, Tnf−/−, Ifng−/−, Il6−/− mice, we demonstrated that all three of these pro-inflammatory cytokines from mast cells induced the expression of vascular cell adhesion molecule-1 (VCAM-1), intercellular adhesion molecule-1 (ICAM-1), P-selectin, and E-selectin in murine heart endothelial cells (MHEC) at both mRNA and protein levels. Compared with TNF-α and IL6, IFN-γ appeared weaker in the induction of the mRNA levels, but at protein levels, both IL6 and IFN-γ were weaker inducers than TNF-α. Under physiological shear flow conditions, mast cell-derived TNF-α and IL6 were more potent than IFN-γ in activating MHEC and in promoting neutrophil adhesion. Similar observations were made when neutrophils or macrophages were used. Neutrophils and macrophages produced the same sets of pro-inflammatory cytokines as did mast cells to induce MHEC adhesion molecule expression, with the exception that macrophage-derived IFN-γ showed negligible effect in inducing VCAM-1 expression in MHEC.ConclusionMast cells, neutrophils, and macrophages release pro-inflammatory cytokines such as TNF-α, IFN-γ, and IL6 that induce expression of adhesion molecules in endothelium and recruit of leukocytes, which is essential to the pathogenesis of vascular inflammatory diseases.

Chaotic Dynamics of Red Blood Cells in a Sinusoidal Flow

We show that the motion of individual red blood cells in an oscillating moderate shear flow is described by a nonlinear system of three coupled oscillators. Our experiments reveal that the cell tank treads and tumbles either in a stable way with synchronized cell inclination, membrane rotation and hydrodynamic oscillations, or in an irregular way, very sensitively to initial conditions. By adapting our model described previously, we determine the theoretical diagram for the red cell motion in a sinusoidal flow close to physiological shear stresses and flow variation frequencies and reveal large domains of chaotic motions. Finally, fitting our observations allows a characterization of cell viscosity and membrane elasticity.