Investigation of red blood cell mechanical properties using AFM indentation and coarse-grained particle method

Background

Red blood cells (RBCs) deform significantly and repeatedly when passing through narrow capillaries and delivering dioxygen throughout the body. Deformability of RBCs is a key characteristic, largely governed by the mechanical properties of the cell membrane. This study investigated RBC mechanical properties using atomic force microscopy (AFM) with the aim to develop a coarse-grained particle method model to study for the first time RBC indentation in both 2D and 3D. This new model has the potential to be applied to further investigate the local deformability of RBCs, with accurate control over adhesion, probe geometry and position of applied force.

Results

The model considers the linear stretch capacity of the cytoskeleton, bending resistance and areal incompressibility of the bilayer, and volumetric incompressibility of the internal fluid. The model’s performance was validated against force–deformation experiments performed on RBCs under spherical AFM indentation. The model was then used to investigate the mechanisms which absorbed energy through the indentation stroke, and the impact of varying stiffness coefficients on the measured deformability. This study found the membrane’s bending stiffness was most influential in controlling RBC physical behaviour for indentations of up to 200 nm.

Conclusions

As the bilayer provides bending resistance, this infers that structural changes within the bilayer are responsible for the deformability changes experienced by deteriorating RBCs. The numerical model presented here established a foundation for future investigations into changes within the membrane that cause differences in stiffness between healthy and deteriorating RBCs, which have already been measured experimentally with AFM.

     

Effect of N‐ethylmaleimide,chymotrypsin, and H2O2 on the viscoelasticity of human erythrocytes: Experimental measurement and theoretical analysis

The physiological functions of erythrocytes depend critically on their morphology, deformability, and aggregation capability in response to external physical and chemical stimuli. The dynamic deformability can be described in terms of their viscoelasticity. We applied jumping optical tweezers to trap and stretch individual red blood cells (RBCs) to characterize its viscoelasticity in terms of the Young's modulus and viscosity by analyzing the experimental data of dynamic deformation using a 2‐parameter Kelvin solid model. The effects of three chemical agents (N ‐ethylmaleimide, Chymotrypsin, and Hydrogen peroxide) on RBC's mechanical properties were studied by comparing the Young's modulus and viscosity of RBCs with and without these chemical treatments. Although the effects of each of these chemicals on the molecular structures of RBC may not be exclusive, based on the dominant effect of each chemical, we attempted to dissect the main contributions of different constituents of the RBC membrane to its viscosity and elasticity. (© 2014 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Role of protein kinases of human red cell membrane in deformability and aggregation changes

The proteomic analysis has showed that red cell membrane contains several kinases and phosphatases. Therefore the aim of this study was to investigate the role of protein kinases of human red cell membrane in deformability and aggregation changes. Exposure of red blood cells (RBCs) to some chemical compounds led to change in the RBC microrheological properties. When forskolin (10 microM), an adenylyl cyclase (AC) and a protein kinase A (PKA) stimulator was added to RBC suspension, the RBC deformability (RBCD) was increased by 20% (p < 0.05). Somewhat more significant deformability rise appeared after RBC incubation with dB-AMP (by 26%; p < 0.01). Red cell aggregation (RBCA) was significantly decreased under these conditions (p < 0.01). Markedly less changes of deformability was found after RBC incubation with protein kinase stimulator C (PKC)--phorbol 12-myristate 13-acetate (PMA). This drug reduced red cell aggregation only slightly. It was inhibited red cell tyrosine phosphotase activity by N-vanadat and was obtained a significant RBCD rise and RBCA lowering. The similar effect was found when cells were incubated with cisplatin as a tyrosine protein kinase (TPK) activator. It is important to note that a selective TPK inhibitor--lavendustin eliminated the above mention effects. On the whole the total data clearly show that the red cell aggregation and deformation changes were connected with an activation of the different intracellular signaling pathways.     

Spatially-resolved eigenmode decomposition of red blood cells membrane fluctuations questions the role of ATP in flickering

Red blood cells (RBCs) present unique reversible shape deformability, essential for both function and survival, resulting notably in cell membrane fluctuations (CMF). These CMF have been subject of many studies in order to obtain a better understanding of these remarkable biomechanical membrane properties altered in some pathological states including blood diseases. In particular the discussion over the thermal or metabolic origin of the CMF has led in the past to a large number of investigations and modeling. However, the origin of the CMF is still debated. In this article, we present an analysis of the CMF of RBCs by combining digital holographic microscopy (DHM) with an orthogonal subspace decomposition of the imaging data. These subspace components can be reliably identified and quantified as the eigenmode basis of CMF that minimizes the deformation energy of the RBC structure. By fitting the observed fluctuation modes with a theoretical dynamic model, we find that the CMF are mainly governed by the bending elasticity of the membrane and that shear and tension elasticities have only a marginal influence on the membrane fluctations of the discocyte RBC. Further, our experiments show that the role of ATP as a driving force of CMF is questionable. ATP, however, seems to be required to maintain the unique biomechanical properties of the RBC membrane that lead to thermally excited CMF.     

Red blood cell aggregation and dissociation in shear flows simulated by lattice Boltzmann method

In this paper we develop a lattice Boltzmann algorithm to simulate red blood cell (RBC) behavior in shear flows. The immersed boundary method is employed to incorporate the fluid-membrane interaction between the flow field and deformable cells. The cell membrane is treated as a neo-Hookean viscoelastic material and a Morse potential is adopted to model the intercellular interaction. Utilizing the available mechanical properties of RBCs, multiple cells have been studied in shear flows using a two-dimensional approximation. These cells aggregate and form a rouleau under the action of intercellular interaction. The equilibrium configuration is related to the interaction strength. The end cells exhibit concave shapes under weak interaction and convex shapes under strong interaction. In shear flows, such a rouleau-like aggregate will rotate or be separated, depending on the relative strengths of the intercellular interaction and hydrodynamic viscous forces. These behaviors are qualitatively similar to experimental observations and show the potential of this numerical scheme for future studies of blood flow in microvessels.     

Atrial natriuretic peptide: direct effects on human red blood cell dynamics.

The ability to deform is an important feature of red blood cells (RBCs) for performing their function of oxygen delivery. Little is known about the hormonal regulation of RBC deformability. Here we report that human atrial natriuretic peptide (ANP) acts directly on human RBCs leading to the elevation of local bending fluctuations of the cell membrane. These changes are accompanied by an increase in the filterability of RBCs. These ANP effects were mimicked by cyclic GMP analogues, suggesting modulation of local membrane bending fluctuations and RBC filterability via a cyclic GMP-dependent pathway. The effect of ANP on the mechanical properties of RBCs suggests that ANP may increase the passage red blood cells through capillaries resulting in an improved oxygen delivery to the tissues.     

结合AFM探测副伤寒沙门氏茵B感染红细胞膜的生物力学特性

采用原子力显微镜和衍射显微术,在纳米精确尺度探测副伤寒沙门氏菌B（Sp B）感染宿主红细胞（RBC）膜微观结构和力学特性,涉及细胞的形变、膜面内剪切模量和弯曲模量。结合这两种单分子测量技术,利用相关的数学模型表述RBC膜对菌体印B的入侵非常敏感。实验结果显示,不同感染期间的SpB寄生菌体,能够引起宿主RBC膜结构改变,形变能力降低,膜剪切模量和弯曲模量显著增加。这些力学特性的变化影响RBC的输氧和循环功能。实验结果表明,印B具有独特的鞭毛调控系统,入侵的毒性菌体寄生蛋白与血影蛋白网络中的运输蛋白有特异结合位点,导致RBC膜骨架网络、波动力学和细胞内、外基质都产生应激反应,这有可能为理解勋曰感染RBC的发病机理和寄生途径提供一些新的实验思路和分析依据。     

The role of red blood cell adenylyl cyclase activation in changes of erythrocyte membrane microrheological properties

The ability of red blood cells (RBCs) for the reversible change of their shape under passing through capillaries in microcirculation mainly depends on membrane elasticity of these cells. Phosphorylation of some membrane proteins can result in the changes of microrheological red blood cell properties. Here we show a significant increase in RBC deformability (RBCD) after incubation with isoproterenol (10⁻⁶ M). Red blood cell aggregation (RBCA) decreased under these conditions only slightly. When forskolin (10 μM), an adenylyl cyclase (AC) stimulator, was added to the RBC suspension, RBCD increased significantly (p < 0.05). Some more changes of deformability were found after incubation of RBC with stable penetrating analog of cyclic adenosine phosphate (cAMP), dibutyryl-cAMP, (dB-cAMP, 50 μM) and after phosphodiesterase (PDE) activity inhibition with Vinpocetine, Rolipram, or IBMX. It was found that Gs-proteins inhibitor Clonidine and specific Gi-protein stimulator Mastaparan 7 increased both RBCD and RBCA. On the whole, the data clearly show that the RBC aggregation and deformation changes are related with activation of the different intracellular signaling pathways. We suppose that RBCD increase was mainly associated with activation of the adenylyl-cyclase-cAMP system.     

Visualization study of motion and deformation of red blood cells in a microchannel with straight,divergent and convergent sections

The size of red blood cells (RBC) is on the same order as the diameter of microvascular vessels. Therefore, blood should be regarded as a two-phase flow system of RBCs suspended in plasma rather than a continuous medium of microcirculation. It is of great physiological and pathological significance to investigate the effects of deformation and aggregation of RBCs on microcirculation. In this study, a visualization experiment was conducted to study the microcirculatory behavior of RBCs in suspension. Motion and deformation of RBCs in a microfluidic chip with straight, divergent, and convergent microchannel sections have been captured by microscope and high-speed camera. Meanwhile, deformation and movement of RBCs were investigated under different viscosity, hematocrit, and flow rate in this system. For low velocity and viscosity, RBCs behaved in their normal biconcave disc shape and their motion was found as a flipping motion: they not only deformed their shapes along the flow direction, but also rolled and rotated themselves. RBCs were also found to aggregate, forming rouleaux at very low flow rate and viscosity. However, for high velocity and viscosity, RBCs deformed obviously under the shear stress. They elongated along the flow direction and performed a tank-treading motion.     

Theoretical model and experimental study of red blood cell (RBC) deformation in microchannels

The motion and deformation of red blood cells (RBCs) flowing in a microchannel were studied using a theoretical model and a novel automated rheoscope. The theoretical model was developed to predict the cells deformation under shear as a function of the cells geometry and mechanical properties. Fluid dynamics and membrane mechanics are incorporated, calculating the traction and deformation in an iterative manner. The model was utilized to evaluate the effect of different biophysical parameters, such as: inner cell viscosity, membrane shear modulus and surface to volume ratio on deformation measurements. The experimental system enables the measurement of individual RBCs velocity and their deformation at defined planes within the microchannel. Good agreement was observed between the simulation results, the rheoscope measurements and published ektacytometry results. The theoretical model results imply that such deformability measuring techniques are weakly influenced by changes in the inner viscosity of the cell or the ambient fluid viscosity. However, these measurements are highly sensitive to RBC shear modulus. The shear modulus, estimated by the model and the rheoscope measurements, falls between the values obtained by micropipette aspiration and laser trapping. The study demonstrates the integration of a theoretical model with a microfabricated device in order to achieve a better understanding of RBC mechanics and their measurement using microfluidic shear assays. The system and the model have the potential of serving as quantitative clinical tools for diagnosing deformability disorders in RBCs.     

Aggregation of erythrocytes and their membranes flexibility in patients with cancer-associated anemia: Mechanisms of changes under the influence of epoetin alfa

The relationships between the red blood cell (RBC) membrane elasticity and RBC aggregation in healthy individuals and in patients with anemia of malignant tumors treated with human erythropoietin drug epoetin alfa (EA) were analyzed. It was found that prior to the treatment of patients, incubation of RBCs with EA was accompanied by an increase of RBC deformability and the reduction of their aggregation (RBCA). In these circumstances the two characteristics of the RBC microrheology correlated negatively with each other (r =–0.734, p < 0.05). In contrast, aggregation and deformability of RBCs from healthy individuals increased under the influence of EA and positively correlated with each other (r = 0.580, p < 0.05). After a 4-week treatment of patients with EA, aggregation response of the patients’ RBCs was increased by 29% (p < 0.05) and was close to that of healthy RBCs. This change of the RBC aggregation response may be connected with an alteration of the sensitivity of the membrane cationic channel to EA and an increase of the cell deformability. This possibility was supported by experiments with the use of Ca²⁺-channel blocker verapamil and Ca²⁺-chelating agent EDTA. Under these conditions a decrease of the RBC aggregation varied from 40 to 50% (p < 0.05). It was suggested that the effectors of calcium regulatory cascade upon exposure to EA may be membrane integrin receptors of type IIb–IIIa. This assumption was confirmed by experiments employing the inhibitors of these receptors (tirofibam and integrelin) and a preparation of monoclonal antibodies against IIb–IIIa receptors (monafram), which produced a significant decrease (20–30%, p < 0.05) of the RBC aggregation. Thus, our findings suggest that the altered aggregation response of RBCs in anemic patients with malignant tumors can be restored by the correction of anemia with epoetin alfa.     

Stretching and Relaxation of Malaria-Infected Red Blood Cells

The invasion of red blood cells (RBCs) by malaria parasites is a complex dynamic process, in which the infected RBCs gradually lose their deformability and their ability to recover their original shape is greatly reduced with the maturation of the parasites. In this work, we developed two types of cell model, one with an included parasite, and the other without an included parasite. The former is a representation of real malaria-infected RBCs, in which the parasite is treated as a rigid body. In the latter, where the parasite is absent, the membrane modulus and viscosity are elevated so as to produce the same features present in the parasite model. In both cases, the cell membrane is modeled as a viscoelastic triangular network connected by wormlike chains. We studied the transient behaviors of stretching deformation and shape relaxation of malaria-infected RBCs based on these two models and found that both models can generate results in agreement with those of previously published studies. With the parasite maturation, the shape deformation becomes smaller and smaller due to increasing cell rigidity, whereas the shape relaxation time becomes longer and longer due to the cell’s reduced ability to recover its original shape.     

Stretching and Relaxation of Malaria-Infected Red Blood Cells

The invasion of red blood cells (RBCs) by malaria parasites is a complex dynamic process, in which the infected RBCs gradually lose their deformability and their ability to recover their original shape is greatly reduced with the maturation of the parasites. In this work, we developed two types of cell model, one with an included parasite, and the other without an included parasite. The former is a representation of real malaria-infected RBCs, in which the parasite is treated as a rigid body. In the latter, where the parasite is absent, the membrane modulus and viscosity are elevated so as to produce the same features present in the parasite model. In both cases, the cell membrane is modeled as a viscoelastic triangular network connected by wormlike chains. We studied the transient behaviors of stretching deformation and shape relaxation of malaria-infected RBCs based on these two models and found that both models can generate results in agreement with those of previously published studies. With the parasite maturation, the shape deformation becomes smaller and smaller due to increasing cell rigidity, whereas the shape relaxation time becomes longer and longer due to the cell’s reduced ability to recover its original shape.     

Elastic properties of the red blood cell membrane that determine echinocyte deformability

The natural biconcave shape of red blood cells (RBC) may be altered by injury or environmental conditions into a spiculated form (echinocyte). An analysis is presented of the effect of such a transformation on the resistance of RBC to entry into capillary sized cylindrical tubes. The analysis accounts for the elasticity of the membrane skeleton in dilation and shear, and the local and nonlocal resistance of the bilayer to bending, the latter corresponding to different area strains in the two leaflets of the bilayer. The shape transformation is assumed to be driven by the equilibrium area difference (A₀, the difference between the equilibrium areas of the bilayer leaflets), which also affects the energy of deformation. The cell shape is approximated by a parametric model. Shape parameters, skeleton shear deformation, and the skeleton density of deformed membrane relative to the skeleton density of undeformed membrane are obtained by minimization of the corresponding thermodynamic potential. Experimentally, A₀ is modified and the corresponding discocyte–echinocyte shape transition obtained by high-pressure aspiration into a narrow pipette, and the deformability of the resulting echinocyte is examined by whole cell aspiration into a larger pipette. We conclude that the deformability of the echinocyte can be accounted for by the mechanical behavior of the normal RBC membrane, where the equilibrium area difference A₀ is modified.     

In vivo photoacoustic and photothermal cytometry for monitoring multiple blood rheology parameters

Alterations of blood rheology (hemorheology) are important for the early diagnosis, prognosis, and prevention of many diseases, including myocardial infarction, stroke, sickle cell anemia, thromboembolism, trauma, inflammation, and malignancy. However, real-time in vivo assessment of multiple hemorheological parameters over long periods of time has not been reported. Here, we review the capabilities of label-free photoacoustic (PA) and photothermal (PT) flow cytometry for dynamic monitoring of hemorhelogical parameters in vivo which we refer to as photoacoustic and photothermal blood rheology. Using phenomenological models, we analyze correlations between both PT and PA signal characteristics in the dynamic modes and following determinants of blood rheology: red blood cell (RBC) aggregation, deformability, shape (e.g., as in sickle cells), intracellular hemoglobin distribution, individual cell velocity, hematocrit, and likely shear rate. We present ex vivo and in vivo experimental verifications involving high-speed PT imaging of RBCs, identification of sickle cells in a mouse model of human sickle cell disease and in vivo monitoring of complex hemorheological changes (e.g., RBC deformability, hematocrit and RBC aggregation). The multi-parameter platform that integrates PT, PA, and conventional optical techniques has potential for translation to clinical applications using safe, portable, laser-based medical devices for point-of-care screening of disease progression and therapy efficiency.     

Cross talk between endothelial and red blood cell glycocalyces via near-field flow

Vascular endothelial cells and circulating red blood cell (RBC) surfaces are both covered by a layer of bushy glycocalyx. The interplay between these glycocalyx layers is hardly measurable and insufficiently understood. This study aims to investigate and qualify the possible interactions between the glycocalyces of RBCs and endothelial cells using mathematical modeling and numerical simulation. Dissipative particle dynamics (DPD) simulations are conducted to investigate the response of the endothelial glycocalyx (EG) to varying ambient conditions. A two-compartment model including EG and flow and a three-compartment model comprising EG, RBC glycocalyx, and flow are established. The two-compartment analysis shows that a relatively fast flow is associated with a predominantly bending motion of the EG, whereas oscillatory motions are predominant in a relatively slow flow. Results show that circulating RBCs cause the contactless deformation of EG. Its deformation is dependent on the chain layout, chain length, bending stiffness, RBC-to-EG distance, and RBC velocities. Specifically, shorter EG chains or RBC-to-EG distance leads to greater relative deflections of EG. Deformation of EG is enhanced when the EG chains are rarefied or RBCs move faster. The bending stiffness maintains stretching conformation of EG. Moreover, a compact EG chain layout and shedding EG chains disturb the neighboring flow field, causing disordered flow velocity distributions. In contrast, the movement of EG chains on RBC surfaces exerts a marginal driving force on RBCs. The DPD method is used for the first time, to our knowledge, in the three-compartment system to explore the cross talk between EG and RBC glycocalyx. This study suggests that RBCs drive the EG deformation via the near-field flow, whereas marginal propulsion of RBCs by the EG is observed. These new, to our knowledge, findings provide a new angle to understand the roles of glycocalyx in mechanotransduction and microvascular permeability and their perturbations under idealized pathophysiologic conditions associated with EG degradation.     

Role of protein kinases of human red cell membrane in deformability and aggregation changes

The proteomic analysis has shown that the red cell membrane contains several kinases and phosphatases. Therefore the aim of this study was to investigate the role of protein kinases of human red cell membrane in deformability and aggregation alterations. The exposure of red blood cells (RBCs) to some chemical compounds has led to a change in the RBC microrheological properties. When forskolin (10 μM), an adenylyl cyclase (AC) and a protein kinase A (PKA) stimulator were added to RBC suspension, the RBC deformability (RBCD) was increased by 20% (p<0.05). Somewhat more significant deformability rise appeared after RBC incubation with dB-AMP (by 26%; p<0.01). The red cell aggregation (RBCA) was significantly decreased under these conditions (p<0.01). Markedly less changes of deformability were found after RBC incubation with protein kinase stimulator C (PKC)—phorbol 12-myristate 13-acetate (PMA). This drug reduced the red cell aggregation only slightly. The red cell tyrosine phosphotase activity was changed by N-vanadat and a significant RBCD rise and RBCA lowering were obtained. The similar effect was found when the cells were incubated with cisplatin as a tyrosine protein kinase (TPK) activator. It is important to note that a selective TPK inhibitor—lavendustin eliminated the above mentioned effects.     

A Highlights from MBoC Selection: Dynamic actin filaments control the mechanical behavior of the human red blood cell membrane

Short, uniform-length actin filaments function as structural nodes in the spectrin-actin membrane skeleton to optimize the biomechanical properties of red blood cells (RBCs). Despite the widespread assumption that RBC actin filaments are not dynamic (i.e., do not exchange subunits with G-actin in the cytosol), this assumption has never been rigorously tested. Here we show that a subpopulation of human RBC actin filaments is indeed dynamic, based on rhodamine-actin incorporation into filaments in resealed ghosts and fluorescence recovery after photobleaching (FRAP) analysis of actin filament mobility in intact RBCs (∼25–30% of total filaments). Cytochalasin-D inhibition of barbed-end exchange reduces rhodamine-actin incorporation and partially attenuates FRAP recovery, indicating functional interaction between actin subunit turnover at the single-filament level and mobility at the membrane-skeleton level. Moreover, perturbation of RBC actin filament assembly/disassembly with latrunculin-A or jasplakinolide induces an approximately twofold increase or ∼60% decrease, respectively, in soluble actin, resulting in altered membrane deformability, as determined by alterations in RBC transit time in a microfluidic channel assay, as well as by abnormalities in spontaneous membrane oscillations (flickering). These experiments identify a heretofore-unrecognized but functionally important subpopulation of RBC actin filaments, whose properties and architecture directly control the biomechanical properties of the RBC membrane.     

Additive effect of red blood cell rigidity and adherence to endothelial cells in inducing vascular resistance

To explore the contribution of red blood cell (RBC) deformability and interaction with endothelial cells (ECs) to circulatory disorders, these RBC properties were modified by treatment with hydrogen peroxide (H(2)O(2)), and their effects on vascular resistance were monitored following their infusion into rat mesocecum vasculature. Treatment with 0.5 mM H(2)O(2) increased RBC/EC adherence without significant alteration of RBC deformability. At 5.0 mM H(2)O(2), RBC deformability was considerably reduced, inducing a threefold increase in the number of undeformable cells, whereas RBC/EC adherence was not further affected by the increased H(2)O(2) concentration. This enabled the selective manipulation of RBC adherence and deformability and the testing of their differential effect on vascular resistance. Perfusion of RBCs with enhanced adherence and unchanged deformability (treatment with 0.5 mM H(2)O(2)) increased vascular resistance by about 35% compared with untreated control RBCs. Perfusion of 5.0 mM H(2)O(2)-treated RBCs, with reduced deformability (without additional increase of adherence), further increased vascular resistance by about 60% compared with untreated control RBCs. These results demonstrate the specific effects of elevated adherence and reduced deformability of oxidized RBCs on vascular resistance. These effects can be additive, depending on the oxidation conditions. The oxidation-induced changes applied in this study are moderate compared with those observed in RBCs in pathological states. Yet, they caused a considerable increase in vascular resistance, thus demonstrating the potency of RBC/EC adherence and RBC deformability in determining resistance to blood flow in vivo.     

Aggregation of human red blood cells after moderate heat treatment

The aggregation behaviour of normal and heat treated (48.4 degrees C, 48.8 degrees C, 49.5 degrees C) red blood cells (RBCs) suspended in dextran-saline solutions (Dx 70, Dx 173) was investigated by a laser light reflectometric method over a wide range of bridging energies. The characteristic times of rouleau formation were found to be increased after RBC heat treatment. The disaggregation shear stress is not significantly different between normal RBCs and heat treated RBCs. The loss of cell deformability is nevertheless shown to improve slightly the dissociation efficiency of the flowing liquid in a shear flow resulting in a small reduction of the disaggregation shear rate after heat treatment. Heat treatment is also shown to alter the structure of RBC network at equilibrium. These results indicate that heat induced alterations of erythrocytes only affects the mechanical properties of the cell membrane without significant changes in the macromolecular bridging energy.