Spectrin properties and the elasticity of the red blood cell membrane skeleton

Dynamics of red blood cells in microporous membranes

We have performed microfluidic experiments with erythrocytes passing through a network of microchannels of 20-25 μm width and 5 μm of height. Red blood cells (RBCs) were flowing in countercurrent directions through microchannels connected by μm pores. Thereby, we have observed interesting flow dynamics. All pores were blocked by erythrocytes. Some erythrocytes have passed through pores, depending on the channel size and cell elasticity. Many RBCs split into two or more smaller parts. Two types of splits were observed. In one type, the lipid bilayer and spectrin network were cut at the same time. In the second type, the lipid bilayer reconnected, but the part of spectrin network stayed outside the cell forming a rope like structure, which could eventually break. The microporous membrane results in multiple breakups of the cells, which can have various clinical implications, e.g., glomerulus hematuria and anemia of patients undergoing dialysis. The cell breakup procedure is similar to the one observed in the droplet breakage of viscoelastic liquids in confinement.

Erythrocyte osmotic resistance recovery after lung volume reduction surgery

OBJECTIVES

Alteration of erythrocyte osmotic resistance, with increment of reticulocytes, is common in emphysema. This fragility is probably due to an altered fatty acid membrane composition from lipid peroxidation, a reaction triggered by the disease-related increment of reactive oxidative species. We analysed the effects of lung volume reduction surgery (LVRS) on this anomaly compared with respiratory rehabilitation (RR) therapy.

METHODS

We retrospectively compared 58 male patients with moderate-to-severe emphysema who underwent LVRS with 56 similar patients who underwent standardized RR. Respiratory function parameters, erythrocyte osmotic resistance and antioxidant enzymes levels were evaluated before and 6 months after treatments.

RESULTS

Significant improvements in respiratory function, exercise capacity, unsaturated fatty acid content (+10.0%, P = 0.035), erythrocyte osmotic resistance (hyperosmolar resistance -21.0%, P = 0.001; hyposmolar resistance -18.0%, P = 0.007) and erythrocyte antioxidant enzymes [superoxide dismutase (SOD) +60.0%, P < 0.001; glutathione peroxidase +39.0%, P = 0.004 and glutathione reductase +24.5%, P = 0.008] were observed after surgery. In the RR group, we did not find any significant improvements in osmotic resistance, although respiratory and functional parameters were significantly improved. Correlation analysis in the surgical group showed that the reduction in residual volume (RV) significantly correlated the normalization of hyperosmotic (P = 0.019) and hyposmotic resistances (P = 0.006), the decrease in the absolute number of reticulocytes (P = 0.037) and increase in SOD (P < 0.001).

CONCLUSIONS

LVRS improved unsaturated fatty acid content, erythrocyte osmotic resistance and levels of erythrocyte antioxidant enzymes compared with RR. Correlations between erythrocyte osmotic resistance and antioxidant intracellular enzymes with RV suggest that reduction in lung hyperinflation with the elimination of inflammatory emphysematous tissue may explain such improvements after surgery.

Nanomechanics of multiple units in the erythrocyte membrane skeletal network

Erythrocytes undergo deformations when they transport O₂ and CO₂ across the membrane, yet the 3D nanomechanics of the skeletal network remains poorly understood. Expanding from our previous single isolated unit, we now simulate networks consisting of 1–10 concentric rings of repeating units in equibiaxial deformation. The networks are organized with (1) a 3D model for a single unit, (2) a wrap-around mode between Sp and actin protofilament in the intra-unit interaction, and (3) a random inter-unit connectivity. These assumptions permit efficient five-degrees-of-freedom (5DOF) simulations when up to 30 pN of radial forces are applied to the boundary spectrin (Sp) and the center and other units are analyzed. As 6 Sp balance their tensions, hexagonal units become irregular. While actin protofilaments remain tangent to the network, their yaw (Φ) angles change drastically with addition of neighboring units or an Sp unfolding. It is anticipated that during deformation, transmembrane complexes associated with the network move laterally through the lipid bilayer and increase the diffusion of molecules across the membrane. When protofilament/Sp sweeps under the lipid bilayer, they mix up the submembrane concentration gradient. Thus, the nanomechanics of actin protofilaments and Sp may enhance the transport of molecules during erythrocyte deformation.

Repeat-protein folding: new insights into origins of cooperativity, stability, and topology

Although our understanding of globular protein folding continues to advance, the irregular tertiary structures and high cooperativity of globular proteins complicates energetic dissection. Recently, proteins with regular, repetitive tertiary structures have been identified that sidestep limitations imposed by globular protein architecture. Here we review recent studies of repeat-protein folding. These studies uniquely advance our understanding of both the energetics and kinetics of protein folding. Equilibrium studies provide detailed maps of local stabilities, access to energy landscapes, insights into cooperativity, determination of nearest-neighbor interaction parameters using statistical thermodynamics, relationships between consensus sequences and repeat-protein stability. Kinetic studies provide insight into the influence of short-range topology on folding rates, the degree to which folding proceeds by parallel (versus localized) pathways, and the factors that select among multiple potential pathways. The recent application of force spectroscopy to repeat-protein unfolding is providing a unique route to test and extend many of these findings.

Atomistic and Coarse-grained Analysis of Double Spectrin Repeat Units: The Molecular Origins of Flexibility

Spectrin is an ubiquitous protein in metazoan cells, and its flexibility is one of the keys to maintaining cellular structure and organization. Both alpha-spectrin and beta-spectrin polypeptides consist primarily of triple coiled-coil modular repeat units, and two important factors that determine spectrin flexibility are the bending flexibility between two consecutive repeat units and the conformational flexibility of individual repeat units. Atomistic molecular dynamics (MD) simulations are used here to study double spectrin repeat units (DSRUs) from the human erythrocyte beta-spectrin (HEbeta89) and the chicken brain alpha-spectrin (CBalpha1617). From the results of MD simulations, a highly conserved Trp residue in the A-helix of most repeat units that has been suggested to be important in conferring stability to the coiled-coil structures is found not to have a significant effect on the conformational flexibility of individual repeat units. Characterization of the bending flexibility for two consecutive repeats of spectrin via atomistic simulations and coarse-grained (CG) modeling indicate that the bending flexibility is governed by the interactions between the AB-loop of the first repeat unit, the BC-loop of the second repeat unit and the linker region. Specifically, interactions between residues in these regions can lead to a strong directionality in the bending behavior of two repeat units. The biological implications of these finding are discussed.

Extending a spectrin repeat unit. I: linear force-extension response

Nonequilibrium molecular dynamics simulations were used to calculate the elastic properties of a spectrin repeat unit. A contiguous alpha-helical linker was constructed by employing periodic boundary conditions, allowing a novel scheme for evaluating the thermodynamic force as a function of extension. By measuring the force-extension response under small extensions, spectrin was observed to behave primarily as an elastic material with a spring constant of 1700 +/- 100 pN/nm. The implications of this spring constant, in terms of the properties of the spectrin tetramer, are also discussed.

Finite element modelling and simulations in cardiovascular mechanics and cardiology: A bibliography 1993–2004

The paper gives a bibliographical review of the finite element modelling and simulations in cardiovascular mechanics and cardiology from the theoretical as well as practical points of views. The bibliography lists references to papers, conference proceedings and theses/dissertations that were published between 1993 and 2004. At the end of this paper, more than 890 references are given dealing with subjects as: Cardiovascular soft tissue modelling; material properties; mechanisms of cardiovascular components; blood flow; artificial components; cardiac diseases examination; surgery; and other topics.

Characterization of the Nuclear Deformation Caused by Changes in Endothelial Cell Shape

We investigated the mechanotransduction pathway in endothelial cells between their nucleus and adhesions to the extracellular matrix. First, we measured nuclear deformations in response to alterations of cell shape as cells detach from a flat surface. We found that the nuclear deformation appeared to be in direct and immediate response to alterations of the cell adhesion area. The nucleus was then treated as a neo-Hookean compressible material, and we estimated the stress associated with the cytoskeleton and acting on the nucleus during cell rounding. With the obtained stress field, we estimated the magnitude of the forces deforming the nucleus. Considering the initial and final components of this adhesion-cytoskeleton-nucleus force transmission pathway, we found our estimate for the internal forces acting on the nucleus to be on the same order of magnitude as previously measured traction forces, suggesting a direct mechanical link between adhesions and the nucleus.

Micromechanical architecture of the endothelial cell cortex

Mechanical properties of living cells are important for cell shape, motility, and cellular responses to biochemical and biophysical signals. Although these properties are predominantly determined by the cytoskeleton, relatively little is known about the mechanical organization of cells at a subcellular level. We have studied the cell cortex of bovine pulmonary artery endothelial cells (BPAECs) using atomic force microscopy (AFM) and confocal fluorescence microscopy (CFM). We show that the contrast in AFM imaging of these cells derives in large part from differences in local mechanical properties, and AFM images of BPAEC reveal the local micromechanical architecture of their apical cortex at approximately 125 nm resolution. Mechanically the cortex in these cells is organized as a polygonal mesh at two length scales: a coarse mesh with mesh element areas approximately 0.5-10 microm2, and a finer mesh with areas <0.5 microm2. These meshes appear to be intertwined, which may have interesting implications for the mechanical properties of the cell. Correlated AFM-CFM experiments and pharmacological treatments reveal that actin and vimentin are components of the coarse mesh, but microtubules are not mechanical components of the BPAEC apical cortex.

Nanostructure, effective properties, and deformation pattern of the cochlear outer hair cell cytoskeleton

We consider the mechanical properties of the outer hair cell cytoskeleton. The cytoskeleton is represented as a set of microdomains of different sizes and orientations composed of actin filaments and spectrin crosslinks. An intermediate material between domains is also introduced. The domain characteristics are randomly generated and the histograms of the cytoskeleton stiffness moduli are obtained. We solve an inverse problem and estimate the stiffness of the crosslink and connective molecule in the intermediate material. We discovered a pattern of highly inhomogeneous deformation of the cytoskeleton where the circumferential strain is primarily determined by the deformation of the intermediate material.

A dedication in memoriam of Dr. Richard Skalak

Richard Skalak (1923-1997) played a leadership role in the formative decades of the discipline of biomedical engineering through his technical contributions in biomechanics, his educational influence on students, and his service to many developing societies and journals. But always, the distinguishing marks of his involvement with any activity or person were his generosity, respect and tolerance for others, integrity, and curiosity. These very qualities are what first brought him as a traditional engineering trained in engineering mechanics into the young field of biomedical engineering in the 1960s, and they are what led him to new approaches to cellular and molecular engineering, tissue engineering, and orthopedic biomechanics. His technical papers and lectures on blood cell mechanics, pulmonary circulation, dental implants, and tissue growth were models of clarity and often pointed the way to new areas of exploration, while his personal writings offer advice on life, academic organizations, and the pursuit of significant work. He would be deeply appreciative that this first volume of the Annual Review of Biomedical Engineering is dedicated to his memory.

Elasticity of the red cell membrane and its relation to hemolytic disorders: an optical tweezers study

We have used optical tweezers to study the elasticity of red cell membranes; force was applied to a bead attached to a permeabilized spherical ghost and the force-extension relation was obtained from the response of a second bead bound at a diametrically opposite position. Interruption of the skeletal network by dissociation of spectrin tetramers or extraction of the actin junctions engendered a fourfold reduction in stiffness at low applied force, but only a twofold change at larger extensions. Proteolytic scission of the ankyrin, which links the membrane skeleton to the integral membrane protein, band 3, induced a similar effect. The modified, unlike the native membranes, showed plastic relaxation under a prolonged stretch. Flaccid giant liposomes showed no measurable elasticity. Our observations indicate that the elastic character is at least as much a consequence of the attachment of spectrin as of a continuous membrane-bound network, and they offer a rationale for formation of elliptocytes in genetic conditions associated with membrane-skeletal perturbations. The theory of Parker and Winlove for elastic deformation of axisymmetric shells (accompanying paper) allows us to determine the function BH(2) for the spherical saponin-permeabilized ghost membranes (where B is the bending modulus and H the shear modulus); taking the literature value of 2 x 10(-19) Nm for B, H then emerges as 2 x 10(-6) Nm(-1). This is an order of magnitude higher than the value reported for intact cells from micropipette aspiration. Reasons for the difference are discussed.