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R M Hochmuth

Publications and source records attributed to R M Hochmuth.

At least 55 records · Page 3Linked to original sources
PubMed1983

Force relaxation and permanent deformation of erythrocyte membrane.

Force relaxation and permanent deformation processes in erythrocyte membrane were investigated with two techniques: micropipette aspiration of a portion of a flaccid cell, and extension of a whole cell between two micropipettes. In both experiments, at surface extension ratios less than 3:1, the extent of residual membrane deformation is negligible when the time of extension is less than several minutes. However, extensions maintained longer result in significant force relaxation and permanent deformation. The magnitude of the permanent deformation is proportional to the total time period of extension and the level of the applied force. Based on these observations, a nonlinear constitutive relation for surface deformation is postulated that serially couples a hyperelastic membrane component to a linear viscous process. In contrast with the viscous dissipation of energy as heat that occurs in rapid extension of a viscoelastic solid, or in plastic flow of a material above yield, the viscous process in this case represents dissipation produced by permanent molecular reorganization through relaxation of structural membrane components. Data from these experiments determine a characteristic time constant for force relaxation, tau, which is the ratio of a surface viscosity, eta to the elastic shear modulus, mu. Because it was found that the concentration of albumin in the cell suspension strongly mediates the rate of force relaxation, values for tau of 10.1, 40.0, 62.8, and 120.7 min are measured at albumin concentrations of 0.0, 0.01, 0.1, and 1.% by weight in grams, respectively. The surface viscosity, eta, is calculated from the product of tau and mu. For albumin concentrations of 0.0, 0.01, 0.1, and 1% by weight in grams, eta is equal to 3.6, 14.8, 25.6, and 51.9 dyn s/cm, respectively.

Erythrocyte Membrane↗
PubMed1983

Viscous flow of cytoplasm and red cell membrane: membrane recovery and tether contraction.

Several experiments have been designed to study the flow of membrane and measure its viscosity. In all cases, the viscous dissipation in the cytoplasm (i.e., hemoglobin) is assumed to be negligible in comparison to that in the membrane although this has not been shown analytically. Therefore, we analyze here the viscous flow or "dissipation" in membrane and hemoglobin for two particular experiments. One involves the recovery within a pipet of an aspirated portion of a membrane following the release of the aspiration pressure; the other involves the contraction of a membrane cylinder (tether) following a step change in the axial force acting on the tether. For the pipet -recovery experiment, our results indicate that the viscosity of hemoglobin must be 100 times larger before its dissipation compares to that in the membrane. For the tether-contraction experiment, hemoglobin viscosity must be 1000 to 10,000 times larger before it is significant. A preliminary result from a tether-contraction experiment gives a characteristic response time (approximately 10 sec) and a viscosity (approximately 10(-3) dyn X sec/cm) consistent with the analytical result that hemoglobin dissipation is negligible.

Blood Viscosity↗
PubMed1982

Extensional flow of erythrocyte membrane from cell body to elastic tether. I. Analysis.

This is the first of two papers on an analytical and experimental study of the flow of the erythrocyte membrane. In the experiment to be discussed in detail in the second paper, preswollen human erythrocytes are sphered by aspirating a portion of the cell membrane into a small micropipette; and long, thin, membrane filaments or "tethers" are steadily withdrawn from the cell at a point diametrically opposite to the point of aspiration. The aspirated portion of the membrane furnished a "reservoir" of material that replaces the membrane as it flows as a liquid from the nearly spherical cell body to the cylindrical tether. In this paper we show that an application of the principle of conservation of mass permits the tether radius (approximately 200 A or less) to be measured with the light microscope as the tether is formed and extended at a constant rate. A static analysis of the axisymmetric cell deformation and tether formation process reveals that the tether radius is uniquely determined by the isotropic tension in the membrane and the elastic constitutive (material) behavior of the tether itself. A dynamic analysis of the extensional flow process reveals that the tether radius must decrease as the velocity of the tether is increased and that the decrease depends on both the viscosity of the membrane and the elasticity of the tether. The analysis also shows that these two factors (membrane viscosity and tether elasticity) are readily decomposed and determined separately when flow experiments are performed at different isotropic tensions.

Elasticity↗
PubMed1982

Extensional flow of erythrocyte membrane from cell body to elastic tether. II. Experiment.

This is the second of two papers on an analytical and experimental study of the flow of erythrocyte membrane. In the experiments discussed here, preswollen human erythrocytes are sphered by aspirating a portion of the cell membrane into a small micropipette; and long, thin, membrane filaments or tethers are steadily withdrawn from the cell at a point diametrically opposite to the point of aspiration. The aspirated portion of the membrane furnishes a reservoir of material that replaces the membrane as it flows as a liquid from the nearly spherical cell body to the cylindrical tether. The application of the principle of conservation of mass permits the tether radius Rt to be measured with the light microscope as the tether is formed and extended at a constant rate. The tether behaves as an elastic solid such that the tether radius decreases as the force or axial tension acting on the tether is increased. For the range of values for Rt is these experiments (100 A less than or equal to Rt less than or equal to 200 A), the slope of the tether-force, tether-radius line is -1.32 dyn/cm. The surface viscosity of the membrane as it flows from cell body to tether is 3 x 10(-3) dyn.s/cm. This viscosity is essentially constant for characteristic rates of deformation between 10 and 200 s-1.

Elasticity↗
PubMed1982

Effect of wheat germ agglutinin on the viscoelastic properties of erythrocyte membrane.

The elasticity and viscosity of the human erythrocyte membrane were measured as a function of the concentration of wheat germ agglutinin (WGA) in a suspending solution containing 1 mg/ml albumin, approximately 5 X 10(5) cells/ml and between 0.0 and 0.2 microgram/ml WGA. Membrane elasticity was characterized by the elastic shear modulus, which provided a measure of the resistance of the membrane to constant-area elastic deformations that occurred in the membrane plane. The elastic shear modulus was determined by aspirating a portion of the membrane into a micropipette and measuring the extension of the membrane into the pipette as a function of the suction pressure. The results indicated no significant change in shear modulus for concentrations of WGA between 0.0 and 0.2 microgram/ml. Membrane viscosity was characterized by the coefficient of surface viscosity, which, in effect, was a measure of the membrane's resistance to rates of deformation. This coefficient was determined from the time required for an erythrocyte to recover its undeformed shape after it had been elongated by the application of an equal and opposite force applied at diametrically opposite points on the erythrocyte rim. The value for the coefficient of surface viscosity was found to increase by a factor of almost three when the WGA concentration was increased from 0.0 to 0.2 microgram/ml. These results indicated that, in the presence of albumin, WGA can increase membrane dissipation (viscosity) without altering the structural rigidity (elasticity) of the membrane.

Erythrocyte Membrane↗
PubMed1981

Deformability and viscoelasticity of human erythrocyte membrane.

The human red cell membrane behaves as a viscoelastic solid material. Since the concentrated haemoglobin solution within the red blood cell is a Newtonian liquid, it is not surprising that the cell's shape (its memory) and its resistance to deformation comes from the elastic, solid membrane. What is surprising is that the cell's resistance to an imposed rate of deformation also comes almost entirely from the membrane. That is, thermodynamically irreversible (rapid) deformation processes are dominated by dissipation in the membrane rather than that in the cytoplasm. Since experimental measurements indicate that the membrane has a characteristic response time of 0.1 s, rapid cellular deformation processes (those that occur within 0.1 s or less) will be strongly resisted by membrane dissipation. Such a situation can occur in the cell filtration experiment when a cell rapidly moves from a large reservoir to a small pore.

Blood Flow Velocity↗
PubMed1980

Temperature dependence of the viscoelastic recovery of red cell membrane.

The time-dependent recovery of an elongated red cell is studied as a function of temperature. Before release, the elongated cell is in static equilibrium where external forces are balanced by surface elastic force resultants. Upon release, the cell recovers its initial shape with a time-dependent exponential behavior characteristic of a viscoelastic solid material undergoing large ("finite") deformation. The recovery process is characterized by a time constant, tc, that decreases from approximately 0.27 s at 6 degrees C to 0.06 s at 37 degrees C. From this measurement of the time constant and an independent measurement of the shear modulus of surface elasticity for red cell membrane, the value for the membrane surface viscosity as a function of temperature can be calculated.

Adult↗
PubMed1979

Red cell extensional recovery and the determination of membrane viscosity.

A theory of membrane viscoelasticity developed by Evans and Hochmuth in 1976 is used to analyze the time-dependent recovery of an elongated cell. Before release, the elongated cell is the static equilibrium where external forces are balanced by membrane elastic force resultants. Upon release, the cell recovers its initial shape with a time-dependent exponential behavior characteristic of the viscoelastic solid model. It is shown that the model describes the time-dependent recovery process very well for a time constant in the range of 0.1-0.13 s. The time constant is the ratio membrane surface viscosity eta:membrane surface elasticity mu. Measurements for the shear modulus mu of 0.006 dyne/cm give a value for the surface viscosity of red cell membrane as a viscoelastic solid material of eta = mu tc = (6-8) X 10(-4) poise . cm.

Elasticity↗
PubMed1978

Membrane mechanical properties of ATP-depleted human erythrocytes.

Although the relations between the metabolic state and the mechanical properties of human red blood cells (RBC) continue to be of current interest, literature reports in this area are not in agreement. The present investigation was designed to determine several intrinsic mechanical properties of human RBC membranes before and after metabolic depletion via incubation at 37 degrees C for 24 hr. Using micropipette and flow channel techniques, three properties were measured: (1) mu, surface shear modulus of elasticity; (2) K, elastic area compressibility modulus; (3) etap, shear viscosity in the plastic domain. Our results indicate no significant differences in these parameters between fresh and ATP-depleted human RBC membranes. These present data are thus in disagreement with other literature reports indicating large changes in membrane mechanical properties consequent to metabolic depletion. A brief discussion of the possible reasons for this disagreement is presented.

Adenosine Triphosphate↗
PubMed1976

Membrane viscoelasticity.

In this paper, we develop a theory for viscoelastic behavior of large membrane deformations and apply the analysis to the relaxation of projections produced by small micropipette aspiration of red cell discocytes. We show that this relaxation is dominated by the membrane viscosity and that the cytoplasmic and extracellular fluid flow have negligible influence on the relaxation time and can be neglected. From preliminary data, we estimate the total membrane "viscosity" when the membrane material behaves in an elastic solid manner. The total membrane viscosity is calculated to be 10(-3) dyn-s/cm, which is a surface viscosity that is about three orders of magnitude greater than the surface viscosity of lipid membrane components (as determined by "fluidity" measurements). It is apparent that the lipid bilayer contributes little to the fluid dynamic behavior of the whole plasma membrane and that a structural matrix dominates the viscous dissipation. However, we show that viscous flow in the membrane is not responsible for the temporal dependence of the isotropic membrane tension required to produce lysis and that the previous estimates of Rand, Katchalsky, et al., for "viscosity" are six to eight orders of magnitude too large.

Animals↗
PubMed1976

Membrane viscoplastic flow.

In this paper, a theory of viscoplasticity formulated by Prager and Hohenemser is developed for a two-dimensional membrane surface and applied to the analysis of the flow of "microtethers" pulled from red blood cells attached to glass substrates. The viscoplastic flow involves two intrinsic material constants: yield shear and surface viscosity. The intrinsic viscosity for plastic flow of membrane is calculated to be 1 X 10(-2) dyn-s/cm from microtether flow experiments, three orders of magnitude greater than surface viscosities of lipid membrane components. The fluid dissipation is dominated by the flow of a structural matrix which has exceeded its yield shear. The yield shear is the maximum shear resultant that the membrane can sustain before it begins to deform irreversibly. The yield shear is found to be in the range 2-8 X 10(-2) dyn/cm, two or three orders of magnitude smaller than the isotropic tension required to lyse red cells.

Animals↗
PubMed1975

Effect of heat treatment on the elasticity of human erythrocyte membrane.

A parallel plate flow channel is employed to study the effect of heat treatment on the elasticity of human red cell membrane. An irreversible transition between 46 degrees C and 50 degrees C results in an approximately 200% increase in an elastic constant measured at 25 degrees C. This transition is attributable to irreversible protein denaturation which has been shown by other to occur at similar temperatures in calorimetric studies of red cell ghosts.

Cell Membrane↗
PubMed1975

Sickling times of individual erythrocytes at zero Po2.

A rapid-reaction parallel-plate flow channel was used to study the kinetics of erythrocyte sickling upon sudden deoxygenation with sodium dithionite. The erythrocytes were recorded on 16-mm film or video tape and visually tracked in time. Sickling was identified by morphologic criteria. At the flow rate used in these studies, the rate of sickling was a reaction-limited process. There was no loss of cellular deformability or membrane flicker before the onset of sickling. Typical sickling times for sickle (SS) cells and trait (AS) cells at room temperature in isotonic buffer were 2.0 and 70 s, respectively. Increasing the buffer osmolality resulted in shorter sickling times and under hypotonic conditions the time required for sickling was prolonged. Between pH 6.4 and 7.0 there was little change in the time required for 50% of the originally discoidal cells to sickle (t50); whereas a marked increase in t50 occurred between pH 7.4 and 7.6. Whole populations of AS and SS erythrocytes were separated into three fractions after centrifugation. The t50 of the fractions progressively decreased from top to bottom, which paralleled an increase in mean corpuscular hemoglobin concentration (MCHC). The t50 decreased as the temperature was increased from 13 degrees to 34 degrees C. This temperature effect was more pronounced for cells that had osmotically induced reductions in MCHC. A two-step process for erythrocyte sickling is proposed: an initial lag phase, during which there is little or no change in internal viscosity, followed by a rapid phase of cellular deformation. The lag phase is altered by changes in MCHC, pH, and temperature.

Anemia, Sickle Cell↗