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PubMed1990

Mucociliary interaction in vitro: effects of physiological and inflammatory stimuli.

Mucociliary transport in the airways is governed by the interaction between ciliary activity and the depth and rheological properties of the liquids (mucus) covering the epithelial surface. A change in one of these parameters may not predict the direction and magnitude of a concomitant change in mucociliary transport. We therefore determined the effects of physiological (neurotransmitters) and pathological (inflammatory mediators) stimuli on ciliary beat frequency (CBF), surface liquid velocity (SLV), surface liquid depth (SLD), and viscoelasticity of mucus in pieces of sheep trachea (n = 5 for each treatment) mounted in a chamber such that the submucosal side was bathed with Krebs-Henseleit perfusate (KH) and the luminal side was exposed to conditioned air. SLV, SLD, and CBF were measured with a microscope provided with an electronic micrometer and strobe light. Apparent viscosity and shear elastic modulus were measured with a microcapillary method using mucus collected at the downstream end of the preparation. Control CBF, SLV, and SLD were 11.6 +/- 0.4 (SE) Hz, 91 +/- 8 micron/s, and 33 +/- 5 microns, respectively, at base line and did not change during KH perfusion for 100 min. Perfusion with both acetylcholine and epinephrine (10(-5) to 10(-3) M) produced concentration-dependent increases in mean CBF (maximum increases at 10(-3) M of 16 and 9%, P less than 0.05), whereas only acetylcholine increased mean SLV (+56% at 10(-3) M, P less than 0.05). Perfusion with platelet-activating factor (10(-7) to 10(-5) M) decreased both mean CBF and SLV in a dose-dependent fashion (-6 and -63% at 10(-5) M, P less than 0.05), whereas antigen perfusion (1:60 dilution) increased mean CBF (+10%, P less than 0.05) but decreased SLV (-47%, P less than 0.05).(ABSTRACT TRUNCATED AT 250 WORDS)

Acetylcholine↗

PubMed2000

Influence of different elastic moduli of dowel and core on stress distribution in root.

This study was carried out to investigate the influences of elastic moduli of the dowel-core combination on the stress distribution in the root by the use of 2-dimensional finite element analysis. The peak stress at the dowel-cement interface was influenced strongly by a change of elastic modulus of the post (from 20,000 kg/mm2 as a hard prefabricated post to 8,000 kg/mm2 as a custom cast post) for both vertical and 45 degree oblique loading (rho > 90%). Peak dentinal stress adjacent to the luting cement layer depended only on the post material for vertical loading (rho [symbol: see text] 99%). In contrast, the post and core materials (from 8,000 kg/mm2 as cast core to 300 kg/mm2 as composite resin core) acted in cooperation on the stress magnitude for oblique loading, but the influence of the core material was stronger than that of the post (rho of core [symbol: see text] 41% and rho of post [symbol: see text] 26%). On the other hand, at the marginal region the effect of the core material contributed more than 86% to the peak stress value for both loadings, and the post material affected at most about 11% of the bending resistance.

Algorithms↗

PubMed2005

Spironolactone improves carotid artery fibrosis and distensibility in rat post-ischaemic heart failure.

Myocardial infarction causes neurohormonal activation involving aldosterone and angiotensin II (AngII). These hormones may increase arterial stiffness, an independent cardiovascular risk factor contributing to progression of congestive heart failure (CHF). This study aimed to determine the effect of aldosterone and AngII blockade on carotid artery distensibility and collagen density in adult Wistar rats with MI-induced CHF. Five groups were studied: Sham-operated, CHF, CHF + spironolactone, CHF + lisinopril, CHF + Spironolactone + Lisinopril. After echocardiography, in vitro isobaric carotid distensibility (echo-tracking technique) and collagen density were measured, and the incremental elastic modulus (Einc) calculated. In the CHF group, intra-ventricular pressure and cardiac weight were increased; carotid distensibility was reduced (CHF: 0.42 +/- 0.30 per mmHg(3) versus sham: 1.75 +/- 0.50 per mmHg(3); P < 0.001), and collagen content increased by 87% when compared to sham. All treatments reduced intra-ventricular pressure, carotid distensibility and fibrosis when compared to CHF but did not change cardiac weight. However, carotid distensibility and intra-ventricular pressure were not completely restored towards sham values and were significantly and inversely related. Spironolactone, which did not decrease significantly blood pressure, was the only drug reducing Einc independently of wall stress (WS). Thus, MI-induced CHF was associated with carotid artery remodeling. This vascular change, which may contribute to maintain cardiac hypertrophy and CHF, is largely prevented by AngII and aldosterone blockade. Only spironolactone reduced the stiffness of carotid wall material independently of blood pressure and WS.

Animals↗

PubMed2006

Three palatal arches used to correct posterior dental crossbites.

OBJECTIVE: To assess the force, resilience, and elasticity modulus produced by the Coffin appliance, "W" arch, and quad-helix made with 0.032-inch and 0.036-inch stainless steel wire. MATERIALS AND METHODS: Two groups of 15 arches were made as Coffin appliances, two groups of 15 arches were made as "W" arches, and two groups of 15 arches were made as quad-helices. One group of each appliance was formed in 0.032-inch and one group in 0.036-inch stainless steel wire. All arches (6 groups of 15 each) were submitted to compression trials in the mechanical testing machine EMIC DL-10000, simulating 5-, 8-, 10-, and 12-mm activation. The force and resilience means received a one-way ANOVA statistical analysis. RESULTS: The results showed that the mechanical properties depended on the shape of the appliance, the diameter of the wire used, and the amount of activation. CONCLUSIONS: The three appliances assessed produce appropriate forces for orthodontic treatment as long as they are correctly planned during clinical application.

Analysis of Variance↗

PubMed1996

Mechanical effects of neurofilament cross-bridges. Modulation by phosphorylation, lipids, and interactions with F-actin.

The structure of gels formed by bovine spinal cord neurofilaments was determined by fluorescence and electron microscopy and compared to mechanical properties measured by their elastic and viscous response to shear forces. Neurofilaments formed gels of high elastic modulus (>100 Pa) after addition of millimolar Mg2+. Gelation caused a slow increase in shear moduli to levels similar to those of vimentin intermediate filament networks, followed by a rapid rise due to formation of links between neurofilaments, mediated by cross-bridging structures that vimentin filaments lack. Neurofilament gels are more resistant to large deformations than are vimentin networks, suggesting the importance of cross-bridges for neurofilament mechanical properties. Fluorescence imaging of single neurofilaments showed flexible filaments that became straighter when they adhered to glass or were incorporated into filament bundles. Electron microscopy of neurofilament gels showed a system of bundles intertwined within a more isotropic network of individual filaments. Neurofilament gel formation was stimulated in vitro by acid phosphatase treatment or by inositol phospholipids. In contrast, addition of actin filaments reduced the resistance of neurofilament gels to large stresses. These results suggest that dynamic and regulated interactions occur between neurofilaments to form viscoelastic networks with properties distinct from other cytoskeletal structures.

Actins↗

PubMed2005

Effect of fluoride prophylactic agents on the mechanical properties of nickel-titanium-based orthodontic wires.

BACKGROUND: Titanium-based alloys have high corrosion resistance because they form a thin, stable oxide layer. Nevertheless, fluoride prophylactic agents can cause corrosion and associated discoloration of titanium-based orthodontic wires. The purpose of this investigation was to study the effects of fluoride prophylactic agents on the mechanical properties of nickel-titanium (Ni-Ti) and copper-nickel-titanium (Cu-Ni-Ti) orthodontic archwires. METHODS: Preformed rectangular Ni-Ti and Cu-Ni-Ti wires were immersed in either an acidulated fluoride agent, a neutral fluoride agent, or distilled water (control) for 1.5 hours at 37 degrees C. After immersion, the loading and unloading elastic modulus and yield strength of the wires were measured with a 3-point bend test in a water bath at 37 degrees C, in accordance with the criteria in the current American National Standard/American Dental Association Specification No. 32 for Orthodontic Wires (2000). Scanning electron microscopy was also used to characterize the effects of the fluoride treatment on the wire topography. RESULTS: Unloading mechanical properties of Ni-Ti orthodontic wires were significantly decreased after exposure to both fluoride agents (1-way analysis of variance [ANOVA] and Dunnett's post hoc, alpha =.05); however, Cu-Ni-Ti wire mechanical properties were not significantly affected by either fluoride agent (1-way ANOVA, alpha =.05). Corrosive changes in surface topography were observed for both wires, with Cu-Ni-Ti appearing to be more severely affected. CONCLUSIONS: The results suggest that using topical fluoride agents with Ni-Ti wire could decrease the functional unloading mechanical properties of the wire and contribute to prolonged orthodontic treatment.

Acidulated Phosphate Fluoride↗

PubMed1994

Effect of cement film thickness on the fracture resistance of a machinable glass-ceramic.

OBJECTIVES: The aim of this study was to determine the fracture resistance of a machinable glass-ceramic plate cemented to a resin composite block as a function of the cement film thickness for two types of cement. METHODS: Ceramic plates were cemented to resin composite blocks using either zinc phosphate cement or a resin composite cement. For the zinc phosphate cement, the film thickness was 33 +/- 8 microns or 128 +/- 8 microns; for the resin composite cement, the thickness ranged from 26 +/- 11 microns to 297 +/- 48 microns. The elastic modulus was determined for each of the cements. Fracture loads were obtained by using a spherical steel indenter in the center of the glass-ceramic plate. The Weibull distribution was used for the statistical analysis. RESULTS: For glass-ceramic plates cemented with zinc phosphate cement, the fracture resistance was independent of the film thickness. When the resin composite cement was used, a gradual decrease of the fracture strength was observed that became statistically significant at a cement thickness of 300 microns or more. The characteristic fracture strength of glass-ceramic plates cemented with the resin composite cement was about 75% higher than when using the zinc phosphate cement. This difference is attributed to the bonding of the resin cement to the ceramic plate and the supporting structure. SIGNIFICANCE: The findings of this study suggest that the resistance to fracture due to indentation of the glass-ceramic may not be affected by the cement film thickness as much as previously thought.

Acrylic Resins↗

PubMed1997

Fracture studies of selected dental restorative composites.

OBJECTIVES: The purpose of this study was to evaluate the flexure strength, elastic modulus, and fracture toughness (mode I, mode II, and mixed mode) of resin and four specially made dental restorative composite materials. METHODS: Testing was done on prismatic bars in flexure and disk specimens in diametral compression. Fracture strengths were analyzed using Weibull statistics. Statistical analysis consisted of a one-way analysis of variance followed by a Tukey multiple means analysis for each of the materials. In addition, the fracture strengths were analyzed using Weibull statistics due to the brittle behavior exhibited by these materials. RESULTS: The experimental results showed that the addition of fillers resulted in a significant three-fold increase in flexure modulus and a significant 30-50% increase in fracture toughness from the resin. As was indicated by the different Weibull modulus values, strength data obtained from four-point bending were not related with strength data from three-point bending. A straight notch vs. a relatively sharp V-notch gave higher fracture toughness values. Fracture toughness was dependent on the depth of a straight notch and was practically independent of the V-notch depth. Mode I and II fracture toughness in two composites (75Sr and 75Sr10) were carried out on precracked disk specimens in diametral compression. The results of mode I toughness were close to those obtained from the flexure testing. The mode II toughness values were greater than the mode I values by more than 30%. The data fit an equation of the form KI/KIC + (KII/KIIC)2 = 1(where KI, KII are the mode I and II stress intensity factors and KIC, KIIC are the respective critical values). SIGNIFICANCE: Notching technique, testing configuration (three-point vs. four-point loading), and method of testing (bar vs. disk) have significant effect on the fracture properties.

Analysis of Variance↗

PubMed2003

Development of platelet contractile force as a research and clinical measure of platelet function.

This article reviews work performed at the Medical College of Virginia of Virginia Commonwealth University during the development of a whole-blood assay of platelet function. The new assay is capable of assessing platelet function during clotting and thus allows measurement of the contribution of platelets to thrombin generation. Because platelets are monitored in the presence of thrombin, the test gages platelets under conditions of maximal activation. Three parameters are simultaneously assessed on one 700 microL sample of citrated whole blood. Platelet contractile force (PCF), the force produced by platelets during clot retraction, is directly measured as a function of time. This parameter is sensitive to platelet number, platelet metabolic status, glycoprotein IIb/IIIa status, and the presence of antithrombin activities. Clot elastic modulus (CEM), also measured as a function of time, is sensitive to fibrinogen concentration, platelet concentration, the rate of thrombin generation, the flexibility of red cells, and the production of force by platelets. The third parameter, the thrombin generation time (TGT) is determined from the PCF kinetics curve. Because PCF is absolutely thrombin dependent (no thrombin-no force), the initial upswing in PCF occurs at the moment of thrombin production. TGT is sensitive to clotting factor deficiencies, clotting factor inhibitors, and the presence of antithrombins, all of which prolong the TGT and are known to be hemophilic states. Treatment of hemophilic states with hemostatic agents shortens the TGT toward normal. TGT has been demonstrated to be shorter and PCF to be increased in coronary artery disease, diabetes mellitus, and several other thrombophilic states. Treatment of thrombophilic states with a variety of heparin and nonheparin anticoagulants prolongs the TGT toward normal. The combination of PCF, CEM, and TGT measured on the same sample may allow rapid assessment of global hemostasis and the response to a variety of procoagulant and anticoagulant medications.

Animals↗

PubMed1992

Mechanical properties of the aneurysmal aorta.

The mechanical properties of the abdominal aorta were investigated non-invasively in 30 patients with aortic aneurysm and 11 with peripheral arterial disease. The distensibility of the aorta was measured using M-mode ultrasonography, permitting non-invasive assessment of the pressure--strain elastic modulus or aortic stiffness, Ep. The median Ep value increased from 4.0 N/cm2 in control subjects in their third decade of life (n = 10) to 10.4 N/cm2 in middle age (n = 11) to 14.0 N/cm2 in the elderly (n = 13). In the presence of a normal diameter, peripheral arterial disease with aortic atherosclerosis had little effect on aortic stiffness, median Ep being 16.0 N/cm2. Aneurysmal dilatation was associated with a significant increase in aortic stiffness, median Ep being 31.3 N/cm2 (P < 0.001). For aortas of normal diameter, Ep was at all ages dependent on mean arterial pressure. In patients with aortic aneurysms there was no clear relationship between Ep and mean arterial pressure or aortic diameter. Of the patients studied, 15 underwent aortic reconstruction; increasing aortic stiffness (log Ep) was associated with a decreased medial elastin content of the aortic biopsy (r = -0.63, P < 0.02). This study demonstrates the marked stiffness or inelasticity of dilated or aneurysmal vessels, part of which is attributable to the loss of elastin.

Adult↗

PubMed1978

Direct effect of physiological doses of arginine vasopressin on the arterial wall in vivo.

Effects of topically applied arginine vasopressin (VPA), in 100-150 muU/ml blood concentration, on external diameter (D) and on dynamic elastic modulus (E*) of surgically denervated common carotid (CC) and femoral (FA) arteries have been studied before and after hypophysectomy in anesthetized dogs. Changes in D, E*, and flow resistance (R) of the CC and FA vascular beds before and after removal of the pituitary were also determined. It was found that VPA elicited a substantial (max 21-26%) decrease in E* and a smaller (max 5.9-6.9%) reduction in D of FA independent of the presence of absence of the pituitary gland. The VPA effect developed more rapidly after hypophysectomy than before. In the CC, VPA did not significantly affect values of E*. During the 1-h period after hypophysectomy, statistically significant decreases in E*-CC, E*-FA, and D-CC were observed, but D-FA did not change, although arterial pressure as well as R-FA and R-CC were diminished. These results give further support to physiological vascular actions of VPA and a possible role in short-term circulatory control. In large arteries, the effects of VPA also seem to be regionally differentiated.

Animals↗

PubMed1994

Electrical admittance cuff for noninvasive and simultaneous measurement of haematocrit, arterial pressure and elasticity using volume-oscillometric method.

An improved technique based on the electrical admittance cuff was designed for the non-invasive measurement of haematocrit (Hct), together with blood pressure (BP) and arterial elasticity represented as volume elastic modulus (Ev), in human fingers. This device is made of a rigid annular chamber installed with a surrounding thin-walled tube (cuff), which is filled with electrolyte solution. A tetrapolar method is used to detect the admittance signals, both in the solution and in a finger segment placed through the cuff. With this device, it is theoretically shown that the resistivity of blood flowing into the segment is equal to that of the solution multiplied by the ratio of the admittance variation in the solution to that in the segment. Thus, the blood resistivity and therefore Hct can be non-invasively determined from the electrolyte resistivity and these two admittance variations. On the other hand, BP and Ev are also simultaneously measured from the admittance signals following the gradual change of the chamber pressure based on the volume-oscillometric method. Experiments were successfully made in 14 subjects, showing that the indirect Hct values agreed well with the direct values obtained from sampled blood and that this simple technique was significant for the non-invasive ad simultaneous measurement of these physiological variables.

Adult↗

PubMed1992

Increased stiffness and persistent narrowing of the aorta after successful repair of coarctation of the aorta: relationship to left ventricular mass and blood pressure at rest and with exercise.

Fifteen children and adolescents who had repair of coarctation of the aorta before age 15, who were not hypertensive at rest, and who had resting arm-leg blood pressure gradients of less than 20 mm Hg underwent noninvasive evaluation of left ventricular structure and function, aortic stiffness, and residual coarctation as well as bicycle exercise testing. These results were compared with those in 15 age- and sex-matched control subjects. The mean resting age-related systolic blood pressure percentiles (63% versus 46%), transverse aortic stiffness measured by the elastic modulus (Ep) (42.1 versus 23.2 kPa), stiffness index beta (beta) (3.66 versus 2.17), echocardiographic left ventricular fractional shortening (0.42 versus 0.36), left ventricular mass index (99.3 versus 81.0 gm/m2), maximum exercise right arm systolic blood pressure (173 versus 156 mm Hg), and exercise arm-leg blood pressure gradient (35 versus 6 mm Hg) were significantly increased in the coarctectomy patients compared with controls. Univariate correlations in the coarctectomy group showed significant relationships of residual aortic narrowing with left ventricular mass index (r = 0.68, p less than 0.01) and resting systolic blood pressure percentile for age (r = 0.55, p less than 0.05). Residual aortic narrowing did not significantly correlate with aortic stiffness, resting blood pressure gradient, or exercise blood pressure gradient. Neither left ventricular mass index nor resting systolic blood pressure percentile significantly correlated with age of repair or years after repair. These results demonstrate persistent abnormalities in aortic stiffness and left ventricular mass and function after successful repair of coarctation of the aorta in childhood and adolescence.(ABSTRACT TRUNCATED AT 250 WORDS)

Adolescent↗

PubMedDate not supplied

Influence of implant design and bone quality on stress/strain distribution in bone around implants: a 3-dimensional finite element analysis.

PURPOSE: A 3-dimensional finite element analysis was performed to evaluate the influence of implant type and length, as well as that of bone quality, on the stress/strain in bone and implant. MATERIALS AND METHODS: Two types (screw and cylinder) and 4 lengths (9.2, 10.8, 12.4, and 14.0 mm) of titanium implants were buried in 4 types of bone modeled by varying the elastic modulus for cancellous bone. Axial and buccolingual forces were applied to the occlusal node at the center of the abutment. RESULTS: Regardless of load direction, maximum equivalent stress/strain in bone increased with a decrease in cancellous bone density. Under axial load, especially in the low-density bone models, maximum equivalent strain in cancellous bone was lower with the screw-type implant than with the cylinder-type implant. It was also lower with the longer implants than with the shorter implants. Under buccolingual load, equivalent stress/strain was influenced mainly by bone density. DISCUSSION: This study confirms the importance of bone quality and its presurgical diagnosis for implant long-term prognosis. Implant length and type can also influence bone strain, especially in low-density bone. CONCLUSIONS: The results of this study suggest that cancellous bone of higher rather than lower density might ensure a better biomechanical environment for implants. Moreover, longer screw-type implants could be a better choice in a jaw with cancellous bone of low density.

Biomechanical Phenomena↗

PubMed1999

Physicochemical properties of arterial elastin and its associated glycoproteins.

Microfibrillar glycoproteins are a significant component of vascular elastic tissue, but little is known about their contribution to vascular physiology and pathology. We have investigated some physicochemical properties of the glycoproteins that may be pertinent to these roles. Because of the difficulty in isolating intact glycoproteins in a form and quantity suitable for physicochemical examination, we based our analysis on a comparison of the properties of porcine thoracic aorta and pulmonary artery extracted with GuHCl and collagenase (preparation GC) and after further treatment with dithioerythritol to remove glycoproteins (preparation GC/DTE). Amino acid analysis showed that GC/DTE had the amino acid composition of pure elastin while GC contained a higher proportion of polar amino acids, particularly in the aortic preparation. GC stained with alcian blue, particularly in the intimal region, but GC/DTE did not. GC had a higher water content and a slower viscoelastic response and the circumferential elastic modulus was approximately 50% lower (whether expressed in terms of sample weight or elastin content). Clearly, therefore, the microfibrils do not stiffen the network and may prevent the alignment of elastin fibers in the circumferential direction. Their effect on hydration may arise either because they impose mechanical constraints on the geometry of the network or because they modify the inter- and intramolecular hydrophobic or electrostatic interactions that influence the tissue organization and hydration. Molecular probe measurements of the intrafibrillar pore structure using radiolabeled and fluorescent probes showed that removal of the microfibrils caused a slight decrease in the extrafibrillar water space and a larger decrease in the intrafibrillar water space. Sucrose, a small probe molecule, was able to penetrate most of the intrafibrillar water space when microfibrils were present but was virtually excluded when they were not. Potentiometric titration and radiotracer assays of ion binding both showed that the microfibrils contribute a considerable negative charge (-9 mumoles/g wet tissue in the aortic preparation and -16 mumoles/g wet weight in the pulmonary artery) and increase calcium binding by approximately 30%.

Animals↗

PubMed1999

Effect of five woven fiber reinforcements on the impact and transverse strength of a denture base resin.

STATEMENT OF PROBLEM: Fracture strength of denture base resins is of great concern, and many approaches have been used to strengthen acrylic resin dentures. PURPOSE: This study measured the effect of 5 fiber strengtheners on the fracture resistance of denture base acrylic resin material. Impact strength, transverse strength, deflection, and elasticity modulus values of a heat-polymerized denture base resin (Trevalon), reinforced with glass, carbon, thin Kevlar, thick Kevlar, and polyethylene fibers in woven form were studied. MATERIAL AND METHODS: One hundred acrylic resin test specimens reinforced with woven fibers were fabricated. The control group consisted of 20 specimens with no fiber reinforcement. For the impact strength test, a Charpy-type impact tester was used. Transverse strength was assessed with a 3-point bending test by using a screw-driven mechanical testing machine. Ten specimens were used for each test. RESULTS: The highest impact test values were produced by polyethylene-reinforced group, and the lowest values were obtained from specimens containing no fibers. There were significant differences among the test groups, but no significant differences in transverse strength were found. The lowest transverse strength values were obtained for specimens strengthened with polyethylene fibers, which also insignificantly decreased transverse strength of the acrylic resin. CONCLUSION: The impact strength of denture base acrylic resins was increased with fibers in woven form. Tested fibers did not have a significant effect on the transverse strengths.

Analysis of Variance↗

PubMed1978

Relationship of aortic wall and baroreceptor properties during development in normotensive and spontaneously hypertensive rats.

We studied the relationship between aortic baroreceptor function and aortic wall properties in normotensive (NTR) and spontaneously hypertensive (SHR) rats 10-20 weeks old. Baroreceptor discharge, static pressure-volume (P-V), and pressure-radius relationships were measured in excised aortic segments. Histological studies of wall thickness and receptor numbers also were made. Circumferential wall stress and strain were calculated, as was the incremental elastic modulus (EINC). EINC in NTR's at 100 mm Hg was similar to values reported for in vivo human, dog, and rat aortas. At 10 weeks, SHR's had significantly elevated blood pressure, but SHR and NTR aortas had similar relationships among pressures, volumes, strains, and EINC's. Differences arose subsequently and, at 20 weeks, NTR aortas had larger volumes, larger strains, and smaller EINC's at equivalent pressures, whereas SHR aortas were unchanged. Thus the reduced distensibility of SHR relative to NTR aortas, rather than being due to retrogressive changes from normal, appeared to result from a failure to pass through a phase of increased distensibility. At 10 weeks, SHR baroreceptors showed resetting in both pressure-response and strain-response curves, and it was concluded that early hypertensive baroreceptor resetting was due to primary changes in the receptors. At 20 weeks, the order of the strain-response curves for NTR and SHR baroreceptors was reversed due to a reduction in strain sensitivity of NTR baroreceptors. Resetting of NTR baroreceptors during development may have important implications as a mechanism of blood pressure control in development.

Animals↗

PubMed1983

Blood viscoelasticity and thixotropy from stress formation and relaxation measurements: a unified model.

A Maxwell-type equation, which involves both time-dependent viscosity eta (t) and elastic modulus G(t) is proposed as governing the shear stress difference sigma' = sigma - sigma Y, where sigma and sigma Y are total and yield shear stresses respectively. A (reaction kinetics) equation for a structure variable lambda is written which describes the evolution of blood structure (network in equilibrium rouleau in equilibrium RBC) in stress formation and stress relaxation measurements and which also depends on the (constant) applied shear rate gamma 1. The time dependent viscosity is assumed to involve the solution lambda (t, gamma 1) of the rate equation in the same manner than its equilibrium value lambda eq(gamma 1) enters in a viscosity equation eta [lambda eq] yet proposed by one of the authors. A simple relation G[lambda] completes the structural description. General solutions sigma (t) of the Maxwell-type equation are discussed in the case of stress relaxation (after the cessation of steady flow) and stress formation (under constant shear rate). Especially, the latter exhibits the well-known "overshoot" behavior. Moreover, the long time behavior of the former allows the quantification of the yield shear stress. Lastly one example of application to blood measurements is discussed.

Blood Physiological Phenomena↗