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Biomedical subjects

Y Lanir

Publications and source records attributed to Y Lanir.

At least 37 records · Page 2Linked to original sources
PubMed1988

Nonlinear incompressible finite element for simulating loading of cardiac tissue--Part I: Two dimensional formulation for thin myocardial strips.

A two-dimensional incompressible plane-stress finite element is formulated for the simulation of the passive-state mechanics of thin myocardial strips. The formulation employs a total Lagrangian and materially nonlinear approach, being based on a recently proposed structural material law, which is derived from the histological composition of the tissue. The ensuing finite element allows to demonstrate the mechanical properties of a single myocardial layer containing uniformly directed fibers by simulating various loading cases such as tension, compression and shear. The results of these cases show that the fiber direction is considerably stiffer than the cross-fiber direction, that there is significant coupling between these two directions, and that the shear stiffness of the tissue is lower than its tensile and compressive stiffness.

Collagen↗
PubMed1988

Nonlinear incompressible finite element for simulating loading of cardiac tissue--Part II: Three dimensional formulation for thick ventricular wall segments.

A three dimensional incompressible and geometrically as well as materially nonlinear finite element is formulated for future implementation in models of cardiac mechanics. The stress-strain relations in the finite element are derived from a recently proposed constitutive law which is based on the histological composition of the myocardium. The finite element is formulated for large deformations and considers incompressibility by introducing the hydrostatic pressure as an additional variable. The results of passive loading cases simulated by this element allow to analyze the mechanical properties of ventricular wall segments, the main of which are that the circumferential direction is stiffer than the longitudinal one, that its shear stiffness is considerably lower than its tensile and compressive stiffness and that, due to its mechanically prominent role, the collagenous matrix may affect the myocardial perfusion.

Heart↗
PubMed1988

Structural three-dimensional constitutive law for the passive myocardium.

A three-dimensional constitutive law is proposed for the myocardium. Its formulation is based on a structural approach in which the total strain energy of the tissue is the sum of the strain energies of its constituents: the muscle fibers, the collagen fibers and the fluid matrix which embeds them. The ensuing material law expresses the specific structural and mechanical properties of the tissue, namely, the spatial orientation of the comprising fibers, their waviness in the unstressed state and their stress-strain behavior when stretched. Having assumed specific functional forms for the distribution of the fibers spatial orientation and waviness, the results of biaxial mechanical tests serve for the estimation of the material constants appearing in the constitutive equations. A very good fit is obtained between the measured and the calculated stresses, indicating the suitability of the proposed model for describing the mechanical behavior of the passive myocardium. Moreover, the results provide general conclusions concerning the structural basis for the tissue overall mechanical properties, the main of which is that the collagen matrix, though comprising a relatively small fraction of the whole tissue volume, is the dominant component accounting for its stiffness.

Animals↗
PubMed1988

Physico-chemical and microstructural changes in collagen fiber bundles following stretch in-vitro.

Simultaneous measurements of load, deformation and diameter were performed on stretched collagen fiber bundle from rat tail tendon using a dynamic, electronically controlled stretch system and a novel computer based electroptical set-up. A parallel analysis of glycosaminoglycan (GAG) concentration in the bathing solution was carried out to determine whether stretching affects GAG exudation from the bundle. Results show that the bundle diameter does change under stretch in a manner which depends on strain and time. The diameter decreases with time under constant axial strain, implying loss of fluid from the structure. Results of GAG analysis showed that stretching accelerate their exucation to the external bath. The data from cyclic stretch tests show that low (0.5%) strain produces monotonically decreasing diameter from cycle to cycle. Yet at higher strain level (4%) under sufficiently long rest periods between cycles, the diameter increases monotonically with cycling to above its original level, implying damage to restraining elements in the bundle which maintain its structural integrity. Simultaneous load and diameter data show mutually different trends, indicating that variation in the bundle's hydration (diameter) in itself does not have a significant effect on the bundle's axial response.

Animals↗
PubMed1987

Biorheology and fluid flux in swelling tissues. I. Bicomponent theory for small deformations, including concentration effects.

A theory for the rheological behavior and fluid flux in swelling tissues under small deformations is presented. Tissues are considered as bicomponent solid-fluid mixtures. Concentration effects are included. The driving forces (body, surface and interactive), are discussed and their constitutive relationships to the tissue's deformation are specified. Mass and momentum balance equations are developed for each component and for the tissue as a whole. The concept of swelling stress emerges from the theory as an anisotropic generalization of the commonly used swelling pressure. It is shown to be a measure of the total chemical potential combining both mechanical and concentration effects. The theory shows that concentration effects modify the tissue's bulk stiffness in a manner consistent with experimental observations.

Biomedical Engineering↗
PubMed1987

Biorheology and fluid flux in swelling tissues, II. Analysis of unconfined compressive response of transversely isotropic cartilage disc.

The response of a cartilage disc to unconfined compressive loading under small deformations is analyzed. The cartilage is considered as a transversely isotropic bicomponent (solid-fluid) tissue. Concentration effects (commonly termed osmotic pressure) are accounted for. The tissue's permeability is taken to be isotropic. Its concentration force is assumed to vary linearly with volume. The analysis shows that if the tissue's fibrous structure is taken into consideration, then the instantaneous response to a step loading depends on the tissue's elasticity and on its concentration force. The subsequent creep response, under commonly used experimental conditions, has a time constant which depends on the concentration force and permeability, but independent of its elastic response. The equilibrium volume is predicted to depend only on the concentration force. Where data is available it confirms the model's predictions. It is concluded from the present analysis that inclusion of concentration effects and the tissue's fibrous structure has significant consequences in terms of the relative roles of the collagen fibers (solid) vs. the ground substance (fluid) in the response of the cartilage to compressive loading.

Biomedical Engineering↗
PubMed1986

Inflation waves induced by axial acceleration of the aorta.

The phenomenon of high-amplitude inflation waves resulting from a sharp axial acceleration of the aorta, as may occur in road accidents, is investigated theoretically. The aorta is modeled as an axisymmetric tapered membranic shell (tube) made of an incompressible, nonlinear viscoelastic material with cylindrical orthotropy. It is filled with an inviscid, incompressible fluid whose flow is considered as quasi-one dimensional along the tube axis. The equations of motion of the tube and of the fluid are solved numerically, by using a two-step explicit scheme, for several axial acceleration profiles. The solutions shows that an inflation wave is generated and it propagates in opposite direction to that of the acceleration. The wall stresses, deformations and their time derivatives as well as fluid velocity and pressure are determined along the tube at different time intervals. Peak axial and circumferential stresses are high, with the latter far exceeding the former. These stresses may cause rupture of the aorta.

Acceleration↗
PubMed1986

The "instantaneous" deformation of cartilage: effects of collagen fiber orientation and osmotic stress.

The present study was undertaken with two objectives in view. The first was to distinguish between the "instantaneous" deformation and creep of articular cartilage when subjected to a step loading in unconfined compression. This was done by observing changes in the specimen's diameter rather than its thickness. The second objective was to investigate experimentally the anisotropic behaviour of cartilage in a compressive loading mode, corresponding to the physiological situation. An apparatus was thus developed and constructed which enabled us to follow the "instantaneous" changes of the surface area of the sample as the latter was being loaded in unconfined compression. Specimens of human articular cartilage from normal femoral heads and condyles were tested. Full thickness specimens were tested with and without the underlying bone, as well as partial thickness specimens, characterizing the different zones of cartilage. Solutions of different ionic strength were used to vary the osmotic stress and specimens covering a considerable range of proteoglycan concentrations were selected. The effects of hydration and proteoglycan removal on the "instantaneous" deformation were also studied. The "instantaneous" deformation was found to be of a strongly anisotropic nature in all zones. The deformation was always smaller along the Indian-ink prick pattern than at 90 degrees to it, and this effect was most pronounced in the superficial zone of cartilage. The results reveal an analogy with the tensile properties of cartilage and indicate that the collagen network is mainly responsible for controlling the "instantaneous" deformation. The proteoglycans play an indirect role by modulating the stiffness of the collagen network through their osmotic pressure.

Aged↗
PubMed1984

Histological staining as a measure of stress in collagen fibers.

It has been reported previously that collagen fibers will stain either red or green by Masson's and other trichrome methods depending on whether they have been respectively stressed or relaxed prior to fixation. This was shown in skin [1, 2, 3] tendon [4, 5] bone [6] and films of collagen [7]. If this stain-stress dependence is of a unique quantitative nature, then staining could be used as a tension probe for collagen fibers. Relaxed and stressed collagen bundles of rat tail tendon and rat Achilles tendon have been stained using various staining periods, and results indicate that the change in staining may be associated with denser packing of the fibers in the bundle under stress rather than directly due to the stress itself. Denser packing may reduce the rate of penetration of the counterstain thus causing the staining differences. Since this rate of penetration is dependent on a number of other variables (unrelated to stress), it is concluded that collagen staining is not a reliable tension probe.

Achilles Tendon↗
PubMed1984

The possible role of intimal convective transport in atherogenesis.

The possibility of fluid flux within the thickened subendothelial intima is considered. Both the media and the endothelium were already shown to be major hydraulic barriers. It is hypothesized that if the hydraulic conductivity of the inbetween layer of the subendothelial intima is considerably higher, then fluid flux in the downstream (axial) direction is likely to occur within the intima as a result of the luminal blood pressure wave. Macromolecular species (as lipoproteins) would then be transported axially by the fluid. This convective transport may give rise to the formation of early atheromas. The proposed mechanism is in accord with several clinical and experimental observations.

Adult↗
PubMed1983

Constitutive equations for fibrous connective tissues.

A general multiaxial theory for the constitutive relations in fibrous connective tissues is developed on the basis of microstructural and thermodynamic considerations. It is compatible with existing general material theories. In elastic tissues, the theory considers the strain-energy function to be the sum of strain-energies of the tissue's components. The stresses are derived from this strain-energy function. Viscoelastic constitutive relations are obtained in an analogous manner. Few examples are developed in detail. The results of the present strain-energy based theory are identical with those of the author's previous structural models (Lanir, 1979a, b) which are based on detailed equilibrium analysis. It turns out, however, that the analytical work involved in solving boundary value problems is considerably shorter if the present theory is used. The advantages of structural theories in avoiding ambiguity in material characterization and in offering an insight into the function, structure and mechanics of tissue components are discussed.

Animals↗
PubMed1983

Constitutive equations for the lung tissue.

The mechanical behavior of the lung tissue (expressed by its constitutive equations) has considerable influence on the normal and pathological function of the lung. It determines the stress field in the tissue, thus affecting the impedence and energy consumption during breathing as well as the localization of certain lung diseases. The lung tissue has a complex mechanical response. It arises from the tissue's structure--a cluster of a very large number of closely packed airsacks (alveoli) and air ducts. Each of the alveoli has a shape of irregular polyhedron. It is bounded by the alveolar wall membrane. In the present study, a stochastic approach to the tissue's structure will be employed. The density distribution function of the membrane's orientation in space is considered as the predominant structural parameter. Based on this model the present theory relates the behavior of both the alveolar membrane and that of its liquid interface to the tissue's general constitutive properties. The resulting equations allow for anisotropic and visco-elastic effects. A protocol for material characterization along the present model is proposed as well. The methodology of the present theory is quite general and can be similarly used with other structural models of the lung tissue (e.g., models in which the effect of the alveolar ducts is included).

Biomechanical Phenomena↗
PubMed1980

A microstructure model for the rheology of mammalian tendon.

The rheological behavior of mammalian tendon is analyzed in terms of its constituents structure and their properties. The elastic fibers are assumed to be straight and linearly elastic. They are of predominant role in the low ranges of strain. The collagen fibers are nonuniformly undulated. Upon stretch they gradually become straight, thus increasing the stiffness of the tissue. They are assumed to be linearly viscoelastic with negligible bending strength. It is shown that the nonuniformity of the collagen fiber structure can account for the observed nonlinear load-strain relations as well as for the nonlinear viscoelastic behavior of the tendon. An experimental procedure is developed through which the material functions and parameters can be determined.

Animals↗
PubMed1978

Structure-strength relations in mammalian tendon.

The stress-strain relations in mammalian tendon are analyzed in terms of the structure and mechanics of its constituents. The model considers the tensile and bending strength of the collagen fibers, the tensile strength of the elastin fibers, and the interaction between the matrix and the collagen fibers. The stress-strain relations are solved through variational considerations by assuming that the fibermaxtrix interactions can be modeled as beam on elastic foundation. The tissue thus modeled is a hyperelastic material. It is further shown that on the basis of the model, the dominant parameters to the tendon's behavior can be evaluated from simple tensile tests.

Animals↗
PubMed1978

Structure-function relations in mammalian tendon: the effect of geometrical nonuniformity.

The stress-strain relations of mammalian tendon are analyzed in terms of the structure of its constituents. Two observed experimental features are accounted for by the present model: the effect of the elastic fibers on the stress-strain curve in the primary range and the effect of the geometrical diversity of the structural units of the collagen fibers on the nonlinearity of the stress-strain relations. The effect of the matrix-fiber interaction and the bending rigidity of the fiber are neglected. It is shown that the observed nonlinear characteristics of the stress-strain relations in the tendon can be accurately accounted for by the model. It is further shown that on the basis of this model, considerable insight into the structure and mechanics of the tendon's constituents can be obtained from results of simple stress-strain tests.

Animals↗