The measurement and modelling of the mechanical properties of human skin in vivo--II. The model

The stress-strain relationship for human skin in vivo has a characteristic non linear shape even for low loads. Considerations are given on the basis of which a structural model has been selected, in which the mechanical properties of corrugated collagen fibrils are involved. It is found that such a model can describe the experimental stress-strain relationship surprisingly well with only three free parameters. These parameters are related to basic collagen fibril properties such as stiffness, diameter and waviness. The role of elastin is likely to be negligible for the purely elastic properties of human skin in vivo.     

The role of elastin in the mechanical properties of skin

The elastin fibers of rat skin samples were degraded by the use of a purified preparation of elastase to which soybean inhibitor was added, preventing the collagenolytic activity of the elastase on collagen. Control experiments ascertained degradation of elastin and no effect on collagen. The mechanical properties of the skin samples were studied before and after the enzymatic treatment and differences ascribed to the degraded elastin fibers. Elastin plays a role in the mechanical behaviour of rat skin at small stress values and small deformations. Especially, the elastin fibers are responsible for the recoiling mechanism after a stress or deformation has been applied.     

The mechanical properties of the rabbit and human cornea

The extensibility of rabbit and human corneas was measured by raising the pressure within the intact globe of the eye and measuring the displacements of two very small mercury drops on the corneal surface. The human cornea showed a negligible extensibility under low stresses. The rabbit tissue, however, underwent a 9% strain under low pressures with a curvilinear relationship between stress and strain. At higher pressures the relationship was linear, and the tissue showed some creep. The low pressure stress-strain relationship of the rabbit could not be explained on the basis that the collagen fibrils were being straightened out from an initial set in a sinusoidal wave. When the stroma was isolated from Descemet's membrane, it showed a negligible low pressure extensibility in rabbit and man. On the other hand, isolated Descemet's membrane was very extensible in both species. The difference between them in the behavior of the intact cornea seems to lie in the relative initial strain in the stroma and Descemet's membrane.     

In vitro measurement of the mechanical properties of skin by nano/microindentation methods

The elastic behaviors of stratum corneum, viable epidermis, dermis, and whole skin were investigated by nano/microindentation techniques. Insignificant differences in reduced elastic modulus of skin samples obtained from three different porcine breeds revealed breed type independent measurements. The reduced elastic modulus of stratum corneum is shown to be about three orders of magnitude higher than that of dermis. As a result, for relatively shallow and deep indentations, skin elasticity is controlled by that of stratum corneum and dermis, respectively. Skin deformation is interpreted in the context of a layered structure model consisting of a stiff and hard surface layer on a compliant and soft substrate, supported by microscopy observations and indentation measurements.     

Linear modelling of biopolymer systems and related mechanical properties

A numerical method is proposed to assess the role of random microstructure on the effective Young’s modulus of a two-phase biopolymer composite material. An Ising model coupled to a Monte Carlo (MC) technique is used to generate virtual microstructures representing realistic starch–zein blends having random microstructure. The motivation here was to generate virtual microstructures that can be used in a numerical model to allow a continuous variation of both phase fraction and interface length. From the Pair Correlation Function (PCF), the minimum requirement for the Representative Volume Element (RVE) is established based on geometrical considerations. Finite element analysis allowed the prediction of the effective Young’s modulus as function of the phase ratio for the studied microstructures. The predicted trend is found close to that of Confocal Laser Scanning Microscopy (CLSM) microstructures of starch-based blends used as a case study. The comparison between the predicted results and the most popular analytical expressions points out that only the Hashin–Shrickman bounds are the most close bounds to the evolution of the effective Young’s modulus as function of second phase ratio.When implementing the intrinsic properties of starch and zein and considering virtual microstructures, analytical and numerical models exhibit the same trend. However, the comparison with the 3-p bending results suggests instead, a non-linear trend that can be inferred to the presence of imperfect starch–zein interface properties.     

Passive mechanical properties of human leukocytes.

Micropipette experiments are used to determine the rheological properties of human leukocytes. Individual cells in EDTA are subjected to a known aspiration pressure via a micropipette, and their surface deformation from the undeformed spherical shape is recorded on a television monitor. The cells are mathematically modeled as homogeneous spheres, and a standard solid viscoelastic model is found to describe accurately the deformation of the cell for small strains. These experimental and theoretical studies provide the basis for further investigations of leukocyte rheology in health and disease.     

Dynamic measurement of the viscoelastic properties of skin

A wave propagation technique was used to measure the dynamic viscoelastic properties of excised skin when subjected to a low incremental strain. The propagation velocity, attenuation, and storage and loss moduli were determined from measured characteristics of a pulse propagating along a strip of skin. Experiments were conducted with the skin subjected to static stresses of 1500 Pa and 20,000 Pa. At low static stresses the skin response was viscoelastic with a loss tangent of approximately 0.6. In the frequency range of 0-1000 Hz, the wave velocity was relatively constant while the attenuation increased roughly linearly with frequency. However, results depended on the static stress. At the higher stress level the velocity was greater and the attenuation less than at the lower stress. At low stresses both the storage and loss moduli were relatively constant over the frequency range tested. The strong viscoelastic behavior of the tissue at higher frequencies is not predicted from models of the tissue determined from quasi-static test methods. In selecting a model to describe the behavior of skin, the test methods used for establishing the model must be consistent with its intended application.     

Region-specific mechanical properties of the human patella tendon.

The present study investigated the mechanical properties of tendon fascicles from the anterior and posterior human patellar tendon. Collagen fascicles from the anterior and posterior human patellar tendon in healthy young men (mean +/- SD, 29.0 +/- 4.6 yr, n = 6) were tested in a mechanical rig. A stereoscopic microscope equipped with a digital camera recorded elongation. The fascicles were preconditioned five cycles before the failure test based on pilot data on rat tendon fascicle. Human fascicle length increased with repeated cycles (P < 0.05); cycle 5 differed from cycle 1 (P < 0.05), but not cycles 2-4. Peak stress and yield stress were greater for anterior (76.0 +/- 9.5 and 56.6 +/- 10.4 MPa, respectively) than posterior fascicles (38.5 +/- 3.9 and 31.6 +/- 2.9 MPa, respectively), P < 0.05, while yield strain was similar (anterior 6.8 +/- 1.0%, posterior 8.7 +/- 1.4%). Tangent modulus was greater for the anterior (1,231 +/- 188 MPa) than the posterior (583 +/- 122 MPa) fascicles, P < 0.05. In conclusion, tendon fascicles from the anterior portion of the human patellar tendon in young men displayed considerably greater peak and yield stress and tangent modulus compared with the posterior portion of the tendon, indicating region-specific material properties.     

The effect of superficial hydration on the mechanical properties of human skin in vivo: implications for plastic surgery

The influence of topically applied tap water on the mechanical properties of human skin was studied in vivo by applying tap water to the ventral aspect of the forearms of 18 healthy volunteers for 10 or 20 minutes and then measuring distensibility, elastic retraction, and hysteresis. Significant increases in distensibility, resilient distensibility, and hysteresis were noted after 20 minutes of soaking. Most of these findings were already apparent after 10 minutes. This study shows that the epidermis plays a significant role in determining the mechanical properties of human skin. Possible practical implications of superficial skin hydration for plastic surgery such as tissue expansion and larger excisions are briefly discussed.     

In vivo characterization of the mechanical properties of human skin derived from MRI and indentation techniques

The human skin is an exceedingly complex and multi-layered material. This paper aims to introduce the application of the finite element analysis (FEA) to the in vivo characterization of the non-linear mechanical behaviour of three human skin layers. Indentation tests combined with magnetic resonance imaging (MRI) technique have been performed on the left dorsal forearm of a young man in order to reveal the mechanical behaviour of all skin layers. Using MRI images processing and a pre and post processor allows to make numerically individualized 2D model which consists of three skin layers and the muscles. FEA has been applied to simulate indentation tests. Neo-Hookean slightly compressible material model of two material constants (C(10), K) has been used to model the mechanical behaviour of the three skin layers and the muscles. The identification of material model parameters was done by applying Levenberg-Marquardt algorithm (LMA). Our methodology of identification provides a range of values for each constant. Range of values of different material properties of epidermis, dermis, hypodermis are respectively, C10(E)=0.12+/-0.06 MPa, C10(D)=1.11+/-0.09 MPa, C10(H)=0.42+/-0.05 KPa, K(E)=5.45+/-1.7 MPa, K(D)=29.6+/-1,28 MPa, K(H)=36.0+/-0.9 KPa.     

In vivo characterization of the mechanical properties of human skin derived from MRI and indentation techniques

The human skin is an exceedingly complex and multi-layered material. This paper aims to introduce the application of the finite element analysis (FEA) to the in vivo characterization of the non-linear mechanical behaviour of three human skin layers. Indentation tests combined with magnetic resonance imaging (MRI) technique have been performed on the left dorsal forearm of a young man in order to reveal the mechanical behaviour of all skin layers. Using MRI images processing and a pre and post processor allows to make numerically individualized 2D model which consists of three skin layers and the muscles. FEA has been applied to simulate indentation tests. Neo-Hookean slightly compressible material model of two material constants (C₁₀, K) has been used to model the mechanical behaviour of the three skin layers and the muscles. The identification of material model parameters was done by applying Levenberg–Marquardt algorithm (LMA). Our methodology of identification provides a range of values for each constant. Range of values of different material properties of epidermis, dermis, hypodermis are respectively, C10_E = 0.12 ± 0.06 MPa, C10_D = 1.11 ± 0.09 MPa, C10_H = 0.42 ± 0.05 KPa, K _E = 5.45 ± 1.7 MPa, K _D = 29.6 ± 1,28 MPa, K _H = 36.0 ± O.9 KPa.     

Dynamic measurement of single protein's mechanical properties

Dimerized (tandemly repeated) protein was constructed, and the stretching force during the unfolding of the single protein molecule was measured using an atomic force microscope. In quasistatic measurements using normal force-distance curve measurements, each monomer unit was unfolded step by step. To elucidate the conformational state at each extension length, we measured the relax-stress response of the protein using short stroke sinusoidal movements of the sample stage. This allowed us to investigate the dynamic response of the protein repeatedly without full stretching or rupturing. Although the protein molecule responded in-phase to the applied movement in most cases, we found a novel out-of-phase response around the stretching length where the second monomer unit unfolded. Applying the spring constant measured in the quasistatic experiment, the out-of-phase response was reproduced in the simple calculation, which suggested the folding and the unfolding at the second monomer unit were taking place repeatedly during the relax-stress response measurement.     

Tactile receptor discharge and mechanical properties of glabrous skin

Current knowledge of the functional properties of mammalian cutaneous mechanoreceptors is reviewed with special reference to receptors associated with the glabrous skin of the raccoon and squirrel monkey hand. Four physiologically defined mechanoreceptor types are recognized: Pacinian afferents, rapidly adapting (RA), and slowly adapting type I (SAI), and slowly adapting type II (SAII). The SAI category is divided into moderately slowly adapting and very slowly adapting (VSA) types in terms of the duration of their response to a prolonged mechanical displacement of skin. Although both RA and SA units are capable of signaling displacement ramp velocity, the pattern of discharge during ramp stimulation may vary widely among units. SAI units also code the depth of skin displacement, but there is no best-fitting function describing the relationship. Static discharge is also markedly influenced by prior ramp velocity. Both raccoon and squirrel monkey VSA units show wide variation in the regularity of their discharge during static displacement. The rate of adaptation of SAI units is less when constant force stimuli are applied to the skin than when constant displacement stimuli are applied. This is partly attributable to mechanical properties of the skin. When either constant force or constant displacement stimuli are spaced too closely in time, there is a progressive (trial-to-trial) decrement in response rate, accounted for in part by failure of the skin to recover to its initial resting level.     

The kinetic properties and reaction mechanism of histamine methyltransferase from human skin.

The substrate kinetic properties of histamine methyltransferase from human skin were studied at limiting concentrations of both histamine and S-adenosylmethionine. Substrate inhibition by histamine was observed at concentrations above 10 microM. Primary plots showed evidence of a sequential reaction mechanism. The Michaelis constants were derived from secondary plots of slopes from the primary plots ([S]/v versus [S]) versus reciprocal of the second substrate concentration. The mean Km values for histamine and S-adenosylmethionine were 4.2 and 1.8 microM respectively. Histamine in concentrations of 25-100 microM inhibited enzyme activity uncompetitively with respect to S-adenosylmethionine. No substrate inhibition was observed with S-adenosylmethionine. To elucidate the reaction mechanism further, inhibition by the two products, S-adenosylhomocysteine and 1-methylhistamine, was studied. S-Adenosylhomocysteine inhibited non-competitively with respect to histamine and competitively with respect to S-adenosylmethionine. 1-Methylhistamine inhibited non-competitively with respect to histamine and to S-adenosylmethionine. These results are interpreted as providing evidence for an ordered sequential Bi Bi reaction mechanism, with the methyl-group donor S-adenosylmethionine as the first substrate that adds to the enzyme and histamine as the second substrate. 1-Methylhistamine is the first product to leave the enzyme and S-adenosylhomocysteine is the second. The results are discussed in terms of the possible role that this enzyme could play in the modulation of histamine-mediated reactions in skin.     

Micromanipulation measurement of the mechanical properties of baker's yeast cells

The mechanical properties of a sample of baker's yeast cells were measured by micromanipulation. The relationship between the force required to burst a single cell and its corresponding diameter was established. For stationary phase cells, the compressive force required to burst a cell varied between 55 and 175N, with a mean value of 101 ± 2N. This is a substantial force compared to that required to burst a single mammalian cell (1.5–4.5N), which presumably reflects the lack of a cell wall of the latter. From measurements on 120 cells, there was no significant dependence of bursting force on yeast cell size. The micromanipulation method will be valuable for studying the dependence of mechanical properties of yeast cells on fermentation conditions, and the consequential effects of their behaviour in process disruption operations. © Rapid Science Ltd. 1998     

Three-dimensional geometrical and mechanical modelling of the lumbar spine.

The main objective of this study is to design a three-dimensional geometrical and mechanical finite element model of the lumbar spine. The model's geometry is constructed using six parameters per vertebra. These parameters are digitized from two X-rays (anterio-posterior and lateral), thus yielding an individualized model which can be arrived at from the radiographs of a tested specimen. This procedure makes the model validation easier, as geometry is generally a factor of dispersion in experimental results. The geometrical reconstruction, in the form of a finite elements mesh, was effected for the whole lumbar spine. The global coherence of the model was verified.