A quantitative comparison of soft tissue compressive viscoelastic model accuracy

Wang, Xin; Schoen, Jonathan A.; Rentschler, Mark E.

doi:10.1016/j.jmbbm.2013.01.007

Cited by 59 publications

(40 citation statements)

References 44 publications

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“…The Maxwell-Weichert element was thus constructed using two dissipative elements (dashpots) and three springs each having its own time constant. Incidentally, this result also matches with the available literature [24], where a five-parameter Maxwell-Weichert element was found to best represent the viscoelastic behavior of biological tissues.…”

Section: Discussionsupporting

confidence: 88%

Viscoelastic Characterization of the Primate Finger Pad In Vivo by Microstep Indentation and Three-Dimensional Finite Element Models for Tactile Sensation Studies

et al. 2015

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When we touch an object, surface loads imposed on the skin are transmitted to thousands of specialized nerve endings (mechanoreceptors) embedded within the skin. These mechanoreceptors transduce the mechanical signals imposed on them into a neural code of the incident stimuli, enabling us to feel the object. To understand the mechanisms of tactile sensation, it is critical to understand the relationship between the applied surface loads, mechanical state at the mechanoreceptor locations, and transduced neural codes. In this paper, we characterize the bulk viscoelastic properties of the primate finger pad and show its relationship to the dynamic firing rate of SA-1 mechanoreceptors. Two threedimensional (3D) finite element viscoelastic models, a homogeneous and a multilayer model, of the primate fingertip are developed and calibrated with data from a series of force responses to micro-indentation experiments on primate finger pads. We test these models for validation by simulating indentation with a line load and comparing surface deflection with data in the literature (Srinivasan, 1989, "Surface Deflection of Primate Fingertip Under Line Load," J. Biomech., 22(4), pp. 343-349). We show that a multilayer model with an elastic epidermis and viscoelastic core predicts both the spatial and temporal biomechanical response of the primate finger pad. Finally, to show the utility of the model, ramp and hold indentation with a flat plate is simulated. The multilayer model predicts the strain energy density at a mechanoreceptor location would decay at the same rate as the average dynamic firing rate of SA-1 mechanoreceptors in response to flat plate indentation (previously observed by Srinivasan and LaMotte, 1991 "Encoding of Shape in the Responses of Cutaneous Mechanoreceptors," Information Processing in the Somatosensory System (Wenner-Gren International Symposium Series), O. Franzen and J. Westman, eds., Macmillan Press, London, UK), suggesting that the rate of adaptation of SA-1 mechanoreceptors is governed by the viscoelastic nature of its surrounding tissue.

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Section: Discussionsupporting

confidence: 88%

Viscoelastic Characterization of the Primate Finger Pad In Vivo by Microstep Indentation and Three-Dimensional Finite Element Models for Tactile Sensation Studies

et al. 2015

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“…However, Lakes [10] pointed out that simple models composed by a small number of springs and dashpots must be used only with a pedagogic purpose, since real materials are not usually describable by these models. This statement have been confirmed by Wang et al [6] who have shown that by increasing the number of elements ones improves the accuracy of the rheological models applied to the modeling of living tissues.…”

Section: Introductionsupporting

confidence: 54%

“…In [6] this model is presented as one of the complex viscoelastic models with the capability of fitting experimental biologic data with higher accuracy than the SLS model.…”

Section: Viscoelastic Modelsmentioning

confidence: 99%

“…These rheological models have been widely used for modeling the behavior of several materials, such as concrete [1]. In [2,3] it is pointed out that living tissues behavior should be generally considered viscoelastic, and we can find in the literature applications of these models to the modeling of a broad set of living tissues [4][5][6]. There exists a particular interest in the modeling of the arterial wall behavior, motivated by the relevance of the Atherosclerotic Cardiovascular Disease (ACD) in the human death toll [7].…”

Section: Introductionmentioning

confidence: 99%

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Modeling the arterial wall mechanics using a novel high-order viscoelastic fractional element

Zerpa

Canelas

Sensale

et al. 2015

Applied Mathematical Modelling

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a b s t r a c tThe fractional viscoelastic models (FVMs) have provided promising results for modeling the behavior of complex materials such as polymers and living tissues. These viscoelastic models are composed by springs, dashpots and the fractional element called spring-pot. In this paper we prove that the accuracy of these models can be improved through the use of a modified version of the spring-pot element, called high-order spring-pot (HOSP).We describe and implement a numerical method for characterization of mechanical properties of FVMs. The method consists of minimizing the misfit among experimental measures of strains or stresses and the respective values predicted by the model. The method is validated by solving four numerical examples. In the first three examples the data is artificially generated using different models such as the Double Maxwell-arm Wiechert one. The characterization is performed using FVMs models including the traditional spring-pot element and the new HOSP element proposed in this article. In these examples we assume small strains and homogeneous material properties. In a final example the method is applied to the characterization of the mechanical properties of FVMs using stress-strain data obtained from in vitro ovine arterial wall measurements reported in the literature.The results obtained show that the proposed method properly determines the mechanical parameters even in presence of noise in the data. In addition, it is evident from the results that the proposed modification of the spring-pot element increases the accuracy of the FVMs models. The results obtained allow us to conclude that the FVMs can model better the behavior of complex materials when a HOSP element is included. In particular, it was shown that these models are appropriate for modeling the arterial wall mechanics with higher accuracy, as well as other materials with complex behavior.

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“…The liver was indented with a cylindrical indenter probe (2 mm diameter) beside each pin location -to avoid palpating tissue that had been pricked by the pin. The test was performed following a standard tissue compressive property measurement method [31]. The tissue was hydrated throughout the tests by spraying PBS on the surface prior to each indentation.…”

Section: B In Vivo Validationmentioning

confidence: 99%

Wireless Tissue Palpation for Intraoperative Detection of Lumps in the Soft Tissue

Beccani

Natali

Sliker

et al. 2014

IEEE Trans. Biomed. Eng.

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A quantitative comparison of soft tissue compressive viscoelastic model accuracy

Cited by 59 publications

References 44 publications

Viscoelastic Characterization of the Primate Finger Pad In Vivo by Microstep Indentation and Three-Dimensional Finite Element Models for Tactile Sensation Studies

Viscoelastic Characterization of the Primate Finger Pad In Vivo by Microstep Indentation and Three-Dimensional Finite Element Models for Tactile Sensation Studies

Modeling the arterial wall mechanics using a novel high-order viscoelastic fractional element

Wireless Tissue Palpation for Intraoperative Detection of Lumps in the Soft Tissue

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