Inverse Parameter Fitting of Biological Tissues: A Response Surface Approach

Einstein, Daniel R.; Freed, Alan D.; Stander, Nielen; Fata, Bahar; Veselý, Ivan

doi:10.1007/s10439-005-8338-3

Cited by 26 publications

(31 citation statements)

References 17 publications

(27 reference statements)

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“…The combination of 3-D deformation measurements (Rastogi, 1999;Foster, 1978;Viotti et al, 2008;Matthys et al, 1991;Genovese, 2007Genovese, , 2009Sutton et al, 2007) and inverse approaches is now very common in solid mechanics but it is still under-employed for identifying the anisotropic hyperelastic properties of the arterial tissues (Seshaiyer and Humphrey, 2003;Einstein et al, 2005). Moreover, the virtual fields method (Gré diac et al, 2006), which is an inverse method specifically dedicated to full-field data, has never been used for the mechanical identification of arterial tissues although it has very relevant assets: insensitivity to the uncertainty of boundary conditions (Gré diac et al, 2006), robustness (Avril et al, 2004), fast convergence (Avril and Pierron, 2007).…”

Section: Introductionmentioning

confidence: 99%

Anisotropic and hyperelastic identification of in vitro human arteries from full-field optical measurements

Avril

Badel

Duprey

2010

Journal of Biomechanics

133

115

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In this paper, we present a new approach for the bi-axial characterization of in vitro human arteries and we prove its feasibility on an example. The specificity of the approach is that it can handle heterogeneous strain and stress distributions in arterial segments. From the full-field experimental data obtained in inflation/extension tests, an inverse approach, called the virtual fields method (VFM), is used for deriving the material parameters of the tested arterial segment. The obtained results are promising and the approach can effectively provide relevant values for the anisotropic hyperelastic properties of the tested sample.

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Section: Introductionmentioning

confidence: 99%

Anisotropic and hyperelastic identification of in vitro human arteries from full-field optical measurements

Avril

Badel

Duprey

2010

Journal of Biomechanics

133

115

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“…However, a small set of constitutive models can be used for the entire structure if their constants are tuned so that the mechanics of the individual finite elements represent the mechanics of tissue at the same location. In preparation for this project, we have developed an inverse method based on the response surface methodology (RSM) that can be coupled to whole tissue loading experiments 6 .…”

Section: (F) Implementation Of Inverse Methodsmentioning

confidence: 99%

Advanced Soft Tissue Modeling for Surgical Simulation and Telemedicine

Veselý¹

2006

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Public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing this collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing this burden to Department of Defense, Washington Headquarters Services, Directorate for Information Operations and Reports (0704-0188), 1215 Jefferson Davis Highway, Suite 1204, Arlington, VA 22202-4302. Respondents should be aware that notwithstanding any other provision of law, no person shall be subject to any penalty for failing to comply with a collection of information if it does not display a currently valid OMB control number. PLEASE DO NOT RETURN YOUR FORM TO THE ABOVE ADDRESS. REPORT DATE (DD-MM-YYYY) PERFORMING ORGANIZATION NAME(S) AND ADDRESS(ES) 8. PERFORMING ORGANIZATION REPORT NUMBERChildren's Hospital of Los Angeles Los Angeles, California 90027 SPONSORING / MONITORING AGENCY NAME(S) AND ADDRESS(ES) 10. SPONSOR/MONITOR'S ACRONYM(S) U.S. Army Medical Research and Materiel Command Fort Detrick, Maryland 21702-5012 SPONSOR/MONITOR'S REPORT NUMBER(S) DISTRIBUTION / AVAILABILITY STATEMENTApproved for Public Release; Distribution Unlimited SUPPLEMENTARY NOTES ABSTRACTThe objectives of this project were to develop computer based models of soft tissues that could eventually be integrated into virtual reality-based surgical simulators. To that end, we have developed a number of computer algorithms that span the scales from the microstructural to the phenomenological, and from 1-D to 3-D. For the 1-D case, we have developed a model of fractional order viscoelasticity. For the 3-D case, we have developed an invariant-based formulation of dispersed isotropy and implemented it in a model of blood vessel. Although the later employs as statistical measure of fiber dispersion, both a essentially phenomenological models. To implement tissue microstructure, we developed a micromechanical model based on the General Method of Cells. Through this model, we were able to model fiber-matrix interactions explicitly. These models are currently being validated and implemented into larger organ simulations.

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“…However, these approaches still need physical markers to be applied-something not entirely practical to do in patients. Einstein et al used an inverse modeling-based approach for mechanical characterization; however, the experimental data were obtained from ex vivo uniaxial and inflation testing setups (Einstein et al 2005), thus again necessitating excision of the tissue.…”

Section: Introductionmentioning

confidence: 99%

An inverse modeling approach for semilunar heart valve leaflet mechanics: exploitation of tissue structure

Aggarwal

Sacks

2015

Biomech Model Mechanobiol

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Determining the biomechanical behavior of heart valve leaflet tissues in a noninvasive manner remains an important clinical goal. While advances in 3D imaging modalities have made in vivo valve geometric data available, optimal methods to exploit such information in order to obtain functional information remain to be established. Herein we present and evaluate a novel leaflet shape-based framework to estimate the biomechanical behavior of heart valves from surface deformations by exploiting tissue structure. We determined accuracy levels using an "ideal" in vitro dataset, in which the leaflet geometry, strains, mechanical behavior, and fibrous structure were known to a high level of precision. By utilizing a simplified structural model for the leaflet mechanical behavior, we were able to limit the number of parameters to be determined per leaflet to only two. This approach allowed us to dramatically reduce the computational time and easily visualize the cost function to guide the minimization process. We determined that the image resolution and the number of available imaging frames were important components in the accuracy of our framework. Furthermore, our results suggest that it is possible to detect differences in fiber structure using our framework, thus allowing an opportunity to diagnose asymptomatic valve diseases and begin treatment at their early stages. Lastly, we observed good agreement of the final resulting stress-strain response when an averaged fiber architecture was used. This suggests that population-averaged fiber structural data may be sufficient for the application of the present framework to in vivo studies, although clearly much work remains to extend the present approach to in vivo problems.

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Inverse Parameter Fitting of Biological Tissues: A Response Surface Approach

Cited by 26 publications

References 17 publications

Anisotropic and hyperelastic identification of in vitro human arteries from full-field optical measurements

Anisotropic and hyperelastic identification of in vitro human arteries from full-field optical measurements

Advanced Soft Tissue Modeling for Surgical Simulation and Telemedicine

An inverse modeling approach for semilunar heart valve leaflet mechanics: exploitation of tissue structure

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