Numerical simulation of soft tissue mechanical properties is a critical step in developing valuable biomechanical models of live organisms. A cubic Hermitian spline optimization routine is proposed in this paper to model nonlinear experimental force-elongation curves of soft tissues, in particular when modeled as lumped elements. Boundary conditions are introduced to account for the positive definiteness and the particular curvature of the experimental curve to be fitted. The constrained least-square routine minimizes user intervention and optimizes fitting of the experimental data across the whole fitting range. The routine provides coefficients of a Hermitian spline or corresponding knots that are compatible with a number of constraints that are suitable for modeling soft tissue tensile curves. These coefficients or knots may become inputs to user-defined component properties of various modeling software. Splines are particularly advantageous over the well-known exponential model to account for the traction curve flatness at low elongations and to allow for more flexibility in the fitting process. This is desirable as soft tissue models begin to include more complex physical phenomena.
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e-mail: Denis.Rancourt@usherbrooke.ca
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September 2011
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Hermitian Splines for Modeling Biological Soft Tissue Systems That Exhibit Nonlinear Force-Elongation Curves
F. Martel,
F. Martel
Groupe de recherche en performance et sécurité humaine de l′Université de Sherbrooke
, Université de Sherbrooke,2500 Boul. de l’Université, Sherbrooke, QC, Canada
, J1K 2R1
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M. Denninger,
M. Denninger
Groupe de recherche en performance et sécurité humaine de l′Université de Sherbrooke
, Université de Sherbrooke,2500 Boul. de l’Université, Sherbrooke, QC, Canada
, J1K 2R1
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E. Langelier,
E. Langelier
Groupe de recherche en performance et sécurité humaine de l′Université de Sherbrooke
, Université de Sherbrooke,2500 Boul. de l’Université, Sherbrooke, QC, Canada
, J1K 2R1
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M-C. Turcotte,
M-C. Turcotte
Groupe de recherche en performance et sécurité humaine de l′Université de Sherbrooke
, Université de Sherbrooke,2500 Boul. de l’Université, Sherbrooke, QC, Canada
, J1K 2R1
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D. Rancourt
e-mail: Denis.Rancourt@usherbrooke.ca
D. Rancourt
Groupe de recherche en performance et sécurité humaine de l′Université de Sherbrooke
, Université de Sherbrooke,2500 Boul. de l’Université, Sherbrooke, QC, Canada
, J1K 2R1
Search for other works by this author on:
F. Martel
Groupe de recherche en performance et sécurité humaine de l′Université de Sherbrooke
, Université de Sherbrooke,2500 Boul. de l’Université, Sherbrooke, QC, Canada
, J1K 2R1
M. Denninger
Groupe de recherche en performance et sécurité humaine de l′Université de Sherbrooke
, Université de Sherbrooke,2500 Boul. de l’Université, Sherbrooke, QC, Canada
, J1K 2R1
E. Langelier
Groupe de recherche en performance et sécurité humaine de l′Université de Sherbrooke
, Université de Sherbrooke,2500 Boul. de l’Université, Sherbrooke, QC, Canada
, J1K 2R1
M-C. Turcotte
Groupe de recherche en performance et sécurité humaine de l′Université de Sherbrooke
, Université de Sherbrooke,2500 Boul. de l’Université, Sherbrooke, QC, Canada
, J1K 2R1
D. Rancourt
Groupe de recherche en performance et sécurité humaine de l′Université de Sherbrooke
, Université de Sherbrooke,2500 Boul. de l’Université, Sherbrooke, QC, Canada
, J1K 2R1e-mail: Denis.Rancourt@usherbrooke.ca
J Biomech Eng. Sep 2011, 133(9): 094505 (5 pages)
Published Online: October 11, 2011
Article history
Received:
July 20, 2011
Accepted:
August 26, 2011
Online:
October 11, 2011
Published:
October 11, 2011
Citation
Martel, F., Denninger, M., Langelier, E., Turcotte, M., and Rancourt, D. (October 11, 2011). "Hermitian Splines for Modeling Biological Soft Tissue Systems That Exhibit Nonlinear Force-Elongation Curves." ASME. J Biomech Eng. September 2011; 133(9): 094505. https://doi.org/10.1115/1.4004949
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