Abstract
We present a material model to represent the viscoelastic and material, nonlinear properties of liver tissue for needle insertion simulation. Material properties of liver tissue were measured using a rheometer and modeled from the measured data. The liver viscoelastic characteristics were represented by differential equations, including the fractional derivative term. Next, nonlinearity with respect to the fractional derivative was measured, and the stress-strain relationship using a cubic function was modeled. The material properties of liver tissue were represented by a simple equation with only a few parameters. We evaluated the variety of each stiffness parameter from measurements of 50 samples. The results showed a high degree of variation in each stiffness parameter, especially with respect to nonlinearity. Moreover, each parameter had a low correlation coefficient. We also modeled the probability of variation in material properties from these results to provide a basis for deformation simulations considering individual patient differences.
| Original language | English |
|---|---|
| Pages (from-to) | 177-187 |
| Number of pages | 11 |
| Journal | Journal of Biomechanical Science and Engineering |
| Volume | 7 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2012 |
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Keywords
- Liver
- Material properties
- Nonlinearity
- Stress-strain relationship
- Viscoelasticity
ASJC Scopus subject areas
- Biomedical Engineering
Cite this
Modeling of viscoelastic and nonlinear material properties of liver tissue using fractional calculations. / Kobayashi, Yo; Kato, Atsushi; Watanabe, Hiroki; Hoshi, Takeharu; Kawamura, Kazuya; Fujie, Masakatsu G.
In: Journal of Biomechanical Science and Engineering, Vol. 7, No. 2, 2012, p. 177-187.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Modeling of viscoelastic and nonlinear material properties of liver tissue using fractional calculations
AU - Kobayashi, Yo
AU - Kato, Atsushi
AU - Watanabe, Hiroki
AU - Hoshi, Takeharu
AU - Kawamura, Kazuya
AU - Fujie, Masakatsu G.
PY - 2012
Y1 - 2012
N2 - We present a material model to represent the viscoelastic and material, nonlinear properties of liver tissue for needle insertion simulation. Material properties of liver tissue were measured using a rheometer and modeled from the measured data. The liver viscoelastic characteristics were represented by differential equations, including the fractional derivative term. Next, nonlinearity with respect to the fractional derivative was measured, and the stress-strain relationship using a cubic function was modeled. The material properties of liver tissue were represented by a simple equation with only a few parameters. We evaluated the variety of each stiffness parameter from measurements of 50 samples. The results showed a high degree of variation in each stiffness parameter, especially with respect to nonlinearity. Moreover, each parameter had a low correlation coefficient. We also modeled the probability of variation in material properties from these results to provide a basis for deformation simulations considering individual patient differences.
AB - We present a material model to represent the viscoelastic and material, nonlinear properties of liver tissue for needle insertion simulation. Material properties of liver tissue were measured using a rheometer and modeled from the measured data. The liver viscoelastic characteristics were represented by differential equations, including the fractional derivative term. Next, nonlinearity with respect to the fractional derivative was measured, and the stress-strain relationship using a cubic function was modeled. The material properties of liver tissue were represented by a simple equation with only a few parameters. We evaluated the variety of each stiffness parameter from measurements of 50 samples. The results showed a high degree of variation in each stiffness parameter, especially with respect to nonlinearity. Moreover, each parameter had a low correlation coefficient. We also modeled the probability of variation in material properties from these results to provide a basis for deformation simulations considering individual patient differences.
KW - Liver
KW - Material properties
KW - Nonlinearity
KW - Stress-strain relationship
KW - Viscoelasticity
UR - http://www.scopus.com/inward/record.url?scp=84866489624&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84866489624&partnerID=8YFLogxK
U2 - 10.1299/jbse.7.177
DO - 10.1299/jbse.7.177
M3 - Article
AN - SCOPUS:84866489624
VL - 7
SP - 177
EP - 187
JO - Journal of Biomechanical Science and Engineering
JF - Journal of Biomechanical Science and Engineering
SN - 1880-9863
IS - 2
ER -