TY - JOUR
T1 - Simple empirical model for identifying rheological properties of soft biological tissues
AU - Kobayashi, Yo
AU - Tsukune, Mariko
AU - Miyashita, Tomoyuki
AU - Fujie, Masakatsu G.
N1 - Funding Information:
This work was supported in part by the Japan Science and Technology Agency (JST) Precursory Research for Embryonic Science and Technology (PRESTO), Japan; in part by the Global Centers of Excellence (GCOE) Program and Grants for Excellent Graduate Schools, Japan; and in part by a Grant-in-Aid for Scientific Research from the Ministry of Education, Culture, Sports, Science and Technology (MEXT) (Grant No. 25350577), Japan.
Publisher Copyright:
© 2017 American Physical Society.
PY - 2017/2/28
Y1 - 2017/2/28
N2 - Understanding the rheological properties of soft biological tissue is a key issue for mechanical systems used in the health care field. We propose a simple empirical model using fractional dynamics and exponential nonlinearity (FDEN) to identify the rheological properties of soft biological tissue. The model is derived from detailed material measurements using samples isolated from porcine liver. We conducted dynamic viscoelastic and creep tests on liver samples using a plate-plate rheometer. The experimental results indicated that biological tissue has specific properties: (i) power law increase in the storage elastic modulus and the loss elastic modulus of the same slope; (ii) power law compliance (gain) decrease and constant phase delay in the frequency domain; (iii) power law dependence between time and strain relationships in the time domain; and (iv) linear dependence in the low strain range and exponential law dependence in the high strain range between stress-strain relationships. Our simple FDEN model uses only three dependent parameters and represents the specific properties of soft biological tissue.
AB - Understanding the rheological properties of soft biological tissue is a key issue for mechanical systems used in the health care field. We propose a simple empirical model using fractional dynamics and exponential nonlinearity (FDEN) to identify the rheological properties of soft biological tissue. The model is derived from detailed material measurements using samples isolated from porcine liver. We conducted dynamic viscoelastic and creep tests on liver samples using a plate-plate rheometer. The experimental results indicated that biological tissue has specific properties: (i) power law increase in the storage elastic modulus and the loss elastic modulus of the same slope; (ii) power law compliance (gain) decrease and constant phase delay in the frequency domain; (iii) power law dependence between time and strain relationships in the time domain; and (iv) linear dependence in the low strain range and exponential law dependence in the high strain range between stress-strain relationships. Our simple FDEN model uses only three dependent parameters and represents the specific properties of soft biological tissue.
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U2 - 10.1103/PhysRevE.95.022418
DO - 10.1103/PhysRevE.95.022418
M3 - Article
C2 - 28297883
AN - SCOPUS:85014358623
VL - 95
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
SN - 1063-651X
IS - 2
M1 - 022418
ER -