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. Author manuscript; available in PMC: 2015 Jun 17.
Published in final edited form as: Comput Mech. 2014 Mar;53(3):413–435. doi: 10.1007/s00466-013-0962-4

Table 1.

Estimated interfacial rheological properties of the encapsulation of Sonzaoid and PLA microbubble for different interfacial models

Interfacial Model Sonazoid® PLA Microbubbles
Newtonian Model (NM) γ = 0.60 ± 0.14 N/m
κs = 1.0 ± 0.004 × 10−8 N · s/m
γ = 0.06 ± 0.03 N/m
κs = 6.0 ± 3.5 × 10−9 N · s/m
Constant Elasticity Model (CEM) γ0 = 0.02 N/m
Es = 0.51 ± 0.11 N/m
κs = 1.0 ± 0.004 × 10−8 N · s/m
γ0 = 0.01 ± 0.006 N/m
Es = 0.05 ± 0.03 N/m
κs = 6.0 ± 3.5 × 10−9 N · s/m
Exponential Elasticity Model (EEM) γ0 = 0.02 N/m
Es = 0.55 ± 0.10 N/m
κs = 1.2 ± 0.40 × 10−8 N · s/m
α = 1.5
γ0 = 0.01 ± 0.006 N/m
E0s=0.05±0.03N/m
κs = 6.0 ± 3.5 × 10−9 N · s/m
α = 1.5
Marmottant Model (MM) γ0 = 0.0 N/m (i.e. Rbuckling = R0)
χ = 0.53 ± 0.10 N/m
κs = 1.2 ± 0.40 × 10−8 N · s/m
Rbreak-up = 1.5Rbuckling
γ0 = 0.0 N/m (i.e. Rbuckling = R0)
χ = 0.06 ± 0.02 N/m
κs = 6.0 ± 3.5 × 10−8 N · s/m
Rbreak-up = 1.5Rbuckling