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. Author manuscript; available in PMC: 2015 Nov 21.
Published in final edited form as: Phys Med Biol. 2014 Oct 20;59(22):6775–6795. doi: 10.1088/0031-9155/59/22/6775

Table 1.

Simulation parameters. Literature sources are noted.

Variable [Unit] Description Normal Value Tumor Value
Bioheat Equation, Eq. (11), (12)
ρ [kg/m3] Tissue densitya 1050 1050
C[J kg−1K−1] Tissue heat capacitya 3600 3600
k[W m−1K−1] Thermal conductivitya 1.0 (0.7) 1.0
ωb[s−1] Perfusion ratea 0.006(0.007) 0.006
Tb[°C] Blood temperature 37 37

Ultrasound Treatment Parameters Eq. (12)

Ptap[W] Acoustic powera 12 12
αz[m−1] Ultrasound absorptiona 2.6 2.6
σR[mm] Beam waist half-widtha
1.13(=1.62)
1.13
σz[mm] Focal spot half-lengtha
5.27(=71.5σR)
5.27

Fluid Transfer Equation, Eqs. (1)(3), (6)

Tc[°C] Transition temperatureb 49 49
λ,μ [mmHg] Lamé coefficientsc 684, 15.2 684, 15.2
H0[mmHg] Aggregate modulus 714 (= λ + 2μ) 714
f = −ΔH/H0 Fractional change in H 0.53 0.53
K[cmmmHgs]
Fluid conductivityd 2.5× 10−7 2.5× 10−7
Lp[cmmmHgs]
Filtration coefficientd 3.6 × 10−8 1.86 × 10−6
S/V[cm−1] Vascular surface densityd 100 [50–250] 100 [50–250]
α[1mmHgs]
Effective filtrationd 3.6 × 10−6 1.86 × 10−4
σ Osmotic reflection (BSA)d 0.91 8.7× 10−5
πv, πi [mmHg] Osmotic pressuresd 20, 10 19.8, 17.3
PSS[mmHg] Steady state IFP 1.0 10
ϕ0 Volume fraction of fluide 0.13–0.3 0.35–0.55

Solute Transport Equation, Eqs. (4), (5), (9)

D [cm2/s] Solute diffusivityf 4.8 × 10−10 1.3 × 10−8
rF Convection efficiency 1.0 1.0
ζeff [cm/s] Effective permeabilityf 7.3 × 10−8 5.73 × 10−7
Σ Effective solute reflection 0.9 0.0001
τp[hr] Solute plasma half-lifef 72 72
a

Data taken from O’Neill et al (2012)

b

Data taken from O’Neill et al (2013)

c

Data taken from Netti et al (1997)

d

Data taken from Jain et al (2007)

e

Data taken Jain (1987)

f

Data taken from Baxter and Jain RK (1989)