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. Author manuscript; available in PMC: 2021 May 10.
Published in final edited form as: AAPS J. 2020 May 10;22(3):70. doi: 10.1208/s12248-020-00451-2

Table I.

Thermal Parameters and Thicknesses Used in Simulations for the TDS, Tissue Layers, and Blood

Parameter Units Model domain Blood
TDS SC VE DE Fata Musclea
ρ kg m−3 ρwater(T)b 1220c
1080d
1060e 1116f 850 1270 1060g
CP J kg−1 K−1 cPwater(T)b Eq. 7 Eq. 7 3800h 2300 3800 3800g
k W m−1 K−1 0.2967i Eq. 8 Eq. 8 0.53h 0.16 0.53
qmet W m−3 0 0 2000j 200h 5 800
ωk kg m−3 s−1 Table II 0.60 0.50
α × 107l m2 s−1 0.709 0.456c
0.456d
0.629 1.25 8.18E-08 1.10E-07
h × 103m m 0.10 0.0134c
0.0434d
0.080 1.50 2.00 6.80
h2/αn s 0.14 0.04c
0.04d
0.10 18.00 48.88 421.05
a

All fat and muscle values taken from (49)

b

Default water values as a function of temperature supplied by COMSOL

c

Partially hydrated SC (0.34 g water/g dry tissue) assuming ρSC(dry) = 1300 kg m−3 (37)

d

Fully hydrated SC (2.87 g water/g dry tissue) assuming ρSC(dry) = 1300 kg m−3 (37)

e

Authors’ estimate based on hydrated SC value

f

Value for full thickness guinea pig skin obtained by Morales et al. (57)

g

(58) as cited in (47)

h

(49)

i

Calculated for an Alza nicotine TDS of thickness 0.027 cm and thermal resistance 9.1 × 10−4 m2 K W−1 (59)

j

Estimated from the ratio of protein synthesis in epidermis and dermis under unstressed conditions (60)

k

Blood flow in SI units. ω is related to the commonly reported value Q [mL blood/(mL tissue·s)] according to Eq. 7

l

Thermal diffusivity at 32°C, calculated as k / ρcp

m

Layer thickness

n

Thermal time constant