Table 1.

BLISS model parameterization.

Parameter	Description	Value	Source
$P_{sc}^{max}$	Growth capacity of stem cells	4.5 × 103 mm−2	Zhang et al., 2015
γ1hom	Minimal stem cell self-proliferation rate constant	3.30 × 10−3 d−1	Zhang et al., 2015
k1shom	Minimal symmetric healthy stem cell division rate constant	1.64 × 10−3 d−1	Clayton et al., 2007; Zhang et al., 2015
k1ahom	Minimal asymmetric healthy stem cell division rate constant	1.31 × 10−2 d−1	Clayton et al., 2007; Zhang et al., 2015
γ2h	Healthy transit amplifying cells self-proliferation rate constant	1.40 × 10−2 d−1	Bauer et al., 2001; Hoath and Leahy, 2003; Zhang et al., 2015
k2sh	Healthy transit amplifying cells symmetric division rate constant	1.73 × 10−2 d−1	Bauer et al., 2001; Hoath and Leahy, 2003; Zhang et al., 2015
k2ah	Healthy transit amplifying cells asymmetric division rate constant	1.38 × 10−1 d−1	Bauer et al., 2001; Hoath and Leahy, 2003; Zhang et al., 2015
k3h	Healthy growth arrested to spinous cells differentiation rate constant	2.16 × 10−1 d−1	Bauer et al., 2001; Hoath and Leahy, 2003; Zhang et al., 2015
k4h	Healthy spinous to granular cells differentiation rate constant	5.56 × 10−2 d−1	Bauer et al., 2001; Hoath and Leahy, 2003; Zhang et al., 2015
k5h	Healthy granular cells to corneocytes differentiation rate constant	1.11 × 10−1 d−1	Bauer et al., 2001; Hoath and Leahy, 2003; Zhang et al., 2015
k−1h	Back conversion rate constant of healthy cells (transit amplifying to stem cells)	1.00 × 10−6 d−1	Zhang et al., 2015
k−2h	Back conversion rate constant of healthy cells (growth arrested to transit amplifying cells)	1.00 × 10−6 d−1	Zhang et al., 2015
ω	Maximum fold increase of stem cells proliferation rate	100	Heenen et al., 1998; Zhang et al., 2015
n	Stem cells proliferation rate regulation by transit amplifying cells	3	Zhang et al., 2015
AIh	Epidermal apoptosis index for healthy skin	0.12%	Bauer et al., 2001; Hoath and Leahy, 2003; Zhang et al., 2015
β1h	Apoptosis rate of healthy epidermal stem cells	1.97 × 10−6 d−1	Calculated as described by Equation 16
β2h	Apoptosis rate of healthy transit amplifying cells	2.08 × 10−5 d−1	Calculated as described by Equation 16
β3h	Apoptosis rate of healthy growth arrested cells	2.60 × 10−4 d−1	Calculated as described by Equation 16
β4h	Apoptosis rate of healthy spinous cells	6.68 × 10−5 d−1	Calculated as described by equation 16
β5h	Apoptosis rate of healthy granular cells	1.33 × 10−4 d−1	Calculated as described by Equation 16
αh	Healthy corneocytes desquamation rate constant	7.14 × 10−2 d−1	Weinstein et al., 1985; Bauer et al., 2001; Hoath and Leahy, 2003; Zhang et al., 2015
ρsc	Fold change of stem cells proliferation in psoriasis	4	Weinstein et al., 1985; Zhang et al., 2015
ρta	Fold change of transit amplifying cells proliferation in psoriasis	4	Weinstein et al., 1985; Zhang et al., 2015
ρtr	Fold change of psoriatic cells transit rate	5	Weatherhead et al., 2011; Zhang et al., 2015
ρde	Fold change of psoriatic corneocytes desquamation	4	Weinstein and Van Scott, 1965; Zhang et al., 2015
λ	Fold change of stem cells growth capacity in psoriasis	3.5	Heenen et al., 1987; Simonart et al., 2010; Zhang et al., 2015
Kp	Maximum immune response rate	6	Zhang et al., 2015
Ka	Half-activation of immune system by psoriatic stem cells density	380	Zhang et al., 2015
γ1d	Diseased stem cell self-proliferation rate constant	1.16 × 10−2 d−1	Calculated as the product of γ1hom and ρsc
k1sd	Symmetric diseased stem cell division rate constant	5.70 × 10−3 d−1	Calculated as the product of k1shom and ρsc
k1ad	Asymmetric diseased stem cell division rate constant	4.59 × 10−2 d−1	Calculated as the product of k1shom and ρsc
γ2d	Diseased transit amplifying cells self-proliferation rate constant	4.90 × 10−2	Calculated as the product of γ2h and ρta
k2sd	Diseased transit amplifying cells symmetric division rate constant	6.06 × 10−2 d−1	Calculated as the product of k2sh and ρta
k2ad	Diseased transit amplifying cells asymmetric division rate constant	4.83 × 10−1 d−1	Calculated as the product of k2ah and ρta
k3d	Diseased growth arrested to spinous cells differentiation rate constant	9.72 × 10−1 d−1	Calculated as the product of k3h and ρtr
k4d	Diseased spinous to granular cells differentiation rate constant	2.50 × 10−1 d−1	Calculated as the product of k4h and ρtr
k5d	Diseased granular cells to corneocytes differentiation rate constant	3.89 × 10−1 d−1	Calculated as the product of k5h and ρtr
AId	Epidermal apoptosis index for psoriatic skin	0.035%	Bauer et al., 2001; Hoath and Leahy, 2003; Zhang et al., 2015
β1d	Apoptosis rate of diseased epidermal stem cells	2.01 × 10−6 d−1	Calculated as described by Equation 17
β2d	Apoptosis rate of diseased transit amplifying cells	2.12 × 10−5 d−1	Calculated as described by Equation 17
β3d	Apoptosis rate of diseased growth arrested cells	3.40 × 10−4 d−1	Calculated as described by Equation 17
β4d	Apoptosis rate of diseased spinous cells	8.76 × 10−5 d−1	Calculated as described by Equation 17
β5d	Apoptosis rate of diseased granular cells	1.36 × 10−4 d−1	Calculated as described by Equation 17
αd	Diseased corneocytes desquamation rate constant	2.50 × 10−1 d−1	Calculated as the product of αh and ρde
aγ	Blue light coefficient for proliferation factor	1	Estimated from Liebmann et al., 2010
bγ	Blue light coefficient for proliferation factor	−3.40 × 10−3	Estimated from Liebmann et al., 2010
ak	Blue light coefficient for differentiation factor	2.46	Estimated from Liebmann et al., 2010
bk	Blue light coefficient for differentiation factor	1.94 × 10−2	Estimated from Liebmann et al., 2010
ck	Blue light coefficient for differentiation factor	3.46	Estimated from Liebmann et al., 2010
θBL β500−750	Blue light factor increasing the apoptosis rate at fluences higher than 500 Jcm−2 and lower than 750 Jcm−2	3.9 × 10−2	Awakowicz et al., 2009
θBL β>750	Blue light factor increasing the apoptosis rate at fluences higher than 750 Jcm−2	5 × 10−2	Awakowicz et al., 2009
ξabs	Energy absorbance of the epidermis for a low perfused Caucasian skin	57.9%	Calculated from optical model