Table 1. Parameters used in the macroscopic kinetics equations for several photosensitizers.

Symbol (unit)	Definition 12
k0 (1/s)	Photon absorption rate of photosensitizer per photosensitizer concentration, k0 = ɛφ/hν, φ is the light fluence rate
k1 (1/s/μM)	Bimolecular rate for 1O2 reaction with ground-state photosensitizer
k2 (1/s/μM)	Bimolecular rate of triplet photosensitizer quenching by 3O2
k3 (1/s)	Decay rate of first excited singlet state photosensitizer to ground state photosensitizer
k4 (1/s)	Rate of monomolecular decay of the photosensitizer triplet state
k5 (1/s)	Decay Rate of first excited state photosensitizer to triplet state photosensitizer
k6 (1/s)	1O2 to 3O2 decay rate
k7 (1/s/μM)	Bimolecular rate of reaction of 1O2 with biological substrate [A]

Symbol	Definition	Value	References
SΔ(k5/(k5+k3))	Singlet oxygen quantum yield	Photofrin, ALA-PPIX: 0.56 mTHPC: 0.65 BPD: 0.76 HPPH: 0.48	13 13 13 14
δ(μM)	Low concentration correction	Photofrin, ALA-PPIX: 33 mTHPC: 33 BPD: 33 HPPH: 33	15 15 15 15
ɛ (cm/μM)	Extinction coefficient of photosensitizer	Photofrin, ALA-PPIX (630nm): 0.0035 mTHPC (650 nm): 0.048 BPD (690 nm): 0.034 HPPH (665 nm): 0.047	13 16 17 14
ξ (cm2 mW-1 s-1)	$$S_{\Delta }\left(\frac{k_5}{k_5+k_3}\right)\frac{\varepsilon }{h\nu }\frac{k_7[A]/k_6}{k_7[A]/k_6+1}$$	Photofrin: 3.7 × 10-3 Photofrin: (2.9±0.8) × 10-3 mTHPC: 30 × 10-3 ALA-PpIX: 3.7 × 10-3 BPD: (25 ± 11) × 10-3 HPPH: (33 ± 3) × 10-3	18,19 fitted value 18 ** fitted value fitted value
δ (μM-1)	k1/k7[A]	Photofrin: 7.6 × 10-5 Photofrin: (8.4±0.8) × 10-5 mTHPC: 2.97 × 10-5 ALA-PpIX: 9 × 10-5 BPD: (1.8±0.8) × 10-5 HPPH: (1.0±0.2) × 10-5	19 fitted value 18 20 fitted value fitted value
g (μM/s)	Macroscopic oxygen max perfusion rate	Photofrin: 0.76 Photofrin: 0.71±0.06 BPD: 1.32±0.7 HPPH: 1.3±0.4	21 fitted value fitted value fitted value
β(μM)	k4/k2	Photofrin, ALA-PPIX*: 11.9 mTHPC: 8.7 BPD: 11.9 HPPH: 11.9	19 18 * *

^*These photochemical parameters are currently not available in the literature; we have taken the value of Photofrin.

^**The parameter ξ are obtained using the study of Georgakoudi et al.¹⁹ and Mitra et al.¹⁸ from tumor spheroid studies, where ξ equals to β_PDT/[S₀], β_PDT is a proportional constant between photochemical oxygen consumption rate and the fluence rate.¹⁸ ξ is either calculated according to the β_PDT value from the literature ^18,19,22 or based on the current mouse studies (fitted value).