Temperature dependent catalyst deactivation model.

Deferential form	Integral form	Catalyst	TOS	Reactor type	Reaction	Reference
nta	a = e−αtos	FCC catalyst	90 s	Fixed bed reactor	VGO catalytic cracking	Ebrahimi et al.18
		FCC catalyst	nta	Fixed and fluidized bed	VGO pyrolysis	Naik et al.43
nta	a = (1 − kdt)	Pt/Al2O3	nta	Fixed bed reactor	Dehydrogenation methylcyclohexane	Usman et al.69
	a = e−kdt	Pt–Sn/Al2O3	100 h	Fixed bed reactor	Propane dehydrogenation	Zangeneh et al.44
		nta	10–10000 h	Packed-bed reactor	Hydrogenation of CO2	Sun et al.45
		FCC catalyst	2–10 s	FCC reactor	Vacuum gas oil (VGO) catalytic cracking	Sani et al.46
		TS-1/SiO2	1–24 h	Fixed-bed reactor	Epoxidation of allyl chloride with hydrogen peroxide	Lin et al.47
		nta	nta	Fixed-bed reactor	Ethanol dehydration	Demuner et al.48
		Pt/Al2O3	1225 day	Fixed bed reactor	Heavy naphtha reforming	Shakor et al.20
		Pd–Ag/a-Al2O3	120 h	Fixed bed reactor	Selective hydrogenation of acetylene to ethylene	Ravanchi et al.49
		Cu/AC	12 h	Fixed bed reactor	Acetylene hydrochlorination	Xu et al.70
nta		NiMo/Al2O3	0–550 h	Continuous stirred tank basket reactor (CSTBR)	Hydrocracking of heavy oil	Martínez and Ancheyta67
		H2O2 with TS-1/SiO2	0–50 h	Fixed-bed reactor	Liquid phase propylene epoxidation	Feng et al.71
		Nanocrystalline zeolite beta	0–6 h	Fixed-bed micro-reactor	Catalytic cracking of used palm oil	Taufiqurrahmi et al.72
		Pd/carbon	0–400	Fixed bed reactor	Crude terephthalic acid hydro-purification	Li et al.73
		Ni–Al oxide	0–165 h	Fixed bed reactors	CO2 methanation	Ewald et al.65
		brewer's spent yeast (BSY)	120 min	Batch reactor	Biodiesel production from FFA	Arumugamurthy et al.66
		Ni based catalyst	0–900 day	Membrane reformer	Methane reforming	Jokar et al.74
		Ni/Al2O3	0–100 h	Fixed bed reactors	CO2 methanation	Morosanu et al.75
		HY-zeolites	5 min	Packed bed reactor	Dehydration of glycerol to acrolein	Pala-Rosas et al.76
	nta	SBA-15	500 min	Fixed bed reactor	Methane decomposition	Chen and Lua50
	nta	Pt/Al2O3	0–350 h	nta	nta	Bartholomew51
	a = a∞ + (1 − a∞)e−kdt	Cobalt based catalyst	0–1000 h	Bubble-column reactor	Fischer–Tropsch	Argyle et al.52
		Chiral	0–242.2 h	Batch reactor	Hydrogenation of acetophenone	Ruelas-Leyva & Fuentes53
		Fe/Al2O3	0–1300 h	Slurry bubble column reactor	Fischer–Tropsch	Ghofran et al.54
	nta	CuO/ZnO/Al2O3	nta	nta	nta	Honken56
	nta	Pt/Re/Al2O3	0–800 day	Spherical packed-bed reactor	Naphtha reforming	Rahimpour et al.64
	nta	Pt/Re/Al2O3	0–800 day	Spherical packed-bed reactor	Naphtha reforming	Iranshahi et al.68

^aNot reported.