Table 4. List of Some Noteworthy Models Developed on the Deactivation of the Carbon-Based Catalyst during the CDM Reaction.

models	catalysts	modeled parameters	refs
a 3D coupled mathematical model for microwave-assisted thermocatalytic decomposition of methane	activated carbon	temperature distribution and concentration profiles for CH4 and H2 in the catalyst bed	(159)
global rate model for a kinetic study in a solar-driven thermogravimetric reactor	activated carbon and carbon black	methane cracking rate and reaction deactivation rate	(160)
two-phase and three-phase models for a bubbling fluidized bed and one-parameter and multiparameter models for a turbulent fluidized bed reactor (FBR)	activated carbon	reactor geometry for H2 and C formation for scale-up of FBR	(161)
artificial neural network modeling based on Bayesian regularization and Levenberg–Marquardt-trained multilayer perceptron	carbon particles	studying the influence of reaction parameters on the catalyst synthesis and H2 generation	(162)
full factorial and ANOVA-based quadratic model	activated carbon	influence of reaction partial pressure, temperature, and catalyst weight on the initial rate of reaction	(163)
Dsmoke and plug-flow reactor model	carbon black	investigating gas emission with respect to the residence time	(164)
a mathematical model for a continually stirred tank model	graphite	H2 production rate and corresponding turnover cost based on reaction conditions	(120)
quadratic RCH4 model as a function of the time of decay and the reaction temperature	activated carbon	catalyst deactivation concerning textural properties, relative time, and reaction temperature	(163)