The tortuous fractal model simplifies to the bundle-of-tubes model when the tortuosity fractal dimension is equal to unity.
For dilute solutions, this model simplifies to the Frumkin Fowler Guggenheim (FFG) equation (Fowler and Guggenheim 1939; Frumkin 1925).
If subgrid convection can be neglected the proposed model simplifies to the well-known Partially Stirred Reactor (PaSR) model.
For our case, the 3-D model simplifies to a surface spherical shell of conductance S, underlain by a 1-D conductor.
Provided we initially consider the system to be in the lowest band, processes accessing higher Bloch bands are suppressed by a factor of the order or greater, and the master equation for the 1D model simplifies to: (1).
Under three limiting cases, the generalized Oldroyd-B model simplifies to Newtonian model, fractional Maxwell model and generalized second grade model, where all the explicit exact solutions for velocity distribution are found through the discrete Laplace transform of the sequential fractional derivatives.
When τ=0, the model simplifies to the so-called fixed-effect model [ 1, 2].
If π = 0, the zero-inflated negative binomial model simplifies to the negative binomial model.
Note that in the case of context-independent model frequencies, the model simplifies to the model in [ 1].
Now, the model simplifies to (19) The parameters in model 19 are: β,, π, μ and l because all other variables, such as and, are functions of these parameters, as specified through equations 14 and 15.
