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Two kinds of mathematical models, namely, power law and Mori-Tanaka models are considered.
The crux of this paper is on one type of data driven mathematical models, namely the use of fuzzy logic approach.
The complexity of cancer progression can manifests itself on at least three scales that can be described using mathematical models, namely microscopic, mesoscopic and macroscopic scales.
In this research, real continuous glucose monitoring (CGM) data was analyzed by three mathematical models, namely, a deterministic first-order differential equation model, a stochastic first-order differential equation model with Brownian motion, and a deterministic fractional-order model.
All the breakthrough curves acquired with various bed heights, flow rates and initial nitrate concentrations were fitted well to sigmoidal-type mathematical models, namely, Thomas and Yan and models (Fig. 10) and the adsorption capacity was calculated based on the fitting results (Table 5).
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We propose a new kind of mathematical model, namely, parepeatic model, to characterize partial repeatability quantitatively.
In the present study, we attempted to derive a novel empirical mathematical model, namely, a time-dependent diffusivity (TDD) model, that assumes the change in the drug's diffusion coefficient can be used to predict the drug release from spherical wax matrix particles.
Two scenarios for atmospheric dispersion relevant for consequence assessment associated with the loss of containment from carbon capture and storage related infrastructure were investigated using a physics-based mathematical model: namely, the leakage of carbon dioxide (CO2), which is a heavier-than-air (or, dense) gas, from storage tanks and transportation pipelines.
The quenching behavior of the biosensor fluorophores is described by a mathematical model, namely, the Stern-Volmer equation: (1) I 0 I = 1 + K sv × [ O 2 ], where [O2] is the oxygen concentration, Ksv is the fluorophore quenching constant, I is the normalized fluorescence intensity at [O2], and I0 is the normalized fluorescence intensity recorded at the reference condition (zero oxygen).
The mathematical modeling technique, namely softcomputing modeling approach, is explored and used as a platform for development and validated with generated random data.
In order to analyse the drug release mechanism from the micropellets the following mathematical models were studied, namely, zero-order model, first-order model, Higuchi model, and Hixson-Crowell model.
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