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A model based on diffusion equation, in the framework of a linear theory, has been proposed and compared to experimental evidences.
In this approach, the noises of acceleration signal are removed through a smoothing process based on diffusion equation, a special partial differential equation (PDE).
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The model is based on diffusion equations containing a non-linear term related to Michaelis Menten kinetics of the enzymatic reaction.
The signals through the MDP and the GJP are modeled independently based on diffusion equations.
The major technical innovations are: 1) Real odor landscapes can be calculated based on diffusion equations with sufficient accuracy to extract real odor dynamics for a moving maggot.
To model biological vision more accurately, it would, however, be more appropriate to express a corresponding model based on a spherical camera geometry with a spherical image surface, which will lead to a scale-space concept based on diffusion equations on a sphere.
Sparked in part by such data and armed with a mathematical approach based on diffusion equations to derive theoretical arguments, this soon led Kimura to develop the neutral theory of molecular evolution (Kimura 1968), a model positing that genetic drift of neutral alleles is an important driving force in evolution.
In this study, a coupled flood model based on diffusion wave equations was proposed to simulate one-dimensional sewer flow and two-dimensional overland flow simultaneously.
Compared with the method based on diffusion approximation [ 15, 2], mathematically it is described as stochastic differential equations.
Overall, the image reconstruction involves three major steps: First, a forward model is selected to solve light propagation distribution in tissues based on the diffusion equation or radiative transport equation.
The experimental results for the diffusion of Al into the substrate were compared with model predictions based on a diffusion equation for a finite layer on an infinite substrate.
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