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In this section, we show how to transform the diffusion models from relying on data relative to the global coordinate system to data relative to localized coordinate systems.
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This model transforms the diffusion process into the information theory measure of stochastic event completion time to get the distribution of the Mg2+ departure events.
To reduce computational overhead we transform the different diffusion and molecular interactions within a cell from the thermodynamic energy based fields to the information theory field by suitable abstraction of the energy field profiles into selected statistical distributions.
The new process deploys a precomputed orientation field to transform the Coherence-enhancing diffusion process into that of linear oriented diffusion process [39], much more robust to the extremely noisy situations.
After that, we applied the inverse linear and non-linear transformations to transform the ROIs into the individual diffusion space.
The inverse of the transformation matrices were then used to transform the binary cortical ROIs into diffusion space for use in the tractography analysis.
Transforming from the diffusion to the natural scale, we therefore define an invasion-effective migration rate as m e = m m + r − b r, (19 which, for small m, is approximately m ˜ e = m (1 − b r ) (20).
We use diffusion kernel to capture and transform the protein protein interaction information (Lee et al., 2005).
In the presented model Laplace transform for diffusion equation is used, the solution is transformed to the form of continued fractions and the resulting expression is truncated to obtain such a number of terms that ensures the required accuracy.
A solvent then removes the more soluble sections, before the silicon chip is subjected to a subsequent process, such as etching or dopant diffusion, which transforms the silicon wherever the photoresist is absent, creating patterns on the chip.
As γ changes from 0 to 2, the process transforms from slow diffusion to classical diffusion and from diffusion-wave to classical wave phenomenon.
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