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Q: What does exponential apparent diffusion?
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What does exponential apparent diffusion coefficient mean?

Apparent diffusion coefficient (ADC) measures the magnitude of diffusion (of water molecules) within cerebral tissue. A low value for ADC indicates that the cortical white matter tracts are organized (good), while a high value for ADC indicates that these tracts are disorganized (bad). When evaluating an acute ischemic stroke, ADC image sequences play a crucial role. Ischemic brain parenchyma tends to have a low ADC value. This is in turn correlated with a high diffusion weighted imaging (DWI) value to confirm that the ischemia is not secondary to an MRI artifact known as T2 shine through. The latter would demonstrate a high signal on DWI imaging, but would continue to demonstrate high intensity on ADC sequences.


What is apparent diffusion coefficient?

The apparent diffusion coefficient (ADC) is a quantitative measure that reflects the diffusion of water molecules in tissues, commonly used in diffusion-weighted magnetic resonance imaging (DWI). It provides information about tissue microstructure and cellularity by measuring how freely water molecules move within cells and extracellular space. Changes in ADC values can indicate conditions such as inflammation, ischemia, or tumor growth.


What is the relation between apparent diffusion coefficient and mean diffusivity on DTI?

Apparent diffusion coefficient (ADC) is a measure of water diffusion in all directions, while mean diffusivity is a measure of the average diffusion within a voxel. ADC includes the effects of both isotropic and anisotropic diffusion, whereas mean diffusivity reflects the overall diffusion within the voxel. In DTI, ADC is calculated as the average of the three eigenvalues, which correspond to the three principal diffusion directions and contribute to mean diffusivity.


How do you solve a diffusion equation with a negative diffusion coefficient numerically It is unstable at all. Solving it with finite difference is best?

One common approach is using an implicit method (such as the Crank-Nicolson scheme) for numerical integration, as it is unconditionally stable. Another option is to use the exponential finite difference method, which can handle negative diffusion coefficients while ensuring stability. Additionally, modifying the equation to transform the negative diffusion coefficient into a positive one can also be effective for numerical stability.


What is the value of the exponential expression 36.5?

36.5 is not an exponential expression! Its value is 36.536.5 is not an exponential expression! Its value is 36.536.5 is not an exponential expression! Its value is 36.536.5 is not an exponential expression! Its value is 36.5


What is a relation which are exponential function?

Exponential relationship!


What part of speech is exponential?

Exponential is an adjective.


What is 746 written in exponential from?

746 in exponential from


A function takes the exponential function's output and returns the exponential function's input?

A __________ function takes the exponential function's output and returns the exponential function's input.


What is 4.75e3 in exponential form?

4.75e3 in exponential notation is: 4.75 × 103


Is the relationship linear or exponential?

is the relationship linear or exponential


What are the types of cultural diffusion?

contagious diffusion, relocation diffusion, expansion diffusion, stimulus diffusion, hierarchical diffusion.