Diffusion Types:The cell can use diffusion to bring in water and small ions. The way that diffusion occurs depends on the molecule that is being brought in or expelled out of the cell. Diffusion is a type of passive transport, meaning it does not require energy from the cell to take ...
For example, the most likely path—or path of least action—is the path taken when the fluctuations take their most likely value of zero. This means that variations away from this path always increase the action. This is expressed mathematically by saying that its variation is zero when the ...
Following Steyn-Ross, Steyn-Ross, and Sleigh20, different levels of chaos in their mean-field cortical model were generated by varying two parameters: postsynaptic inhibitory response and inhibitory diffusion. The postsynaptic inhibitory response parameter (\({\lambda }_{i}\) in their model) was ...
Self-structuring and pattern formation arising from random initial states are often modelled by reaction-diffusion models (RDM)24 or particle models, such as self-propelled particle systems11. Morphogenesis in such systems was explored in more complex SPP systems25,26: These particles can sense a ...
Deductive models contain a mathematical description; for example, the reaction–diffusion equation that makes predictions about reality. If these predictions do not agree with experiment, then the validity of the entire model may be questioned. Mathematical models are commonly applied in physical ...
One obvious and evident feature is that the “would be” shear diffusion mode, which arises because of (transverse) momentum conservation, acquires now a finite lifetime given by the timescale \tau. This implies a modified dispersion relation of the type: \begin{equation}\omega\,=\,-\,\tex...
or the reverse. Bachelier’s model had actual confirmed Brownian Motion, years before Albert Einstein’s paper:Investigation on the Theory of Brownian Motion. Fascinatingly, Bachelier turned to physics and used a function of heat diffusion and central limit theorem principles in the making of his ...
You see, there is a life cycle that every new and innovative product must live through. It’s called the law of innovation and diffusion, and it looks like this: To reach the majority of people, your product must first successfully pass through innovators and early adopters. These are small...
“solvent” for NTRs or other macromolecules with FG affinity but excludes macromolecules that are inert towards FG repeats3,26,27,28. According to the selective phase model6, NPC passage of mobile species includes their partitioning into the FG phase, diffusion to thetransside, and finally ...
The example of excavation below shows the change of heights by the excavation, defined in dependence on the assumed body width of pufferfish (b) and the factor of sand diffusion (f). Darker color represents lower sites. (B) The algorithm of the developed simulation. The details were ...