What is the chemical equation for diffusion?
Two-component reaction–diffusion equations with f (u) = λu − u3 − κ which describes how an action potential travels through a nerve. Here, du, dv, τ, σ and λ are positive constants.
What is the reaction-diffusion model?
The reaction-diffusion model describes the emergence of periodic patterns such as spots, stripes, and maze on the surface of animal coat through chemical interaction among cells [34]; see Figure 6.5. In the reaction-diffusion model, two hypothetical chemicals, called morphogens (activator and inhibitor) are considered.
What is gray Scott model?
The Gray Scott Model is a reaction-diffusion model that uses two non-real species named A and B, which »react« and transform to each other. Due to the mathematical expression, both equations (for A and B) are coupled.
What is Fick’s Law of diffusion equation?
Fick’s First Law Movement of solute from higher concentration to lower concentration across a concentration gradient. [latex]J = -D\frac{\mathrm{d} \varphi }{\mathrm{d} x}[/latex] Where, J: diffusion flux. D: diffusivity.
What is diffusion driven instability?
Diffusion driven instability in reaction-diffusion systems has been proposed as a mechanism for pattern formation in numerous embryological and ecological contexts. Our results suggest that environmental inhomogeneity could be an important regulator of biological pattern formation.
What is Fick’s Law equation?
Fick’s law can be written as: Rate of diffusion ∝ surface area × concentration difference thickness of membrane. ∝ means ‘is proportional to’.
For which decisions could the diffusion model be applicable?
The model should be applied only to relatively fast two-choice decisions (mean RTs less than about 1000 to 1500 ms) and only to decisions that are a single-stage decision process (as opposed to the multiple-stage processes that might be involved in, for example, reasoning tasks).
What is fickian diffusion?
Fickian diffusion refers to the solute transport process in which the polymer relaxation time (tr) is much greater than the characteristic solvent diffusion time (td). When tr ≈ td, the macroscopic drug release becomes anomalous or non-Fickian [3].