We consider a hypoelliptic two-parameter diffusion.
Second, we establish the behaviour of2ε2 log ps, t x, y), as ε↓0, where x is the initial condition of the diffusion, ε=st, and ps, t x, y) is the density of the hypoelliptic two-parameter diffusion.
In particular, the estimate of the exponential convergence rate is also provided, which depends on system parameters, diffusion effect and impulsive disturbed intention.
Confidence intervals of the determined parameters, diffusion coefficient, exchange current density, and charge-transfer coefficient are estimated.
For simulations, parameters of the experimental setup (CCD noise and gain, texp/tlag) as well as sample parameters (diffusion constant, spot intensity) typical for the tracking of membrane channels were employed.
Nonetheless, the dependence of the redistribution on the different simulation parameters (diffusion coefficient, gradient) suggests a simple picture that captures the main elements in the formation of polarity at the membrane.
We investigated this aspect by assessing the sensitivity of the patchy patterns to the various parameters (diffusion, decay, production, and basal production) of the Gierer Meinhardt model.
The model included four parameters: association/dissociation parameters, and diffusion and crowding coefficients.
A large number of research papers have been found in the literature for single parameter convection-diffusion and reaction-diffusion problems [2, 8, 9, 12, 16].
Whereas, [21] uses the extent of noise smoothing in every iteration as a stopping parameter for diffusion.
Assuming different values for a sixth parameter, the diffusion coefficient of Ca2+ (DCa), did modestly influence the position of the band of channels (Fig. 6, gray curves).
