An exception is the use of diffusion equations (and approximations thereof) for membrane transport in the work of Yang et al. [ 16].
For a species diffusing in 2 dimensions, such as a membrane receptor, S → ∞, an algebraic form of the autocorrelation equation simplifies to G = 1 + 1 N ∑ i = 1 m f i (1 + τ τ D i ) − 1 Nonlinear curve fitting of autocorrelation curves, using these equations or combinations thereof to account for multiple 2D and 3D diffusing components, yields values for N, f i, and τD i for each component.
In the simplest case we could use Shannon's capacity equation or an extension thereof.
An obvious idea is to first reconstruct a causal network and then estimate causal effects thereof using Equation (1).
In a number of studies in both the visual and auditory systems, RFs have been estimated from responses to natural stimuli and the bias due to second-order stimulus correlations has been corrected using a least-squares approach (equation 2, or some variant thereof) [3], [4], [9], [11], [27] [31].
Semigroup theory provides a unified and powerful tool for the study of differential equations, partial differential equations and combinations thereof.
Therefore, net stoichiometric equation for peroxide depletion could be any one of the equations (vii) through (x) and further combinations thereof, exemplified by (xi) through (xiii).
A general extension for such a default theory is a pair of sets of defaults (or conclusions thereof) that simultaneously satisfies two fixpoint equations.
Initial results from new calculations of interacting anti-parallel Euler vortices are presented with the objective of understanding the origins of singular scaling presented by Kerr [R.M. Kerr, Evidence for a singularity of the three-dimensional, incompressible Euler equations, Phys. Fluids 5 (1993) 1725 1746] and the lack thereof by Hou and Li [T.Y.
We have proposed that these issues could be partly addressed by developing a parsimonious framework comprising a set of model building blocks, based on the ordinary differential equation modelling paradigm, representing common cell culture dynamics and modulation thereof.
