The equation can reflect the propagation of Rossby waves on the plane and is more appropriate for the real ocean and atmosphere than the ((1+1)) dimensional models (such as KdV and mKdV), which can only represent the propagation of Rossby solitary waves in a line.
Improved versions of the one-dimensional model, such as that of Hagan et al. [1988. A simple approach to highly sensitive tubular reactors.
All of this is part of a long-term effort to simulate the interaction between the microphysics and the atmospheric dynamics of Venus using a three-dimensional model such as a GCM or one capable of simulating mesoscale dynamical processes.
Conjointly use of different innovative three-dimensional models such as reconstructed dermis and skin built with human cells coming from variable aged donors allowed first, a better understanding of matrix modifications due to ageing and second, the screening of active ingredients highly targeted to reverse observed damages.
Simulated annealing is a straightforward generalization of the MCMC algorithm, especially for high-dimensional models such as MBL [ 64].
Indeed, experimental three-dimensional models such as multicellular spheroids may provide a better in vitro approximation of solid tumors [ 15], and have been used for study of multicellular resistance [ 16, 17].
However, it is important to make the distinction between criticality in the statistical mechanics sense (i.e. defined in terms of a second-order phase transition in a system with infinite degrees of freedom) and criticality in the mathematical sense (i.e. defined in terms of a bifurcation in a low-dimensional mean field model) such as used in our work.
They are either two-dimensional (2D) models such as conventional cell proliferation and migration tests or more elaborated three-dimensional (3D) assays.
Conventional, radially averaged, one-dimensional seismic models, such as the Preliminary Reference Earth Model (PREM, Dziewonski and Anderson, 1981), provide a generalized description of the evolution of the sound velocities (V P and V S) and density with depth.
Some of these missing details can potentially be drawn from simplified one-dimensional (1D) models such as an analytical approach by Kruse and Jülicher [ 435].
