Stochastic Description of Offshore Environment

1990 ◽  
pp. 31-56 ◽  
Author(s):  
M. K. Ochi
Keyword(s):  
Stochastic Description

scholarly journals On Exact and Approximate Approaches for Stochastic Receptor-Ligand Competition Dynamics—An Ecological Perspective

Mathematics ◽  
2020 ◽  
Vol 8 (6) ◽  
pp. 1014
Author(s):  
Polly-Anne Jeffrey ◽  
Martín López-García ◽  
Mario Castro ◽  
Grant Lythe ◽  
Carmen Molina-París
Keyword(s):  
Summary Statistics ◽  
Steady State Distribution ◽  
State Distribution ◽  
Cellular Receptors ◽  
Stochastic Description ◽  
The Matrix ◽  
Common Resource ◽  
A Cell ◽  
The Common ◽  
Cellular Medium

Cellular receptors on the cell membrane can bind ligand molecules in the extra-cellular medium to form ligand-bound monomers. These interactions ultimately determine the fate of a cell through the resulting intra-cellular signalling cascades. Often, several receptor types can bind a shared ligand leading to the formation of different monomeric complexes, and in turn to competition for the common ligand. Here, we describe competition between two receptors which bind a common ligand in terms of a bi-variate stochastic process. The stochastic description is important to account for fluctuations in the number of molecules. Our interest is in computing two summary statistics—the steady-state distribution of the number of bound monomers and the time to reach a threshold number of monomers of a given kind. The matrix-analytic approach developed in this manuscript is exact, but becomes impractical as the number of molecules in the system increases. Thus, we present novel approximations which can work under low-to-moderate competition scenarios. Our results apply to systems with a larger number of population species (i.e., receptors) competing for a common resource (i.e., ligands), and to competition systems outside the area of molecular dynamics, such as Mathematical Ecology.

Stochastic description of sea waves

2002 ◽  
Vol 40 (3) ◽  
pp. 265-274 ◽  
Author(s):  
Constantine Memos ◽  
K. Tzanis ◽  
K. Zographou
Keyword(s):  
Sea Waves ◽  
Stochastic Description

Stochastic description of quantum Brownian dynamics

2016 ◽  
Vol 11 (4) ◽  
Author(s):  
Yun-An Yan ◽  
Jiushu Shao
Keyword(s):  
Brownian Dynamics ◽  
Stochastic Description

scholarly journals Quasielastic He atom scattering from surfaces: a stochastic description of the dynamics of interacting adsorbates

2007 ◽  
Vol 19 (30) ◽  
pp. 305002 ◽  
Author(s):  
R Martínez-Casado ◽  
J L Vega ◽  
A S Sanz ◽  
S Miret-Artés
Keyword(s):  
Stochastic Description ◽  
Atom Scattering ◽  
He Atom

scholarly journals Stochastic description of geometric phase for polarized waves in random media

2012 ◽  
Vol 46 (3) ◽  
pp. 035203 ◽  
Author(s):  
Jérémie Boulanger ◽  
Nicolas Le Bihan ◽  
Vincent Rossetto
Keyword(s):  
Geometric Phase ◽  
Random Media ◽  
Stochastic Description ◽  
Polarized Waves

scholarly journals Distribution of the components of the building mixture in the presence of secondary raw materials during rotary mixing

2020 ◽  
Vol 220 ◽  
pp. 01060
Author(s):  
Anna Kapranova ◽  
Daria Bahaeva ◽  
Dmitry Stenko ◽  
Alexander Vatagin ◽  
Anton Lebedev ◽  
...  
Keyword(s):  
Raw Materials ◽  
Physical And Mechanical Properties ◽  
Distribution Functions ◽  
Stochastic Description ◽  
Rarefied Flows ◽  
Secondary Raw Materials ◽  
Characteristic Angle ◽  
Two Stages ◽  
The Given ◽  
Number Of Particles

The purpose of this study is a stochastic description of the distribution of solid dispersed components, including those from secondary raw materials, according to the characteristic angle of scattering ϴij when receiving a construction mixture at the first stage of operation of the rotary apparatus. Two stages of the formation of rarefied flows are assumed: when scattering particles of components by elastic blades of a rotating drum and when interacting with the baffle surface. Modeling method this is energy method of Klimontovich Yu.L. The analysis of the efficiency of the first stage (rotary mixing) is carried out based on the obtained distribution functions of the number of particles of bulk components over the scattering angle, taking into account their physical and mechanical properties and a variety of design and operating parameters of the apparatus. The bulk of the particles of the mixed components are scattered at the initial angles of rotation of the mixing drum, when the deformation of the elastic blades is most significant. This is accompanied by the characteristic first bursts of the obtained distribution curves (ϴij< 0.1 rad) for the number of particles of the tested bulk materials at the given ranges of parameters.

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