Results 31 to 40 of about 220,647 (316)
Differential Diffusivity of Nodal and Lefty Underlies a Reaction-Diffusion Patterning System [PDF]
Science, 2012 Reaction-Diffusion Patterning Six decades ago, Alan Turing proposed the reaction-diffusion model to explain how complex patterns emerge during morphogenesis. In this model, an activator activates both itself and an inhibitor (the “reaction”), with the activator being less mobile than the inhibitor (“diffusion ...
Müller, Patrick +6 more
openaire +6 more sources
Diffusion differentiable resampling
CoRRThis paper is concerned with differentiable resampling in the context of sequential Monte Carlo (e.g., particle filtering). Drawing on reparametrisation, we propose a new resampling method that is informative and instantly differentiable, based on a training-free diffusion model surrogate.
Jennifer Rosina Andersson, Zheng Zhao
openaire +2 more sources
Stochastic differential equation for Brox diffusion
Stochastic Processes and their Applications, 2017 This paper studies the weak and strong solutions to the stochastic differential equation $ dX(t)=-\frac12 \dot W(X(t))dt+d\mathcal{B}(t)$, where $(\mathcal{B}(t), t\ge 0)$ is a standard Brownian motion and $W(x)$ is a two sided Brownian motion, independent of $\mathcal{B}$.
Yaozhong Hu, Khoa Lê, Leonid Mytnik
openaire +3 more sources
EnergiesThis study investigates the effects of diffusion modeling and swirl intensity on flow fields and NO emissions in CH4/NH3 non-premixed swirling flames using large eddy simulations (LESs).
Ahmed Adam +3 more
doaj +1 more source
Journal of Applied Mathematics, 2013 This paper is concerned with the stability of impulsive stochastic reaction-diffusion differential systems with mixed time delays. First, an equivalent relation between the solution of a stochastic reaction-diffusion differential system with time delays ...
Yanke Du, Yanlu Li, Rui Xu
doaj +1 more source
Microscopic simulation of membrane molecule diffusion on corralled membrane surfaces [PDF]
, 2008 The current understanding of how receptors diffuse and cluster in the plasma membrane is limited. Data from single-particle tracking and laser tweezer experiments have suggested that membrane molecule diffusion is affected by the presence of barriers ...
Edwards, Jeremy S. +4 more
core +1 more source
The differentiation of hypoelliptic diffusion semigroups [PDF]
Illinois Journal of Mathematics, 2010 Basic derivative formulas are presented for hypoelliptic heat semigroups and harmonic functions extending earlier work in the elliptic case. Emphasis is placed on developing integration by parts formulas at the level of local martingales. Combined with the optional sampling theorem, this turns out to be an efficient way of dealing with boundary ...
Arnaudon, Marc, Thalmaier, Anton
openaire +5 more sources
Finite element approximation of a nonlinear cross-diffusion population model [PDF]
, 2003 We consider a fully discrete finite element approximation of the nonlinear cross-diffusion population model: Find u i, the population of the ith species, i = 1 and 2, such that ∂ui ∂t −Δ [ ci ui + ai u2i + ui uj] − bi ∇.
John W. Barrett +6 more
core +1 more source
Meitan xuebaoThe surface diffusion behavior of coal-adsorbed gas is difficult to measure and quantitatively characterize, which has always been a problem or difficulty in the study of the migration law of coalbed methane (coal mine gas).
Shiqiang CHEN +6 more
doaj +1 more source
Exact Solutions for Some Partial Differential Equations by Using First Integral Method [PDF]
المجلة العراقية للعلوم الاحصائية, 2011 In this paper, some exact solutions for the convection–diffusion–reaction equation in two dimensions and a nonlinear system of partial differential equations are formally derived by using the first integral method, which are based on the theory of ...
doaj +1 more source