Neutral Stochastic Differential Delay Equations with Markovian Switching (2009)
V. Kolmanovskii, N. Koroleva, T. Maizenberg, X. Mao, A. Matasov
Neutral stochastic differential delay equations (NSDDEs) have recently been studied intensively (see Kolmanovskii, V.B. and Nosov, V.R.,
Kim, J.R., Mao, X, Heslop-Harrison, P.
In most molecular level simulations, spatial heterogeneity is neglected by the well-mixed condition assumption. However, the signals of biomolecular networks are affected from both time and space,...
Xiao Xin Liao, Xuerong Mao, X. X. Liao, X. Mao
E l e c t r o n
Detailed process interaction simulated in TCE DNAPL bioremediation column experiments (2008)
Kouznetsova, I., Gerhard, J.I., Mao, X., Robinson, C., Barry, D.A., Harkness, M., ...
Puschendorf, M., Terranova, R., Boutsma, E., Mao, X., Isono, K., Brykczynska, U., ...
In eukaryotes, Suv39h H3K9 trimethyltransferases are required for pericentric heterochromatin formation and function. In early mouse preimplantation embryos, however, paternal pericentric...
Stability Of Stochastic Neural Netwroks (2007)
: Although the stability of neural networks has been studied by many authors, the problem of stochastic effects to the stability has not been investigated until recently by Liao & Mao (1996),...
Almost Sure Exponential Stability of Neutral Stochastic Differential Difference Equations (2007)
: A neutral stochastic differential difference equation d[x(t)\GammaG(x(t\Gammaø ))]=f(t;x(t);x(t\Gammaø))dt+oe(t;x(t);x(t\Gammaø))dw(t): was introduced by Kolmanovskii & Nosov [5] several...
On Approximate Solving The Mean-Square Filtering Problem In Hereditary Systems (2007)
V. Kolmanovskii, X. Mao, A. Matasov
The stochastic mean-square filtering problem for dynamic systems with delay is considered. The state-space representation for optimal filter is obtained. The optimal algorithm contains a system of...
Exponential Stability of Nonlinear Differential Delay Equations (2007)
: The aim of this paper is to investigate the exponential stability of a nonlinear differential delay equation x(t)=f(t;x(t);x(t\Gammaø)). Introduce the corresponding differential equation (without...
Stability & Instability of Stochastic Interval Systems (2007)
In this paper, we establish a set of sufficient conditions for the almost sure exponential stability and instability of interval systems of stochastic differentialequations driven by one-dimensional...
Exponential Stability of Nonlinear Differential Delay Equations (2007)
Abstract: The aim of this paper is to investigate the exponential stability of a nonlinear differ-ential delay equation &(t)----f(t,x(t),x(t--)). Introduce the corresponding differential equation...
STRATEGIC MEASURES IN OPTIMAL CONTROL PROBLEMS FOR STOCHASTIC SEQUENCES 1 (2007)
Controlled discrete-time stochastic processes are studied using the convex-analytic approach. Some new properties of strategic measures spaces are established, particular Markov models are...
Numerical modeling of tidal influence on density-dependent contaminant transport (2007)
Brovelli, A., Mao, X., Barry, D. A.
Transport of contaminants in coastal aquifers subject to tidal fluctuation is an important topic in hydrogeology as a consequence of the significant development of human activities near the...
Comprehensive model for enhanced biodegradation of chlorinated solvents in groundwater (2007)
Kouznetsova, I., Gerhard, J. I., Mao, X., Robinson, C., Barry, D. A., Herkness, M., ...
Higham, D.J., Mao, X., Yuan, C.
Relatively little is known about the ability of numerical methods for stochastic differential equations (SDEs) to reproduce almost sure and small-moment stability. Here, we focus on these stability...
Higham, D.J., Mao, X., Yuan, C.
Relatively little is known about the ability of numerical methods for stochastic differential equations (SDEs) to reproduce almost sure and small-moment stability. Here, we focus on these stability...
Visual Comput (2007) 23: 631–639 DOI 10.1007/s00371-007-0154-3 ORIGINAL ARTICLE (2007)
Jianbing Shen, Xiaogang Jin, Xiaoyang Mao, Jieqing Feng, J. Shen, X. Jin, ...
Textures have been a research focus for many years in human perception, computer graphics and computer vision. Recent decades of research activities in this area emphasize on texture synthesis. Given...
Tidal influence on behaviour of a coastal aquifer adjacent to a low-relief estuary (2006)
Mao, X., Enot, P., Barry, D. A., Li, L., Binley, Andrew M.
The tidal influence on groundwater hydrodynamics, salt-water intrusion and submarine groundwater discharge from coastal/estuarine aquifers is poorly quantified for systems with a mildly sloping...
Tidal influence on behaviour of a coastal aquifer adjacent to a low-relief estuary (2006)
Mao, X., Enot, P., Barry, D. A., Li, L., Binley, A.
The tidal influence on groundwater hydrodynamics, salt- water intrusion and submarine groundwater discharge from coastal/estuarine aquifers is poorly quantified for systems with a mildly sloping...
Liu, X., Mao, X., Yang, J., Barry, D. A., Li, L.
Pollution by polycyclic aromatic hydrocarbons (PAHs) is widespread due to unsuitable disposal of industrial waste. They are mostly defined as priority pollutants by environmental protection...
Mao, X., Prommer, H., Barry, D. A., Langevin, C. D., Panteleit, B., Li, L.
PHWAT is a new model that couples a geochemical reaction model (PHREEQC-2) with a density-dependent groundwater flow and solute transport model (SEAWAT) using the split- operator approach. PHWAT was...
Mao, X, Prommer, H, Barry, DA, Langevin, CD, Panteleit, B, Li, L
PHWAT is a new model that couples a geochemical reaction model (PHREEQC-2) with a density-dependent groundwater flow and solute transport model (SEAWAT) using the split-operator approach. PHWAT was...
Tidal influence on behaviour of a coastal aquifer adjacent to a low-relief estuary (2006)
Mao, X, Enot, P, Barry, DA, Li, L, Binley, A, Jeng, DS
The tidal influence on groundwater hydrodynamics, salt-water intrusion and submarine groundwater discharge from coastal/estuarine aquifers is poorly quantified for systems with a mildly sloping...
Mao, X, Prommer, H, Barry, DA, Langevin, CD, Panteleit, B, Li, L
PHWAT is a new model that couples a geochemical reaction model (PHREEQC-2) with a density-dependent groundwater flow and solute transport model (SEAWAT) using the split-operator approach. PHWAT was...
Tidal influence on behaviour of a coastal aquifer adjacent to a low-relief estuary (2006)
Mao, X, Enot, P, Barry, DA, Li, L, Binley, A, Jeng, DS
The tidal influence on groundwater hydrodynamics, salt-water intrusion and submarine groundwater discharge from coastal/estuarine aquifers is poorly quantified for systems with a mildly sloping...
Stochastic differential delay equations of population dynamics (2005)
In this paper, we investigate the almost surely asymptotic stability for the nonlinear stochastic differential delay equations with Markovian switching. Some sufficient criteria on the...
Stochastic differential delay equations of population dynamics (2005)
In this paper, we investigate the almost surely asymptotic stability for the nonlinear stochastic differential delay equations with Markovian switching. Some sufficient criteria on the...
In principle, once the existence of the stationary distribution of a stochastic differential equation with Markovian switching is assured, we may compute it by solving the associated system of the...
In principle, once the existence of the stationary distribution of a stochastic differential equation with Markovian switching is assured, we may compute it by solving the associated system of the...
Spring-neap tide-induced beach water table fluctuations in a sloping coastal aquifer (2005)
Mao, X., Enot, P., Barry, D. A., Li, L.
Predictions of water table fluctuations in coastal aquifers are needed for numerous coastal and water resources engineering problems. Most previous investigations have been based on the Boussinesq...
Spring-neap tide-induced beach water table fluctuations in a sloping coastal aquifer (2005)
Jeng, DS, Mao, X, Enot, P, Barry, DA, Li, L
Predictions of water table fluctuations in coastal aquifers are needed for numerous coastal and water resources engineering problems. Most previous investigations have been based on the Boussinesq...
Mao, X., Enot, P., Barry, D. A., Li, L., Binlet, A.
In this study, we investigated the effect of beach slope for a coastal aquifer adjacent to a low-relief estuary. The waste was suspected to discharge leachate towards the estuary. Field observations...
Convergence of Monte Carlo simulations involving the mean-reverting square root process (2005)
The mean-reverting square root process is a stochastic differential equation (SDE) that has found considerable use as a model for volatility, interest rate, and other financial quantities. The...
Spring-neap tide-induced beach water table fluctuations in a sloping coastal aquifer (2005)
Jeng, DS, Mao, X, Enot, P, Barry, DA, Li, L
Predictions of water table fluctuations in coastal aquifers are needed for numerous coastal and water resources engineering problems. Most previous investigations have been based on the Boussinesq...
Convergence of Monte Carlo simulations involving the mean-reverting square root process (2005)
The mean-reverting square root process is a stochastic differential equation (SDE) that has found considerable use as a model for volatility, interest rate, and other financial quantities. The...
Modelling the fate of chromated copper arsenate in a sandy soil (2004)
Mao, X., Barry, D. A., Li, L., Stagnitti, F., Allinson, G., Turoczy, N.
A pulse of chromated copper arsenate (CCA, a timber preservative) was applied in irrigation water to an undisturbed field soil in a laboratory column. Concentrations of various elements in the...
Modelling the fate of chromated copper arsenate in a sandy soil (2004)
Mao, X, Barry, DA, Li, L, Stagnitti, F, Allinson, G, Turoczy, N
A pulse of chromated copper arsenate (CCA, a timber preservative) was applied in irrigation water to an undisturbed field soil in a laboratory column. Concentrations of various elements in the...
Modelling the fate of chromated copper arsenate in a sandy soil (2004)
Mao, X., Barry, D. A., Li, L., Stagnitti, Frank, Allinson, G., Turoczy, N.
A pulse of chromated copper arsenate (CCA, a timber preservative) was applied in irrigation water to an undisturbed field soil in a laboratory column. Concentrations of various elements in the...
Modelling the fate of chromated copper arsenate in a sandy soil (2004)
Mao, X, Barry, DA, Li, L, Stagnitti, F, Allinson, G, Turoczy, N
A pulse of chromated copper arsenate (CCA, a timber preservative) was applied in irrigation water to an undisturbed field soil in a laboratory column. Concentrations of various elements in the...
Modelling the fate of chromated copper arsenate in a sandy soil (2004)
Mao, X., Barry, D. A., Li, L., Stagnitti, Frank, Allinson, G., Turoczy, N.
A pulse of chromated copper arsenate (CCA, a timber preservative) was applied in irrigation water to an undisturbed field soil in a laboratory column. Concentrations of various elements in the...
Exponential mean square stability of numerical solutions to stochastic differential equations (2003)
Higham, D.J., Mao, X., Stuart, A.M.
Positive results are proved here about the ability of numerical simulations to reproduce the exponential mean-square stability of stochastic differential equations (SDEs). The first set of results...
Exponential mean square stability of numerical solutions to stochastic differential equations (2003)
Higham, D.J., Mao, X., Stuart, A.M.
Positive results are proved here about the ability of numerical simulations to reproduce the exponential mean-square stability of stochastic differential equations (SDEs). The first set of results...
Numerical solutions of stochastic functional differential equations (2003)
In this paper, the strong mean square convergence theory is established for the numerical solutions of stochastic functional differential equations (SFDEs) under the local Lipschitz condition and the...
Numerical solutions of stochastic functional differential equations (2003)
In this paper, the strong mean square convergence theory is established for the numerical solutions of stochastic functional differential equations (SFDEs) under the local Lipschitz condition and the...
Exponential stability of stochastic delay interval systems with Markovian switching (2002)
In the past few years, a lot of research has been dedicated to the stability of interval systems as well as the stability of systems with Markovian switching. However, little research has been on the...
Exponential stability of stochastic delay interval systems with Markovian switching (2002)
In the past few years, a lot of research has been dedicated to the stability of interval systems as well as the stability of systems with Markovian switching. However, little research has been on the...
A note on the LaSalle-type theorems for stochastic differential delay equations (2002)
The main aim of this note is to improve some results obtained in the author's earlier paper (1999, J. Math. Anal. Appl.236, 350-369). From the improved result follow some useful criteria on the...
A note on the LaSalle-type theorems for stochastic differential delay equations (2002)
The main aim of this note is to improve some results obtained in the author's earlier paper (1999, J. Math. Anal. Appl.236, 350-369). From the improved result follow some useful criteria on the...
Strong convergence of Euler-type methods for nonlinear stochastic differential equations (2002)
Higham, D.J., Mao, X., Stuart, A.M.
Traditional finite-time convergence theory for numerical methods applied to stochastic differential equations (SDEs) requires a global Lipschitz assumption on the drift and diffusion coefficients. In...
Strong convergence of Euler-type methods for nonlinear stochastic differential equations (2002)
Higham, D.J., Mao, X., Stuart, A.M.
Traditional finite-time convergence theory for numerical methods applied to stochastic differential equations (SDEs) requires a global Lipschitz assumption on the drift and diffusion coefficients. In...
Exponential stability of stochastic delay interval systems with Markovian switching (2002)
Abstract: Although deterministic interval systems have received a great deal of attention, so far there is no work on stochastic interval systems. The main aim of this paper is to initiate the study...
Quantitative proton magnetic resonance spectroscopy of childhood adrenoleukodystrophy. (1998)
Pouwels, P. J. W., Kruse, B., Korenke, G. C., Mao, X., Hanefeld, F., Frahm, J.
Asymptotic Normality Of Generalised Robbins-Monro Procedure (1998)
A. E. Rodkina, X. Mao, A. V. Melnikov
. The paper deals with the generalised Robbins-Monro procedure as a strong solution of stochastic differential equation with respect to semimartingale x t = x 0 \Gamma Z t 0 F (x s\Gamma )fl s dA s...
Robustness of exponential stability of stochastic differential delay equations (1996)
Abstract: Regard the stochastic differential delay equation dx(t)=[(A+ Ā(t))x(t)+(B+ ¯ B(t− τ)) x(t−τ)]dt+g(t,x(t),x(t−τ))dw(t) as the result of the effects of uncertainty, stochastic...
Exponential stability and instability of stochastic neural networks (1996)
In this paper we shall discuss stochastic effects to the stability property of a neural network ˙u(t) = −Bu(t) + Ag(u(t)). Suppose the stochastically perturbed neural network is described by an...
Variants of STAT6 (signal transducer and activator of transcription 6) in atopic asthma
GAO, P, MAO, X, ROBERTS, M, ARINOBU, Y, AKAIWA, M, ENOMOTO, T, ...
Mao, X, Jones, T A, Tomlinson, I, Rowan, A J, Fedorova, L I, Zelenin, A V, ...
We have examined the genetic aberrations in two near-diploid glioblastoma multiforme cell lines that appear to have arisen from different glial lineages. One cell line, Hu-O-2A/Gb1, expresses...