Search Results - "KARALI, Georgia"
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Bioequivalence Studies of Highly Variable Drugs: An Old Problem Addressed by Artificial Neural Networks
Published in Applied sciences (01-06-2024)“…The bioequivalence (BE) of highly variable drugs is a complex issue in the pharmaceutical industry. The impact of this variability can significantly affect the…”
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Modeling the Double Peak Phenomenon in Drug Absorption Kinetics: The Case of Amisulpride
Published in BioMedInformatics (01-03-2023)“…An interesting issue observed in some drugs is the “double peak phenomenon” (DPP). In DPP, the concentration-time (C-t) profile does not follow the usual shape…”
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3
The role of multiple microscopic mechanisms in cluster interface evolution
Published in Journal of Differential Equations (15-04-2007)“…In this paper we discuss mesoscopic models describing pattern formation mechanisms for a prototypical model of surface processes that involves multiple…”
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4
The Ground State of a Gross–Pitaevskii Energy with General Potential in the Thomas–Fermi Limit
Published in Archive for rational mechanics and analysis (01-08-2015)“…We study the ground state which minimizes a Gross–Pitaevskii energy with general non-radial trapping potential, under the unit mass constraint, in the…”
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5
Existence and regularity of solution for a stochastic Cahn–Hilliard/Allen–Cahn equation with unbounded noise diffusion
Published in Journal of Differential Equations (05-02-2016)“…The Cahn–Hilliard/Allen–Cahn equation with noise is a simplified mean field model of stochastic microscopic dynamics associated with adsorption and…”
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6
Validation of population pharmacokinetic models: a comparison of internal and external validation approaches for hydrochlorothiazide
Published in Xenobiotica (02-12-2021)“…1. Model evaluation is an important issue in population analyses. Our aim was to perform and illustrate metrics and techniques for internal and external…”
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7
On the convergence of a fourth order evolution equation to the Allen–Cahn equation
Published in Nonlinear analysis (01-06-2010)“…We construct special sequences of solutions to a fourth order nonlinear parabolic equation of Cahn–Hilliard/Allen–Cahn type, converging to the second order…”
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8
Resonance Phenomena in a Singular Perturbation Problem in the Case of Exchange of Stabilities
Published in Communications in partial differential equations (01-09-2012)“…We consider the following singularly perturbed elliptic problem: where Ω is a bounded domain in ℝ 2 with smooth boundary, ϵ > 0 is a small parameter, n denotes…”
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9
CONTINUUM LIMITS OF PARTICLES INTERACTING VIA DIFFUSION
Published in Abstract and Applied Analysis (01-01-2004)“…We consider a two‐phase system mainly in three dimensions and we examine the coarsening of the spatial distribution, driven by the reduction of interface…”
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10
Bubble interactions for the Mullins–Sekerka problem: Some case examples
Published in Mathematics and computers in simulation (01-12-2009)“…The Mullins–Sekerka free boundary problem originates from the study of solidification and liquidation of materials where material is transported by diffusion…”
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11
Malliavin Calculus for the one-dimensional Stochastic Stefan Problem
Published 29-07-2024“…We consider the one-dimensional outer stochastic Stefan problem with reflection which models the short-time prediction of the price or spread of one volatile…”
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12
Thin-film equations with “partial wetting” energy: Existence of weak solutions
Published in Physica. D (15-09-2005)“…The capillarity driven evolution with slip of a thin liquid film over a dry surface is considered in the regime of “partial wetting”. The focus is on the…”
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Layer dynamics for the one dimensional $\varepsilon$-dependent Cahn-Hilliard / Allen-Cahn equation
Published 23-05-2021“…We study the dynamics of the one-dimensional $\varepsilon$-dependent Cahn-Hilliard / Allen-Cahn equation within a neighborhood of an equilibrium of $N$…”
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14
The multi-dimensional Stochastic Stefan Financial Model for a portfolio of assets
Published 24-12-2020“…The financial model proposed involves the liquidation process of a portfolio of $n$ assets through sell or (and) buy orders with volatility. We present the…”
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Ostwald ripening in two dimensions—the rigorous derivation of the equations from the Mullins–Sekerka dynamics
Published in Journal of Differential Equations (01-10-2004)“…We consider a dilute mixture of a finite number of particles and we are interested in the coarsening of the spatial distribution in two space dimensions under…”
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16
Generation of fine transition layers and their dynamics for the stochastic Allen--Cahn equation
Published 10-12-2018“…We study an $\ep$-dependent stochastic Allen--Cahn equation with a mild random noise on a bounded domain in $\mathbb{R}^n$, $n\geq 2$. Here $\ep$ is a small…”
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17
The effect of the geometry of the particle distribution in ostwald ripening
Published in Communications in mathematical physics (01-07-2003)Get full text
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18
The ground state of a Gross-Pitaevskii energy with general potential in the Thomas-Fermi limit
Published 27-05-2012“…We study the ground state which minimizes a Gross-Pitaevskii energy with general non-radial trapping potential, under the unit mass constraint, in the…”
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Journal Article -
19
The Sharp interface limit for the stochastic Cahn-Hilliard equation
Published 27-07-2015“…We study the two and three dimensional stochastic Cahn-Hilliard equation in the sharp interface limit, where the positive parameter $\epsilon$ tends to zero,…”
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Journal Article -
20
Motion of a droplet for the mass-conserving stochastic Allen-Cahn equation
Published 21-01-2015“…We study the stochastic mass-conserving Allen-Cahn equation posed on a bounded two-dimensional domain with additive spatially smooth space-time noise. This…”
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