Results 31 to 40 of about 327,410 (288)
A note on strong solutions of stochastic differential equations with a discontinuous drift coefficient [PDF]
, 2006 The existence of a mean-square continuous strong solution is established for vector-valued Itö stochastic differential equations with a discontinuous drift coefficient, which is an increasing function, and with a Lipschitz continuous diffusion ...
Halidias, Nikolaos, Kloeden, Peter E.
core +3 more sources
A spectral-based numerical method for Kolmogorov equations in Hilbert spaces
, 2016 We propose a numerical solution for the solution of the Fokker-Planck-Kolmogorov (FPK) equations associated with stochastic partial differential equations in Hilbert spaces.
Delgado-Vences, Francisco J. +1 more
core +1 more source
LDAcoop: Integrating non‐linear population dynamics into the analysis of clonogenic growth in vitro
Molecular Oncology, EarlyView.Limiting dilution assays (LDAs) quantify clonogenic growth by seeding serial dilutions of cells and scoring wells for colony formation. The fraction of negative wells is plotted against cells seeded and analyzed using the non‐linear modeling of LDAcoop.
Nikko Brix +13 more
wiley +1 more source
Discretizing a backward stochastic differential equation
International Journal of Mathematics and Mathematical Sciences, 2002 We show a simple method to discretize Pardoux-Peng's nonlinear backward stochastic differential equation. This discretization scheme also gives a numerical method to solve a class of semi-linear PDEs.
Yinnan Zhang, Weian Zheng
doaj +1 more source
On Zero-Sum Stochastic Differential Games [PDF]
, 2012 We generalize the results of Fleming and Souganidis (1989) on zero sum stochastic differential games to the case when the controls are unbounded. We do this by proving a dynamic programming principle using a covering argument instead of relying on a ...
Bayraktar, Erhan, Yao, Song
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Adiabatic elimination in quantum stochastic models [PDF]
, 2007 We consider a physical system with a coupling to bosonic reservoirs via a quantum stochastic differential equation. We study the limit of this model as the coupling strength tends to infinity.
A.C. Doherty +23 more
core +2 more sources
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Epilepsy is increasingly associated with immune dysregulation and inflammation. The T cell receptor (TCR), a key mediator of adaptive immunity, shows repertoire alterations in various immune‐mediated diseases. The unique TCR sequence serves as a molecular barcode for T cells, and clonal expansion accompanied by reduced overall TCR ...
Yong‐Won Shin +12 more
wiley +1 more source
Rossler’s system using piecewise derivative
Results in Physics, 2023 This article deals with a piecewise system named piecewise Rossler’s system which exhibits a concept of piecewise derivatives based on Classical-power-law randomness, Classical Mittag-Leffler-law-randomness, and Classical fading memory randomness ...
Atul Kumar
doaj +1 more source
Hybrid deterministic stochastic systems with microscopic look-ahead dynamics [PDF]
, 2010 We study the impact of stochastic mechanisms on a coupled hybrid system consisting of a general advection-diffusion-reaction partial differential equation and a spatially distributed stochastic lattice noise model.
Katsoulakis, M. A. +2 more
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Advanced Engineering Materials, EarlyView.Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt +8 more
wiley +1 more source