Results 51 to 60 of about 732,831 (345)
On stochastic differential equations and a generalised Burgers equation [PDF]
In this paper, we discuss a link of Itˆo’s stochastic differential equa- tions to nonlinear partial differential equations of Burgers type. Un- der certain conditions, we derive a generalised Burgers equation from a stochastic differential equation.
Wu, JiangLun, Yang, Wei
core
Large deviations of conservative stochastic partial differential equations [PDF]
In this paper, we establish a large deviation principle for the conservative stochastic partial differential equations, whose solutions are related to stochastic differential equations with interaction. The weak convergence method and the contraction principle in the theory of large deviations play an important role.
arxiv
This study used longitudinal transcriptomics and gene‐pattern classification to uncover patient‐specific mechanisms of chemotherapy resistance in breast cancer. Findings reveal preexisting drug‐tolerant states in primary tumors and diverse gene rewiring patterns across patients, converging on a few dysregulated functional modules. Despite receiving the
Maya Dadiani+14 more
wiley +1 more source
The Cauchy problem for stochastic differential system with measures is considered in the paper. Finite-difference with averaging system of stochastic differential equations with correspondence to Cauchy problem is investigated.
Artsiom Y. Rusetski
doaj
On Caputo–Katugampola Fractional Stochastic Differential Equation
We consider the following stochastic fractional differential equation CD0+α,ρφ(t)=κϑ(t,φ(t))w˙(t), 00 represents the noise level. The main result of the paper focuses on the energy growth bound and the asymptotic behaviour of the random solution ...
McSylvester Ejighikeme Omaba+1 more
doaj +1 more source
Determination of ADP/ATP translocase isoform ratios in malignancy and cellular senescence
The individual functions of three isoforms exchanging ADP and ATP (ADP/ATP translocases; ANTs) on the mitochondrial membrane remain unclear. We developed a method for quantitatively differentiating highly similar human ANT1, ANT2, and ANT3 using parallel reaction monitoring. This method allowed us to assess changes in translocase levels during cellular
Zuzana Liblova+18 more
wiley +1 more source
A review of artificial intelligence in brachytherapy
Abstract Artificial intelligence (AI) has the potential to revolutionize brachytherapy's clinical workflow. This review comprehensively examines the application of AI, focusing on machine learning and deep learning, in various aspects of brachytherapy.
Jingchu Chen+4 more
wiley +1 more source
A least square-type procedure for parameter estimation in stochastic differential equations with additive fractional noise [PDF]
We study a least square-type estimator for an unknown parameter in the drift coefficient of a stochastic differential equation with additive fractional noise of Hurst parameter H>1/2. The estimator is based on discrete time observations of the stochastic
Neuenkirch, Andreas, Tindel, Samy
core +3 more sources
Stochastic nonlinear differential equation generating 1/f noise
Starting from the simple point process model of 1/f noise we derive a stochastic nonlinear differential equation for the signal exhibiting 1/f noise in any desirably wide range of frequency.
A. L. McWhorter+6 more
core +1 more source
Abstract Purpose This study quantitatively evaluates bladder changes and their dosimetric impact during the on‐couch adaptive process on a commercial CBCT‐based online adaptive radiotherapy (CT‐gART) platform. Methods Data from 183 fractions of ten patients receiving online ART for pelvic cancers were analyzed retrospectively.
Ingrid Valencia Lozano+7 more
wiley +1 more source