Results 141 to 150 of about 5,123,051 (393)
On subordinate random walks [PDF]
Forum Mathematicum, 2016 Abstract In this article subordination of random walks in ℝ d ${{\mathbb{R}}^{d}}$ is
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Steady state and mean recurrence time for random walks on stochastic temporal networks
, 2015 Random walks are basic diffusion processes on networks and have applications in, for example, searching, navigation, ranking, and community detection. Recent recognition of the importance of temporal aspects on networks spurred studies of random walks on
Aihara, Kazuyuki +3 more
core +1 more source
Molecular Oncology, EarlyView.There is an unmet need in metastatic breast cancer patients to monitor therapy response in real time. In this study, we show how a noninvasive and affordable strategy based on sequencing of plasma samples with longitudinal tracking of tumour fraction paired with a statistical model provides valuable information on treatment response in advance of the ...
Emma J. Beddowes +20 more
wiley +1 more source
An easy proof of Polya's theorem on random walks [PDF]
arXiv, 2018 We present an easy proof of Polya's theorem on random walks: with the probability one a random walk on the two-dimensional lattice returns to the starting point.
arxiv
Molecular Oncology, EarlyView.Chronic TGF‐β exposure drives epithelial HCC cells from a senescent state to a TGF‐β resistant mesenchymal phenotype. This transition is characterized by the loss of Smad3‐mediated signaling, escape from senescence, enhanced invasiveness and metastatic potential, and upregulation of key resistance modulators such as MARK1 and GRM8, ultimately promoting
Minenur Kalyoncu +11 more
wiley +1 more source
The law of the iterated logarithm for a class of transient random walk in random environment [PDF]
arXiv, 2010 There is a condition (T'), such that it is the necessary condition that a random walk in random environment is ballistic. Under this condition, we show the law of the iterated logarithm for a random walk in random environment.
arxiv
Random walks in a random environment
Proceedings Mathematical Sciences, 2004 Random walks as well as diffusions in random media are considered. Methods are developed that allow one to establish large deviation results for both the `quenched' and the `averaged' case.
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Molecular Oncology, EarlyView.We identified adaptor protein ShcD as upregulated in triple‐negative breast cancer and found its expression to be correlated with reduced patient survival and increased invasion in cell models. Using a proteomic screen, we identified novel ShcD binding partners involved in EGFR signaling pathways.
Hayley R. Lau +11 more
wiley +1 more source
Fractal and FractionalFractal scale-free structures are widely observed across a range of natural and synthetic systems, such as biological networks, internet architectures, and social networks, providing broad applications in the management of complex systems and the ...
Long Gao +4 more
doaj +1 more source