Results 91 to 100 of about 159,216 (306)
Probabilistic study of a dynamical system [PDF]
This paper investigates the relation between a branching process and a non-linear dynamical system in C2. This idea has previously been fruitful in many investigations, including that of the FKPP equation by McKean, Neveu, Bramson, and others.
Warren, Jon, Williams, D.
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Longtime behavior of a branching process controlled by branching catalysts [PDF]
The model under consideration is a catalytic branching model constructed in [DF96], where the catalysts themselves suffer a spatial branching mechanism. Main attention is paid to dimension d=3. The key result is a convergence theorem towards a limit with
Weierstrass-Institut fuer Angewandte Analysis und Stochastik (WIAS) im Forschungsverbund Berlin e.V. (Germany) +2 more
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Translating whole‐genome doubling into precision medicine in cancer
Whole‐genome doubling creates a WGD‐positive tumor state characterized by persistent chromosomal instability, karyotypic diversification, and cellular stress. These same biological pressures drive aggressive tumor evolution while exposing therapeutic vulnerabilities, providing a rationale for WGD‐informed precision medicine. Whole‐genome doubling (WGD)
Sejung Lee, Junghyeok Lim, Jinhyuk Bhin
wiley +1 more source
Two sets of execution traces from two object-oriented applications: CrossFTP (an FTP client), Columba (an email client). An event in an execution trace denotes one method call from on object in the application (to itself or to another object). Each trace
Lo, David +4 more
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Single‐cell DNA methylation (scDNAme) profiling maps epimutational clonal evolution, revealing mechanisms of malignancy and therapeutic resistance across diverse cancer types. By providing a high‐resolution landscape of intratumoral heterogeneity, these technologies empower precise patient stratification, guide the development of enhanced ...
Ik Soo Kim
wiley +1 more source
A Long Range Dependence Stable Process and an Infinite Variance Branching System [PDF]
We prove a functional limit theorem for the rescaled occupation time fluctuations of a (d, , )- branching particle system (particles moving in Rd according to a symmetric -stable L´evy process, branching law in the domain of attraction of a (1 + )-stable
Luis G. Gorostiza +2 more
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On the Critical Parameters of Branching Random Walks
Given a discrete spatial structure X, we define continuous-time branching processes {ηt}t≥0 that model a population breeding and dying on X. These processes are usually called branching random walks, and ηt(x) denotes the number of individuals alive at ...
Daniela Bertacchi, Fabio Zucca
doaj +1 more source
Convergence Rates and Limit Theorems for the Dual Markov Branching Process
This paper studies aspects of the Siegmund dual of the Markov branching process. The principal results are optimal convergence rates of its transition function and limit theorems in the case that it is not positive recurrent.
Anthony G. Pakes
doaj +1 more source
PANoptosis in the pathogenesis of myelodysplastic syndromes
PANoptosis, a combination of three types of programmed cell death, is mediated by a large protein complex called a PANoptosome. In healthy bone marrow hematopoietic cells, PANoptosis is restricted by inhibitory signaling. In MDS, bone marrow cells become sensitive to the PANoptotic stimuli due to the aberrant inactivation of inhibitory signaling or ...
Rohit Thalla +4 more
wiley +1 more source
Functional Limit Theorems for Occupation Time Fluctuations of Branching Systems in the Cases of Large and Critical Dimensions [PDF]
Functional central limit theorem; Occupation time fluctuation; Branching particle system; Generalized Wiener process; Critical ...
Luis G. Gorostiza +2 more
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