Results 51 to 60 of about 913,345 (341)
A generating function approach to branching random walks
, 2016 It is well known that the behaviour of a branching process is completely described by the generating function of the offspring law and its fixed points.
Bertacchi, Daniela, Zucca, Fabio
core +1 more source
A critical branching process model for biodiversity [PDF]
, 2004 Motivated as a null model for comparison with data, we study the following model for a phylogenetic tree on $n$ extant species. The origin of the clade is a random time in the past, whose (improper) distribution is uniform on $(0,\infty)$.
Aldous, David J., Popovic, Lea
core +2 more sources
Advanced Engineering Materials, EarlyView., 2023 This study aims to explore the feasibility of using a structure inspired by the features of horsetail and human spine as the potential helmet liner, targeting at mitigation of acceleration‐induced injuries. A parametric study is conducted to investigate the effect of individual geometrical variables in the design, indicating its capability to reduce ...
Bing Leng +3 more
wiley +1 more source
Continuous flows driving branching processes and their nonlinear evolution equations
Advances in Nonlinear Analysis, 2022 We consider on M(ℝd) (the set of all finite measures on ℝd) the evolution equation associated with the nonlinear operator F↦ΔF′+∑k⩾1bkFkF \mapsto \Delta F' + \sum\nolimits_{k \geqslant 1} b_k F^k , where F′ is the variational derivative of F and we show
Beznea Lucian, Vrabie Cătălin Ioan
doaj +1 more source
Factorial moments of the critical Markov branching process with geometric reproduction of particles
Modern Stochastics: Theory and Applications, 2022 The factorial moments of any Markov branching process describe the behaviour of its probability generating function $F(t,s)$ in the neighbourhood of the point $s=1$.
Assen Tchorbadjieff, Penka Mayster
doaj +1 more source
Scaling limits of branching random walks and branching stable processes [PDF]
arXiv, 2021 Branching-stable processes have recently appeared as counterparts of stable subordinators, when addition of real variables is replaced by branching mechanism for point processes. Here, we are interested in their domains of attraction and describe explicit conditions for a branching random walk to converge after a proper magnification to a branching ...
arxiv
Frontiers in Oncology, 2013 We present a stochastic model of driver mutations in the transition from severe congenital neutropenia to myelodysplastic syndrome to acute myeloid leukemia (AML). The model has the form of a multitype branching process.
Marek eKimmel, Seth eCorey
doaj +1 more source
Extreme values of critical and subcritical branching stable processes with positive jumps [PDF]
arXiv, 2021 We consider a branching stable process with positive jumps, i.e. a continuous-time branching process in which the particles evolve independently as stable L{\'e}vy processes with positive jumps. Assuming the branching mechanism is critical or subcritical, we compute the asymptotics of the maximum location ever reached by a particle of the process.
arxiv
Turing mechanism underlying a branching model for lung morphogenesis. [PDF]
PLoS ONE, 2017 The mammalian lung develops through branching morphogenesis. Two primary forms of branching, which occur in order, in the lung have been identified: tip bifurcation and side branching.
Hui Xu, Mingzhu Sun, Xin Zhao
doaj +1 more source
Bim Expression Modulates Branching Morphogenesis of the Epithelium and Endothelium
Biomolecules, 2022 Branching morphogenesis is a key developmental process during organogenesis, such that its disruption frequently leads to long-term consequences.
Christine M. Sorenson +6 more
doaj +1 more source