Branching Processes
Calculating hazard rates of introgression with branching processes
... Chapter 4 presents procedures for incorporating multiple loci and alleles into hazard rate calculations. It shows how the linkage of a transgene to some quantita- tive trait locus can a↵ect the hazard rate. In addition, ...
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An investigation of cognitive 'branching' processes in major depression
... the branching condition and those leading up to it in MDD was equiva- lent to the control ...in branching processes is accompanied by abnormal activity or metabolism in the anterior prefrontal cortex ...
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On expected durations of birth death processes with applications to branching processes and SIS epidemics
... type processes with particular emphasis upon branching processes and SIS (susceptible → infective → susceptible) epidemic ...death processes, as many birth-death processes do not ...
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Decomposition of Supercritical Linear Fractional Branching Processes
... The Bienaymé-Galton-Watson (BGW-) process is a basic model for the stochastic dynamics of the size of a population formed by independently reproducing partic- les. It has a long history [1] with its origin dating back to ...
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Ventilation systems failure prediction on the basis of the stochastic branching processes mathematical model
... The task of ensuring the reliability and durability of ventilation systems under the current increasing financial and material constraints stipulates for further improvement of state assessment methods and their ...
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Interacting Markov branching processes
... Markov Processes. Applications of Markov Processes are investigated by many scientists, Jagers [1975] for example ...Markov branching processes, each particles or members are assumed to be ...
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Stochastic monotonicity and continuity properties of functions defined on Crump Mode Jagers branching processes, with application to vaccination in epidemic modelling
... situation of controlling an epidemic that is in its increasing phase. A different situation arises with diseases, such as measles and mumps, which are controlled by mass vacci- nation but small outbreaks still occur ...
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Numerical approximation of general Lipschitz BSDEs with branching processes
... The main idea of [3] was to approximate the driver function by local polynomials and use a Picard iteration argument so as to reduce the problem to solving BSDE’s with (stochastic) global polynomial drivers, see Section ...
21
Random sums of random vectors and multitype families of productive individuals
... of branching process can be represented as a random sum has been ...of branching models makes it possible to investigate new variables related to the genealogy of the process to study more general ...
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RETRACTED ARTICLE: Alteration of astrocytes and Wnt/β-catenin signaling in the frontal cortex of autistic subjects
... reduced branching processes and total branch lengths, and as well the astrocytic cell body sizes were sig- nificantly decreased in comparison with the ...
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Maximum Likelihood Estimators for a Supercritical Branching Diffusion Process
... for branching processes as well as for the diffusion process separately; we essentially consider both aspects together via a measure-valued process describing the particle configuration at any ...
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Central limit theorems for the spectra of classes of random fractals
... The main technical tool we develop is a central limit theorem for the general Crump-Mode- Jagers branching process. In our setting the random fractal sets, the random Cantor set boundary of the string, or the ...
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Granulocyte macrophage colony stimulating factor promotes differentiation and survival of human peripheral blood dendritic cells in vitro
... If GM-CSF was added directly to cultures of unfractionated peripheral blood mononuclear cells, scattered cells with branching processes regularly appeared within a few days not shown.. D[r] ...
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Duality and fixation in Ξ Wright Fisher processes with frequency dependent selection
... coalescing/branching processes where single lineages, when traced backwards in time, may split into one true and one (or two, in some forms of balancing selection, see [20, 25]) virtual parental lines, at ...
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Spectral asymptotics for stable trees
... related branching processes, it might also be hoped that a central limit theorem-type result of the following form holds, establishing the second order term for the eigenvalue counting function of α -stable ...
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Establishment of New Mutations in Changing Environments
... time-dependent branching processes to derive simple approximations for the establishment probability of new mutations assuming that temporal changes in the offspring distribution are ...
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Probabilistic study of a dynamical system
... `multiplicative' martingales and that `taking logs' provides a link between the two, goes back to McKean's famous paper [8] on the FKPP equation. See also Neveu's equally signi®cant paper [9] and Bramson's very deep ...
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Model Diatom Population by Branching Stochastic Processes
... chl-a contained in it [6, 8]. In the considered BPBH it is impossible simultaneous birth, death and offspring-production of the particle. Every particle is of zero age at birth. This allows the use of some basic theorems ...
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Numerical Approximation of Real Finite Nonnegative Function by the Modulus of Discrete Fourier Transform
... To find the branching points (lines) of solutions of (8), it is necessary, as opposed to [3, 17], to solve not enough studied multiparametric spectral problem. The offered in this work approaches allow to find the ...
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A perfusion independent role of blood vessels in determining branching stereotypy of lung airways
... airway branching, highlighting their spatially restricted patterns of expression, most importantly of mesenchymal FGF10 (Bellusci et ...(A/P) branching, which was performed as described in Materials and ...
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