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Journal articles on the topic 'Branching rate'

Author: Grafiati

Published: 25 May 2024

Last updated: 31 July 2025

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1

Klenke, Achim, and Leonid Mytnik. "Infinite rate mutually catalytic branching." Annals of Probability 38, no. 4 (2010): 1690–716. http://dx.doi.org/10.1214/09-aop520.

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2

Döring, Leif, Achim Klenke, and Leonid Mytnik. "Finite system scheme for mutually catalytic branching with infinite branching rate." Annals of Applied Probability 27, no. 5 (2017): 3113–52. http://dx.doi.org/10.1214/17-aap1277.

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3

Liu, Jiaqi, and Jason Schweinsberg. "Particle configurations for branching Brownian motion with an inhomogeneous branching rate." Latin American Journal of Probability and Mathematical Statistics 20, no. 1 (2023): 731. http://dx.doi.org/10.30757/alea.v20-28.

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4

Shiozawa, Yuichi. "Spread Rate of Branching Brownian Motions." Acta Applicandae Mathematicae 155, no. 1 (2017): 113–50. http://dx.doi.org/10.1007/s10440-017-0148-8.

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5

Shiozawa, Yuichi. "Extinction of branching symmetric α-stable processes". Journal of Applied Probability 43, № 4 (2006): 1077–90. http://dx.doi.org/10.1239/jap/1165505209.

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We give a criterion for extinction or local extinction of branching symmetric α-stable processes in terms of the principal eigenvalue for time-changed processes of symmetric α-stable processes. Here the branching rate and the branching mechanism are spatially dependent. In particular, the branching rate is allowed to be singular with respect to the Lebesgue measure. We apply this criterion to some branching processes.

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6

Shiozawa, Yuichi. "Extinction of branching symmetric α-stable processes". Journal of Applied Probability 43, № 04 (2006): 1077–90. http://dx.doi.org/10.1017/s0021900200002448.

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We give a criterion for extinction or local extinction of branching symmetric α-stable processes in terms of the principal eigenvalue for time-changed processes of symmetric α-stable processes. Here the branching rate and the branching mechanism are spatially dependent. In particular, the branching rate is allowed to be singular with respect to the Lebesgue measure. We apply this criterion to some branching processes.

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7

Hu, Xi, Yun-Zhi Yan, Zhong-Tuan Zheng, Hong-Yan Li, and Hong-Yan Zhao. "Extinction Moment for a Branching Tree Evolution with Birth Rate and Death Rate Both Depending on Age." Mathematical Problems in Engineering 2021 (February 10, 2021): 1–13. http://dx.doi.org/10.1155/2021/6643349.

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In this paper, a branching tree evolution is established, in which the birth rate and the death rate are both dependent on node’s age. The extinction probability and the t-pre-extinction (extinct before time t ) probability are studied, by which the distribution of the extinction moment can be given. The analytical formula and the approximation algorithm for the distribution of extinction moment are given; furthermore, the analytical formula and the approximation algorithm of extinction probability are given, and a necessary and sufficient condition of extinction with probability 1 is given. I

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8

Bansaye, Vincent, Juan Carlos Pardo, and Charline Smadi. "Extinction rate of continuous state branching processes in critical Lévy environments." ESAIM: Probability and Statistics 25 (2021): 346–75. http://dx.doi.org/10.1051/ps/2021014.

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We study the speed of extinction of continuous state branching processes in a Lévy environment, where the associated Lévy process oscillates. Assuming that the Lévy process satisfies Spitzer’s condition, we extend recent results where the associated branching mechanism is stable. The study relies on the path analysis of the branching process together with its Lévy environment, when the latter is conditioned to have a non-negative running infimum. For that purpose, we combine the approach developed in Afanasyev et al. [2], for the discrete setting and i.i.d. environments, with fluctuation theor

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9

Spies, J. M., T. Warkentin, and S. Shirtliffe. "Basal branching in field pea cultivars and yield-density relationships." Canadian Journal of Plant Science 90, no. 5 (2010): 679–90. http://dx.doi.org/10.4141/cjps09195.

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The current recommended plant density in field pea (Pisum sativum L.) in western Canada is 88 plants m–2. This rate may exceed the optimum for yield in cultivars with more basal branching than typical. The objective of this research was to determine how the seed yield of pea cultivars differing in basal branching ability responds to changes in plant density. Ten pea cultivars were sown at target plant populations of 10, 30, 90, 120, and 150 plant m–2 for 3 yr at Rosthern and Saskatoon, Saskatchewan. At very low plant densities there was greater than a twofold difference in branching potential

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10

Reni Sagayaraj, M., S. Anand Gnana Selvam, and R. Reynald Susainathan. "A Study of Markov Branching Process with Varying Growth Rate." Asian Journal of Science and Applied Technology 4, no. 1 (2015): 17–20. http://dx.doi.org/10.51983/ajsat-2015.4.1.909.

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Branching processes in random environments occurs when the values of the reproduction probabilities and instantaneous reproduction rates are themselves sample paths of stochastic processes. These processes occur very naturally as models to describe the growth mechanism of biological systems. In this paper, we consider a Markov branching process with varying growth rates controlled by a random environment described by an alternating renewal process; we will derive expression for the mean number of the size of the population.

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11

Mallein, Bastien. "Branching random walk with selection at critical rate." Bernoulli 23, no. 3 (2017): 1784–821. http://dx.doi.org/10.3150/15-bej796.

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12

Watters, Michael K., and Anthony J. F. Griffiths. "Tests of a Cellular Model for Constant Branch Distribution in the Filamentous Fungus Neurospora crassa." Applied and Environmental Microbiology 67, no. 4 (2001): 1788–92. http://dx.doi.org/10.1128/aem.67.4.1788-1792.2001.

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ABSTRACT The growth of mycelial fungi is characterized by the highly polarized extension of hyphal tips and the formation of subapical branches, which themselves extend as new tips. In Neurospora crassa, tip growth and branching are crucial elements for this saprophyte in the colonization and utilization of organic substrates. Much research has focused on the mechanism of tip extension, but a cellular model that fully explains the known phenomenology of branching by N. crassa has not been proposed. We described and tested a model in which the formation of a lateral branch in N. crassa was dete

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13

Golubtsov, G. B., and R. S. Chalov. "COMPARATIVE HYDRO-MORPHOLOGICAL ANALYSIS OF THE ISLANDS OF DIFFERENTLY BRANCHED UPPER OB AND MIDDLE LENA RIVER CHANNELS." Bulletin of Udmurt University. Series Biology. Earth Sciences 30, no. 2 (2020): 164–74. http://dx.doi.org/10.35634/2412-9518-2020-30-2-164-174.

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This article is devoted to the formation conditions and morphometric features of the river islands. Also it considers the rate of branching of the Upper Ob and Middle Lena river channels. They are the largest rivers, but the Middle Lena River is bigger than the Upper Ob River by 6.15 times of total runoff and 2.5 times of width. However, both of them have unstable or weakly stable channels, characterized by parallel-sleeve, alternating, one-sided and single branchings, formed by numerous islands. Their comparison makes it possible to establish the dependence of the conditions of islands format

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14

Xie, Y. J., Xiao Zhi Hu, and X. H. Wang. "A Theoretical Note on Mode I Crack Kinking and Branching." Advanced Materials Research 118-120 (June 2010): 314–18. http://dx.doi.org/10.4028/www.scientific.net/amr.118-120.314.

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An energy-based fracture mode has been derived for the mode I crack kinking and branching. The classic -integral has been further explored by a new partial integral path and the analytical solution of the energy release rate for crack kinking and branching from a mode-I crack tip has been established. The crack kinking/branching angle has also been analytically derived. It shows that the Griffith’s theorem and conservation law can be applied to both model I crack extension and model I crack kinking and branching. The branching mechanism for quasi-static mode-I crack has been theoretically inve

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15

Girija, K. K., and Antony Joseph. "Role of shape and quadrupole deformation of parents in the cluster emission of rare earth nuclei." International Journal of Modern Physics E 23, no. 01 (2014): 1450002. http://dx.doi.org/10.1142/s0218301314500025.

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The nuclear structure effects on α decay and cluster emission are investigated in the case of even–even rare earth nuclei150–160Dy ,150–160Er ,150–160Yb ,158,162,166–176Hf ,160,164–178W and162,166,170–180Os . The role of shape and deformation of parent nuclei in the decay rate is studied by taking the Coulomb and proximity potentials as the interacting barrier for the post scission configuration. The quadrupole deformation of parent nuclei causes a slight change in the half-life of α emissions, but it affects the rate of heavy cluster emissions significantly. Prolate deformation of parents enh

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16

Minh, Nguyen Thai, Le Quang Thien, Nguyen Sinh Hien, and Nguyen Hoang Ha. "Using self -suture branching artificial vesssels in aortic arch surgery at Hanoi Heart Hospital." Tạp chí Phẫu thuật Tim mạch và Lồng ngực Việt Nam 35 (January 6, 2022): 158–64. http://dx.doi.org/10.47972/vjcts.v35i.696.

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Background: For aortic arch surgery, the improvement of anastomosis technique, and the improvement of using self-suture branching artificial vessels have shortened the time and reduced the cost of surgery. The study aimed to evaluate the improved results of using self-suture branched artificial vessels in aortic arch surgery. Methods: A retrospective descriptive study of the use of self-suture branching artificial vessels in aortic arch surgery at Hanoi Heart Hospital from October 2018 to May 2021. Results: There were 33 cases of aortic arch replacement using self-suture branching

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17

Khusanbaev, Ya, S. Sharipov, and V. Golomoziy. "Berry-Esseen bound for nearly critical branching processes with immigration." Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics, no. 4 (2019): 42–49. http://dx.doi.org/10.17721/1812-5409.2019/4.5.

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18

Neuhauser, Claudia, and Aidan Sudbury. "The biased annihilating branching process." Advances in Applied Probability 25, no. 1 (1993): 24–38. http://dx.doi.org/10.2307/1427494.

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In the biased annihilating branching process, particles place offspring on empty neighboring sites at rate A and destroy neighbors at rate 1. It is conjectured that for any λ ≥ 0 the population will spread to ∞, and this is shown in one dimension for The process on a finite graph when starting with a non-empty configuration has limiting distribution vλ /(λ +1), the product measure with density λ/(1 +λ). It is shown that vλ /(λ +1) and δ Ø are the only stationary distributions on Moreover, if and the initial configuration is non-empty, then the limiting measure is vλ /(λ +1) provided the initia

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19

Neuhauser, Claudia, and Aidan Sudbury. "The biased annihilating branching process." Advances in Applied Probability 25, no. 01 (1993): 24–38. http://dx.doi.org/10.1017/s0001867800025155.

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In the biased annihilating branching process, particles place offspring on empty neighboring sites at rate A and destroy neighbors at rate 1. It is conjectured that for any λ ≥ 0 the population will spread to ∞, and this is shown in one dimension for The process on a finite graph when starting with a non-empty configuration has limiting distribution v λ /(λ +1), the product measure with density λ/(1 +λ). It is shown that v λ /(λ +1) and δ Ø are the only stationary distributions on Moreover, if and the initial configuration is non-empty, then the limiting measure is v λ /(λ +1) provided the ini

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20

Schmitz, Y., J. Luccarelli, M. Kim, M. Wang, and D. Sulzer. "Glutamate Controls Growth Rate and Branching of Dopaminergic Axons." Journal of Neuroscience 29, no. 38 (2009): 11973–81. http://dx.doi.org/10.1523/jneurosci.2927-09.2009.

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21

Oehlschlaeger, Matthew A., David F. Davidson, and Ronald K. Hanson. "Thermal decomposition of toluene: Overall rate and branching ratio." Proceedings of the Combustion Institute 31, no. 1 (2007): 211–19. http://dx.doi.org/10.1016/j.proci.2006.07.002.

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22

FU, YunBin, YunZhi YAN, Xi HU, HanXing WANG, GuiLin LU, and Na YU. "Birth-death branching tree with age-dependent birth-rate." SCIENTIA SINICA Mathematica 43, no. 4 (2013): 383–98. http://dx.doi.org/10.1360/012012-477.

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23

Kashikar, Akanksha S. "Estimation of growth rate in second order branching process." Journal of Statistical Planning and Inference 191 (December 2017): 1–12. http://dx.doi.org/10.1016/j.jspi.2017.06.003.

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24

Huang, Ying, and Arthur F. Veinott. "Markov Branching Decision Chains with Interest-Rate-Dependent Rewards." Probability in the Engineering and Informational Sciences 9, no. 1 (1995): 99–121. http://dx.doi.org/10.1017/s0269964800003715.

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Finite-state-and-action Markov branching decision chains are studied with bounded endogenous expected population sizes and interest-rate-dependent one-period rewards that are analytic in the interest rate at zero. The existence of a stationary strong-maximum-present-value policy is established. Miller and Veinott's [1969] strong policy-improvement method is generalized to find in finite time a stationary n-present-value optimal policy and, when the one-period rewards are rational in the interest rate, a stationary strong-maximum-present-value policy. This extends previous studies of Blackwell

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25

Getan, A., S. Molchanov, and B. Vainberg. "Intermittency for branching walks with heavy tails." Stochastics and Dynamics 17, no. 06 (2017): 1750044. http://dx.doi.org/10.1142/s0219493717500447.

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Branching random walks on multidimensional lattice with heavy tails and a constant branching rate are considered. It is shown that under these conditions (heavy tails and constant rate), the front propagates exponentially fast, but the particles inside of the front are distributed very non-uniformly. The particles exhibit intermittent behavior in a large part of the region behind the front (i.e. the particles are concentrated only in very sparse spots there). The zone of non-intermittency (were particles are distributed relatively uniformly) extends with a power rate. This rate is found.

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26

Dell’Aquila, D., I. Lombardo, L. Redigolo, et al. "Radiative Decay Branching Ratio of the Hoyle State in ¹²C via Charged Particle Coincidence Techniques." EPJ Web of Conferences 311 (2024): 00010. http://dx.doi.org/10.1051/epjconf/202431100010.

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The properties of the Hoyle state in 12C (7.654 MeV, 0+) affect the rate at which carbon, one of the most abundant elements in the Universe, is forged in stars. Recent experiments reported values of its radiative decay branching ratio that are in tension, posing major implications especially in the astrophysical domain. This work reports on an almost background-free measurement of the radiative decay branching ratio of the Hoyle state that exploits charged particle coincidence techniques. The experiment adopts several methodologies to minimize the background and identify the rare signal associ

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27

Huillet, Thierry E. "Nonconservative Diffusions on with Killing and Branching: Applications to Wright-Fisher Models with or without Selection." International Journal of Stochastic Analysis 2011 (July 18, 2011): 1–37. http://dx.doi.org/10.1155/2011/605068.

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We consider nonconservative diffusion processes on the unit interval, so with absorbing barriers. Using Doob-transformation techniques involving superharmonic functions, we modify the original process to form a new diffusion process presenting an additional killing rate part . We limit ourselves to situations for which is itself nonconservative with upper bounded killing rate. For this transformed process, we study various conditionings on events pertaining to both the killing and the absorption times. We introduce the idea of a reciprocal Doob transform: we start from the process , apply the

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28

YU, WEI, LUYAO XU, SHUNJIA CHEN, and FENG YAO. "NUMERICAL STUDY ON FLOW BOILING IN A TREE-SHAPED MICROCHANNEL." Fractals 27, no. 07 (2019): 1950111. http://dx.doi.org/10.1142/s0218348x19501111.

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A two-dimensional model is developed to numerically study the water flow boiling through a tree-shaped microchannel by VOF method. In this work, the bubble dynamics and flow patterns along the channel are examined. Additionally, the pressure drop, heat transfer performance and the effects of mass flow rate and heat flux on the heat transfer coefficient are analyzed and discussed. The numerical results indicate that, there are three main bubble dynamic behaviors at the wall, namely coalesce-lift-off, coalesce-slide and coalesce-reattachment. At the bifurcation in high branching level, the slug

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29

Lv, You, and Huaping Huang. "The Asymptotic Behavior for Generalized Jiřina Process." Axioms 12, no. 1 (2022): 13. http://dx.doi.org/10.3390/axioms12010013.

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As the classic branching process, the Galton-Watson process has obtained intensive attentions in the past decades. However, this model has two idealized assumptions–discrete states and time-homogeneity. In the present paper, we consider a branching process with continuous states, and for any given n∈N, the branching law of every particle in generation n is determined by the population size of generation n. We consider the case that the process is extinct with Probability 1 since in this case the process will be substantially different from the size-dependent branching process with discrete sta

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30

Allen, Frances I. "Branched High Aspect Ratio Nanostructures Fabricated by Focused Helium Ion Beam Induced Deposition of an Insulator." Micromachines 12, no. 3 (2021): 232. http://dx.doi.org/10.3390/mi12030232.

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Helium ion beam induced deposition using the gaseous precursor pentamethylcyclopentasiloxane is employed to fabricate high aspect ratio insulator nanostructures (nanopillars and nanocylinders) that exhibit charge induced branching. The branched nanostructures are analyzed by transmission electron microscopy. It is found that the side branches form above a certain threshold height and that by increasing the flow rate of the precursor, the vertical growth rate and branching phenomenon can be significantly enhanced, with fractalesque branching patterns observed. The direct-write ion beam nanofabr

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31

Noren, David, Harvey J. Palmer, and Mary D. Frame. "Predicted wall shear rate gradients in T‐type arteriolar bifurcations." Biorheology: The Official Journal of the International Society of Biorheology 37, no. 5-6 (2000): 325–40. http://dx.doi.org/10.1177/0006355x2000037005006008.

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The purpose of this study was to examine the theoretical impact of the local bifurcation geometry on the shear rate gradient in a divergent arteriolar‐type bifurcation. Newtonian flow through an arteriolar bifurcation was modeled using 3‐dimensional computational fluid dynamics (CFD). Branching angles of 30○, 50○, 70○, 90○, 110○, 130○, and 150○ were studied at a Reynolds number (Re) of 0.01 in seven separate models. Both the flow split (30%) and the branch to main vessel diameter ratio (4/5) were held constant. Velocity profiles were predicted to deviate significantly from a parabolic form, bo

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32

Brémaud, Pierre, and Laurent Massoulié. "Hawkes branching point processes without ancestors." Journal of Applied Probability 38, no. 1 (2001): 122–35. http://dx.doi.org/10.1239/jap/996986648.

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In this article, we prove the existence of critical Hawkes point processes with a finite average intensity, under a heavy-tail condition for the fertility rate which is related to a long-range dependence property. Criticality means that the fertility rate integrates to 1, and corresponds to the usual critical branching process, and, in the context of Hawkes point processes with a finite average intensity, it is equivalent to the absence of ancestors. We also prove an ergodic decomposition result for stationary critical Hawkes point processes as a mixture of critical Hawkes point processes, and

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Brémaud, Pierre, and Laurent Massoulié. "Hawkes branching point processes without ancestors." Journal of Applied Probability 38, no. 01 (2001): 122–35. http://dx.doi.org/10.1017/s0021900200018556.

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In this article, we prove the existence of critical Hawkes point processes with a finite average intensity, under a heavy-tail condition for the fertility rate which is related to a long-range dependence property. Criticality means that the fertility rate integrates to 1, and corresponds to the usual critical branching process, and, in the context of Hawkes point processes with a finite average intensity, it is equivalent to the absence of ancestors. We also prove an ergodic decomposition result for stationary critical Hawkes point processes as a mixture of critical Hawkes point processes, and

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34

Meng, Xinzhu, Yang Yang, and Shengnan Zhao. "Adaptive Evolution of Virulence-Related Traits in a Susceptible-Infected Model with Treatment." Abstract and Applied Analysis 2014 (2014): 1–10. http://dx.doi.org/10.1155/2014/891401.

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Evolution problem is now a hot topic in the mathematical biology field. This paper investigates the adaptive evolution of pathogen virulence in a susceptible-infected (SI) model under drug treatment. We explore the evolution of a continuous trait, virulence of a pathogen, and consider virulence-dependent cure rate (recovery rate) that dramatically affects the outcome of evolution. With the methods of critical function analysis and adaptive dynamics, we identify the evolutionary conditions for continuously stable strategies, evolutionary repellers, and evolutionary branching points. First, the

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35

Kiayias, Aggelos, Nikos Leonardos, Helger Lipmaa, Kateryna Pavlyk, and Qiang Tang. "Optimal Rate Private Information Retrieval from Homomorphic Encryption." Proceedings on Privacy Enhancing Technologies 2015, no. 2 (2015): 222–43. http://dx.doi.org/10.1515/popets-2015-0016.

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Abstract We consider the problem of minimizing the communication in single-database private information retrieval protocols in the case where the length of the data to be transmitted is large. We present first rate-optimal protocols for 1-out-of-n computationallyprivate information retrieval (CPIR), oblivious transfer (OT), and strong conditional oblivious transfer (SCOT). These protocols are based on a new optimalrate leveled homomorphic encryption scheme for large-output polynomial-size branching programs, that might be of independent interest. The analysis of the new scheme is intricate: th

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Brummer, Alexander B., Panagiotis Lymperopoulos, Jocelyn Shen, et al. "Branching principles of animal and plant networks identified by combining extensive data, machine learning and modelling." Journal of The Royal Society Interface 18, no. 174 (2021): 20200624. http://dx.doi.org/10.1098/rsif.2020.0624.

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Branching in vascular networks and in overall organismic form is one of the most common and ancient features of multicellular plants, fungi and animals. By combining machine-learning techniques with new theory that relates vascular form to metabolic function, we enable novel classification of diverse branching networks—mouse lung, human head and torso, angiosperm and gymnosperm plants. We find that ratios of limb radii—which dictate essential biologic functions related to resource transport and supply—are best at distinguishing branching networks. We also show how variation in vascular and bra

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Ishida, A. T., and M. H. Cheng. "Synchronous neurite branchings in single goldfish retinal ganglion cells." Visual Neuroscience 6, no. 5 (1991): 537–49. http://dx.doi.org/10.1017/s0952523800001371.

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AbstractWe have examined the time course of branch formation in neurites of retinal ganglion cells isolated from adult goldfish (Carassius auratus). These neurites elongate at approximately 13 μm/h, and usually branch by bifurcation of growth cones at their tips. The times elapsed between branchings in different neurites of single cells can be described by a Poisson distribution with a mean interval of approximately 2 h. As predicted by this distribution, a relatively large number of branchings occur simultaneously in different neurites of individual cells. Simultaneous branchings of neurites

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van Tuyl, Minke, Jason Liu, Jinxia Wang, Maciek Kuliszewski, Dick Tibboel, and Martin Post. "Role of oxygen and vascular development in epithelial branching morphogenesis of the developing mouse lung." American Journal of Physiology-Lung Cellular and Molecular Physiology 288, no. 1 (2005): L167—L178. http://dx.doi.org/10.1152/ajplung.00185.2004.

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Recent investigations have suggested an active role for endothelial cells in organ development, including the lung. Herein, we investigated some of the molecular mechanisms underlying normal pulmonary vascular development and their influence on epithelial branching morphogenesis. Because the lung in utero develops in a relative hypoxic environment, we first investigated the influence of low oxygen on epithelial and vascular branching morphogenesis. Two transgenic mouse models, the C101-LacZ (epithelial-LacZ marker) and the Tie2-LacZ (endothelial-LacZ marker), were used. At embryonic day 11.5,

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Fleischer, Robert. "Probing new physics with $B^0_s\to\mu^+\mu^-$: Status and perspectives." International Journal of Modern Physics A 29, no. 21 (2014): 1444004. http://dx.doi.org/10.1142/s0217751x14440047.

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The rare decay [Formula: see text] plays a key role for the testing of the Standard Model. It is pointed out that the sizable decay width difference ΔΓsof the Bs-meson system affects this channel in a subtle way. As a consequence, its calculated Standard Model branching ratio has to be upscaled by about 10%. Moreover, the sizable ΔΓsmakes a new observable through the effective [Formula: see text] lifetime accessible, which probes New Physics in a way complementary to the branching ratio and adds an exciting new topic to the agenda for the high-luminosity upgrade of the LHC. Further probes of N

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40

Жураев, Ш. Ю., and А. Ф. Алиев. "Estimates of the convergence rate in the limit theorems on transition phenomena for branching random processes." Вестник КРАУНЦ. Физико-математические науки, no. 3 (November 22, 2021): 15–28. http://dx.doi.org/10.26117/2079-6641-2021-36-3-15-28.

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В данной работе рассматриваются ветвящиеся случайные процессы с дискретным временем в двух предположениях: в начальный момент времени имеется одна частица или в начальный момент времени существует большое число частиц. В переходных явлениях для таких ветвящихся случайных процессов получены оценки скорости сходимости условных законов распределений к предельному распределению. We consider branching random processes with discrete time in two assumptions: at the initial moment of time there is one particle and there are large number of particles. In transition phenomena for such branching random p

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41

Alekseev, A. A., K. N. Bol’shev, V. A. Ivanov, A. S. Syromyatnikova, A. M. Bol’shakov, and A. R. Ivanov. "Experimental Determination of the Rate of Crack Branching in Steel." Russian Metallurgy (Metally) 2020, no. 10 (2020): 1222–24. http://dx.doi.org/10.1134/s0036029520100031.

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42

HOPFNER, R., M. HOFFMANN, and E. LOCHERBACH. "Non-parametric Estimation of the Death Rate in Branching Diffusions." Scandinavian Journal of Statistics 29, no. 4 (2002): 665–92. http://dx.doi.org/10.1111/1467-9469.00312.

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Bédard-Tremblay, Laurie, Josue Melguizo-Gavilanes, and Luc Bauwens. "Detonation structure under chain-branching kinetics with small initiation rate." Proceedings of the Combustion Institute 32, no. 2 (2009): 2339–47. http://dx.doi.org/10.1016/j.proci.2008.05.049.

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Lei, Wenfeng, Dan Zhang, Renyi Zhang, Luisa T. Molina, and Mario J. Molina. "Rate constants and isomeric branching of the Cl–isoprene reaction." Chemical Physics Letters 357, no. 1-2 (2002): 45–50. http://dx.doi.org/10.1016/s0009-2614(02)00437-2.

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Klenke, Achim, and Mario Oeler. "A Trotter-type approach to infinite rate mutually catalytic branching." Annals of Probability 38, no. 2 (2010): 479–97. http://dx.doi.org/10.1214/09-aop488.

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Klippenstein, Stephen J., Lawrence B. Harding, Peter Glarborg, Yide Gao, Huanzhen Hu, and Paul Marshall. "Rate Constant and Branching Fraction for the NH2 + NO2 Reaction." Journal of Physical Chemistry A 117, no. 37 (2013): 9011–22. http://dx.doi.org/10.1021/jp4068069.

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Cayco-Gajic, N. Alex, and Eric Shea-Brown. "Neutral Stability, Rate Propagation, and Critical Branching in Feedforward Networks." Neural Computation 25, no. 7 (2013): 1768–806. http://dx.doi.org/10.1162/neco_a_00461.

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Abstract:

Recent experimental and computational evidence suggests that several dynamical properties may characterize the operating point of functioning neural networks: critical branching, neutral stability, and production of a wide range of firing patterns. We seek the simplest setting in which these properties emerge, clarifying their origin and relationship in random, feedforward networks of McCullochs-Pitts neurons. Two key parameters are the thresholds at which neurons fire spikes and the overall level of feedforward connectivity. When neurons have low thresholds, we show that there is always a con

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Larsson, Sara, Tobias Rydén, Ulla Holst, Stina Oredsson, and Maria Johansson. "Estimating the Total Rate of DNA Replication Using Branching Processes." Bulletin of Mathematical Biology 70, no. 8 (2008): 2177–94. http://dx.doi.org/10.1007/s11538-008-9339-9.

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Wang, Ling, Limin Yang, Fan Zhang, Dongyang Dai, Di Wang, and Yunyan Sheng. "Major QTL Mapping and Candidate Gene Analysis of Branching Number Habits in Cucumis melo." Agronomy 14, no. 12 (2024): 3012. https://doi.org/10.3390/agronomy14123012.

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Branching number (BN) is a crucial architectural trait in Cucumis melo. Because of its multiple branch habits, much more labour costs are needed in melon production. However, the genetic mechanism of branching numbers in melon is not clear. Here, a genetic population from multiple branching material S8 (only two branching number in the first node) as the female line and S7 (multiple branching numbers in each node; more than nine branch numbers) as the male parent is used to make a cross F2:3 generation. By performing QTL mapping based on bulked segregate analysis (BSA) after two years, a candi

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Singh, Sumit Randhir, Prakhar Goyal, Deepika C. Parameswarappa, Abhilash Goud, and Jay Chhablani. "Angiographic features of polypoidal choroidal vasculopathy using indocyanine green angiography and optical coherence tomography angiography: A comparative study." European Journal of Ophthalmology 30, no. 5 (2019): 1076–81. http://dx.doi.org/10.1177/1120672119850075.

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Background: To compare the vascular lesion size using optical coherence tomography angiography and indocyanine green angiography in eyes with polypoidal choroidal vasculopathy. Methods: Treatment-naïve cases (46 eyes of 44 patients) with polypoidal choroidal vasculopathy were retrospectively analyzed. The comparison of mean area of branching vascular network and polyp detection rate was done between indocyanine green angiography and optical coherence tomography angiography and correlated with various optical coherence tomography features. Results: The mean age of the study patients was 62.33 ±

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