Spatial stochastic models of cancer: Fitness, migration, invasion by Natalia L. Komarova

“…We furtherdemonstrate that the neutral ridges (the set of all types with theinvasion probability equal to that of the host cells) remain invariantunder the increase of system size (for large system sizes), thusmaking the invasion probability a universal characteristic of thecells' selection status. …”
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Ground-Air Traffic Congestion Propagation Model Based on Hierarchical Control Interdependent Network by Furong Jiang, Zhaoning Zhang, Xiaoxu Dai

“…Finally, a high propagation probability among adjacent terminals and a high recovery probability are identified at the network system level. …”
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Assessment of Durability of Concrete Structure Subject to Carbonation with Application of Safety Factor by Seung-Woo Pack, Min Sun Jung, Jun Won Kang, Ki Yong Ann, Janghwan Kim

“…Goodness-of-fit tests were used to obtain optimal probability distributions for carbonation depths and cover depths. …”
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Disordered and Multiple Destinations Path Planning Methods for Mobile Robot in Dynamic Environment by Yong-feng Dong, Hong-mei Xia, Yan-cong Zhou

“…It can calculate the crossover probability and mutation probability adaptively changing with environment at any time. …”
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Expressiveness of Commutative Quantum Circuits: A Probabilistic Approach by Jorge M. Ramirez, Elaine Wong, Caio Alves, Sarah Chehade, Ryan Bennink

“…Based on the Fourier series representation of these circuits, we express quantum expectation and pairwise fidelity as characteristic functions of random variables, and we characterize expressiveness as the recurrence probability of a random walk on a lattice. A central outcome of our work includes formulas to approximate the frame potential and expressiveness for any commutative quantum circuit, underpinned by convergence theorems in the probability theory. …”
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The Impact of Microearthquakes Induced by Reservoir Water Level Rise on Stability of Rock Slope by Dongliang Li, Xinrong Liu, Xingwang Li, Yongquan Liu

“…Under the same failure probability, as the number of microearthquake occurrences increases, the safety factor of slope under microearthquake action decreases gradually.…”
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Effects of COVID-19 on Coffee Market Participation of Smallholder Coffee Producers’ in Godere District, Southwestern Ethiopia by Temesgen Kabeta, Mabiratu Dangia

“…Most of the coffee producers agreed that COVID-19 affected their probability of coffee market participation because concerned stakeholders in the sector were not well subsidized to recover from the depression. …”
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Restricted Boltzmann Machine-Assisted Estimation of Distribution Algorithm for Complex Problems by Lin Bao, Xiaoyan Sun, Yang Chen, Guangyi Man, Hui Shao

“…The visible layer’s probability of the RBM is designed as the sampling probability model of the estimation of distribution algorithm (EDA) and is updated dynamically along with the update of the dominant subsets. …”
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Marshall–Olkin Extended Gumbel Type-II Distribution: Properties and Applications by Farwa Willayat, Naz Saud, Muhammad Ijaz, Anita Silvianita, Mahmoud El-Morshedy

“…Due to the advance computer technology, the use of probability distributions has been raised up to solve the real life problems. …”
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The mean and noise of stochastic gene transcription with cell division by Qi Wang, Lifang Huang, Kunwen Wen, Jianshe Yu

“…Our results show that the steady-state mRNA noise with symmetric cell division is less than that with binomial inheritance with probability 0.5, but the steady-state mean transcript level with symmetric division is always equal to that with binomial inheritance with probability 0.5. …”
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Sufficient statistics for the Pareto distribution parameter by I. S. Pulkin, A. V. Tatarintsev

“…For the product of the sample elements considered as a random variable the distribution function and probability density are found; mathematical expectation, higher moments, and differential entropy are calculated. …”
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Shape Prior Embedded Level Set Model for Image Segmentation by Wansuo Liu, Dengwei Wang, Wenjun Shi

“…The purpose of the probability weighting is to introduce region information into the edge stop function to enhance the model’s ability to capture weak edges. …”
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The Applicability of Bipartite Graph Model for Thunderstorms Forecast over Kolkata by Sutapa Chaudhuri, Anirban Middey

“…Method of conditional probability is implemented to ascertain the possibilities of the occurrence of thunderstorms within the ranges of the threshold values. …”
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Quantifying the survival uncertainty of Wolbachia-infected mosquitoes in a spatial model by Martin Strugarek, Nicolas Vauchelet, Jorge P. Zubelli

“…We note that it is hard to have an invasion in such case. 2) How many release points does one need to have sufficiently high probability of invasion? 3) What happens if one accounts for uncertainty in the release protocol (e.g. unequal spacing among release points)?…”
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Dynamic Reliability Evaluation on Foundation of Stone Cutting Machine under Ambient Excitation by Jianjun Liu, Qiang Fu, Jiarui Shi, Xiao Li, Xueji Cai, Zilong Meng, Jiyi Mi

“…After getting the detected data, a fast identified process is available for fastly identifying the dynamic parameter foundation of stone cutting machine by using the peak-picking method, in which the natural frequency of foundation is able to be first identified by the equivalent frequency response function for the self-power spectrum of the foundation; subsequently, the damping ratio of the foundation, on the basis of the previous result of natural frequency, is identified by the half-power broadband technology; eventually, after obtaining these dynamic parameters identified, the failure probability of the foundation and its corresponding dynamic reliability index, under ambient excitation, is capable to be calculated based on the first-passage probability of the maximum response. …”
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Seismic Damage Analysis of Large-Span Tied-Arch Bridge with Concrete-Filled Steel Tubes Subjected to Near-Fault Ground Motion by Yingzhi Xia, Jiawei Liu, Hui Li, Guoping Hu

“…The performance of the bridge was analyzed in terms of displacement, overall response, internal force changes, and damage probability considering the various near-fault and non-near-fault ground motions when imposing load onto the bridge. …”
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How does foreign accent affect template matching mechanisms? ERP evidence from Polish by Hanna Kędzierska

“…In native-accented speech, violations of high cloze probability items resulted in a broadly distributed negativity followed by a P600 effect. …”
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A Phoenix++ Based New Genetic Algorithm Involving Mechanism of Simulated Annealing by Luokai Hu, Jin Liu, Chao Liang, Fuchuan Ni, Hang Chen

“…This characteristic guarantees our proposed algorithm has a higher probability of getting the global optimal solution than traditional genetic algorithms. …”
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Primordial black holes from effective field theory of stochastic single field inflation at NNNLO by Sayantan Choudhury, Ahaskar Karde, Pankaj Padiyar, M. Sami

“…In the diffusion-dominated limit, we numerically compute the probability distribution featuring exponential tails at each order of perturbative treatment.…”
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Risk of childlessness in help-seeking men with Peyronie's disease-A Swedish longitudinal study. by Ralf Kuja-Halkola, Lars Henningsohn, Brendan Zietsch, Henrik Larsson, Martin Cederlöf

“…We found that the probability of childlessness was somewhat lowered for men with PD aged between 35 and 71 years at end of follow-up. …”
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