scholarly journals Fluid limit for a genetic mutation model

2019 ◽  
Vol 2 (3-4) ◽  
pp. 147-157
Author(s):  
Carlos Bajo Caraballo ◽  
Ilie Grigorescu
2020 ◽  
Vol 9 (22) ◽  
pp. 8498-8518
Author(s):  
Junjie Jiang ◽  
Yongfeng Ding ◽  
Mengjie Wu ◽  
Yanyan Chen ◽  
Xiadong Lyu ◽  
...  

2018 ◽  
Author(s):  
Jose-Maria Recio-Cordova ◽  
Cecilia Higueruela ◽  
Rocio Caceres ◽  
Maria Garcia-Duque ◽  
Rogelio Gonzalez-Sarmiento ◽  
...  

2020 ◽  
Vol 26 (42) ◽  
pp. 7655-7671 ◽  
Author(s):  
Jinfeng Zou ◽  
Edwin Wang

Background: Precision medicine puts forward customized healthcare for cancer patients. An important way to accomplish this task is to stratify patients into those who may respond to a treatment and those who may not. For this purpose, diagnostic and prognostic biomarkers have been pursued. Objective: This review focuses on novel approaches and concepts of exploring biomarker discovery under the circumstances that technologies are developed, and data are accumulated for precision medicine. Results: The traditional mechanism-driven functional biomarkers have the advantage of actionable insights, while data-driven computational biomarkers can fulfill more needs, especially with tremendous data on the molecules of different layers (e.g. genetic mutation, mRNA, protein etc.) which are accumulated based on a plenty of technologies. Besides, the technology-driven liquid biopsy biomarker is very promising to improve patients’ survival. The developments of biomarker discovery on these aspects are promoting the understanding of cancer, helping the stratification of patients and improving patients’ survival. Conclusion: Current developments on mechanisms-, data- and technology-driven biomarker discovery are achieving the aim of precision medicine and promoting the clinical application of biomarkers. Meanwhile, the complexity of cancer requires more effective biomarkers, which could be accomplished by a comprehensive integration of multiple types of biomarkers together with a deep understanding of cancer.


2020 ◽  
Vol 45 (3) ◽  
pp. 1069-1103
Author(s):  
Anton Braverman

This paper studies the steady-state properties of the join-the-shortest-queue model in the Halfin–Whitt regime. We focus on the process tracking the number of idle servers and the number of servers with nonempty buffers. Recently, Eschenfeldt and Gamarnik proved that a scaled version of this process converges, over finite time intervals, to a two-dimensional diffusion limit as the number of servers goes to infinity. In this paper, we prove that the diffusion limit is exponentially ergodic and that the diffusion scaled sequence of the steady-state number of idle servers and nonempty buffers is tight. Combined with the process-level convergence proved by Eschenfeldt and Gamarnik, our results imply convergence of steady-state distributions. The methodology used is the generator expansion framework based on Stein’s method, also referred to as the drift-based fluid limit Lyapunov function approach in Stolyar. One technical contribution to the framework is to show how it can be used as a general tool to establish exponential ergodicity.


Author(s):  
Xiaoman Zhang ◽  
Qiong Chen ◽  
Yinsen Song ◽  
Pengbo Guo ◽  
Yanhong Wang ◽  
...  
Keyword(s):  

Genetics ◽  
1995 ◽  
Vol 139 (1) ◽  
pp. 463-471 ◽  
Author(s):  
D B Goldstein ◽  
A Ruiz Linares ◽  
L L Cavalli-Sforza ◽  
M W Feldman

Abstract Mutations of alleles at microsatellite loci tend to result in alleles with repeat scores similar to those of the alleles from which they were derived. Therefore the difference in repeat score between alleles carries information about the amount of time that has passed since they shared a common ancestral allele. This information is ignored by genetic distances based on the infinite alleles model. Here we develop a genetic distance based on the stepwise mutation model that includes allelic repeat score. We adapt earlier treatments of the stepwise mutation model to show analytically that the expectation of this distance is a linear function of time. We then use computer simulations to evaluate the overall reliability of this distance and to compare it with allele sharing and Nei's distance. We find that no distance is uniformly superior for all purposes, but that for phylogenetic reconstruction of taxa that are sufficiently diverged, our new distance is preferable.


Sign in / Sign up

Export Citation Format

Share Document