Yu Liu

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Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ A Precise Time Step Integration Method 1994 Wei Zhong
Frederick W. Williams
2
+ Models of dispersal in biological systems 1988 Hans G. Othmer
Steven R. Dunbar
Wolfgang Alt
1
+ Biased random walk models for chemotaxis and related diffusion approximations 1980 Wolgang Alt
1
+ Analysis of chemotactic bacterial distributions in population migration assays using a mathematical model applicable to steep or shallow attractant gradients 1991 Ralph Ford
Douglas A. Lauffenburger
1
+ Traveling wave solutions of a nonlinear reaction–diffusion–chemotaxis model for bacterial pattern formation 2007 M.B.A. Mansour
1
+ PDF Chat Structural properties of planar graphs of urban street patterns 2006 Alessio Cardillo
Salvatore Scellato
Vito Latora
Sergio Porta
1
+ Traveling bands of chemotactic bacteria: A theoretical analysis 1971 Evelyn Fox Keller
Lee A. Segel
1
+ A user’s guide to PDE models for chemotaxis 2008 Thomas Hillen
Kevin J. Painter
1
+ Transport models for chemotactic cell populations based on individual cell behavior 1989 Mercedes A. Rivero
Robert T. Tranquillo
Helen M. Buettner
Douglas A. Lauffenburger
1
+ Incorporation of receptor kinetics into a model for bacterial chemotaxis 1976 Lee A. Segel
1
+ PDF Chat Temporal Stimulation of Chemotaxis in <i>Escherichia coli</i> 1974 Douglas A. Brown
Howard C. Berg
1
+ Model for chemotaxis 1971 Evelyn Fox Keller
Lee A. Segel
1
+ On precise integration method 2003 Zhong Wan‐xie
1
+ PDF Chat Geometric Origin of Scaling in Large Traffic Networks 2012 Marko Popović
Hrvoje Ơtefančić
Vinko Zlatić
1
+ Measurement of bacterial random motility and chemotaxis coefficients: II. Application of single‐cell‐based mathematical model 1991 Roseanne M. Ford
Douglas A. Lauffenburger
1
+ PDF Chat Distance-weighted city growth 2013 Diego Rybski
Anselmo GarcĂ­a CantĂș Ros
JĂŒrgen P. Kropp
1
+ PDF Chat Modeling Urban Street Patterns 2008 Marc Barthélemy
Alessandro Flammini
1
+ PDF Chat The Range of Attractant Concentrations for Bacterial Chemotaxis and the Threshold and Size of Response over This Range 1973 Robert Mesibov
George Ordal
Julius Adler
1
+ PDF Chat A universal model for mobility and migration patterns 2012 Filippo Simini
Marta C. GonzĂĄlez
Amos Maritan
Albert‐László Barabási
1
+ Numerical Solution of Transport Equations for Bacterial Chemotaxis: Effect of Discretization of Directional Motion 1996 Benjamin J. Brosilow
Roseanne M. Ford
Sten Sarman
Peter T. Cummings
1
+ PDF Chat Urban characteristics attributable to density-driven tie formation 2013 Wei Pan
Gourab Ghoshal
Coco Krumme
Manuel CebriĂĄn
Alex Pentland
1
+ PDF Chat Constructing cities, deconstructing scaling laws 2014 Elsa Arcaute
Erez Hatna
Peter Ferguson
Hyejin Youn
Anders Johansson
Michael Batty
1
+ Quantification of random motility and chemotaxis bacterial transport coefficients using individual‐cell and population‐scale assays 2001 Paul Lewus
Roseanne M. Ford
1
+ PDF Chat Scaling laws between population and facility densities 2009 Jaegon Um
Seung‐Woo Son
Sung‐Ik Lee
Hawoong Jeong
Beom Jun Kim
1
+ PDF Chat Overview of Mathematical Approaches Used to Model Bacterial Chemotaxis II: Bacterial Populations 2008 Marcus J. Tindall
Philip K. Maini
Steven L. Porter
Judith P. Armitage
1
+ PDF Chat Elementary processes governing the evolution of road networks 2012 Emanuele Strano
Vincenzo Nicosia
Vito Latora
Sergio Porta
Marc Barthélemy
1
+ Urban Skylines: building heights and shapes as measures of city size 2015 Markus SchlÀpfer
Joey Lee
LuĂ­s M. A. Bettencourt
1
+ PDF Chat Superlinear and sublinear urban scaling in geographical networks modeling cities 2014 Kousuke Yakubo
Yasuaki Saijo
Dean KoroĆĄak
1
+ Generalized travelling wave solutions for hyperbolic chemotaxis PDEs 2016 P.M. Tchepmo Djomegni
K. S. Govinder
1
+ PDF Chat From global scaling to the dynamics of individual cities 2018 Jules Depersin
Marc Barthélemy
1
+ PDF Chat Field theory for recurrent mobility 2019 Mattia Mazzoli
Alex Molas
Aleix Bassolas
Maxime Lenormand
Pere Colet
José J. Ramasco
1
+ PDF Chat On the relation between transversal and longitudinal scaling in cities 2020 Fabiano L. Ribeiro
JoĂŁo Meirelles
VinĂ­cius M. Netto
Camilo Rodrigues Neto
Andrea Baronchelli
1
+ PDF Chat Scaling and allometry in the building geometries of Greater London 2008 Michael Batty
Rui Carvalho
Andrew Hudson‐Smith
Richard Milton
Duncan Smith
Philip Steadman
1
+ PDF Chat How congestion shapes cities: from mobility patterns to scaling 2014 RĂ©mi Louf
Marc Barthélemy
1
+ PDF Chat Weyl-like points from band inversions of spin-polarised surface states in NbGeSb 2019 Igor Marković
C. Hooley
Oliver J. Clark
Federico Mazzola
Matthew D. Watson
J. M. Riley
Klara Volckaert
Kaycee Underwood
Matthew S. Dyer
Philip A. E. Murgatroyd
1
+ PDF Chat Scaling and universality in urban economic diversification 2016 Hyejin Youn
LuĂ­s M. A. Bettencourt
José Lobo
Deborah Strumsky
Horacio Samaniego
Geoffrey B. West
1
+ XGBoost 2016 Tianqi Chen
Carlos Guestrin
1
+ Assessing the Quality of Home Detection from Mobile Phone Data for Official Statistics 2018 Maarten Vanhoof
Fernando Reis
Thomas Ploetz
Zbigniew Smoreda
1
+ Scaling: Lost in the Smog 2014 RĂ©mi Louf
Marc Barthélemy
1
+ PDF Chat Explaining the prevalence, scaling and variance of urban phenomena 2016 Andrés Gómez-Liévano
Oscar Patterson‐Lomba
Ricardo Hausmann
1
+ PDF Chat Effects of changing population or density on urban carbon dioxide emissions 2019 Haroldo V. Ribeiro
Diego Rybski
JĂŒrgen P. Kropp
1
+ PDF Chat The systematic structure and predictability of urban business diversity 2016 Hyejin Youn
LuĂ­s M. A. Bettencourt
José Lobo
Deborah Strumsky
Horacio Samaniego
Geoffrey B. West
1
+ Analysis of chemotactic bacterial distributions in population migration assays using a mathematical model applicable to steep or shallow attractant gradients 1991 Roseanne M. Ford
Douglas A. Lauffenburger
1