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1

A mathematical framework for delay analysis in single source networks

Networks and Heterogeneous Media  Volume 12, Issue 1, Pages : 113 - 145, 2017

Samitha Samaranayake - (email), Axel Parmentier - (email), Ethan Xuan - (email), Alexandre Bayen - (email)

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2

Global dynamics of a model of joint hormone treatment with dendritic cell vaccine for prostate cancer

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 3, Pages : 1001 - 1021, 2017

Erica M. Rutter - (email), Yang Kuang - (email)

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3

Homogenization of second order discrete model with local perturbation and application to traffic flow

Discrete and Continuous Dynamical Systems  Volume 37, Issue 3, Pages : 1437 - 1487, 2016

Nicolas Forcadel - (email), Wilfredo Salazar - (email), Mamdouh Zaydan - (email)

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4

Kinetic models for traffic flow resulting in a reduced space of microscopic velocities

Kinetic and Related Models  Volume 10, Issue 3, Pages : 823 - 854, 2016

Gabriella Puppo - (email), Matteo Semplice - (email), Andrea Tosin - (email), Giuseppe Visconti - (email)

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5

Modeling and control of local outbreaks of West Nile virus in the United States

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 8, Pages : 2423 - 2449, 2016

Jing Chen - (email), Jicai Huang - (email), John C. Beier - (email), Robert Stephen Cantrell - (email), Chris Cosner - (email), Douglas O. Fuller - (email), Guoyan Zhang - (email), Shigui Ruan - (email)

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6

Development of a computational model of glucose toxicity in the progression of diabetes mellitus

Mathematical Biosciences and Engineering  Volume 13, Issue 5, Pages : 1043 - 1058, 2016

Danilo T. Pérez-Rivera - (email), Verónica L. Torres-Torres - (email), Abraham E. Torres-Colón - (email), Mayteé Cruz-Aponte - (email)

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7

Modeling HIV: Determining the factors affecting the racial disparity in the prevalence of infected women

DCDS Supplements  Volume 2015, Issue special, Pages : 569 - 578, 2015

K.F. Gurski - (email), K.A. Hoffman - (email), E.K. Thomas - (email)

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8

Linear model of traffic flow in an isolated network

DCDS Supplements  Volume 2015, Issue special, Pages : 670 - 677, 2015

Ángela Jiménez-Casas - (email), Aníbal Rodríguez-Bernal - (email)

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9

Pseudo-polynomial time algorithms for combinatorial food mixture packing problems

Journal of Industrial and Management Optimization  Volume 12, Issue 3, Pages : 1057 - 1073, 2015

Shinji Imahori - (email), Yoshiyuki Karuno - (email), Kenju Tateishi - (email)

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10

Quantitative analysis of time delays of glucose - insulin dynamics using artificial pancreas

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 9, Pages : 3115 - 3129, 2015

Saloni Rathee - (email), Nilam - (email)

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11

A model of riots dynamics: Shocks, diffusion and thresholds

Networks and Heterogeneous Media  Volume 10, Issue 3, Pages : 443 - 475, 2015

Henri Berestycki - (email), Jean-Pierre Nadal - (email), Nancy Rodíguez - (email)

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12

Continuous Riemann solvers for traffic flow at a junction

Discrete and Continuous Dynamical Systems  Volume 35, Issue 9, Pages : 4149 - 4171, 2015

Alberto Bressan - (email), Fang Yu - (email)

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13

Structural analysis and traffic flow in the transport networks of Madrid

Networks and Heterogeneous Media  Volume 10, Issue 1, Pages : 127 - 148, 2015

Mary Luz Mouronte - (email), Rosa María Benito - (email)

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14

A hybrid model for traffic flow and crowd dynamics with random individual properties

Mathematical Biosciences and Engineering  Volume 12, Issue 2, Pages : 393 - 413, 2014

Veronika Schleper - (email)

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15

An easy-to-use algorithm for simulating traffic flow on networks: Theoretical study

Networks and Heterogeneous Media  Volume 9, Issue 3, Pages : 519 - 552, 2014

Maya Briani - (email), Emiliano Cristiani - (email)

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16

Paralic confinement computations in coastal environment with interlocked areas

Discrete and Continuous Dynamical Systems - Series S  Volume 8, Issue 1, Pages : 45 - 54, 2014

Jean-Philippe Bernard - (email), Emmanuel Frénod - (email), Antoine Rousseau - (email)

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17

Mathematical modeling of Glassy-winged sharpshooter population

Mathematical Biosciences and Engineering  Volume 11, Issue 3, Pages : 667 - 677, 2014

Jeong-Mi Yoon - (email), Volodymyr Hrynkiv - (email), Lisa Morano - (email), Anh Tuan Nguyen - (email), Sara Wilder - (email), Forrest Mitchell - (email)

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18

An easy-to-use algorithm for simulating traffic flow on networks: Numerical experiments

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 3, Pages : 379 - 394, 2014

Gabriella Bretti - (email), Maya Briani - (email), Emiliano Cristiani - (email)

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19

Fundamental diagrams for kinetic equations of traffic flow

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 3, Pages : 449 - 462, 2014

Luisa Fermo - (email), Andrea Tosin - (email)

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20

Computing travel times from filtered traffic states

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 3, Pages : 557 - 578, 2014

Pierre-Emmanuel Mazaré - (email), Olli-Pekka Tossavainen - (email), Daniel B. Work - (email)

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21

Modeling confinement in Étang de Thau: Numerical simulations and multi-scale aspects

DCDS Supplements  Volume 2013, Issue special, Pages : 69 - 76, 2013

Jean-Philippe Bernard - (email), Emmanuel Frénod - (email), Antoine Rousseau - (email)

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22

Numerical discretization of Hamilton--Jacobi equations on networks

Networks and Heterogeneous Media  Volume 8, Issue 3, Pages : 685 - 705, 2013

Simone Göttlich - (email), Ute Ziegler - (email), Michael Herty - (email)

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23

Qualitative analysis of some PDE models of traffic flow

Networks and Heterogeneous Media  Volume 8, Issue 3, Pages : 773 - 781, 2013

Tong Li - (email)

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24

Markov Chain Monte Carlo based inverse modeling of traffic flows using GPS data

Networks and Heterogeneous Media  Volume 8, Issue 3, Pages : 803 - 824, 2013

Olli-Pekka Tossavainen - (email), Daniel B. Work - (email)

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25

The mathematical and theoretical biology institute - a model of mentorship through research

Mathematical Biosciences and Engineering  Volume 10, Issue 5/6, Pages : 1351 - 1363, 2013

Erika T. Camacho - (email), Christopher M. Kribs-Zaleta - (email), Stephen Wirkus - (email)

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26

Mathematical modeling of regulatory T cell effects on renal cell carcinoma treatment

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 4, Pages : 915 - 943, 2013

Lisette dePillis - (email), Trevor Caldwell - (email), Elizabeth Sarapata - (email), Heather Williams - (email)

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27

A multiple time-scale computational model of a tumor and its micro environment

Mathematical Biosciences and Engineering  Volume 10, Issue 1, Pages : 121 - 150, 2012

Christopher DuBois - (email), Jesse Farnham - (email), Eric Aaron - (email), Ami Radunskaya - (email)

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28

Coupling of non-local driving behaviour with fundamental diagrams

Kinetic and Related Models  Volume 5, Issue 4, Pages : 843 - 855, 2012

Michael Herty - (email), Reinhard Illner - (email)

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29

Modeling the effects of introducing a new antibiotic in a hospital setting: A case study

Mathematical Biosciences and Engineering  Volume 9, Issue 3, Pages : 601 - 625, 2012

Michele L. Joyner - (email), Cammey C. Manning - (email), Brandi N. Canter - (email)

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30

Shock formation in a traffic flow model with Arrhenius look-ahead dynamics

Networks and Heterogeneous Media  Volume 6, Issue 4, Pages : 681 - 694, 2011

Dong Li - (email), Tong Li - (email)

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31

Robustness of signaling gradient in drosophila wing imaginal disc

Discrete and Continuous Dynamical Systems - Series B  Volume 16, Issue 3, Pages : 835 - 866, 2011

Jinzhi Lei - (email), Frederic Y. M. Wan - (email), Arthur D. Lander - (email), Qing Nie - (email)

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32

Complex spatiotemporal behavior in a chain of one-way nonlinearly coupled elements

Discrete and Continuous Dynamical Systems - Series S  Volume 4, Issue 5, Pages : 1167 - 1179, 2010

Yuri B. Gaididei - (email), Rainer Berkemer - (email), Carlos Gorria - (email), Peter L. Christiansen - (email), Atsushi Kawamoto - (email), Takahiro Shiga - (email), Mads P. Sørensen - (email), Jens Starke - (email)

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33

A novel model for intersections of vehicular traffic flow

Networks and Heterogeneous Media  Volume 4, Issue 4, Pages : 813 - 826, 2009

Michael Herty - (email), J.-P. Lebacque - (email), S. Moutari - (email)

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34

Modeling dynamic changes in type 1 diabetes progression: Quantifying $\beta$-cell variation after the appearance of islet-specific autoimmune responses

Mathematical Biosciences and Engineering  Volume 6, Issue 4, Pages : 753 - 778, 2009

Patrick Nelson - (email), Noah Smith - (email), Stanca Ciupe - (email), Weiping Zou - (email), Gilbert S. Omenn - (email), Massimo Pietropaolo - (email)

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35

Non-oscillatory central schemes for traffic flow models with Arrhenius look-ahead dynamics

Networks and Heterogeneous Media  Volume 4, Issue 3, Pages : 431 - 451, 2009

Alexander Kurganov - (email), Anthony Polizzi - (email)

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36

Predicting the drug release kinetics of matrix tablets

Discrete and Continuous Dynamical Systems - Series B  Volume 12, Issue 2, Pages : 261 - 277, 2009

Boris Baeumer - (email), Lipika Chatterjee - (email), Peter Hinow - (email), Thomas Rades - (email), Ami Radunskaya - (email), Ian Tucker - (email)

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37

A spatial model of tumor-host interaction: Application of chemotherapy

Mathematical Biosciences and Engineering  Volume 6, Issue 3, Pages : 521 - 546, 2009

Peter Hinow - (email), Philip Gerlee - (email), Lisa J. McCawley - (email), Vito Quaranta - (email), Madalina Ciobanu - (email), Shizhen Wang - (email), Jason M. Graham - (email), Bruce P. Ayati - (email), Jonathan Claridge - (email), Kristin R. Swanson - (email), Mary Loveless - (email), Alexander R. A. Anderson - (email)

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38

Critical thresholds in a relaxation system with resonance of characteristic speeds

Discrete and Continuous Dynamical Systems  Volume 24, Issue 2, Pages : 511 - 521, 2009

Tong Li - (email), Hailiang Liu - (email)

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39

On Stop-and-Go waves in dense traffic

Kinetic and Related Models  Volume 1, Issue 3, Pages : 437 - 452, 2008

Michael Herty - (email), Reinhard Illner - (email)

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40

Morphogenesis of the tumor patterns

Mathematical Biosciences and Engineering  Volume 5, Issue 2, Pages : 299 - 313, 2008

Elena Izquierdo-Kulich - (email), José Manuel Nieto-Villar - (email)

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41

Multiphase modeling and qualitative analysis of the growth of tumor cords

Networks and Heterogeneous Media  Volume 3, Issue 1, Pages : 43 - 83, 2008

Andrea Tosin - (email)

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42

The effect of the remains of the carcass in a two-prey, one-predator model

Discrete and Continuous Dynamical Systems - Series B  Volume 9, Issue 2, Pages : 353 - 374, 2007

Sungrim Seirin Lee - (email), Tsuyoshi Kajiwara - (email)

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43

The changes of air gap in inductive engines as vibration indicator aided by mathematical model and artificial neural network

DCDS Supplements  Volume 2007, Issue Special, Pages : 1005 - 1012, 2007

Boguslaw Twarog - (email), Robert Pekala - (email), Jacek Bartman - (email), Zbigniew Gomolka - (email)

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44

A second order model of road junctions in fluid models of traffic networks

Networks and Heterogeneous Media  Volume 2, Issue 2, Pages : 227 - 253, 2007

Bertrand Haut - (email), Georges Bastin - (email)

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45

Simple climate modeling

Discrete and Continuous Dynamical Systems - Series B  Volume 7, Issue 3, Pages : 651 - 660, 2007

Ka Kit Tung - (email)

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46

Conservation laws with discontinuous flux

Networks and Heterogeneous Media  Volume 2, Issue 1, Pages : 159 - 179, 2006

Mauro Garavello - (email), Roberto Natalini - (email), Benedetto Piccoli - (email), Andrea Terracina - (email)

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47

Optimal feedback production for a single-echelon supply chain

Discrete and Continuous Dynamical Systems - Series B  Volume 6, Issue 6, Pages : 1431 - 1444, 2006

K.H. Wong - (email), Chi Kin Chan - (email), H. W.J. Lee - (email)

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48

Optimization criteria for modelling intersections of vehicular traffic flow

Networks and Heterogeneous Media  Volume 1, Issue 2, Pages : 275 - 294, 2006

Michael Herty - (email), S. Moutari - (email), M. Rascle - (email)

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49

Fast algorithms for the approximation of a traffic flow model on networks

Discrete and Continuous Dynamical Systems - Series B  Volume 6, Issue 3, Pages : 427 - 448, 2006

Gabriella Bretti - (email), Roberto Natalini - (email), Benedetto Piccoli - (email)

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50

Analysis of Blood Flow Velocity and Pressure Signals using the Multipulse Method

Mathematical Biosciences and Engineering  Volume 3, Issue 2, Pages : 419 - 440, 2006

Derek H. Justice - (email), H. Joel Trussell - (email), Mette S. Olufsen - (email)

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51

Using Mathematical Modeling as a Resource in Clinical Trials

Mathematical Biosciences and Engineering  Volume 2, Issue 3, Pages : 421 - 436, 2005

Evans K. Afenya - (email)

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52

Traffic circles and timing of traffic lights for cars flow

Discrete and Continuous Dynamical Systems - Series B  Volume 5, Issue 3, Pages : 599 - 630, 2005

Yacine Chitour - (email), Benedetto Piccoli - (email)

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53

Spatially Distributed Morphogen Production and Morphogen Gradient Formation

Mathematical Biosciences and Engineering  Volume 2, Issue 2, Pages : 239 - 262, 2005

Arthur D. Lander - (email), Qing Nie - (email), Frederic Y. M. Wan - (email)

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54

A mathematical model for treatment-resistant mutations of HIV

Mathematical Biosciences and Engineering  Volume 2, Issue 2, Pages : 363 - 380, 2005

Helen Moore - (email), Weiqing Gu - (email)

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55

The Effects of Affinity Mediated Clonal Expansion of Premigrant Thymocytes on the Periphery T-Cell Repertoire

Mathematical Biosciences and Engineering  Volume 2, Issue 1, Pages : 153 - 168, 2004

Guanyu Wang - (email)

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56

A General Mathematical Method for Investigating the Thymic Microenvironment, Thymocyte Development, and Immunopathogenesis

Mathematical Biosciences and Engineering  Volume 1, Issue 2, Pages : 289 - 305, 2004

Guanyu Wang - (email), Gerhard R. F. Krueger - (email)

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