Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

This article has been cited by the following article(s):

Nonlinear flux-limited models for chemotaxis on networks

T. N. Ha Pham, Axel Klar and Raul Borsche
Networks and Heterogeneous Media 12 (3) 381 (2017)
DOI: 10.3934/nhm.2017017
See this article

Raul Borsche and Axel Klar
25 37 (2021)
DOI: 10.1007/978-3-030-67104-4_2
See this article

Local and global solutions for a hyperbolic–elliptic model of chemotaxis on a network

Francesca Romana Guarguaglini, Marco Papi and Flavia Smarrazzo
Mathematical Models and Methods in Applied Sciences 29 (08) 1465 (2019)
DOI: 10.1142/S021820251950026X
See this article

Kinetic layers and coupling conditions for nonlinear scalar equations on networks

R Borsche and A Klar
Nonlinearity 31 (7) 3512 (2018)
DOI: 10.1088/1361-6544/aabc91
See this article

Kinetic and related macroscopic models for chemotaxis on networks

R. Borsche, J. Kall, A. Klar and T. N. H. Pham
Mathematical Models and Methods in Applied Sciences 26 (06) 1219 (2016)
DOI: 10.1142/S0218202516500299
See this article

Kinetic Layers and Coupling Conditions for Macroscopic Equations on Networks I: The Wave Equation

R. Borsche and A. Klar
SIAM Journal on Scientific Computing 40 (3) A1784 (2018)
DOI: 10.1137/17M1138364
See this article

A fully-discrete-state kinetic theory approach to traffic flow on road networks

Luisa Fermo and Andrea Tosin
Mathematical Models and Methods in Applied Sciences 25 (03) 423 (2015)
DOI: 10.1142/S0218202515400023
See this article

Global Smooth Solutions for a Hyperbolic Chemotaxis Model on a Network

F. R. Guarguaglini and R. Natalini
SIAM Journal on Mathematical Analysis 47 (6) 4652 (2015)
DOI: 10.1137/140997099
See this article

Numerical High-Field Limits in Two-Stream Kinetic Models and 1D Aggregation Equations

Laurent Gosse and Nicolas Vauchelet
SIAM Journal on Scientific Computing 38 (1) A412 (2016)
DOI: 10.1137/151004653
See this article

High order numerical methods for networks of hyperbolic conservation laws coupled with ODEs and lumped parameter models

Raul Borsche and Jochen Kall
Journal of Computational Physics 327 678 (2016)
DOI: 10.1016/j.jcp.2016.10.003
See this article

Active Particles, Volume 2

Raul Borsche, Axel Klar and Florian Schneider
Modeling and Simulation in Science, Engineering and Technology, Active Particles, Volume 2 1 (2019)
DOI: 10.1007/978-3-030-20297-2_1
See this article

Numerical approximation of nonhomogeneous boundary conditions on networks for a hyperbolic system of chemotaxis modeling the Physarum dynamics

Gabriella Bretti and Roberto Natalini
Journal of Computational Methods in Sciences and Engineering 18 (1) 85 (2018)
DOI: 10.3233/JCM-170773
See this article

Chemotaxis on networks: Analysis and numerical approximation

Herbert Egger and Lukas Schöbel-Kröhn
ESAIM: Mathematical Modelling and Numerical Analysis 54 (4) 1339 (2020)
DOI: 10.1051/m2an/2019069
See this article

Hyperbolic models for the spread of epidemics on networks: kinetic description and numerical methods

Giulia Bertaglia and Lorenzo Pareschi
ESAIM: Mathematical Modelling and Numerical Analysis 55 (2) 381 (2021)
DOI: 10.1051/m2an/2020082
See this article

Mass-Preserving Approximation of a Chemotaxis Multi-Domain Transmission Model for Microfluidic Chips

Elishan Christian Braun, Gabriella Bretti and Roberto Natalini
Mathematics 9 (6) 688 (2021)
DOI: 10.3390/math9060688
See this article

Hyperbolic compartmental models for epidemic spread on networks with uncertain data: Application to the emergence of COVID-19 in Italy

Giulia Bertaglia and Lorenzo Pareschi
Mathematical Models and Methods in Applied Sciences 31 (12) 2495 (2021)
DOI: 10.1142/S0218202521500548
See this article

A coupled 3D-1D multiscale Keller-Segel model of chemotaxis and its application to cancer invasion

Federica Bubba, Benoit Perthame, Daniele Cerroni, Pasquale Ciarletta and Paolo Zunino
Discrete and Continuous Dynamical Systems - S 15 (8) 2053 (2022)
DOI: 10.3934/dcdss.2022044
See this article

Global existence and asymptotic behavior of solutions for a hyperbolic‐parabolic model of chemotaxis on network

Yafeng Li, Chunlai Mu and Qiao Xin
Mathematical Methods in the Applied Sciences 45 (11) 6739 (2022)
DOI: 10.1002/mma.8204
See this article

Giacomo Albi, Giulia Bertaglia, Walter Boscheri, Giacomo Dimarco, Lorenzo Pareschi, Giuseppe Toscani and Mattia Zanella
43 (2022)
DOI: 10.1007/978-3-030-96562-4_3
See this article