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):

Study on the tumor-induced angiogenesis using mathematical models

Takashi Suzuki, Dhisa Minerva, Koichi Nishiyama, Naohiko Koshikawa and Mark Andrew Joseph Chaplain
Cancer Science 109 (1) 15 (2018)
DOI: 10.1111/cas.13395
See this article

A Network Model to Explore the Effect of the Micro-environment on Endothelial Cell Behavior during Angiogenesis

Nathan Weinstein, Luis Mendoza, Isidoro Gitler and Jaime Klapp
Frontiers in Physiology 8 (2017)
DOI: 10.3389/fphys.2017.00960
See this article

Multiscale modeling of tumor growth and angiogenesis: Evaluation of tumor-targeted therapy

Sahar Jafari Nivlouei, M. Soltani, João Carvalho, Rui Travasso, Mohammad Reza Salimpour, Ebrahim Shirani and Philip K Maini
PLOS Computational Biology 17 (6) e1009081 (2021)
DOI: 10.1371/journal.pcbi.1009081
See this article

Stem Cell Sources and Graft Material for Vascular Tissue Engineering

Dorothee Hielscher, Constanze Kaebisch, Benedikt Julius Valentin Braun, Kevin Gray and Edda Tobiasch
Stem Cell Reviews and Reports 14 (5) 642 (2018)
DOI: 10.1007/s12015-018-9825-x
See this article

Angiogenic Factors produced by Hypoxic Cells are a leading driver of Anastomoses in Sprouting Angiogenesis–a computational study

Maurício Moreira-Soares, Rita Coimbra, Luís Rebelo, João Carvalho and Rui D. M. Travasso
Scientific Reports 8 (1) (2018)
DOI: 10.1038/s41598-018-27034-8
See this article

Two dimensional soliton in tumor induced angiogenesis

L L Bonilla, M Carretero and F Terragni
Journal of Statistical Mechanics: Theory and Experiment 2020 (8) 083402 (2020)
DOI: 10.1088/1742-5468/aba598
See this article

Capillary network formation from dispersed endothelial cells: Influence of cell traction, cell adhesion, and extracellular matrix rigidity

João R. D. Ramos, Rui Travasso and João Carvalho
Physical Review E 97 (1) (2018)
DOI: 10.1103/PhysRevE.97.012408
See this article

Stochastic Dynamics Out of Equilibrium

Luis L. Bonilla, Manuel Carretero and Filippo Terragni
Springer Proceedings in Mathematics & Statistics, Stochastic Dynamics Out of Equilibrium 282 413 (2019)
DOI: 10.1007/978-3-030-15096-9_13
See this article

The Force at the Tip - Modelling Tension and Proliferation in Sprouting Angiogenesis

Patrícia Santos-Oliveira, António Correia, Tiago Rodrigues, et al.
PLOS Computational Biology 11 (8) e1004436 (2015)
DOI: 10.1371/journal.pcbi.1004436
See this article

Translational models of tumor angiogenesis: A nexus of in silico and in vitro models

Shirin Soleimani, Milad Shamsi, Mehran Akbarpour Ghazani, et al.
Biotechnology Advances 36 (4) 880 (2018)
DOI: 10.1016/j.biotechadv.2018.01.013
See this article

Coupled Mathematical Models for Physical and Biological Nanoscale Systems and Their Applications

Luis L. Bonilla, M. Carretero and F. Terragni
Springer Proceedings in Mathematics & Statistics, Coupled Mathematical Models for Physical and Biological Nanoscale Systems and Their Applications 232 97 (2018)
DOI: 10.1007/978-3-319-76599-0_6
See this article

Mathematical models for chemotaxis and their applications in self-organisation phenomena

Kevin J. Painter
Journal of Theoretical Biology 481 162 (2019)
DOI: 10.1016/j.jtbi.2018.06.019
See this article

Modelling of retinal vasculature based on genetically tuned parametric L-system

Seyed Mohammad Ali Aghamirmohammadali, Ramin Bozorgmehry Boozarjomehry and Mohammad Abdekhodaie
Royal Society Open Science 5 (5) 171639 (2018)
DOI: 10.1098/rsos.171639
See this article

Hybrid Modelling in Cell Biology

A. Stéphanou, V. Volpert, A. Stephanou and V. Volpert
Mathematical Modelling of Natural Phenomena 10 (1) 1 (2015)
DOI: 10.1051/mmnp/201510100
See this article

Stochastic model of tumor-induced angiogenesis: Ensemble averages and deterministic equations

F. Terragni, M. Carretero, V. Capasso and L. L. Bonilla
Physical Review E 93 (2) (2016)
DOI: 10.1103/PhysRevE.93.022413
See this article

Solitonlike attractor for blood vessel tip density in angiogenesis

L. L. Bonilla, M. Carretero and F. Terragni
Physical Review E 94 (6) (2016)
DOI: 10.1103/PhysRevE.94.062415
See this article

An angiogenesis platform using a cubic artificial eggshell with patterned blood vessels on chicken chorioallantoic membrane

Wenjing Huang, Makoto Itayama, Fumihito Arai, et al.
PLOS ONE 12 (4) e0175595 (2017)
DOI: 10.1371/journal.pone.0175595
See this article

Ensemble Averages, Soliton Dynamics and Influence of Haptotaxis in a Model of Tumor-Induced Angiogenesis

Luis Bonilla, Manuel Carretero and Filippo Terragni
Entropy 19 (5) 209 (2017)
DOI: 10.3390/e19050209
See this article

Hybrid Modelling in Biology: a Classification Review

A. Stéphanou, V. Volpert and V. Volpert
Mathematical Modelling of Natural Phenomena 11 (1) 37 (2016)
DOI: 10.1051/mmnp/201611103
See this article

Soliton driven angiogenesis

L. L. Bonilla, M. Carretero, F. Terragni and B. Birnir
Scientific Reports 6 (1) 31296 (2016)
DOI: 10.1038/srep31296
See this article

Computational Modeling to Quantify the Contributions of VEGFR1, VEGFR2, and Lateral Inhibition in Sprouting Angiogenesis

Clemens Kühn and Sara Checa
Frontiers in Physiology 10 (2019)
DOI: 10.3389/fphys.2019.00288
See this article

Integrodifference master equation describing actively growing blood vessels in angiogenesis

Luis L. Bonilla, Manuel Carretero and Filippo Terragni
International Journal of Nonlinear Sciences and Numerical Simulation 21 (7-8) 705 (2020)
DOI: 10.1515/ijnsns-2019-0094
See this article

Notch signaling and taxis mechanisms regulate early stage angiogenesis: A mathematical and computational model

Rocío Vega, Manuel Carretero, Rui D. M. Travasso, Luis L. Bonilla and Philip K Maini
PLOS Computational Biology 16 (1) e1006919 (2020)
DOI: 10.1371/journal.pcbi.1006919
See this article

Evaluating snail-trail frameworks for leader-follower behavior with agent-based modeling

W. Duncan Martinson, Helen M. Byrne and Philip K. Maini
Physical Review E 102 (6) (2020)
DOI: 10.1103/PhysRevE.102.062417
See this article

Functional angiogenesis requires microenvironmental cues balancing endothelial cell migration and proliferation

William Y. Wang, Daphne Lin, Evan H. Jarman, William J. Polacheck and Brendon M. Baker
Lab on a Chip (2020)
DOI: 10.1039/C9LC01170F
See this article

Angiogenic Networks in Tumors—Insights via Mathematical Modeling

Mohsen Dorraki, Anahita Fouladzadeh, Andrew Allison, Claudine S. Bonder and Derek Abbott
IEEE Access 8 43215 (2020)
DOI: 10.1109/ACCESS.2020.2977062
See this article

A Computational Model of the Endothelial to Mesenchymal Transition

Nathan Weinstein, Luis Mendoza and Elena R. Álvarez-Buylla
Frontiers in Genetics 11 (2020)
DOI: 10.3389/fgene.2020.00040
See this article

A convergent numerical scheme for integrodifferential kinetic models of angiogenesis

Luis L. Bonilla, Ana Carpio, Manuel Carretero, et al.
Journal of Computational Physics 375 1270 (2018)
DOI: 10.1016/j.jcp.2018.09.008
See this article

Computational modelling suggests complex interactions between interstitial flow and tumour angiogenesis

Guillermo Vilanova, Miguel Burés, Ignasi Colominas and Hector Gomez
Journal of The Royal Society Interface 15 (146) 20180415 (2018)
DOI: 10.1098/rsif.2018.0415
See this article

Comparative analysis of continuum angiogenesis models

W. Duncan Martinson, Hirokazu Ninomiya, Helen M. Byrne and Philip K. Maini
Journal of Mathematical Biology 82 (4) (2021)
DOI: 10.1007/s00285-021-01570-w
See this article

Constructing solutions for a kinetic model of angiogenesis in annular domains

Ana Carpio, Gema Duro and Mihaela Negreanu
Applied Mathematical Modelling 45 303 (2017)
DOI: 10.1016/j.apm.2016.12.028
See this article

Rocío Vega, Manuel Carretero, Rui D.M. Travasso and Luis L. Bonilla
(2019)
DOI: 10.1101/569897
See this article

William Y. Wang, Daphne Lin, Evan H. Jarman, William J. Polacheck and Brendon M. Baker
(2019)
DOI: 10.1101/868497
See this article

J. Barrasa-Fano, A. Shapeti, J. de Jong, A. Ranga, J.A. Sanz-Herrera and H. Van Oosterwyck
(2020)
DOI: 10.1101/2020.12.08.411603
See this article

Biologically-Based Mathematical Modeling of Tumor Vasculature and Angiogenesis via Time-Resolved Imaging Data

David A. Hormuth, Caleb M. Phillips, Chengyue Wu, et al.
Cancers 13 (12) 3008 (2021)
DOI: 10.3390/cancers13123008
See this article

Systems biology of angiogenesis signaling: Computational models and omics

Yu Zhang, Hanwen Wang, Rebeca Hannah M. Oliveira, Chen Zhao and Aleksander S. Popel
WIREs Mechanisms of Disease (2021)
DOI: 10.1002/wsbm.1550
See this article

Positivity preserving high order schemes for angiogenesis models

A. Carpio and E. Cebrian
International Journal of Nonlinear Sciences and Numerical Simulation (2021)
DOI: 10.1515/ijnsns-2021-0112
See this article

A multiscale cell‐based model of tumor growth for chemotherapy assessment and tumor‐targeted therapy through a 3D computational approach

Sahar Jafari Nivlouei, Madjid Soltani, Ebrahim Shirani, Mohammad Reza Salimpour, Rui Travasso and João Carvalho
Cell Proliferation 55 (3) (2022)
DOI: 10.1111/cpr.13187
See this article

In Vitro, In Vivo, and In Silico Models of Lymphangiogenesis in Solid Malignancies

Sophie Bekisz, Louis Baudin, Florence Buntinx, Agnès Noël and Liesbet Geris
Cancers 14 (6) 1525 (2022)
DOI: 10.3390/cancers14061525
See this article

A Method to Coarse-Grain MultiAgent Stochastic Systems with Regions of Multistability

Daria Stepanova, Helen M. Byrne, Philip K. Maini and Tomás Alarcón
Multiscale Modeling & Simulation 20 (1) 404 (2022)
DOI: 10.1137/21M1418575
See this article

A vasculogenesis model based on flow-induced stresses on endothelial cells

Pooya Abdi and Bahman Vahidi
AIP Advances 12 (5) 055306 (2022)
DOI: 10.1063/5.0087884
See this article