A Measure-Theoretic Model for Collective Cell Migration and Aggregation
Math. Model. Nat. Phenom., 10 1 (2015) 4-35
Published online: 2014-12-12
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):
Systematic simulation of tumor cell invasion and migration in response to time-varying rotating magnetic field
Shilong Zhang, Tongyao Yu, Ge Zhang, Ming Chen, Dachuan Yin and Chenyan ZhangBiomechanics and Modeling in Mechanobiology 23 (5) 1617 (2024)
https://doi.org/10.1007/s10237-024-01858-y
A Genuinely Hybrid, Multiscale 3D Cancer Invasion and Metastasis Modelling Framework
Dimitrios Katsaounis, Nicholas Harbour, Thomas Williams, Mark AJ Chaplain and Nikolaos SfakianakisBulletin of Mathematical Biology 86 (6) (2024)
https://doi.org/10.1007/s11538-024-01286-0
A hybrid modeling environment to describe aggregates of cells heterogeneous for genotype and behavior with possible phenotypic transitions
Giulia Chiari, Marcello Edoardo Delitala, David Morselli and Marco SciannaInternational Journal of Non-Linear Mechanics 144 104063 (2022)
https://doi.org/10.1016/j.ijnonlinmec.2022.104063
A Multiphysics Model for Bone Repair Using Magnetic Scaffolds for Targeted Drug Delivery
Matteo Bruno Lodi, Alessandro Fanti, Andrea Vargiu, Maurizio Bozzi and Giuseppe MazzarellaIEEE Journal on Multiscale and Multiphysics Computational Techniques 6 201 (2021)
https://doi.org/10.1109/JMMCT.2021.3134786
Well-posedness of a system of transport and diffusion equations in space of measures
Azmy S. Ackleh and Nicolas SaintierJournal of Mathematical Analysis and Applications 492 (1) 124397 (2020)
https://doi.org/10.1016/j.jmaa.2020.124397
Modelling collective cell migration: neural crest as a model paradigm
Rasa Giniūnaitė, Ruth E. Baker, Paul M. Kulesa and Philip K. MainiJournal of Mathematical Biology 80 (1-2) 481 (2020)
https://doi.org/10.1007/s00285-019-01436-2
A Hybrid Multiscale Model for Cancer Invasion of the Extracellular Matrix
Nikolaos Sfakianakis, Anotida Madzvamuse and Mark A. J. ChaplainMultiscale Modeling & Simulation 18 (2) 824 (2020)
https://doi.org/10.1137/18M1189026
Quantitative measurement of social repulsive force in pedestrian movements based on physiological responses
Yongxiang Zhao, Tuantuan Lu, Wenliang Su, Peng Wu, Libi Fu and Meifang LiTransportation Research Part B: Methodological 130 1 (2019)
https://doi.org/10.1016/j.trb.2019.10.008
Extension of tumor fingers: A comparison between an individual-cell based model and a measure theoretic approach
Marco Scianna and Annachiara ColombiCommunications in Applied and Industrial Mathematics 10 (2) 54 (2019)
https://doi.org/10.2478/caim-2019-0007
Adhesion and volume constraints via nonlocal interactions determine cell organisation and migration profiles
José Antonio Carrillo, Annachiara Colombi and Marco SciannaJournal of Theoretical Biology 445 75 (2018)
https://doi.org/10.1016/j.jtbi.2018.02.022
Non-local Parabolic and Hyperbolic Models for Cell Polarisation in Heterogeneous Cancer Cell Populations
Vasiliki Bitsouni and Raluca EftimieBulletin of Mathematical Biology 80 (10) 2600 (2018)
https://doi.org/10.1007/s11538-018-0477-4
A coherent modeling procedure to describe cell activation in biological systems
Marco Scianna and Annachiara ColombiCommunications in Applied and Industrial Mathematics 8 (1) 1 (2017)
https://doi.org/10.1515/caim-2017-0001
Deformable Cell Model of Tissue Growth
Nikolai Bessonov and Vitaly VolpertComputation 5 (4) 45 (2017)
https://doi.org/10.3390/computation5040045
Modelling human perception processes in pedestrian dynamics: a hybrid approach
A. Colombi and M. SciannaRoyal Society Open Science 4 (3) 160561 (2017)
https://doi.org/10.1098/rsos.160561
Hybrid Modelling in Biology: a Classification Review
A. Stéphanou, V. Volpert and V. VolpertMathematical Modelling of Natural Phenomena 11 (1) 37 (2016)
https://doi.org/10.1051/mmnp/201611103
Hybrid Modelling in Cell Biology
A. Stéphanou, V. Volpert, A. Stephanou and V. VolpertMathematical Modelling of Natural Phenomena 10 (1) 1 (2015)
https://doi.org/10.1051/mmnp/201510100