A Hybrid Model Describing Different Morphologies of Tumor Invasion Fronts
Math. Model. Nat. Phenom., 7 1 (2012) 78-104
Published online: 2012-01-25
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
Minimal cellular automaton model with heterogeneous cell sizes predicts epithelial colony growth
Steffen Lange, Jannik Schmied, Paul Willam and Anja Voss-BöhmeJournal of Theoretical Biology 592 111882 (2024)
https://doi.org/10.1016/j.jtbi.2024.111882
Morphological Stability for in silico Models of Avascular Tumors
Erik Blom and Stefan EngblomBulletin of Mathematical Biology 86 (7) (2024)
https://doi.org/10.1007/s11538-024-01297-x
Invasion front dynamics of interactive populations in environments with barriers
Youness AzimzadeScientific Reports 12 (1) (2022)
https://doi.org/10.1038/s41598-022-04806-x
A phenotype-structured model to reproduce the avascular growth of a tumor and its interaction with the surrounding environment
Giada Fiandaca, Sara Bernardi, Marco Scianna and Marcello Edoardo DelitalaJournal of Theoretical Biology 535 110980 (2022)
https://doi.org/10.1016/j.jtbi.2021.110980
Biomechanical modelling of cancer: Agent‐based force‐based models of solid tumours within the context of the tumour microenvironment
Cicely K. MacnamaraComputational and Systems Oncology 1 (2) (2021)
https://doi.org/10.1002/cso2.1018
Multiscale dynamics of a heterotypic cancer cell population within a fibrous extracellular matrix
Robyn Shuttleworth and Dumitru TrucuJournal of Theoretical Biology 486 110040 (2020)
https://doi.org/10.1016/j.jtbi.2019.110040
Effect of heterogeneity and spatial correlations on the structure of a tumor invasion front in cellular environments
Youness Azimzade, Abbas Ali Saberi and Muhammad SahimiPhysical Review E 100 (6) (2019)
https://doi.org/10.1103/PhysRevE.100.062409
Multiscale Modelling of Fibres Dynamics and Cell Adhesion within Moving Boundary Cancer Invasion
Robyn Shuttleworth and Dumitru TrucuBulletin of Mathematical Biology 81 (7) 2176 (2019)
https://doi.org/10.1007/s11538-019-00598-w
The influence of soluble fragments of extracellular matrix (ECM) on tumor growth and morphology
Nurun N Nargis, Ralph C Aldredge and Robert D GuyMathematical Biosciences 296 1 (2018)
https://doi.org/10.1016/j.mbs.2017.11.014
On a structured multiscale model for acid-mediated tumor invasion: The effects of adhesion and proliferation
Christian Engwer, Christian Stinner and Christina SurulescuMathematical Models and Methods in Applied Sciences 27 (07) 1355 (2017)
https://doi.org/10.1142/S0218202517400188
Proteolytic and non-proteolytic regulation of collective cell invasion: tuning by ECM density and organization
Sandeep Kumar, Aastha Kapoor, Sejal Desai, Mandar M. Inamdar and Shamik SenScientific Reports 6 (1) (2016)
https://doi.org/10.1038/srep19905
Simulating tissue mechanics with agent-based models: concepts, perspectives and some novel results
P. Van Liedekerke, M. M. Palm, N. Jagiella and D. DrasdoComputational Particle Mechanics 2 (4) 401 (2015)
https://doi.org/10.1007/s40571-015-0082-3
A cellular Potts model analyzing differentiated cell behavior during in vivo vascularization of a hypoxic tissue
Marco Scianna, Eleonora Bassino and Luca MunaronComputers in Biology and Medicine 63 143 (2015)
https://doi.org/10.1016/j.compbiomed.2015.05.020
A Measure-Theoretic Model for Collective Cell Migration and Aggregation
A. Colombi, M. Scianna, L. Preziosi, A. Stephanou and V. VolpertMathematical Modelling of Natural Phenomena 10 (1) 4 (2015)
https://doi.org/10.1051/mmnp/201510101
Adjoint method for a tumor growth PDE-constrained optimization problem
D.A. Knopoff, D.R. Fernández, G.A. Torres and C.V. TurnerComputers & Mathematics with Applications 66 (6) 1104 (2013)
https://doi.org/10.1016/j.camwa.2013.05.028