Investigation of the Migration/Proliferation Dichotomy and its Impact on Avascular Glioma Invasion
Math. Model. Nat. Phenom., 7 1 (2012) 105-135
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):
Biopsy location and tumor-associated macrophages in predicting malignant glioma recurrence using an in-silico model
Pejman Shojaee, Edwin Weinholtz, Nadine S. Schaadt, Friedrich Feuerhake and Haralampos Hatzikirounpj Systems Biology and Applications 11 (1) (2025)
https://doi.org/10.1038/s41540-024-00478-7
Go-or-grow models in biology: a monster on a leash
Ryan Thiessen, Martina Conte, Tracy L. Stepien and Thomas HillenJournal of Mathematical Biology 91 (5) (2025)
https://doi.org/10.1007/s00285-025-02243-8
Modelling and simulation of anisotropic growth in brain tumours through poroelasticity: A study of ventricular compression and therapeutic protocols
Francesca Ballatore, Giulio Lucci and Chiara GiversoComputational Mechanics 74 (5) 1137 (2024)
https://doi.org/10.1007/s00466-024-02471-7
(2024)
https://doi.org/10.1101/2024.06.25.600613
Mathematical modelling of cancer invasion: Phenotypic transitioning provides insight into multifocal foci formation
Zuzanna Szymańska, Mirosław Lachowicz, Nikolaos Sfakianakis and Mark A.J. ChaplainJournal of Computational Science 75 102175 (2024)
https://doi.org/10.1016/j.jocs.2023.102175
A simple agent-based hybrid model to simulate the biophysics of glioblastoma multiforme cells and the concomitant evolution of the oxygen field
Luis Saucedo-Mora, Miguel Ángel Sanz, Francisco Javier Montáns and José María BenítezComputer Methods and Programs in Biomedicine 246 108046 (2024)
https://doi.org/10.1016/j.cmpb.2024.108046
(2023)
https://doi.org/10.1101/2023.11.27.568917
1109 53 (2023)
https://doi.org/10.1007/978-981-99-5001-0_3
Mathematical Oncology to Cancer Systems Medicine: Translation from Academic Pursuit to Individualized Therapy with MORA
Durjoy MajumderCurrent Cancer Therapy Reviews 19 (1) 37 (2023)
https://doi.org/10.2174/1573394718666220517112049
Collective motion driven by nutrient consumption
Pierre-Emmanuel Jabin and Benoît PerthameAsymptotic Analysis 133 (4) 483 (2023)
https://doi.org/10.3233/ASY-221820
Non-Markovian Persistent Random Walk Model for Intracellular Transport
Nickolay Korabel, Hamed Al Shamsi, Alexey O. Ivanov and Sergei FedotovFractal and Fractional 7 (10) 758 (2023)
https://doi.org/10.3390/fractalfract7100758
Data driven modeling of pseudopalisade pattern formation
Sandesh Athni Hiremath and Christina SurulescuJournal of Mathematical Biology 87 (1) (2023)
https://doi.org/10.1007/s00285-023-01933-5
33 131 (2023)
https://doi.org/10.1007/978-3-031-35715-2_5
Migration and Proliferation Dichotomy: A Persistent Random Walk of Cancer Cells
Hamed Al ShamsiFractal and Fractional 7 (4) 318 (2023)
https://doi.org/10.3390/fractalfract7040318
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
Nanomedicine for glioblastoma: Progress and future prospects
Imran Khan, Mohammad Hassan Baig, Sadaf Mahfooz, Mohammad Azhar Imran, Mohd Imran Khan, Jae-June Dong, Jae Yong Cho and Mustafa Aziz HatibogluSeminars in Cancer Biology 86 172 (2022)
https://doi.org/10.1016/j.semcancer.2022.06.007
Novel insights into the interaction between long non-coding RNAs and microRNAs in glioma
Anahita Ebrahimpour, Mohammad Sarfi, Setareh Rezatabar and Sadra Samavarchi TehraniMolecular and Cellular Biochemistry 476 (6) 2317 (2021)
https://doi.org/10.1007/s11010-021-04080-x
Multiscale modeling of glioma pseudopalisades: contributions from the tumor microenvironment
Pawan Kumar, Jing Li and Christina SurulescuJournal of Mathematical Biology 82 (6) (2021)
https://doi.org/10.1007/s00285-021-01599-x
Mathematical modeling of glioma invasion: acid- and vasculature mediated go-or-grow dichotomy and the influence of tissue anisotropy
Martina Conte and Christina SurulescuApplied Mathematics and Computation 407 126305 (2021)
https://doi.org/10.1016/j.amc.2021.126305
Non-local multiscale approach for the impact of go or grow hypothesis on tumour-viruses interactions
Abdulhamed Alsisi, Raluca Eftimie and Dumitru TrucuMathematical Biosciences and Engineering 18 (5) 5252 (2021)
https://doi.org/10.3934/mbe.2021267
Mathematical Modelling of Glioblastomas Invasion within the Brain: A 3D Multi-Scale Moving-Boundary Approach
Szabolcs Suveges, Kismet Hossain-Ibrahim, J. Douglas Steele, Raluca Eftimie and Dumitru TrucuMathematics 9 (18) 2214 (2021)
https://doi.org/10.3390/math9182214
In vitro biomimetic models for glioblastoma-a promising tool for drug response studies
Tijana Stanković, Teodora Ranđelović, Miodrag Dragoj, Sonja Stojković Burić, Luis Fernández, Ignacio Ochoa, Victor M. Pérez-García and Milica PešićDrug Resistance Updates 55 100753 (2021)
https://doi.org/10.1016/j.drup.2021.100753
(2020)
https://doi.org/10.1101/2020.10.29.360669
Complex Social and Behavioral Systems
Haralambos Hatzikirou, Georg Breier and Andreas DeutschComplex Social and Behavioral Systems 851 (2020)
https://doi.org/10.1007/978-1-0716-0368-0_60
Towards Personalized Diagnosis of Glioblastoma in Fluid-Attenuated Inversion Recovery (FLAIR) by Topological Interpretable Machine Learning
Matteo Rucco, Giovanna Viticchi and Lorenzo FalsettiMathematics 8 (5) 770 (2020)
https://doi.org/10.3390/math8050770
Cell – extracellular matrix interaction in glioma growth. In silico model
Vladimir KalininJournal of Integrative Bioinformatics 17 (4) (2020)
https://doi.org/10.1515/jib-2020-0027
Glioma invasion and its interplay with nervous tissue and therapy: A multiscale model
Martina Conte, Luca Gerardo-Giorda and Maria GroppiJournal of Theoretical Biology 486 110088 (2020)
https://doi.org/10.1016/j.jtbi.2019.110088
Spirals and Vortices
Simon Syga, Josué M. Nava-Sedeño, Lutz Brusch and Andreas DeutschThe Frontiers Collection, Spirals and Vortices 253 (2019)
https://doi.org/10.1007/978-3-030-05798-5_15
On the Impact of Chemo-Mechanically Induced Phenotypic Transitions in Gliomas
Pietro Mascheroni, Juan Carlos López Alfonso, Maria Kalli, Triantafyllos Stylianopoulos, Michael Meyer-Hermann and Haralampos HatzikirouCancers 11 (5) 716 (2019)
https://doi.org/10.3390/cancers11050716
A Review of Cell-Based Computational Modeling in Cancer Biology
John Metzcar, Yafei Wang, Randy Heiland and Paul MacklinJCO Clinical Cancer Informatics (3) 1 (2019)
https://doi.org/10.1200/CCI.18.00069
A checkpoint-oriented cell cycle simulation model
David Bernard, Odile Mondesert, Aurélie Gomes, et al.Cell Cycle 18 (8) 795 (2019)
https://doi.org/10.1080/15384101.2019.1591125
Encyclopedia of Complexity and Systems Science
Haralambos Hatzikirou, Georg Breier and Andreas DeutschEncyclopedia of Complexity and Systems Science 1 (2019)
https://doi.org/10.1007/978-3-642-27737-5_60-6
Advances in Glioblastoma Multiforme Treatment: New Models for Nanoparticle Therapy
Elif Ozdemir-Kaynak, Amina A. Qutub and Ozlem Yesil-CeliktasFrontiers in Physiology 9 (2018)
https://doi.org/10.3389/fphys.2018.00170
Numerical Methods and Advanced Simulation in Biomechanics and Biological Processes
D. Drasdo, A. Buttenschön and P. Van LiedekerkeNumerical Methods and Advanced Simulation in Biomechanics and Biological Processes 223 (2018)
https://doi.org/10.1016/B978-0-12-811718-7.00012-5
Developmentally regulated signaling pathways in glioma invasion
Shwetal Mehta and Costanza Lo CascioCellular and Molecular Life Sciences 75 (3) 385 (2018)
https://doi.org/10.1007/s00018-017-2608-8
(2018)
https://doi.org/10.1101/476150
Higher-order models for glioma invasion: From a two-scale description to effective equations for mass density and momentum
G. Corbin, A. Hunt, A. Klar, F. Schneider and C. SurulescuMathematical Models and Methods in Applied Sciences 28 (09) 1771 (2018)
https://doi.org/10.1142/S0218202518400055
Cell adhesion heterogeneity reinforces tumour cell dissemination: novel insights from a mathematical model
David Reher, Barbara Klink, Andreas Deutsch and Anja Voss-BöhmeBiology Direct 12 (1) (2017)
https://doi.org/10.1186/s13062-017-0188-z
Cellular automaton models for time-correlated random walks: derivation and analysis
J. M. Nava-Sedeño, H. Hatzikirou, R. Klages and A. DeutschScientific Reports 7 (1) (2017)
https://doi.org/10.1038/s41598-017-17317-x
Amoeboid-mesenchymal migration plasticity promotes invasion only in complex heterogeneous microenvironments
Katrin Talkenberger, Elisabetta Ada Cavalcanti-Adam, Anja Voss-Böhme and Andreas DeutschScientific Reports 7 (1) (2017)
https://doi.org/10.1038/s41598-017-09300-3
The biology and mathematical modelling of glioma invasion: a review
J. C. L. Alfonso, K. Talkenberger, M. Seifert, et al.Journal of The Royal Society Interface 14 (136) 20170490 (2017)
https://doi.org/10.1098/rsif.2017.0490
A Multiscale Modeling Approach to Glioma Invasion with Therapy
Alexander Hunt and Christina SurulescuVietnam Journal of Mathematics 45 (1-2) 221 (2017)
https://doi.org/10.1007/s10013-016-0223-x
Why one-size-fits-all vaso-modulatory interventions fail to control glioma invasion: in silico insights
J. C. L. Alfonso, A. Köhn-Luque, T. Stylianopoulos, et al.Scientific Reports 6 (1) (2016)
https://doi.org/10.1038/srep37283
Global existence for a go-or-grow multiscale model for tumor invasion with therapy
Christian Stinner, Christina Surulescu and Aydar UatayMathematical Models and Methods in Applied Sciences 26 (11) 2163 (2016)
https://doi.org/10.1142/S021820251640011X
Annexin A1 contributes to pancreatic cancer cell phenotype, behaviour and metastatic potential independently of Formyl Peptide Receptor pathway
Raffaella Belvedere, Valentina Bizzarro, Giovanni Forte, et al.Scientific Reports 6 (1) (2016)
https://doi.org/10.1038/srep29660
A multiscale model for glioma spread including cell-tissue interactions and proliferation
Christian Engwer, Markus Knappitsch and Christina SurulescuMathematical Biosciences and Engineering 13 (2) 443 (2016)
https://doi.org/10.3934/mbe.2015011
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
An Emerging Allee Effect Is Critical for Tumor Initiation and Persistence
Katrin Böttger, Haralambos Hatzikirou, Anja Voss-Böhme, et al.PLOS Computational Biology 11 (9) e1004366 (2015)
https://doi.org/10.1371/journal.pcbi.1004366
Cellular Automata and Discrete Complex Systems
Andreas DeutschLecture Notes in Computer Science, Cellular Automata and Discrete Complex Systems 9099 1 (2015)
https://doi.org/10.1007/978-3-662-47221-7_1
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
Analysis of Individual Cell Trajectories in Lattice-Gas Cellular Automaton Models for Migrating Cell Populations
Carsten Mente, Anja Voss-Böhme and Andreas DeutschBulletin of Mathematical Biology 77 (4) 660 (2015)
https://doi.org/10.1007/s11538-015-0079-3
Evolution of intratumoral phenotypic heterogeneity: the role of trait inheritance
Jill Gallaher and Alexander R. A. AndersonInterface Focus 3 (4) 20130016 (2013)
https://doi.org/10.1098/rsfs.2013.0016