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:

Three-Dimensional Continuum Model of Lumen Formation in a Cluster of Cells Immersed in an Extracellular Matrix: The Role of Mechanical Factors

S. A. Logvenkov
Fluid Dynamics 59 (3) 377 (2024)
https://doi.org/10.1134/S0015462824600299

Machine learning approach for recognition and morphological analysis of isolated astrocytes in phase contrast microscopy

Egor V. Yakovlev, Ivan V. Simkin, Anastasiya A. Shirokova, Nataliya A. Kolotieva, Svetlana V. Novikova, Artur D. Nasyrov, Ilya R. Denisenko, Konstantin D. Gursky, Ivan N. Shishkov, Diana E. Narzaeva, Alla B. Salmina, Stanislav O. Yurchenko and Nikita P. Kryuchkov
Scientific Reports 14 (1) (2024)
https://doi.org/10.1038/s41598-024-59773-2

Modeling the extracellular matrix in cell migration and morphogenesis: a guide for the curious biologist

Rebecca M. Crossley, Samuel Johnson, Erika Tsingos, Zoe Bell, Massimiliano Berardi, Margherita Botticelli, Quirine J. S. Braat, John Metzcar, Marco Ruscone, Yuan Yin and Robyn Shuttleworth
Frontiers in Cell and Developmental Biology 12 (2024)
https://doi.org/10.3389/fcell.2024.1354132

High-accuracy positivity-preserving numerical method for Keller-Segel model

Lin Zhang, Yongbin Ge and Xiaojia Yang
Mathematical Biosciences and Engineering 20 (5) 8601 (2023)
https://doi.org/10.3934/mbe.2023378

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

Pooya Abdi and Bahman Vahidi
AIP Advances 12 (5) (2022)
https://doi.org/10.1063/5.0087884

On the role of mechanical signals on sprouting angiogenesis through computer modeling approaches

Tamer Abdalrahman and Sara Checa
Biomechanics and Modeling in Mechanobiology 21 (6) 1623 (2022)
https://doi.org/10.1007/s10237-022-01648-4

A novel nonlocal partial differential equation model of endothelial progenitor cell cluster formation during the early stages of vasculogenesis

Chiara Villa, Alf Gerisch and Mark A.J. Chaplain
Journal of Theoretical Biology 534 110963 (2022)
https://doi.org/10.1016/j.jtbi.2021.110963

Mechanical Models of Pattern and Form in Biological Tissues: The Role of Stress–Strain Constitutive Equations

Chiara Villa, Mark A. J. Chaplain, Alf Gerisch and Tommaso Lorenzi
Bulletin of Mathematical Biology 83 (7) (2021)
https://doi.org/10.1007/s11538-021-00912-5

A minimalist model for coevolving supply and drainage networks

Shashank Kumar Anand, Milad Hooshyar, Jan Martin Nordbotten and Amilcare Porporato
Royal Society Open Science 8 (2) (2021)
https://doi.org/10.1098/rsos.201407

Numerical approximation of a 3D mechanochemical interface model for skin patterning

Luis Miguel De Oliveira Vilaca, Michel C. Milinkovitch and Ricardo Ruiz-Baier
Journal of Computational Physics 384 383 (2019)
https://doi.org/10.1016/j.jcp.2019.01.023

New Developments in Tissue Engineering and Regeneration

M. J. Gómez-Benito, C. Valero, J. M. García-Aznar and E. Javierre
Computational Methods in Applied Sciences, New Developments in Tissue Engineering and Regeneration 51 1 (2019)
https://doi.org/10.1007/978-3-030-15372-4_1

A local uPAR-plasmin-TGFβ1 positive feedback loop in a qualitative computational model of angiogenic sprouting explains the in vitro effect of fibrinogen variants

Sonja E. M. Boas, Joao Carvalho, Marloes van den Broek, et al.
PLOS Computational Biology 14 (7) e1006239 (2018)
https://doi.org/10.1371/journal.pcbi.1006239

Mathematical and Computational Approaches in Advancing Modern Science and Engineering

Nicoleta Tarfulea
Mathematical and Computational Approaches in Advancing Modern Science and Engineering 319 (2016)
https://doi.org/10.1007/978-3-319-30379-6_30

Multiscale Mechano-Biological Finite Element Modelling of Oncoplastic Breast Surgery—Numerical Study towards Surgical Planning and Cosmetic Outcome Prediction

Vasileios Vavourakis, Bjoern Eiben, John H. Hipwell, et al.
PLOS ONE 11 (7) e0159766 (2016)
https://doi.org/10.1371/journal.pone.0159766

Simulation and Synthesis in Medical Imaging

Juan Ortiz-Pla, Elies Fuster-Garcia, Javier Juan-Albarracin and Juan Miguel Garcia-Gomez
Lecture Notes in Computer Science, Simulation and Synthesis in Medical Imaging 9968 65 (2016)
https://doi.org/10.1007/978-3-319-46630-9_7

Modeling of anisotropic wound healing

C. Valero, E. Javierre, J.M. García-Aznar, M.J. Gómez-Benito and A. Menzel
Journal of the Mechanics and Physics of Solids 79 80 (2015)
https://doi.org/10.1016/j.jmps.2015.03.009

On the mathematical modeling of wound healing angiogenesis in skin as a reaction-transport process

Jennifer A. Flegg, Shakti N. Menon, Philip K. Maini and D. L. Sean McElwain
Frontiers in Physiology 6 (2015)
https://doi.org/10.3389/fphys.2015.00262

Simulating tissue mechanics with agent-based models: concepts, perspectives and some novel results

P. Van Liedekerke, M. M. Palm, N. Jagiella and D. Drasdo
Computational Particle Mechanics 2 (4) 401 (2015)
https://doi.org/10.1007/s40571-015-0082-3

Challenges in the Modeling of Wound Healing Mechanisms in Soft Biological Tissues

C. Valero, E. Javierre, J. M. García-Aznar, A. Menzel and M. J. Gómez-Benito
Annals of Biomedical Engineering 43 (7) 1654 (2015)
https://doi.org/10.1007/s10439-014-1200-8

On the derivation of angiogenesis tissue models: From the micro-scale to the macro-scale

Nicola Bellomo and Abdelghani Bellouquid
Mathematics and Mechanics of Solids 20 (3) 268 (2015)
https://doi.org/10.1177/1081286514544855

Automating the Processing Steps for Obtaining Bone Tissue-Engineered Substitutes: From Imaging Tools to Bioreactors

Pedro F. Costa, Albino Martins, Nuno M. Neves, Manuela E. Gomes and Rui L. Reis
Tissue Engineering Part B: Reviews 20 (6) 567 (2014)
https://doi.org/10.1089/ten.teb.2013.0751

Mechanical Cell-Matrix Feedback Explains Pairwise and Collective Endothelial Cell Behavior In Vitro

René F. M. van Oers, Elisabeth G. Rens, Danielle J. LaValley, et al.
PLoS Computational Biology 10 (8) e1003774 (2014)
https://doi.org/10.1371/journal.pcbi.1003774

Automating the processing steps for obtaining bone tissue engineered substitutes: from imaging tools to bioreactors

Pedro F. Costa, Albino Martins, Nuno M. Neves, Manuela Gomes and Rui L. Reis
Tissue Engineering Part B: Reviews 140327082832003 (2014)
https://doi.org/10.1089/ten.TEB.2013.0751

A viscoelastic model of blood capillary extension and regression: derivation, analysis, and simulation

Xiaoming Zheng and Chunjing Xie
Journal of Mathematical Biology 68 (1-2) 57 (2014)
https://doi.org/10.1007/s00285-012-0624-8

A Cell-Based Model of Extracellular-Matrix-Guided Endothelial Cell Migration During Angiogenesis

Josephine T. Daub and Roeland M. H. Merks
Bulletin of Mathematical Biology 75 (8) 1377 (2013)
https://doi.org/10.1007/s11538-013-9826-5

A continuous model of angiogenesis: Initiation, extension, and maturation of new blood vessels modulated by vascular endothelial growth factor, angiopoietins, platelet-derived growth factor-B, and pericytes

Xiaoming Zheng, Gou Young Koh and Trachette Jackson
Discrete & Continuous Dynamical Systems - B 18 (4) 1109 (2013)
https://doi.org/10.3934/dcdsb.2013.18.1109

Numerical modelling of the angiogenesis process in wound contraction

C. Valero, E. Javierre, J. M. García-Aznar and M. J. Gómez-Benito
Biomechanics and Modeling in Mechanobiology 12 (2) 349 (2013)
https://doi.org/10.1007/s10237-012-0403-x

Biophysical Regulation of Vascular Differentiation and Assembly

Hasan E. Abaci, Donny Hanjaya-Putra and Sharon Gerecht
Biological and Medical Physics, Biomedical Engineering, Biophysical Regulation of Vascular Differentiation and Assembly 127 (2011)
https://doi.org/10.1007/978-1-4419-7835-6_7

Forms of travelling waves admitted by a mechanochemical model of tumour angiogenesis

Kazimierz Piechór
Mathematical Methods in the Applied Sciences 33 (12) 1482 (2010)
https://doi.org/10.1002/mma.1262

On the Modelling of Biological Patterns with Mechanochemical Models: Insights from Analysis and Computation

P. Moreo, E. A. Gaffney, J. M. García-Aznar and M. Doblaré
Bulletin of Mathematical Biology 72 (2) 400 (2010)
https://doi.org/10.1007/s11538-009-9452-4

Multiscale Cancer Modeling

Michael Bergdorf, Florian Milde and Petros Koumoutsakos
Chapman & Hall/CRC Mathematical & Computational Biology, Multiscale Cancer Modeling 20107032 213 (2010)
https://doi.org/10.1201/b10407-12

Molecular dynamics simulation of vascular network formation

Paolo Buttà, Fiammetta Cerreti, Vito D P Servedio and Livio Triolo
Journal of Statistical Mechanics: Theory and Experiment 2009 (05) P05013 (2009)
https://doi.org/10.1088/1742-5468/2009/05/P05013

Modeling Morphogenesisin silicoandin vitro: Towards Quantitative, Predictive, Cell-based Modeling

R. M. H. Merks and P. Koolwijk
Mathematical Modelling of Natural Phenomena 4 (4) 149 (2009)
https://doi.org/10.1051/mmnp/20094406

A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models

Alina Chertock and Alexander Kurganov
Numerische Mathematik 111 (2) 169 (2008)
https://doi.org/10.1007/s00211-008-0188-0

Contact-Inhibited Chemotaxis in De Novo and Sprouting Blood-Vessel Growth

Roeland M. H. Merks, Erica D. Perryn, Abbas Shirinifard, James A. Glazier and Philip E. Bourne
PLoS Computational Biology 4 (9) e1000163 (2008)
https://doi.org/10.1371/journal.pcbi.1000163

A Cell-Based Model Exhibiting Branching and Anastomosis during Tumor-Induced Angiogenesis

Amy L. Bauer, Trachette L. Jackson and Yi Jiang
Biophysical Journal 92 (9) 3105 (2007)
https://doi.org/10.1529/biophysj.106.101501

On numerical modelling of growth, differentiation and damage in structural living tissues

M. Doblaré and J. M. García-Aznar
Archives of Computational Methods in Engineering 13 (4) 471 (2006)
https://doi.org/10.1007/BF02905856

MATHEMATICAL MODELLING OF GLIOBLASTOMA TUMOUR DEVELOPMENT: A REVIEW

HARALAMPOS HATZIKIROU, ANDREAS DEUTSCH, CARLO SCHALLER, MATTHIAS SIMON and KRISTIN SWANSON
Mathematical Models and Methods in Applied Sciences 15 (11) 1779 (2005)
https://doi.org/10.1142/S0218202505000960

Computational model of flow–tissue interactions in intussusceptive angiogenesis

Dominik Szczerba and Gábor Székely
Journal of Theoretical Biology 234 (1) 87 (2005)
https://doi.org/10.1016/j.jtbi.2004.11.014

Computational Science – ICCS 2005

Dominik Szczerba and Gábor Székely
Lecture Notes in Computer Science, Computational Science – ICCS 2005 3516 17 (2005)
https://doi.org/10.1007/11428862_3