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Bridging scales: A hybrid model to simulate vascular tumor growth and treatment response
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Computational Insights into the Interplay of Mechanical Forces in Angiogenesis
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Daria Stepanova, Helen M. Byrne, Philip K. Maini and Tomás Alarcón WIREs Mechanisms of Disease 16(2) (2024) https://doi.org/10.1002/wsbm.1634
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
Long-term day-by-day tracking of microvascular networks sprouting in fibrin gels: From detailed morphological analyses to general growth rules
Katarzyna O. Rojek, Antoni Wrzos, Stanisław Żukowski, Michał Bogdan, Maciej Lisicki, Piotr Szymczak and Jan Guzowski APL Bioengineering 8(1) (2024) https://doi.org/10.1063/5.0180703
The Statistical Theory of the Angiogenesis Equations
Modelling of chemotactic sprouting endothelial cells through an extracellular matrix
Josep Ferre-Torres, Adria Noguera-Monteagudo, Adrian Lopez-Canosa, J. Roberto Romero-Arias, Rafael Barrio, Oscar Castaño and Aurora Hernandez-Machado Frontiers in Bioengineering and Biotechnology 11 (2023) https://doi.org/10.3389/fbioe.2023.1145550
External mechanical loading overrules cell-cell mechanical communication in sprouting angiogenesis during early bone regeneration
Chiara Dazzi, Julia Mehl, Mounir Benamar, Holger Gerhardt, Petra Knaus, Georg N. Duda, Sara Checa and Roeland M. H. Merks PLOS Computational Biology 19(11) e1011647 (2023) https://doi.org/10.1371/journal.pcbi.1011647
Approaches to vascular network, blood flow, and metabolite distribution modeling in brain tissue
Tissue-growth-based synthetic tree generation and perfusion simulation
Hyun Jin Kim, Hans Christian Rundfeldt, Inpyo Lee and Seungmin Lee Biomechanics and Modeling in Mechanobiology 22(3) 1095 (2023) https://doi.org/10.1007/s10237-023-01703-8
An image-informed Cahn–Hilliard Keller–Segel multiphase field model for tumor growth with angiogenesis
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) https://doi.org/10.1111/cpr.13187
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 14(4) (2022) https://doi.org/10.1002/wsbm.1550
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) https://doi.org/10.1137/21M1418575
Positivity preserving high order schemes for angiogenesis models
Biologically-Based Mathematical Modeling of Tumor Vasculature and Angiogenesis via Time-Resolved Imaging Data
David A. Hormuth, Caleb M. Phillips, Chengyue Wu, Ernesto A. B. F. Lima, Guillermo Lorenzo, Prashant K. Jha, Angela M. Jarrett, J. Tinsley Oden and Thomas E. Yankeelov Cancers 13(12) 3008 (2021) https://doi.org/10.3390/cancers13123008
Evaluating snail-trail frameworks for leader-follower behavior with agent-based modeling
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) https://doi.org/10.1371/journal.pcbi.1006919
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) https://doi.org/10.1515/ijnsns-2019-0094
A Computational Model of the Endothelial to Mesenchymal Transition
Luis L. Bonilla, Manuel Carretero and Filippo Terragni Springer Proceedings in Mathematics & Statistics, Stochastic Dynamics Out of Equilibrium 282 413 (2019) https://doi.org/10.1007/978-3-030-15096-9_13
Rocío Vega, Manuel Carretero, Rui D.M. Travasso and Luis L. Bonilla (2019) https://doi.org/10.1101/569897
William Y. Wang, Daphne Lin, Evan H. Jarman, William J. Polacheck and Brendon M. Baker (2019) https://doi.org/10.1101/868497
Computational Modeling to Quantify the Contributions of VEGFR1, VEGFR2, and Lateral Inhibition in Sprouting Angiogenesis
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) https://doi.org/10.1098/rsif.2018.0415
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) https://doi.org/10.1007/978-3-319-76599-0_6
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) https://doi.org/10.1007/s12015-018-9825-x
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) https://doi.org/10.1111/cas.13395
Capillary network formation from dispersed endothelial cells: Influence of cell traction, cell adhesion, and extracellular matrix rigidity
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) https://doi.org/10.1098/rsos.171639
A convergent numerical scheme for integrodifferential kinetic models of angiogenesis