ATP Production and Necrosis Formation in a Tumour Spheroid Model
Math. Model. Nat. Phenom., 2 3 (2007) 30-46
Published online: 2008-06-15
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):
Relating Macroscopic PET Radiomics Features to Microscopic Tumor Phenotypes Using a Stochastic Mathematical Model of Cellular Metabolism and Proliferation
Hailey S. H. Ahn, Yas Oloumi Yazdi, Brennan J. Wadsworth, Kevin L. Bennewith, Arman Rahmim and Ivan S. KlyuzhinCancers 16 (12) 2215 (2024)
https://doi.org/10.3390/cancers16122215
Selected aspects of avascular tumor growth reproduced by a hybrid model of cell dynamics and chemical kinetics
Marco SciannaMathematical Biosciences 370 109168 (2024)
https://doi.org/10.1016/j.mbs.2024.109168
Symmetry analysis of an acid-mediated cancer invasion model
Juya Cui and Ben GaoAIMS Mathematics 7 (9) 16949 (2022)
https://doi.org/10.3934/math.2022930
Emerging tissue engineering strategies for the corneal regeneration
Mahsa Fallah Tafti, Hossein Aghamollaei, Mehrdad Moosazadeh Moghaddam, et al.Journal of Tissue Engineering and Regenerative Medicine 16 (8) 683 (2022)
https://doi.org/10.1002/term.3309
83 (2021)
https://doi.org/10.1109/ICBCB52223.2021.9459214
Modeling of Tumor Occurrence and Growth - I
S.N. Antontsev, A.A. Papin , M.A. Tokareva, E.I. Leonova and E.A. GridushkoIzvestiya of Altai State University (4(114)) 70 (2020)
https://doi.org/10.14258/izvasu(2020)4-11
Print Me An Organ! Why We Are Not There Yet
Wei Long Ng, Chee Kai Chua and Yu-Fang ShenProgress in Polymer Science 97 101145 (2019)
https://doi.org/10.1016/j.progpolymsci.2019.101145
Various Mathematical Models of Tumor Growth with Reference to Cancer Stem Cells: A Review
Azim Rivaz, Mahdieh Azizian and Madjid SoltaniIranian Journal of Science and Technology, Transactions A: Science 43 (2) 687 (2019)
https://doi.org/10.1007/s40995-019-00681-w
A microscale mathematical model for metabolic symbiosis: Investigating the effects of metabolic inhibition on ATP turnover in tumors
Colin Phipps, Hamid Molavian and Mohammad KohandelJournal of Theoretical Biology 366 103 (2015)
https://doi.org/10.1016/j.jtbi.2014.11.016
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
Initial/boundary-value problems of tumor growth within a host tissue
Andrea TosinJournal of Mathematical Biology 66 (1-2) 163 (2013)
https://doi.org/10.1007/s00285-012-0505-1
A multiple time-scale computational model of a tumor and its micro environment
Mathematical Biosciences and Engineering 10 (1) 121 (2013)https://doi.org/10.3934/mbe.2013.10.121
Mathematical Methods and Models in Biomedicine
Antonio Fasano and Alberto GandolfiLecture Notes on Mathematical Modelling in the Life Sciences, Mathematical Methods and Models in Biomedicine 179 (2013)
https://doi.org/10.1007/978-1-4614-4178-6_7
MODELING THE EVOLUTION OF A TUMORAL MULTICELLULAR SPHEROID AS A TWO-FLUID BINGHAM-LIKE SYSTEM
ALESSANDRO BERTUZZI, ANTONIO FASANO, ALBERTO GANDOLFI and CARMELA SINISGALLIMathematical Models and Methods in Applied Sciences 23 (14) 2561 (2013)
https://doi.org/10.1142/S0218202513500401
New Challenges for Cancer Systems Biomedicine
Antonio FasanoSIMAI Springer Series, New Challenges for Cancer Systems Biomedicine 173 (2012)
https://doi.org/10.1007/978-88-470-2571-4_9
Modelling acidosis and the cell cycle in multicellular tumour spheroids
Marcus J. Tindall, Louise Dyson, Kieran Smallbone and Philip K. MainiJournal of Theoretical Biology 298 107 (2012)
https://doi.org/10.1016/j.jtbi.2011.11.009
A quantitative theoretical model for the development of malignancy in ductal carcinoma in situ
Ariosto S. Silva, Robert A. Gatenby, Robert J. Gillies and Jose Andres YunesJournal of Theoretical Biology 262 (4) 601 (2010)
https://doi.org/10.1016/j.jtbi.2009.10.031
Necrotic core in EMT6/Ro tumour spheroids: Is it caused by an ATP deficit?
Alessandro Bertuzzi, Antonio Fasano, Alberto Gandolfi and Carmela SinisgalliJournal of Theoretical Biology 262 (1) 142 (2010)
https://doi.org/10.1016/j.jtbi.2009.09.024
Nonlinear modelling of cancer: bridging the gap between cells and tumours
J S Lowengrub, H B Frieboes, F Jin, et al.Nonlinearity 23 (1) R1 (2010)
https://doi.org/10.1088/0951-7715/23/1/R01
Mathematical modelling of the Warburg effect in tumour cords
Sergey Astanin and Luigi PreziosiJournal of Theoretical Biology 258 (4) 578 (2009)
https://doi.org/10.1016/j.jtbi.2009.01.034
Slow and fast invasion waves in a model of acid-mediated tumour growth
Antonio Fasano, Miguel A. Herrero and Marianito R. RodrigoMathematical Biosciences 220 (1) 45 (2009)
https://doi.org/10.1016/j.mbs.2009.04.001