Mani, V. N. Deiva; Karthikeyan, S.; Shangerganesh, L.; Anthoni, S. Marshal Solvability of the acid-mediated tumor growth model with nonlinear acid production term. (English) Zbl 07758538 J. Elliptic Parabol. Equ. 9, No. 2, 887-900 (2023). MSC: 35K51 35K57 35Q92 PDF BibTeX XML Cite \textit{V. N. D. Mani} et al., J. Elliptic Parabol. Equ. 9, No. 2, 887--900 (2023; Zbl 07758538) Full Text: DOI
Zhang, Yang A free boundary problem of the cancer invasion. (English) Zbl 1484.35419 Discrete Contin. Dyn. Syst., Ser. B 27, No. 3, 1323-1343 (2022). MSC: 35R35 35B40 35K51 35K58 92B05 PDF BibTeX XML Cite \textit{Y. Zhang}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 3, 1323--1343 (2022; Zbl 1484.35419) Full Text: DOI
Moschetta, Pierfrancesco; Simeoni, Chiara Numerical investigation of the Gatenby-Gawlinski model for acid-mediated tumour invasion. (English) Zbl 1437.35677 Rend. Mat. Appl., VII. Ser. 40, No. 3-4, 257-287 (2019). MSC: 35Q92 92C37 35C07 65M08 PDF BibTeX XML Cite \textit{P. Moschetta} and \textit{C. Simeoni}, Rend. Mat. Appl., VII. Ser. 40, No. 3--4, 257--287 (2019; Zbl 1437.35677) Full Text: Link
Lingeshwaran, Shangerganesh; Nallasamy, Deiva Mani; Shanmugasundaram, Karthikeyan Renormalized and entropy solutions of tumor growth model with nonlinear acid production. (English) Zbl 1488.35304 Math. Model. Anal. 22, No. 5, 695-716 (2017). MSC: 35K57 35K65 92D25 35D99 PDF BibTeX XML Cite \textit{S. Lingeshwaran} et al., Math. Model. Anal. 22, No. 5, 695--716 (2017; Zbl 1488.35304) Full Text: DOI
Holder, Andrew B.; Rodrigo, Marianito R.; Herrero, Miguel A. A model for acid-mediated tumour growth with nonlinear acid production term. (English) Zbl 1365.92047 Appl. Math. Comput. 227, 176-198 (2014). MSC: 92C50 35K57 PDF BibTeX XML Cite \textit{A. B. Holder} et al., Appl. Math. Comput. 227, 176--198 (2014; Zbl 1365.92047) Full Text: DOI Link
McGillen, Jessica B.; Gaffney, Eamonn A.; Martin, Natasha K.; Maini, Philip K. A general reaction-diffusion model of acidity in cancer invasion. (English) Zbl 1288.35186 J. Math. Biol. 68, No. 5, 1199-1224 (2014). MSC: 35C20 35K55 35K57 65M20 92C50 35C07 35B40 PDF BibTeX XML Cite \textit{J. B. McGillen} et al., J. Math. Biol. 68, No. 5, 1199--1224 (2014; Zbl 1288.35186) Full Text: DOI
Fasano, Antonio; Gandolfi, Alberto The steady state of multicellular tumour spheroids: a modelling challenge. (English) Zbl 1345.92076 Ledzewicz, Urszula (ed.) et al., Mathematical methods and models in biomedicine. New York, NY: Springer (ISBN 978-1-4614-4177-9/pbk; 978-1-4614-4178-6/ebook). Lecture Notes on Mathematical Modelling in the Life Sciences, 179-202 (2013). MSC: 92C50 92C37 PDF BibTeX XML Cite \textit{A. Fasano} and \textit{A. Gandolfi}, in: Mathematical methods and models in biomedicine. New York, NY: Springer. 179--202 (2013; Zbl 1345.92076) Full Text: DOI
Bertuzzi, Alessandro; Fasano, Antonio; Gandolfi, Alberto; Sinisgalli, Carmela Modeling the evolution of a tumoral multicellular spheroid as a two-fluid Bingham-like system. (English) Zbl 1280.92019 Math. Models Methods Appl. Sci. 23, No. 14, 2561-2602 (2013). MSC: 92C50 92C35 35Q92 92-08 PDF BibTeX XML Cite \textit{A. Bertuzzi} et al., Math. Models Methods Appl. Sci. 23, No. 14, 2561--2602 (2013; Zbl 1280.92019) Full Text: DOI
Märkl, Christian; Meral, Gülnihal; Surulescu, Christina Mathematical analysis and numerical simulations for a system modeling acid-mediated tumor cell invasion. (English) Zbl 1268.92067 Int. J. Anal. 2013, Article ID 878051, 15 p. (2013). MSC: 92C50 92-08 PDF BibTeX XML Cite \textit{C. Märkl} et al., Int. J. Anal. 2013, Article ID 878051, 15 p. (2013; Zbl 1268.92067) Full Text: DOI
Bertuzzi, Alessandro; Fasano, Antonio; Gandolfi, Alberto; Sinisgalli, Carmela Necrotic core in EMT6/Ro tumour spheroids: is it caused by an ATP deficit? (English) Zbl 1403.92104 J. Theor. Biol. 262, No. 1, 142-150 (2010). MSC: 92C50 92C37 92C40 PDF BibTeX XML Cite \textit{A. Bertuzzi} et al., J. Theor. Biol. 262, No. 1, 142--150 (2010; Zbl 1403.92104) Full Text: DOI HAL
Fasano, Antonio; Herrero, Miguel A.; Rodrigo, Marianito R. Slow and fast invasion waves in a model of acid-mediated tumour growth. (English) Zbl 1178.35120 Math. Biosci. 220, No. 1, 45-56 (2009). Reviewer: J. M. Tchuenche (Dar es Salaam) MSC: 35C07 35K57 92B05 92C15 35B40 PDF BibTeX XML Cite \textit{A. Fasano} et al., Math. Biosci. 220, No. 1, 45--56 (2009; Zbl 1178.35120) Full Text: DOI