Dai, Feng; Liu, Bin Global solution for a general cross-diffusion two-competitive-predator and one-prey system with predator-taxis. (English) Zbl 1450.35139 Commun. Nonlinear Sci. Numer. Simul. 89, Article ID 105336, 21 p. (2020). MSC: 35K51 35A01 35A02 35A09 92D25 PDF BibTeX XML Cite \textit{F. Dai} and \textit{B. Liu}, Commun. Nonlinear Sci. Numer. Simul. 89, Article ID 105336, 21 p. (2020; Zbl 1450.35139) Full Text: DOI OpenURL
Giacobbe, Andrea; Mulone, Giuseppe; Wang, Wendi Modeling eating disorders in young people. (English) Zbl 1430.92024 Nonlinear Anal., Real World Appl. 53, Article ID 103064, 18 p. (2020). MSC: 92C32 92D30 35Q92 PDF BibTeX XML Cite \textit{A. Giacobbe} et al., Nonlinear Anal., Real World Appl. 53, Article ID 103064, 18 p. (2020; Zbl 1430.92024) Full Text: DOI OpenURL
Pang, Peter Y. H.; Wang, Yifu Global boundedness of solutions to a chemotaxis-haptotaxis model with tissue remodeling. (English) Zbl 1416.35052 Math. Models Methods Appl. Sci. 28, No. 11, 2211-2235 (2018). Reviewer: Andrey Zahariev (Plovdiv) MSC: 35B45 35Q92 92C17 35K59 35K51 PDF BibTeX XML Cite \textit{P. Y. H. Pang} and \textit{Y. Wang}, Math. Models Methods Appl. Sci. 28, No. 11, 2211--2235 (2018; Zbl 1416.35052) Full Text: DOI OpenURL
Lai, Xiulan; Friedman, Avner Exosomal microRNA concentrations in colorectal cancer: a mathematical model. (English) Zbl 1368.92056 J. Theor. Biol. 415, 70-83 (2017). MSC: 92C40 92C50 PDF BibTeX XML Cite \textit{X. Lai} and \textit{A. Friedman}, J. Theor. Biol. 415, 70--83 (2017; Zbl 1368.92056) Full Text: DOI OpenURL
Pang, Peter Y. H.; Wang, Yifu Global existence of a two-dimensional chemotaxis-haptotaxis model with remodeling of non-diffusible attractant. (English) Zbl 1364.35121 J. Differ. Equations 263, No. 2, 1269-1292 (2017). MSC: 35K45 35B45 35K55 35Q92 92C17 PDF BibTeX XML Cite \textit{P. Y. H. Pang} and \textit{Y. Wang}, J. Differ. Equations 263, No. 2, 1269--1292 (2017; Zbl 1364.35121) Full Text: DOI OpenURL
Zheng, Jiashan Boundedness of solutions to a quasilinear higher-dimensional chemotaxis-haptotaxis model with nonlinear diffusion. (English) Zbl 1353.92026 Discrete Contin. Dyn. Syst. 37, No. 1, 627-643 (2017). MSC: 92C17 35K55 35K59 35K20 PDF BibTeX XML Cite \textit{J. Zheng}, Discrete Contin. Dyn. Syst. 37, No. 1, 627--643 (2017; Zbl 1353.92026) Full Text: DOI OpenURL
Zheng, Jiashan; Wang, Yifu Boundedness of solutions to a quasilinear chemotaxis-haptotaxis model. (English) Zbl 1443.92063 Comput. Math. Appl. 71, No. 9, 1898-1909 (2016). MSC: 92C17 35A09 35M33 PDF BibTeX XML Cite \textit{J. Zheng} and \textit{Y. Wang}, Comput. Math. Appl. 71, No. 9, 1898--1909 (2016; Zbl 1443.92063) Full Text: DOI OpenURL
Li, Chenglin Global existence of classical solutions to the cross-diffusion three-species model with prey-taxis. (English) Zbl 1366.92107 Comput. Math. Appl. 72, No. 5, 1394-1401 (2016). MSC: 92D25 PDF BibTeX XML Cite \textit{C. Li}, Comput. Math. Appl. 72, No. 5, 1394--1401 (2016; Zbl 1366.92107) Full Text: DOI OpenURL
Bianchi, Arianna; Painter, Kevin J.; Sherratt, Jonathan A. Spatio-temporal models of lymphangiogenesis in wound healing. (English) Zbl 1352.92016 Bull. Math. Biol. 78, No. 9, 1904-1941 (2016). MSC: 92C15 92C30 PDF BibTeX XML Cite \textit{A. Bianchi} et al., Bull. Math. Biol. 78, No. 9, 1904--1941 (2016; Zbl 1352.92016) Full Text: DOI arXiv OpenURL
Hiruko, Kurumi; Okabe, Shinya Dynamical aspects of a hybrid system describing intermittent androgen suppression therapy of prostate cancer. (English) Zbl 1349.35380 Gazzola, Filippo (ed.) et al., Geometric properties for parabolic and elliptic PDE’s. Contributions of the 4th Italian-Japanese workshop, GPPEPDEs, Palinuro, Italy, May 25–29, 2015. Cham: Springer (ISBN 978-3-319-41536-9/hbk; 978-3-319-41538-3/ebook). Springer Proceedings in Mathematics & Statistics 176, 191-230 (2016). MSC: 35Q92 PDF BibTeX XML Cite \textit{K. Hiruko} and \textit{S. Okabe}, Springer Proc. Math. Stat. 176, 191--230 (2016; Zbl 1349.35380) Full Text: DOI OpenURL
Wang, Yifu; Ke, Yuanyuan Large time behavior of solution to a fully parabolic chemotaxis-haptotaxis model in higher dimensions. (English) Zbl 1336.35070 J. Differ. Equations 260, No. 9, 6960-6988 (2016). Reviewer: Piotr Biler (Wrocław) MSC: 35B40 92C17 35K55 35Q92 35K51 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{Y. Ke}, J. Differ. Equations 260, No. 9, 6960--6988 (2016; Zbl 1336.35070) Full Text: DOI OpenURL
Bianchi, Arianna; Painter, Kevin J.; Sherratt, Jonathan A. A mathematical model for lymphangiogenesis in normal and diabetic wounds. (English) Zbl 1343.92062 J. Theor. Biol. 383, 61-86 (2015). MSC: 92C15 92C50 PDF BibTeX XML Cite \textit{A. Bianchi} et al., J. Theor. Biol. 383, 61--86 (2015; Zbl 1343.92062) Full Text: DOI arXiv OpenURL
Li, Chenglin; Kaushi, Aditya; Yin, Guocheng Global existence of classical solutions to an acid-mediated invasion model for tumor-stromal interactions. (English) Zbl 1333.92025 Appl. Math. Comput. 234, 599-605 (2014). MSC: 92C37 92C17 92C50 PDF BibTeX XML Cite \textit{C. Li} et al., Appl. Math. Comput. 234, 599--605 (2014; Zbl 1333.92025) Full Text: DOI OpenURL
Gnanavel, S.; Balan, N. Barani; Balachandran, K. Simultaneous identification of two time independent coefficients in a nonlinear phase field system. (English) Zbl 1293.49094 J. Optim. Theory Appl. 160, No. 3, 992-1008 (2014). MSC: 49N45 49K40 PDF BibTeX XML Cite \textit{S. Gnanavel} et al., J. Optim. Theory Appl. 160, No. 3, 992--1008 (2014; Zbl 1293.49094) Full Text: DOI OpenURL
Tao, Youshan; Winkler, Michael Energy-type estimates and global solvability in a two-dimensional chemotaxis-haptotaxis model with remodeling of non-diffusible attractant. (English) Zbl 1295.35144 J. Differ. Equations 257, No. 3, 784-815 (2014). MSC: 35B45 35A01 35B65 35K57 35Q92 92C17 PDF BibTeX XML Cite \textit{Y. Tao} and \textit{M. Winkler}, J. Differ. Equations 257, No. 3, 784--815 (2014; Zbl 1295.35144) Full Text: DOI OpenURL
Wu, Min; Frieboes, Hermann B.; McDougall, Steven R.; Chaplain, Mark A. J.; Cristini, Vittorio; Lowengrub, John The effect of interstitial pressure on tumor growth: coupling with the blood and lymphatic vascular systems. (English) Zbl 1406.92330 J. Theor. Biol. 320, 131-151 (2013). MSC: 92C50 92C15 92C35 92C17 PDF BibTeX XML Cite \textit{M. Wu} et al., J. Theor. Biol. 320, 131--151 (2013; Zbl 1406.92330) Full Text: DOI Link OpenURL
Gnanavel, S.; Barani Balan, N.; Balachandran, K. Simultaneous identification of parameters and initial datum of reaction diffusion system by optimization method. (English) Zbl 1438.49057 Appl. Math. Modelling 37, No. 16-17, 8251-8263 (2013). MSC: 49N45 35K51 35R30 PDF BibTeX XML Cite \textit{S. Gnanavel} et al., Appl. Math. Modelling 37, No. 16--17, 8251--8263 (2013; Zbl 1438.49057) Full Text: DOI OpenURL
Gao, Shuaishuai; Wei, Xuemei Analysis of a mathematical model of glioma cells outside the tumor spheroid core. (English) Zbl 1271.35048 Appl. Anal. 92, No. 7, 1379-1392 (2013). MSC: 35K35 35Q92 35R05 92C50 PDF BibTeX XML Cite \textit{S. Gao} and \textit{X. Wei}, Appl. Anal. 92, No. 7, 1379--1392 (2013; Zbl 1271.35048) Full Text: DOI OpenURL
Chen, Duan; Friedman, Avner A two-phase free boundary problem with discontinuous velocity: Application to tumor model. (English) Zbl 1256.35208 J. Math. Anal. Appl. 399, No. 1, 378-393 (2013). MSC: 35R35 35Q92 35B06 92C37 PDF BibTeX XML Cite \textit{D. Chen} and \textit{A. Friedman}, J. Math. Anal. Appl. 399, No. 1, 378--393 (2013; Zbl 1256.35208) Full Text: DOI OpenURL
Li, Chenglin; Hong, Zhangguo Global existence of classical solutions to a three-species predator-prey model with two prey-taxes. (English) Zbl 1241.34061 J. Appl. Math. 2012, Article ID 702603, 12 p. (2012). MSC: 34C60 92D25 47N20 PDF BibTeX XML Cite \textit{C. Li} and \textit{Z. Hong}, J. Appl. Math. 2012, Article ID 702603, 12 p. (2012; Zbl 1241.34061) Full Text: DOI OpenURL
Shangerganesh, L.; Balachandran, K. Existence and uniqueness of solutions of predator-prey type model with mixed boundary conditions. (English) Zbl 1233.35121 Acta Appl. Math. 116, No. 1, 71-86 (2011). Reviewer: Eva Sánchez (Madrid) MSC: 35K57 92D25 35K51 35D30 PDF BibTeX XML Cite \textit{L. Shangerganesh} and \textit{K. Balachandran}, Acta Appl. Math. 116, No. 1, 71--86 (2011; Zbl 1233.35121) Full Text: DOI OpenURL
Kim, Yangjin; Friedman, Avner Interaction of tumor with its micro-environment: a mathematical model. (English) Zbl 1197.92027 Bull. Math. Biol. 72, No. 5, 1029-1068 (2010). MSC: 92C50 92C37 35Q92 93A30 PDF BibTeX XML Cite \textit{Y. Kim} and \textit{A. Friedman}, Bull. Math. Biol. 72, No. 5, 1029--1068 (2010; Zbl 1197.92027) Full Text: DOI OpenURL
Wei, Xuemei; Guo, Cuihua Global existence for a mathematical model of the immune response to cancer. (English) Zbl 1203.35130 Nonlinear Anal., Real World Appl. 11, No. 5, 3903-3911 (2010). MSC: 35K51 35Q92 35K65 35K58 PDF BibTeX XML Cite \textit{X. Wei} and \textit{C. Guo}, Nonlinear Anal., Real World Appl. 11, No. 5, 3903--3911 (2010; Zbl 1203.35130) Full Text: DOI OpenURL
Tao, Youshan Global existence of classical solutions to a predator-prey model with nonlinear prey-taxis. (English) Zbl 1195.35171 Nonlinear Anal., Real World Appl. 11, No. 3, 2056-2064 (2010). MSC: 35K51 35K58 92D25 35K57 PDF BibTeX XML Cite \textit{Y. Tao}, Nonlinear Anal., Real World Appl. 11, No. 3, 2056--2064 (2010; Zbl 1195.35171) Full Text: DOI OpenURL
Tao, Youshan A free boundary problem modeling the cell cycle and cell movement in multicellular tumor spheroids. (English) Zbl 1178.35387 J. Differ. Equations 247, No. 1, 49-68 (2009). Reviewer: Yaping Liu (Pittsburg) MSC: 35R35 92C17 35K35 35Q92 PDF BibTeX XML Cite \textit{Y. Tao}, J. Differ. Equations 247, No. 1, 49--68 (2009; Zbl 1178.35387) Full Text: DOI OpenURL
Tao, Youshan Global existence of classical solutions to a combined chemotaxis-haptotaxis model with logistic source. (English) Zbl 1160.92027 J. Math. Anal. Appl. 354, No. 1, 60-69 (2009). MSC: 92C50 35K57 35Q92 PDF BibTeX XML Cite \textit{Y. Tao}, J. Math. Anal. Appl. 354, No. 1, 60--69 (2009; Zbl 1160.92027) Full Text: DOI OpenURL
Wei, Xuemei; Cui, Shangbin Existence and uniqueness of global solutions for a mathematical model of antiangiogenesis in tumor growth. (English) Zbl 1156.35390 Nonlinear Anal., Real World Appl. 9, No. 5, 1827-1836 (2008). MSC: 35K35 35Q80 35R05 PDF BibTeX XML Cite \textit{X. Wei} and \textit{S. Cui}, Nonlinear Anal., Real World Appl. 9, No. 5, 1827--1836 (2008; Zbl 1156.35390) Full Text: DOI OpenURL
Bellomo, N.; Li, N. K.; Maini, P. K. On the foundations of cancer modelling: selected topics, speculations, and perspectives. (English) Zbl 1151.92014 Math. Models Methods Appl. Sci. 18, No. 4, 593-646 (2008). MSC: 92C50 PDF BibTeX XML Cite \textit{N. Bellomo} et al., Math. Models Methods Appl. Sci. 18, No. 4, 593--646 (2008; Zbl 1151.92014) Full Text: DOI OpenURL
Bellomo, N.; Bellouquid, A.; Delitala, M. From the mathematical kinetic theory of active particles to multiscale modelling of complex biological systems. (English) Zbl 1134.92003 Math. Comput. Modelling 47, No. 7-8, 687-698 (2008). MSC: 92B20 92B05 93A30 92C05 PDF BibTeX XML Cite \textit{N. Bellomo} et al., Math. Comput. Modelling 47, No. 7--8, 687--698 (2008; Zbl 1134.92003) Full Text: DOI OpenURL
Wei, Xuemei; Cui, Shangbin Global well-posedness for a drug transport model in tumor multicell spheroids. (English) Zbl 1165.35318 Math. Comput. Modelling 45, No. 5-6, 553-563 (2007). MSC: 35B30 35K57 35R35 92C50 92C37 PDF BibTeX XML Cite \textit{X. Wei} and \textit{S. Cui}, Math. Comput. Modelling 45, No. 5--6, 553--563 (2007; Zbl 1165.35318) Full Text: DOI OpenURL
Tao, Youshan; Guo, Qian A free boundary problem modelling cancer radiovirotherapy. (English) Zbl 1141.35476 Math. Models Methods Appl. Sci. 17, No. 8, 1241-1259 (2007). MSC: 35R35 35Q80 92C15 92C50 PDF BibTeX XML Cite \textit{Y. Tao} and \textit{Q. Guo}, Math. Models Methods Appl. Sci. 17, No. 8, 1241--1259 (2007; Zbl 1141.35476) Full Text: DOI OpenURL
Wilson, Duncan J.; King, John R.; Byrne, Helen M. Modelling scaffold occupation by a growing, nutrient-rich tissue. (English) Zbl 1135.92010 Math. Models Methods Appl. Sci. 17, Suppl., 1721-1750 (2007). MSC: 92C37 35R35 35Q92 92C50 93A30 PDF BibTeX XML Cite \textit{D. J. Wilson} et al., Math. Models Methods Appl. Sci. 17, 1721--1750 (2007; Zbl 1135.92010) Full Text: DOI OpenURL
Bellomo, N.; Bellouquid, A.; Nieto, J.; Soler, J. Multicellular biological growing systems: hyperbolic limits towards macroscopic description. (English) Zbl 1135.92009 Math. Models Methods Appl. Sci. 17, Suppl., 1675-1692 (2007). MSC: 92C37 92C05 35Q92 PDF BibTeX XML Cite \textit{N. Bellomo} et al., Math. Models Methods Appl. Sci. 17, 1675--1692 (2007; Zbl 1135.92009) Full Text: DOI OpenURL
Bellomo, N.; Maini, P. K. Preface: Challenging mathematical problems in cancer modelling. (English) Zbl 1210.00049 Math. Models Methods Appl. Sci. 17, Suppl., 1641-1645 (2007). MSC: 00B15 92-06 PDF BibTeX XML Cite \textit{N. Bellomo} and \textit{P. K. Maini}, Math. Models Methods Appl. Sci. 17, 1641--1645 (2007; Zbl 1210.00049) Full Text: DOI OpenURL
Wei, Xuemei; Cui, Shangbin Existence and uniqueness of the global solution for a mathematical model of the use of macrophages in tumor medicine. (English) Zbl 1134.35368 Nonlinear Anal., Real World Appl. 8, No. 3, 922-938 (2007). MSC: 35K50 35R35 35K55 92C50 PDF BibTeX XML Cite \textit{X. Wei} and \textit{S. Cui}, Nonlinear Anal., Real World Appl. 8, No. 3, 922--938 (2007; Zbl 1134.35368) Full Text: DOI OpenURL
Bellomo, Nicola; Bellouquid, Abdelghani; Herrero, Miguel A. From microscopic to macroscopic description of multicellular systems and biological growing tissues. (English) Zbl 1121.92025 Comput. Math. Appl. 53, No. 3-4, 647-663 (2007). MSC: 92C37 82D99 45K05 35B40 PDF BibTeX XML Cite \textit{N. Bellomo} et al., Comput. Math. Appl. 53, No. 3--4, 647--663 (2007; Zbl 1121.92025) Full Text: DOI OpenURL
Tao, Youshan; Zhang, Hui A parabolic-hyperbolic free boundary problem modelling tumor treatment with virus. (English) Zbl 1115.35137 Math. Models Methods Appl. Sci. 17, No. 1, 63-80 (2007). MSC: 35Q80 35R35 92C50 PDF BibTeX XML Cite \textit{Y. Tao} and \textit{H. Zhang}, Math. Models Methods Appl. Sci. 17, No. 1, 63--80 (2007; Zbl 1115.35137) Full Text: DOI OpenURL
Bellomo, Nicola; Bellouquid, Abdelghani On the mathematical kinetic theory of active particles with discrete states: The derivation of macroscopic equations. (English) Zbl 1130.92006 Math. Comput. Modelling 44, No. 3-4, 397-404 (2006). MSC: 92B99 82D99 92B05 PDF BibTeX XML Cite \textit{N. Bellomo} and \textit{A. Bellouquid}, Math. Comput. Modelling 44, No. 3--4, 397--404 (2006; Zbl 1130.92006) Full Text: DOI OpenURL
Norris, E. S.; King, J. R.; Byrne, H. M. Modelling the response of spatially structured tumours to chemotherapy: drug kinetics. (English) Zbl 1130.92033 Math. Comput. Modelling 43, No. 7-8, 820-837 (2006). MSC: 92C50 93A30 35Q92 37N25 PDF BibTeX XML Cite \textit{E. S. Norris} et al., Math. Comput. Modelling 43, No. 7--8, 820--837 (2006; Zbl 1130.92033) Full Text: DOI OpenURL
D’Onofrio, A. Tumor-immune system interaction: modeling the tumor-stimulated proliferation of effectors and immunotherapy. (English) Zbl 1094.92040 Math. Models Methods Appl. Sci. 16, No. 8, 1375-1401 (2006). MSC: 92C50 34D05 34C05 34D23 34C60 PDF BibTeX XML Cite \textit{A. D'Onofrio}, Math. Models Methods Appl. Sci. 16, No. 8, 1375--1401 (2006; Zbl 1094.92040) Full Text: DOI OpenURL