Seck, Cheikh; Ngom, Mouhamadou; Ndiaye, Lamine A study on non-classical optimal control and dynamic regional controllability by scalability of tumor evolution. (English) Zbl 07727268 Int. J. Numer. Methods Appl. 23, No. 1, 67-85 (2023). MSC: 92C32 49J20 93B05 PDFBibTeX XMLCite \textit{C. Seck} et al., Int. J. Numer. Methods Appl. 23, No. 1, 67--85 (2023; Zbl 07727268) Full Text: DOI
Lu, Min-Jhe; Hao, Wenrui; Hu, Bei; Li, Shuwang Bifurcation analysis of a free boundary model of vascular tumor growth with a necrotic core and chemotaxis. (English) Zbl 1506.35008 J. Math. Biol. 86, No. 1, Paper No. 19, 28 p. (2023). MSC: 35B32 35B35 35K57 35R35 35Q92 PDFBibTeX XMLCite \textit{M.-J. Lu} et al., J. Math. Biol. 86, No. 1, Paper No. 19, 28 p. (2023; Zbl 1506.35008) Full Text: DOI arXiv
Dou, Xu’an; Liu, Jian-Guo; Zhou, Zhennan A tumor growth model with autophagy: the reaction-(cross-)diffusion system and its free boundary limit. (English) Zbl 1502.35178 Discrete Contin. Dyn. Syst., Ser. B 28, No. 3, 1964-1992 (2023). MSC: 35Q92 92C17 92C37 92-10 92-08 65M06 65N06 35R35 PDFBibTeX XMLCite \textit{X. Dou} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 3, 1964--1992 (2023; Zbl 1502.35178) Full Text: DOI arXiv
Zhang, Xiaohong; Hu, Bei; Zhang, Zhengce A three-dimensional angiogenesis model with time-delay. (English) Zbl 1502.35185 Discrete Contin. Dyn. Syst., Ser. B 28, No. 3, 1823-1854 (2023). MSC: 35Q92 35R35 35K57 35B40 92C37 92C17 35R07 PDFBibTeX XMLCite \textit{X. Zhang} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 3, 1823--1854 (2023; Zbl 1502.35185) Full Text: DOI
Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen Analysis of a tumor model as a multicomponent deformable porous medium. (English) Zbl 1490.76207 Interfaces Free Bound. 24, No. 2, 235-262 (2022). MSC: 76S05 74N30 PDFBibTeX XMLCite \textit{P. Krejčí} et al., Interfaces Free Bound. 24, No. 2, 235--262 (2022; Zbl 1490.76207) Full Text: DOI arXiv
Lu, Min-Jhe; Hao, Wenrui; Liu, Chun; Lowengrub, John; Li, Shuwang Nonlinear simulation of vascular tumor growth with chemotaxis and the control of necrosis. (English) Zbl 07525143 J. Comput. Phys. 459, Article ID 111153, 33 p. (2022). MSC: 92Cxx 35Bxx 35Rxx PDFBibTeX XMLCite \textit{M.-J. Lu} et al., J. Comput. Phys. 459, Article ID 111153, 33 p. (2022; Zbl 07525143) Full Text: DOI arXiv
Colin, Thierry; Michel, Thomas; Poignard, Clair Mathematical modeling of gastro-intestinal metastasis resistance to tyrosine kinase inhibitors. (English) Zbl 1497.92110 Suzuki, Takashi (ed.) et al., Methods of mathematical oncology. Fusion of mathematics and biology. Selected papers based on the presentations at the symposium, Osaka, Japan, October 26–28, 2020. Singapore: Springer. Springer Proc. Math. Stat. 370, 15-49 (2021). MSC: 92C50 35B40 35Q92 92C10 92-10 PDFBibTeX XMLCite \textit{T. Colin} et al., Springer Proc. Math. Stat. 370, 15--49 (2021; Zbl 1497.92110) Full Text: DOI
Song, Huijuan; Hu, Bei; Wang, Zejia Stationary solutions of a free boundary problem modeling the growth of vascular tumors with a necrotic core. (English) Zbl 1465.35420 Discrete Contin. Dyn. Syst., Ser. B 26, No. 1, 667-691 (2021). MSC: 35R35 35K57 35B32 35B35 92B05 PDFBibTeX XMLCite \textit{H. Song} et al., Discrete Contin. Dyn. Syst., Ser. B 26, No. 1, 667--691 (2021; Zbl 1465.35420) Full Text: DOI arXiv
Zhang, Xiaohong; Zhang, Zhengce Linear stability for a periodic tumor angiogenesis model with free boundary. (English) Zbl 1466.92043 Nonlinear Anal., Real World Appl. 59, Article ID 103236, 21 p. (2021). MSC: 92C32 35K57 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{Z. Zhang}, Nonlinear Anal., Real World Appl. 59, Article ID 103236, 21 p. (2021; Zbl 1466.92043) Full Text: DOI
Sun, Wenlong; Han, Xiaoying; Kloeden, Peter Analysis of a nonautonomous free boundary tumor model with infinite time delays. (English) Zbl 1443.35203 J. Elliptic Parabol. Equ. 6, No. 1, 5-25 (2020). MSC: 35R35 35A02 35B35 35B40 35Q92 35R10 PDFBibTeX XMLCite \textit{W. Sun} et al., J. Elliptic Parabol. Equ. 6, No. 1, 5--25 (2020; Zbl 1443.35203) Full Text: DOI
Wu, Junde; Xu, Shihe Asymptotic behavior of a nonlinear necrotic tumor model with a periodic external nutrient supply. (English) Zbl 1442.35483 Discrete Contin. Dyn. Syst., Ser. B 25, No. 7, 2453-2460 (2020). MSC: 35Q92 92C37 35B10 35B09 35B35 35B20 35R35 35A01 35A02 PDFBibTeX XMLCite \textit{J. Wu} and \textit{S. Xu}, Discrete Contin. Dyn. Syst., Ser. B 25, No. 7, 2453--2460 (2020; Zbl 1442.35483) Full Text: DOI
Zhao, Xinyue Evelyn; Hu, Bei Symmetry-breaking bifurcation for a free-boundary tumor model with time delay. (English) Zbl 1439.35042 J. Differ. Equations 269, No. 3, 1829-1862 (2020). MSC: 35B32 35R35 35Q92 58E09 PDFBibTeX XMLCite \textit{X. E. Zhao} and \textit{B. Hu}, J. Differ. Equations 269, No. 3, 1829--1862 (2020; Zbl 1439.35042) Full Text: DOI
Sun, Wenlong; Caraballo, Tomás; Han, Xiaoying; Kloeden, Peter E. A free boundary tumor model with time dependent nutritional supply. (English) Zbl 1433.35431 Nonlinear Anal., Real World Appl. 53, Article ID 103063, 20 p. (2020). MSC: 35Q92 92C37 35R35 35B40 35R09 PDFBibTeX XMLCite \textit{W. Sun} et al., Nonlinear Anal., Real World Appl. 53, Article ID 103063, 20 p. (2020; Zbl 1433.35431) Full Text: DOI Link
Zhao, Xinyue Evelyn; Hu, Bei The impact of time delay in a tumor model. (English) Zbl 1433.35434 Nonlinear Anal., Real World Appl. 51, Article ID 103015, 29 p. (2020). MSC: 35Q92 35R35 92C50 35B32 92C37 35B35 PDFBibTeX XMLCite \textit{X. E. Zhao} and \textit{B. Hu}, Nonlinear Anal., Real World Appl. 51, Article ID 103015, 29 p. (2020; Zbl 1433.35434) Full Text: DOI arXiv Link
Wu, Junde; Wang, Chen Radially symmetric growth of necrotic tumors and connection with nonnecrotic tumors. (English) Zbl 1433.35433 Nonlinear Anal., Real World Appl. 50, 25-33 (2019). MSC: 35Q92 35B35 35B40 35R35 92C50 35B06 92C37 PDFBibTeX XMLCite \textit{J. Wu} and \textit{C. Wang}, Nonlinear Anal., Real World Appl. 50, 25--33 (2019; Zbl 1433.35433) Full Text: DOI
Zhuang, Yuehong; Cui, Shangbin Analysis of a free boundary problem modeling the growth of spherically symmetric tumors with angiogenesis. (English) Zbl 1415.35294 Acta Appl. Math. 161, 153-169 (2019). MSC: 35R35 35B35 35B40 PDFBibTeX XMLCite \textit{Y. Zhuang} and \textit{S. Cui}, Acta Appl. Math. 161, 153--169 (2019; Zbl 1415.35294) Full Text: DOI
Huang, Yaodan; Zhang, Zhengce; Hu, Bei Bifurcation from stability to instability for a free boundary tumor model with angiogenesis. (English) Zbl 1414.35236 Discrete Contin. Dyn. Syst. 39, No. 5, 2473-2510 (2019). MSC: 35Q92 35B35 35R35 35B40 35C10 92C37 PDFBibTeX XMLCite \textit{Y. Huang} et al., Discrete Contin. Dyn. Syst. 39, No. 5, 2473--2510 (2019; Zbl 1414.35236) Full Text: DOI
Shen, Haishuang; Wei, Xuemei A qualitative analysis of a free boundary problem modeling tumor growth with angiogenesis. (English) Zbl 1414.35244 Nonlinear Anal., Real World Appl. 47, 106-126 (2019). MSC: 35Q92 92C37 35R35 35B40 35A01 35A02 PDFBibTeX XMLCite \textit{H. Shen} and \textit{X. Wei}, Nonlinear Anal., Real World Appl. 47, 106--126 (2019; Zbl 1414.35244) Full Text: DOI
Zhuang, Yuehong Asymptotic behavior of solutions of a free-boundary tumor model with angiogenesis. (English) Zbl 1406.35446 Nonlinear Anal., Real World Appl. 44, 86-105 (2018). MSC: 35Q92 35R35 35J25 35B40 35B35 92C37 PDFBibTeX XMLCite \textit{Y. Zhuang}, Nonlinear Anal., Real World Appl. 44, 86--105 (2018; Zbl 1406.35446) Full Text: DOI
Garcke, Harald; Lam, Kei Fong; Nürnberg, Robert; Sitka, Emanuel A multiphase Cahn-Hilliard-Darcy model for tumour growth with necrosis. (English) Zbl 1380.92029 Math. Models Methods Appl. Sci. 28, No. 3, 525-577 (2018). MSC: 92C50 35K57 35R35 65M60 PDFBibTeX XMLCite \textit{H. Garcke} et al., Math. Models Methods Appl. Sci. 28, No. 3, 525--577 (2018; Zbl 1380.92029) Full Text: DOI arXiv
Huang, Yaodan; Zhang, Zhengce; Hu, Bei Bifurcation for a free-boundary tumor model with angiogenesis. (English) Zbl 1366.92060 Nonlinear Anal., Real World Appl. 35, 483-502 (2017). MSC: 92C50 35B32 PDFBibTeX XMLCite \textit{Y. Huang} et al., Nonlinear Anal., Real World Appl. 35, 483--502 (2017; Zbl 1366.92060) Full Text: DOI
Delitala, Marcello; Lorenzi, Tommaso Emergence of spatial patterns in a mathematical model for the co-culture dynamics of epithelial-like and mesenchymal-like cells. (English) Zbl 1361.92010 Math. Biosci. Eng. 14, No. 1, 79-93 (2017). MSC: 92C15 92C17 92C50 PDFBibTeX XMLCite \textit{M. Delitala} and \textit{T. Lorenzi}, Math. Biosci. Eng. 14, No. 1, 79--93 (2017; Zbl 1361.92010) Full Text: DOI
Semerdjieva, Rossitza On the smoothness of the free boundary in a nonlocal one-dimensional parabolic free boundary value problem. (English) Zbl 1346.35242 Open Math. 13, 265-272 (2015). MSC: 35R35 35K10 35B65 PDFBibTeX XMLCite \textit{R. Semerdjieva}, Open Math. 13, 265--272 (2015; Zbl 1346.35242) Full Text: DOI arXiv
Xu, Shihe; Zhou, Qinghua; Bai, Meng Qualitative analysis of a time-delayed free boundary problem for tumor growth under the action of external inhibitors. (English) Zbl 1334.35139 Math. Methods Appl. Sci. 38, No. 17, 4187-4198 (2015). MSC: 35K57 35Q92 35B40 35A01 PDFBibTeX XMLCite \textit{S. Xu} et al., Math. Methods Appl. Sci. 38, No. 17, 4187--4198 (2015; Zbl 1334.35139) Full Text: DOI
Xu, Shihe Stability of solutions to a free boundary problem for tumor growth. (English) Zbl 1295.35070 Int. J. Differ. Equ. 2014, Article ID 427547, 4 p. (2014). MSC: 35B35 35R35 35Q92 PDFBibTeX XMLCite \textit{S. Xu}, Int. J. Differ. Equ. 2014, Article ID 427547, 4 p. (2014; Zbl 1295.35070) 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 PDFBibTeX XMLCite \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
Calzada, M. Carmen; Fernández-Cara, Enrique; Marín, Mercedes Optimal control oriented to therapy for a free-boundary tumor growth model. (English) Zbl 1314.92080 J. Theor. Biol. 325, 1-11 (2013). MSC: 92C50 35J47 35Q92 35R35 PDFBibTeX XMLCite \textit{M. C. Calzada} et al., J. Theor. Biol. 325, 1--11 (2013; Zbl 1314.92080) 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 PDFBibTeX XMLCite \textit{A. Bertuzzi} et al., Math. Models Methods Appl. Sci. 23, No. 14, 2561--2602 (2013; Zbl 1280.92019) Full Text: DOI
Escher, Joachim; Matioc, Anca-Voichita Analysis of a two-phase model describing the growth of solid tumors. (English) Zbl 1261.76053 Eur. J. Appl. Math. 24, No. 1, 25-48 (2013). MSC: 76T99 92C50 PDFBibTeX XMLCite \textit{J. Escher} and \textit{A.-V. Matioc}, Eur. J. Appl. Math. 24, No. 1, 25--48 (2013; Zbl 1261.76053) Full Text: DOI
Xu, Shihe; Wu, Xiao; Bai, Meng; Zhao, Xiangqing Analysis of a time-delayed mathematical model for tumour growth with inhibitors. (English) Zbl 1277.35333 Appl. Anal. 92, No. 4, 703-717 (2013). MSC: 35Q92 35R35 35A01 35A02 35K51 92C50 PDFBibTeX XMLCite \textit{S. Xu} et al., Appl. Anal. 92, No. 4, 703--717 (2013; Zbl 1277.35333) Full Text: DOI
Tosin, Andrea Initial/boundary-value problems of tumor growth within a host tissue. (English) Zbl 1259.35212 J. Math. Biol. 66, No. 1-2, 163-202 (2013). MSC: 35Q92 35B45 92B05 35K51 35K65 PDFBibTeX XMLCite \textit{A. Tosin}, J. Math. Biol. 66, No. 1--2, 163--202 (2013; Zbl 1259.35212) Full Text: DOI arXiv
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao Continuation along bifurcation branches for a tumor model with a necrotic core. (English) Zbl 1328.92032 J. Sci. Comput. 53, No. 2, 395-413 (2012). MSC: 92C50 65H20 65M06 PDFBibTeX XMLCite \textit{W. Hao} et al., J. Sci. Comput. 53, No. 2, 395--413 (2012; Zbl 1328.92032) Full Text: DOI
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao Bifurcation for a free boundary problem modeling the growth of a tumor with a necrotic core. (English) Zbl 1238.35193 Nonlinear Anal., Real World Appl. 13, No. 2, 694-709 (2012). MSC: 35R35 35Q92 92C50 35K40 35B32 PDFBibTeX XMLCite \textit{W. Hao} et al., Nonlinear Anal., Real World Appl. 13, No. 2, 694--709 (2012; Zbl 1238.35193) Full Text: DOI
Shi, Bao; Zhang, Fangwei; Xu, Shihe Hopf bifurcation of a mathematical model for growth of tumors with an action of inhibitor and two time delays. (English) Zbl 1218.92049 Abstr. Appl. Anal. 2011, Article ID 980686, 10 p. (2011). Reviewer: Fengqin Zhang (Yuncheng) MSC: 92C50 35B32 37N25 35Q92 PDFBibTeX XMLCite \textit{B. Shi} et al., Abstr. Appl. Anal. 2011, Article ID 980686, 10 p. (2011; Zbl 1218.92049) Full Text: DOI EuDML
Xu, Shihe; Feng, Zhaoyong Analysis of a mathematical model for tumor growth under indirect effect of inhibitors with time delay in proliferation. (English) Zbl 1203.35036 J. Math. Anal. Appl. 374, No. 1, 178-186 (2011). MSC: 35B35 35K51 35Q92 35R10 35B32 PDFBibTeX XMLCite \textit{S. Xu} and \textit{Z. Feng}, J. Math. Anal. Appl. 374, No. 1, 178--186 (2011; Zbl 1203.35036) Full Text: DOI
Xu, Shihe Hopf bifurcation of a free boundary problem modeling tumor growth with two time delays. (English) Zbl 1198.35277 Chaos Solitons Fractals 41, No. 5, 2491-2494 (2009). MSC: 35Q92 37N25 35R35 34K18 92C15 92C50 PDFBibTeX XMLCite \textit{S. Xu}, Chaos Solitons Fractals 41, No. 5, 2491--2494 (2009; Zbl 1198.35277) Full Text: DOI
Hou, Xiu-mei; Cui, Shangbin Well-posedness and stability for an elliptic-parabolic free boundary problem modeling the growth of multi-layer tumors. (English) Zbl 1187.35291 Acta Math. Appl. Sin., Engl. Ser. 25, No. 4, 547-560 (2009). MSC: 35R35 35B35 76D27 35B40 92C15 PDFBibTeX XMLCite \textit{X.-m. Hou} and \textit{S. Cui}, Acta Math. Appl. Sin., Engl. Ser. 25, No. 4, 547--560 (2009; Zbl 1187.35291) Full Text: DOI
Cui, Shangbin; Escher, Joachim Well-posedness and stability of a multi-dimensional tumor growth model. (English) Zbl 1161.35058 Arch. Ration. Mech. Anal. 191, No. 1, 173-193 (2009). MSC: 35R35 35Q80 35B35 92C10 PDFBibTeX XMLCite \textit{S. Cui} and \textit{J. Escher}, Arch. Ration. Mech. Anal. 191, No. 1, 173--193 (2009; Zbl 1161.35058) Full Text: DOI
Cui, Shangbin; Escher, Joachim Asymptotic behaviour of solutions of a multidimensional moving boundary problem modeling tumor growth. (English) Zbl 1147.35113 Commun. Partial Differ. Equations 33, No. 4, 636-655 (2008). MSC: 35R35 35B35 35B40 76D27 92C10 PDFBibTeX XMLCite \textit{S. Cui} and \textit{J. Escher}, Commun. Partial Differ. Equations 33, No. 4, 636--655 (2008; Zbl 1147.35113) Full Text: DOI
Zhou, Fujun; Cui, Shangbin Bifurcation for a free boundary problem modeling the growth of multi-layer tumors. (English) Zbl 1135.35101 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 7, 2128-2145 (2008). MSC: 35R35 35B32 92C37 PDFBibTeX XMLCite \textit{F. Zhou} and \textit{S. Cui}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 7, 2128--2145 (2008; Zbl 1135.35101) Full Text: DOI
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 PDFBibTeX XMLCite \textit{X. Wei} and \textit{S. Cui}, Math. Comput. Modelling 45, No. 5--6, 553--563 (2007; Zbl 1165.35318) Full Text: DOI
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 PDFBibTeX XMLCite \textit{X. Wei} and \textit{S. Cui}, Nonlinear Anal., Real World Appl. 8, No. 3, 922--938 (2007; Zbl 1134.35368) Full Text: DOI
Mishra, Somna; Katiyar, V. K.; Arora, V. Mathematical modeling of chemotherapy strategies in vascular tumor growth using nanoparticles. (English) Zbl 1117.92035 Appl. Math. Comput. 189, No. 2, 1246-1254 (2007). MSC: 92C50 35Q92 PDFBibTeX XMLCite \textit{S. Mishra} et al., Appl. Math. Comput. 189, No. 2, 1246--1254 (2007; Zbl 1117.92035) Full Text: DOI
Cui, Shangbin; Xu, Shihe Analysis of mathematical models for the growth of tumors with time delays in cell proliferation. (English) Zbl 1116.92032 J. Math. Anal. Appl. 336, No. 1, 523-541 (2007). MSC: 92C50 35Q80 34K60 37N25 34K25 PDFBibTeX XMLCite \textit{S. Cui} and \textit{S. Xu}, J. Math. Anal. Appl. 336, No. 1, 523--541 (2007; Zbl 1116.92032) Full Text: DOI
Zhou, Fujun Analysis for a free boundary problem modeling tumor therapy. (English) Zbl 1104.35076 Appl. Math., Ser. B (Engl. Ed.) 21, No. 2, 143-151 (2006). MSC: 35R35 35Q80 35K35 92C37 PDFBibTeX XMLCite \textit{F. Zhou}, Appl. Math., Ser. B (Engl. Ed.) 21, No. 2, 143--151 (2006; Zbl 1104.35076) Full Text: DOI
Cui, Shangbin; Wei, Xuemei Global existence for a parabolic-hyperbolic free boundary problem modelling tumor growth. (English) Zbl 1104.35072 Acta Math. Appl. Sin., Engl. Ser. 21, No. 4, 597-614 (2005). MSC: 35R35 35Q80 35K35 35R05 92C37 PDFBibTeX XMLCite \textit{S. Cui} and \textit{X. Wei}, Acta Math. Appl. Sin., Engl. Ser. 21, No. 4, 597--614 (2005; Zbl 1104.35072) Full Text: DOI
Cui, Shangbin Analysis of a free boundary problem modeling tumor growth. (English) Zbl 1108.35138 Acta Math. Sin., Engl. Ser. 21, No. 5, 1071-1082 (2005). Reviewer: Brian D. Sleeman (Leeds) MSC: 35Q92 35R35 35C10 92C37 PDFBibTeX XMLCite \textit{S. Cui}, Acta Math. Sin., Engl. Ser. 21, No. 5, 1071--1082 (2005; Zbl 1108.35138) Full Text: DOI
Barrea, Andrés; Turner, Cristina A numerical analysis of a model of growth tumor. (English) Zbl 1075.92032 Appl. Math. Comput. 167, No. 1, 345-354 (2005). MSC: 92C50 35R35 65N35 PDFBibTeX XMLCite \textit{A. Barrea} and \textit{C. Turner}, Appl. Math. Comput. 167, No. 1, 345--354 (2005; Zbl 1075.92032) Full Text: DOI
Chen, Xinfu; Cui, Shangbin; Friedman, Avner A hyperbolic free boundary problem modeling tumor growth: asymptotic behavior. (English) Zbl 1082.35166 Trans. Am. Math. Soc. 357, No. 12, 4771-4804 (2005). Reviewer: Antonio Fasano (Firenze) MSC: 35R35 35B40 92C50 35L70 35Q80 PDFBibTeX XMLCite \textit{X. Chen} et al., Trans. Am. Math. Soc. 357, No. 12, 4771--4804 (2005; Zbl 1082.35166) Full Text: DOI
Tao, Youshan; Guo, Qian The competitive dynamics between tumor cells, a replication-competent virus and an immune response. (English) Zbl 1066.92035 J. Math. Biol. 51, No. 1, 37-74 (2005). MSC: 92C50 35Q92 92C05 35R35 PDFBibTeX XMLCite \textit{Y. Tao} and \textit{Q. Guo}, J. Math. Biol. 51, No. 1, 37--74 (2005; Zbl 1066.92035) Full Text: DOI
Cui, Shangbin; Friedman, Avner A free boundary problem for a singular system of differential equations: An application to a model of tumor growth. (English) Zbl 1036.34018 Trans. Am. Math. Soc. 355, No. 9, 3537-3590 (2003). Reviewer: Sergei A. Brykalov (Ekaterinburg) MSC: 34B15 92C15 35Q80 PDFBibTeX XMLCite \textit{S. Cui} and \textit{A. Friedman}, Trans. Am. Math. Soc. 355, No. 9, 3537--3590 (2003; Zbl 1036.34018) Full Text: DOI