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Multiphase modeling and qualitative analysis of the growth of tumor cords
1.  Department of Mathematics, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy 
[1] 
Zejia Wang, Suzhen Xu, Huijuan Song. Stationary solutions of a free boundary problem modeling growth of angiogenesis tumor with inhibitor. Discrete & Continuous Dynamical Systems  B, 2018, 23 (6) : 25932605. doi: 10.3934/dcdsb.2018129 
[2] 
Junde Wu, Shangbin Cui. Asymptotic behavior of solutions for parabolic differential equations with invariance and applications to a free boundary problem modeling tumor growth. Discrete & Continuous Dynamical Systems  A, 2010, 26 (2) : 737765. doi: 10.3934/dcds.2010.26.737 
[3] 
Shihe Xu. Analysis of a delayed free boundary problem for tumor growth. Discrete & Continuous Dynamical Systems  B, 2011, 15 (1) : 293308. doi: 10.3934/dcdsb.2011.15.293 
[4] 
Shihe Xu, Yinhui Chen, Meng Bai. Analysis of a free boundary problem for avascular tumor growth with a periodic supply of nutrients. Discrete & Continuous Dynamical Systems  B, 2016, 21 (3) : 9971008. doi: 10.3934/dcdsb.2016.21.997 
[5] 
Junde Wu. Bifurcation for a free boundary problem modeling the growth of necrotic multilayered tumors. Discrete & Continuous Dynamical Systems  A, 2019, 39 (6) : 33993411. doi: 10.3934/dcds.2019140 
[6] 
JianGuo Liu, Min Tang, Li Wang, Zhennan Zhou. Analysis and computation of some tumor growth models with nutrient: From cell density models to free boundary dynamics. Discrete & Continuous Dynamical Systems  B, 2019, 24 (7) : 30113035. doi: 10.3934/dcdsb.2018297 
[7] 
Shihe Xu, Meng Bai, Fangwei Zhang. Analysis of a free boundary problem for tumor growth with GibbsThomson relation and time delays. Discrete & Continuous Dynamical Systems  B, 2018, 23 (9) : 35353551. doi: 10.3934/dcdsb.2017213 
[8] 
Fujun Zhou, Shangbin Cui. Wellposedness and stability of a multidimensional moving boundary problem modeling the growth of tumor cord. Discrete & Continuous Dynamical Systems  A, 2008, 21 (3) : 929943. doi: 10.3934/dcds.2008.21.929 
[9] 
Huijuan Song, Bei Hu, Zejia Wang. Stationary solutions of a free boundary problem modeling the growth of vascular tumors with a necrotic core. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020084 
[10] 
Yueping Dong, Rinko Miyazaki, Yasuhiro Takeuchi. Mathematical modeling on helper T cells in a tumor immune system. Discrete & Continuous Dynamical Systems  B, 2014, 19 (1) : 5572. doi: 10.3934/dcdsb.2014.19.55 
[11] 
T.L. Jackson. A mathematical model of prostate tumor growth and androgenindependent relapse. Discrete & Continuous Dynamical Systems  B, 2004, 4 (1) : 187201. doi: 10.3934/dcdsb.2004.4.187 
[12] 
J. Ignacio Tello. On a mathematical model of tumor growth based on cancer stem cells. Mathematical Biosciences & Engineering, 2013, 10 (1) : 263278. doi: 10.3934/mbe.2013.10.263 
[13] 
Hyun Geun Lee, Yangjin Kim, Junseok Kim. Mathematical model and its fast numerical method for the tumor growth. Mathematical Biosciences & Engineering, 2015, 12 (6) : 11731187. doi: 10.3934/mbe.2015.12.1173 
[14] 
Avner Friedman. Free boundary problems arising in biology. Discrete & Continuous Dynamical Systems  B, 2018, 23 (1) : 193202. doi: 10.3934/dcdsb.2018013 
[15] 
Yaodan Huang, Zhengce Zhang, Bei Hu. Bifurcation from stability to instability for a free boundary tumor model with angiogenesis. Discrete & Continuous Dynamical Systems  A, 2019, 39 (5) : 24732510. doi: 10.3934/dcds.2019105 
[16] 
Anatoli Babin, Alexander Figotin. Some mathematical problems in a neoclassical theory of electric charges. Discrete & Continuous Dynamical Systems  A, 2010, 27 (4) : 12831326. doi: 10.3934/dcds.2010.27.1283 
[17] 
Harald Garcke, Kei Fong Lam. Analysis of a CahnHilliard system with nonzero Dirichlet conditions modeling tumor growth with chemotaxis. Discrete & Continuous Dynamical Systems  A, 2017, 37 (8) : 42774308. doi: 10.3934/dcds.2017183 
[18] 
Andrea Signori. Optimal treatment for a phase field system of CahnHilliard type modeling tumor growth by asymptotic scheme. Mathematical Control & Related Fields, 2020, 10 (2) : 305331. doi: 10.3934/mcrf.2019040 
[19] 
Avner Friedman. Free boundary problems for systems of Stokes equations. Discrete & Continuous Dynamical Systems  B, 2016, 21 (5) : 14551468. doi: 10.3934/dcdsb.2016006 
[20] 
Serena Dipierro, Enrico Valdinoci. (Non)local and (non)linear free boundary problems. Discrete & Continuous Dynamical Systems  S, 2018, 11 (3) : 465476. doi: 10.3934/dcdss.2018025 
2019 Impact Factor: 1.053
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