Analysis of a Free Boundary Problem Modeling the Growth of Spherically Symmetric Tumors with Angiogenesis

Yuehong Zhuang; Shangbin Cui

doi:10.1007/s10440-018-0208-8

Analysis of a Free Boundary Problem Modeling the Growth of Spherically Symmetric Tumors with Angiogenesis

Acta Applicandae Mathematicae ◽

10.1007/s10440-018-0208-8 ◽

2018 ◽

Vol 161 (1) ◽

pp. 153-169 ◽

Cited By ~ 1

Author(s):

Yuehong Zhuang ◽

Shangbin Cui

Keyword(s):

Free Boundary ◽

Boundary Problem ◽

Free Boundary Problem ◽

Spherically Symmetric ◽

Problem Modeling ◽

A Free Boundary Problem

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The existence and numerical method for a free boundary problem modeling the ductal carcinoma in situ

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107378 ◽

2021 ◽

pp. 107378

Author(s):

Dan Liu ◽

Keji Liu ◽

Dinghua Xu

Keyword(s):

Free Boundary ◽

Numerical Method ◽

Boundary Problem ◽

Free Boundary Problem ◽

Ductal Carcinoma In Situ ◽

Carcinoma In Situ ◽

Ductal Carcinoma ◽

Problem Modeling ◽

A Free Boundary Problem

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A qualitative analysis of a free boundary problem modeling tumor growth with angiogenesis

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2018.10.004 ◽

2019 ◽

Vol 47 ◽

pp. 106-126 ◽

Cited By ~ 3

Author(s):

Haishuang Shen ◽

Xuemei Wei

Keyword(s):

Free Boundary ◽

Tumor Growth ◽

Qualitative Analysis ◽

Boundary Problem ◽

Free Boundary Problem ◽

Problem Modeling ◽

A Free Boundary Problem

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A free boundary problem modeling electrostatic MEMS: I. Linear bending effects

Mathematische Annalen ◽

10.1007/s00208-014-1032-8 ◽

2014 ◽

Vol 360 (1-2) ◽

pp. 307-349 ◽

Cited By ~ 11

Author(s):

Philippe Laurençot ◽

Christoph Walker

Keyword(s):

Free Boundary ◽

Boundary Problem ◽

Free Boundary Problem ◽

Problem Modeling ◽

Electrostatic Mems ◽

A Free Boundary Problem

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Analysis for a free boundary problem modeling tumor therapy

Applied Mathematics-A Journal of Chinese Universities ◽

10.1007/bf02791351 ◽

2006 ◽

Vol 21 (2) ◽

pp. 143-151

Author(s):

Zhou Fujun

Keyword(s):

Free Boundary ◽

Boundary Problem ◽

Free Boundary Problem ◽

Tumor Therapy ◽

Problem Modeling ◽

A Free Boundary Problem

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Hopf bifurcation of a free boundary problem modeling tumor growth with two time delays

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2008.09.029 ◽

2009 ◽

Vol 41 (5) ◽

pp. 2491-2494 ◽

Cited By ~ 10

Author(s):

Shihe Xu

Keyword(s):

Hopf Bifurcation ◽

Free Boundary ◽

Tumor Growth ◽

Boundary Problem ◽

Free Boundary Problem ◽

Time Delays ◽

Problem Modeling ◽

A Free Boundary Problem

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Asymptotic Stability of Stationary Solutions of a Free Boundary Problem Modeling the Growth of Tumors with Fluid Tissues

SIAM Journal on Mathematical Analysis ◽

10.1137/080726550 ◽

2009 ◽

Vol 41 (1) ◽

pp. 391-414 ◽

Cited By ~ 13

Author(s):

Junde Wu ◽

Shangbin Cui

Keyword(s):

Asymptotic Stability ◽

Free Boundary ◽

Boundary Problem ◽

Free Boundary Problem ◽

Stationary Solutions ◽

Problem Modeling ◽

A Free Boundary Problem

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Asymptotic behavior of solutions of a free boundary problem modeling multi-layer tumor growth in presence of inhibitor

Acta Mathematica Sinica English Series ◽

10.1007/s10114-011-8361-2 ◽

2011 ◽

Vol 27 (8) ◽

pp. 1621-1636

Author(s):

Xiu Mei Hou

Keyword(s):

Asymptotic Behavior ◽

Free Boundary ◽

Tumor Growth ◽

Boundary Problem ◽

Free Boundary Problem ◽

Asymptotic Behavior Of Solutions ◽

Problem Modeling ◽

A Free Boundary Problem

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A free boundary problem modeling thermal instabilities: Stability and bifurcation

Journal of Dynamics and Differential Equations ◽

10.1007/bf02218858 ◽

1994 ◽

Vol 6 (3) ◽

pp. 447-486 ◽

Cited By ~ 6

Author(s):

Michael L. Frankel ◽

Victor Roytburd

Keyword(s):

Free Boundary ◽

Boundary Problem ◽

Free Boundary Problem ◽

Problem Modeling ◽

Stability And Bifurcation ◽

A Free Boundary Problem

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Bifurcation from stability to instability for a free boundary problem modeling tumor growth by Stokes equation

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2006.04.034 ◽

2007 ◽

Vol 327 (1) ◽

pp. 643-664 ◽

Cited By ~ 31

Author(s):

Avner Friedman ◽

Bei Hu

Keyword(s):

Free Boundary ◽

Tumor Growth ◽

Boundary Problem ◽

Stokes Equation ◽

Free Boundary Problem ◽

Problem Modeling ◽

A Free Boundary Problem

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Asymptotic behavior of solutions of a free boundary problem modeling tumor spheroid with Gibbs–Thomson relation

Journal of Differential Equations ◽

10.1016/j.jde.2017.01.012 ◽

2017 ◽

Vol 262 (10) ◽

pp. 4907-4930 ◽

Cited By ~ 13

Author(s):

Junde Wu ◽

Fujun Zhou

Keyword(s):

Asymptotic Behavior ◽

Free Boundary ◽

Boundary Problem ◽

Free Boundary Problem ◽

Asymptotic Behavior Of Solutions ◽

Tumor Spheroid ◽

Problem Modeling ◽

A Free Boundary Problem

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