Bifurcation for a Free Boundary Problem Modeling Tumor Growth by Stokes Equation

Avner Friedman; Bei Hu

doi:10.1137/060656292

Bifurcation for a Free Boundary Problem Modeling Tumor Growth by Stokes Equation

SIAM Journal on Mathematical Analysis ◽

10.1137/060656292 ◽

2007 ◽

Vol 39 (1) ◽

pp. 174-194 ◽

Cited By ~ 43

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

Download Full-text

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

Download Full-text

Symmetry‐breaking bifurcations of a free boundary problem modeling tumor growth with angiogenesis by Stokes equation

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7008 ◽

2020 ◽

Author(s):

Huijuan Song ◽

Zejia Wang ◽

Baihui Hu

Keyword(s):

Free Boundary ◽

Symmetry Breaking ◽

Tumor Growth ◽

Boundary Problem ◽

Stokes Equation ◽

Free Boundary Problem ◽

Problem Modeling ◽

A Free Boundary Problem

Download Full-text

Regularity of solutions to a free boundary problem modeling tumor growth by Stokes equation

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2010.11.028 ◽

2011 ◽

Vol 377 (2) ◽

pp. 540-556 ◽

Cited By ~ 2

Author(s):

Fujun Zhou ◽

Junde Wu

Keyword(s):

Free Boundary ◽

Tumor Growth ◽

Boundary Problem ◽

Stokes Equation ◽

Free Boundary Problem ◽

Regularity Of Solutions ◽

Problem Modeling ◽

A Free Boundary Problem

Download Full-text

Computing steady-state solutions for a free boundary problem modeling tumor growth by Stokes equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2012.06.001 ◽

2013 ◽

Vol 237 (1) ◽

pp. 326-334 ◽

Cited By ~ 19

Author(s):

Wenrui Hao ◽

Jonathan D. Hauenstein ◽

Bei Hu ◽

Timothy McCoy ◽

Andrew J. Sommese

Keyword(s):

Steady State ◽

Free Boundary ◽

Tumor Growth ◽

Boundary Problem ◽

Stokes Equation ◽

Free Boundary Problem ◽

Problem Modeling ◽

A Free Boundary Problem ◽

Steady State Solutions

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

A free boundary problem modeling tumor growth with different chemotactic responses and random motions for various cell types

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2012.09.013 ◽

2013 ◽

Vol 398 (2) ◽

pp. 534-541 ◽

Cited By ~ 1

Author(s):

Na Zhang ◽

Youshan Tao

Keyword(s):

Free Boundary ◽

Tumor Growth ◽

Boundary Problem ◽

Free Boundary Problem ◽

Cell Types ◽

Problem Modeling ◽

Random Motions ◽

A Free Boundary Problem

Download Full-text

Bifurcation for a free boundary problem modeling tumor growth with inhibitors

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2014.03.001 ◽

2014 ◽

Vol 19 ◽

pp. 45-53 ◽

Cited By ~ 7

Author(s):

Zejia Wang

Keyword(s):

Free Boundary ◽

Tumor Growth ◽

Boundary Problem ◽

Free Boundary Problem ◽

Problem Modeling ◽

A Free Boundary Problem

Download Full-text

Boundary element method for a free boundary problem modeling three dimensional tumor growth

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.02.003 ◽

2017 ◽

Vol 73 (7) ◽

pp. 1627-1641 ◽

Cited By ~ 2

Author(s):

Yarong Zhang ◽

Yinnian He ◽

Hongbin Chen

Keyword(s):

Boundary Element Method ◽

Free Boundary ◽

Tumor Growth ◽

Boundary Problem ◽

Boundary Element ◽

Free Boundary Problem ◽

Three Dimensional ◽

Problem Modeling ◽

A Free Boundary Problem ◽

Element Method

Download Full-text