title: Nonlinear growth kinetics of breast cancer stem cells: implications for cancer stem cell targeted therapy.
abstract: Cancer stem cells (CSCs) have been identified in primary breast cancer tissues and cell lines. The CSC population varies widely among cancerous tissues and cell lines, and is often associated with aggressive breast cancers. Despite of intensive research, how the CSC population is regulated within a tumor is still not well understood so far. In this paper, we present a mathematical model to explore the growth kinetics of CSC population both in vitro and in vivo. Our mathematical models and supporting experiments suggest that there exist non-linear growth kinetics of CSCs and negative feedback mechanisms to control the balance between the population of CSCs and that of non-stem cancer cells. The model predictions can help us explain a few long-standing questions in the field of cancer stem cell research, and can be potentially used to predict the efficicacy of anti-cancer therapy.
authors: Department of Mathematics, University of South Carolina, Columbia, SC. 29208.
authors: Xinfeng
authors: X
authors: Liu
authors: Sara
authors: S
authors: Johnson
authors: Shou
authors: S
authors: Liu
authors: Deepak
authors: D
authors: Kanojia
authors: Wei
authors: W
authors: Yue
authors: Udai P
authors: UP
authors: Singh
authors: Udai
authors: U
authors: Singn
authors: Qian
authors: Q
authors: Wang
authors: Qi
authors: Q
authors: Wang
authors: Qing
authors: Q
authors: Nie
authors: Hexin
authors: H
authors: Chen
mesh_terms: D000970:Antineoplastic Agents / Q000008:administration & dosage; D017209:Apoptosis / Q000187:drug effects; D001943:Breast Neoplasms / Q000188:drug therapy / Q000473:pathology* / Q000503:physiopathology*; D002450:Cell Communication / Q000187:drug effects / Q000502:physiology*; D049109:Cell Proliferation / Q000187:drug effects; D003198:Computer Simulation; D016503:Drug Delivery Systems / Q000379:methods; D008954:Models, Biological; D014411:Neoplastic Stem Cells / Q000187:drug effects / Q000473:pathology* / Q000502:physiology*; D017711:Nonlinear Dynamics
chemical_list: D000970:Antineoplastic Agents
references: Cell. 2008 May 16;133(4):704-15
references: 18485877
references: Cell. 2007 Dec 14;131(6):1109-23
references: 18083101
references: Breast Dis. 2008;29:27-36
references: 19029622
references: Proc Natl Acad Sci U S A. 2011 Jun 28;108(26):10544-9
references: 21670270
references: Clin Cancer Res. 2009 Mar 15;15(6):2010-21
references: 19276287
references: Cancer Res. 2006 Oct 1;66(19):9339-44
references: 16990346
references: Nat Genet. 2008 May;40(5):499-507
references: 18443585
references: Cell. 2011 Aug 19;146(4):633-44
references: 21854987
references: Annu Rev Cell Dev Biol. 2007;23:675-99
references: 17645413
references: Proc Natl Acad Sci U S A. 2007 Mar 6;104(10):4008-13
references: 17360468
references: Int J Cancer. 2008 Jan 15;122(2):298-304
references: 17935134
references: Nature. 2006 Dec 7;444(7120):756-60
references: 17051156
references: Cancer Res. 2009 Dec 15;69(24):9481-9
references: 19996291
references: Proc Natl Acad Sci U S A. 2011 Nov 22;108(47):18983-8
references: 22084071
references: Cancer Res. 1988 Dec 15;48(24 Pt 1):7067-71
references: 3191483
references: J Mammary Gland Biol Neoplasia. 2005 Jan;10(1):75-86
references: 15886888
references: J Natl Cancer Inst. 1983 Jan;70(1):9-16
references: 6571928
references: Lab Invest. 2006 Dec;86(12):1203-7
references: 17075578
references: J Natl Cancer Inst. 2007 Oct 3;99(19):1435-40
references: 17895479
references: Proteomics. 2010 Nov;10(21):3800-10
references: 20960451
references: Cell. 2009 Nov 13;139(4):693-706
references: 19878981
references: J Natl Cancer Inst. 2008 May 7;100(9):672-9
references: 18445819
references: Cancer Treat Rep. 1983 Jul-Aug;67(7-8):659-63
references: 6871882
references: Theor Biol Med Model. 2011 Dec 30;8:48
references: 22208390
references: J Theor Biol. 2011 Jan 21;269(1):138-49
references: 20969880
references: Proc Natl Acad Sci U S A. 2003 Apr 1;100(7):3983-8
references: 12629218
references: Oncologist. 2005 Jun-Jul;10(6):370-81
references: 15967831
references: Annu Rev Med. 2007;58:267-84
references: 17002552
references: Nature. 2007 Jan 4;445(7123):111-5
references: 17122771
references: Eur J Cancer Clin Oncol. 1985 Jul;21(7):833-43
references: 4043171
references: Breast Cancer Res Treat. 1992;24(2):85-95
references: 8095168
references: Proc Natl Acad Sci U S A. 2011 Jan 25;108(4):1397-402
references: 21220315
references: PLoS Biol. 2009 Jan 20;7(1):e15
references: 19166268
references: Br J Cancer. 1973 Aug;28(2):123-35
references: 4730176
references: Math Biosci Eng. 2009 Jan;6(1):59-82
references: 19292508
references: Cancer Cell. 2007 Mar;11(3):259-73
references: 17349583
references: Clin Pharmacol Ther. 2007 Jun;81(6):893-8
references: 17460605
references: Cell. 2011 Jun 10;145(6):926-40
references: 21663795
references: Curr Opin Biotechnol. 2007 Oct;18(5):460-6
references: 18023337
references: Nat Rev Cancer. 2008 Oct;8(10):755-68
references: 18784658
references: PLoS One. 2011 Jan 05;6(1):e15844
references: 21246056
references: Nature. 1976 Dec 9;264(5586):542-5
references: 1004590
references: Cell. 2010 Jan 8;140(1):62-73
references: 20074520
references: Cell. 2009 Sep 18;138(6):1083-95
references: 19766563
references: Br J Cancer. 1977 Nov;36(5):618-24
references: 588423
references: Stem Cells. 2010 Apr;28(4):649-60
references: 20178109
references: Nature. 2007 Jan 4;445(7123):106-10
references: 17122772
references: Genes Dev. 2003 May 15;17(10):1253-70
references: 12756227
references: Oncogene. 2008 Oct 16;27(47):6120-30
references: 18591932