Theoretical and Experimental Evidence for Hysteresis in Cell Proliferation

被引:11
作者
Bai, Shaochun [1 ]
Goodrich, David [1 ]
Thron, C. Dennis
Tecarro, Edwin [2 ]
Obeyesekere, Mandri [3 ]
机构
[1] Roswell Pk Canc Inst, Dept Pharmacol & Therapeut, Buffalo, NY 14263 USA
[2] Univ St Thomas, Dept Math, Houston, TX 77006 USA
[3] Univ Texas MD Anderson Canc Ctr, Dept Biomath, 1515 Holcomb Blvd, Houston, TX 77030 USA
关键词
Cell cycle; G(1) phase; Mathematical model; Cyclins; Retinoblastoma; E2; Hysteresis;
D O I
10.4161/cc.2.1.186
中图分类号
Q2 [细胞生物学];
学科分类号
071009 ; 090102 ;
摘要
We propose a mathematical model for the regulation of the G1-phase of the mammalian cell cycle taking into account interactions of cyclin D/cdk4, cyclin E/cdk2, Rb and E2F. Mathematical analysis of this model predicts that a change in the proliferative status in response to a change in concentrations of serum growth factors will exhibit the property of hysteresis: the concentration of growth factors required to induce proliferation is higher than the concentration required to maintain proliferation. We experimentally confirmed this prediction in mouse embryonic fibroblasts in vitro. In agreement with the mathematical model, this indicates that changes in proliferative mode caused by small changes in concentrations of growth factors are not easily reversible. Based on this study, we discuss the importance of proliferation hysteresis for cell cycle regulation.
引用
收藏
页码:46 / 52
页数:7
相关论文
共 43 条
[1]   A quantitative analysis of the kinetics of the G2 DNA damage checkpoint system [J].
Aguda, BD .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1999, 96 (20) :11352-11357
[2]   Generation of oscillations by the p53-Mdm2 feedback loop: A theoretical and experimental study [J].
Bar-Or, RL ;
Maya, R ;
Segel, LA ;
Alon, U ;
Levine, AJ ;
Oren, M .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2000, 97 (21) :11250-11255
[3]  
Blomberg I, 1999, MOL CELL BIOL, V19, P6183
[4]   Regulation of E2F through ubiquitin-proteasome-dependent degradation: Stabilization by the pRB tumor suppressor protein [J].
Campanero, MR ;
Flemington, EK .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1997, 94 (06) :2221-2226
[5]   Kinetic analysis of a molecular model of the budding yeast cell cycle [J].
Chen, KC ;
Csikasz-Nagy, A ;
Gyorffy, B ;
Val, J ;
Novak, B ;
Tyson, JJ .
MOLECULAR BIOLOGY OF THE CELL, 2000, 11 (01) :369-391
[6]   Cyclin D1/Cdk4 regulates retinoblastoma protein-mediated cell cycle arrest by site-specific phosphorylation [J].
ConnellCrowley, L ;
Harper, JW ;
Goodrich, DW .
MOLECULAR BIOLOGY OF THE CELL, 1997, 8 (02) :287-301
[7]   Testing a mathematical model of the yeast cell cycle [J].
Cross, FR ;
Archambault, V ;
Miller, M ;
Klovstad, M .
MOLECULAR BIOLOGY OF THE CELL, 2002, 13 (01) :52-70
[8]   The Drosophila cyclin D-cdk4 complex promotes cellular growth [J].
Datar, SA ;
Jacobs, HW ;
de la Cruz, AFA ;
Lehner, CF ;
Edgar, BA .
EMBO JOURNAL, 2000, 19 (17) :4543-4554
[9]  
DEGREGORI J, 1995, MOL CELL BIOL, V15, P4215
[10]  
Doedel EJ., 1997, AUTO 97: continuation and bifurcation software for ordinary differential equations