Mathematical models of the early embryonic cell cycle: The role of MPF activation and cyclin degradation

DOI10.1007/BF00573462zbMath0823.92004OpenAlexW2077766632WikidataQ52385141 ScholiaQ52385141MaRDI QIDQ1336378

Betty K. P. Tang, Stavros N. Busenberg

Publication date: 31 October 1995

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00573462

zbMATH Keywords

Hopf bifurcationordinary differential equations modelcytoplasmmitosiscell division cycleeukaryotesbiochemical controlcdc2control of the early embryonic cell division cyclecyclin degradationfunctional differential equations modelgeneral reaction termsMPF activation

Mathematics Subject Classification ID

Biochemistry, molecular biology (92C40) Control problems involving ordinary differential equations (34H05) Control problems for functional-differential equations (34K35) Developmental biology, pattern formation (92C15)

Related Items (3)

Maximum profile likelihood estimation of differential equation parameters through model based smoothing state estimates ⋮ Optimal homotopy asymptotic method for solving delay differential equations ⋮ Mathematical analysis of the Tyson model of the regulation of the cell division cycle

Cites Work

• Unnamed Item
• Absolute stability in delay equations
• Snakes: oriented families of periodic orbits, their sources, sinks, and continuation
• Criterion of Hopf bifurcations without using eigenvalues
• Construction of differential equation approximations to delay differential equations
• Global Bifurcations of Periodic Orbits

This page was built for publication: Mathematical models of the early embryonic cell cycle: The role of MPF activation and cyclin degradation