Dynamical Systems in Cell Division Cycle, Winnerless Competition Models, and Tensor Approximations

摘要: . 3 Dedication 5 Acknowledgments 6 List of Tables 9 Figures 10 Acronyms 13 1 Application Dynamical Systems 14 2 Cell Cycle Coupling Models 16 2.1 Background 2.2 Responsive/signaling system with a gap 20 2.2.1 Dynamics clusters via return maps 21 2.2.2 for k = 25 2.2.3 M + cyclic solutions 31 2.3 Noise-induced dispersion and breakup 2-cluster stable 38 2.3.1 Perturbed models numerical integration 39 2.3.2 Statistical measures 44 2.3.3 Numerical simulation results 50 2.3.4 Yeast cultures have large coupling strengths 56 2.4 Conclusions 58 Feasibility Heteroclinic Routes 60 3.