Universality of stable multi-cluster periodic solutions in a population model of the cell cycle with negative feedback

DOI10.1080/17513758.2021.1971781zbMath1484.92026OpenAlexW3198459476MaRDI QIDQ5862014

Kiattisak Prathom, Todd R. Young

Publication date: 4 March 2022

Published in: Journal of Biological Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17513758.2021.1971781

zbMATH Keywords

phase synchronizationyeast metabolic oscillationstemporal clustering

Mathematics Subject Classification ID

Feedback control (93B52) Population dynamics (general) (92D25) Cell biology (92C37)

Cites Work

• On the zeros of convex combinations of polynomials
• Clustering in globally coupled inhibitory neurons
• Instability of the steady state solution in cell cycle population structure models with feedback
• Typical trajectories of coupled degrade-and-fire oscillators: from dispersed populations to massive clustering
• Clustering in cell cycle dynamics with general response/signaling feedback
• Cell cycle dynamics: clustering is universal in negative feedback systems
• Engineering Complex Dynamical Structures: Sequential Patterns and Desynchronization
• ODE, RDE and SDE models of cell cycle dynamics and clustering in yeast
• Clusters Tend to Be of Equal Size in a Negative Feedback Population Model of Cell Cycle Dynamics
• Tests for Hurwitz and Schur properties of convex combination of complex polynomials
• Instability of k-Cluster Solutions in a Cell Cycle Population Model when k is Prime
• Clustering behaviors in networks of integrate-and-fire oscillators

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