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08:13
Manipulation and Analysis of Cell Cycle-Dependent Processes in Budding Yeast
Published on: September 26, 2025
Clustering in cell cycle dynamics with general response/signaling feedback
Todd R Young1, Bastien Fernandez, Richard Buckalew
1Department of Mathematics, Ohio University, Athens, OH, USA. youngt@ohio.edu
Journal of Theoretical Biology
|October 18, 2011
Summary
Mathematical models of yeast cell populations reveal that cell-cycle dependent feedback robustly causes cell-cycle clustering. Negative feedback mechanisms are most consistent with experimental observations in yeast.
Area of Science:
- Mathematical biology
- Cellular dynamics
- Systems biology
Background:
- Autonomous oscillations are observed in yeast populations.
- Cell-cycle dependent feedback is a key mechanism influencing cellular behavior.
- Understanding population-level dynamics requires analyzing complex feedback systems.
Purpose of the Study:
- To analyze ordinary differential equations models of large yeast cell populations with cell-cycle dependent feedback.
- To investigate the dynamics and emergent behavior, specifically temporal clustering and stability of clustered solutions.
- To explore the differences between positive and negative feedback systems in cellular populations.
Main Methods:
- Analysis of ordinary differential equations models.
- Mathematical modeling of responsive/signaling (RS) feedback without specifying a functional form.
- Study of temporal clustering and stability of solutions.
Main Results:
- Established the existence of periodic clustered and uniform solutions.
- Demonstrated that cell-cycle dependent feedback robustly leads to cell-cycle clustering.
- Highlighted fundamental dynamic differences between negative and positive feedback systems.
Conclusions:
- Positive feedback systems rely on the stability of individual clusters.
- Negative feedback systems require cluster interaction for coherence.
- Mathematical analysis indicates negative feedback is most consistent with yeast experimental observations.
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