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Related Experiment Video

Updated: May 28, 2026

Manipulation and Analysis of Cell Cycle-Dependent Processes in Budding Yeast

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

This summary is machine-generated.

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.

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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.