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Updated: Mar 1, 2026

Temporal Quantification of MAPK Induced Expression in Single Yeast Cells
Published on: October 4, 2013
Mathematical modeling reveals differential regulation of MAPK activity by phosphatase proteins in the yeast pheromone
Nathan Dyjack1, Cassandra Azeredo-Tseng, Necmettin Yildirim
1Division of Natural Sciences, New College of Florida, 5800 Bayshore Road, Sarasota, FL 34243, USA. nyildirim@ncf.edu.
Abstract:
To prevent indefinite cellular responses to external signals, cells utilize various adaptation mechanisms. The yeast mating-response pathway is a model cellular system that exhibits adaptation to persistent external signals. This pathway employs a mitogen-activated protein kinase (MAPK) cascade which is composed of two well-known negative feedback inhibitions that involve the yeast phosphatase proteins Ptp3 and Msg5. The phosphorylated form of the yeast MAPK protein Fus3 (pFus3) triggers the phosphorylation of both phosphatases, but transcriptionally upregulates only Msg5. To study the biological rationale for the existence of two distinct negative feedback inhibitions acting on pFus3, we used published experimental data to develop a mathematical model which quantifies the inhibitory roles of these phosphatase proteins on pFus3. Our analyses show that the inhibition of pFus3 due to Ptp3 is largely independent of the signal profile, and is most impactful at early time points after pheromone induction. Conversely, the feedback inhibition due to Msg5 is highly dependent on the signal profile, and is most influential after pFus3 attains its maximum cellular abundance. Similarly, Ptp3 reduces the variation in the pFus3 dynamics at early time points while the noise-reduction effects of Msg5 become stronger as time passes.
Insights
Cells adapt to signals using feedback mechanisms. Two yeast phosphatases, Ptp3 and Msg5, regulate the mitogen-activated protein kinase (MAPK) pathway, with Ptp3 acting early and Msg5 later, ensuring controlled cellular responses.
Area of Science:
- Cellular biology
- Systems biology
- Biochemistry
Background:
- Cells employ adaptation mechanisms to prevent indefinite responses to external signals.
- The yeast mating-response pathway serves as a model for studying adaptation to persistent signals.
- This pathway involves a mitogen-activated protein kinase (MAPK) cascade with two negative feedback inhibitions mediated by phosphatases Ptp3 and Msg5.
Purpose of the Study:
- To investigate the biological significance of two distinct negative feedback mechanisms acting on the phosphorylated MAPK protein Fus3 (pFus3).
- To mathematically model and quantify the inhibitory roles of Ptp3 and Msg5 on pFus3 dynamics using published experimental data.
Main Methods:
- Development of a mathematical model based on existing experimental data.
- Quantitative analysis of the inhibitory effects of Ptp3 and Msg5 on pFus3.
- Analysis of signal profile dependency and temporal impact of feedback inhibitions.
Main Results:
- Ptp3-mediated inhibition of pFus3 is largely signal-independent and most effective at early time points.
- Msg5-mediated inhibition of pFus3 is highly signal-dependent and influential after pFus3 reaches maximum abundance.
- Ptp3 reduces early pFus3 dynamics variation, while Msg5's noise-reduction effects increase over time.
Conclusions:
- Distinct temporal roles of Ptp3 and Msg5 contribute to the precise regulation of the yeast mating-response pathway.
- The dual feedback system ensures robust adaptation to external signals by modulating pFus3 activity at different stages.
- Mathematical modeling provides insights into the quantitative contributions of individual feedback components to cellular adaptation.
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