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Updated: Jun 23, 2026

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Published on: December 12, 2019
Molecular noise modulates transitions in the cell-fate differentiation landscape
Yujing Liu1, Adriana Zanca1,2, Michael P H Stumpf3,4,5
1School of Mathematics and Statistics, The University of Melbourne, Parkville, VIC, Australia.
Molecular noise significantly alters biological system transition paths, diverging from deterministic models. Stochastic dynamics reveal novel reaction pathways not predicted by traditional least-action principles.
Area of Science:
- Systems biology
- Theoretical biology
- Computational biology
Background:
- Waddington's epigenetic landscape is a key metaphor for cell-type determination.
- Molecular noise can reshape epigenetic landscapes.
- The impact of noise on transitions between landscape valleys remains unclear.
Purpose of the Study:
- To investigate how noise affects transition paths in dynamic epigenetic landscapes.
- To compare stochastic transition paths with deterministic least-action paths.
Main Methods:
- Analysis of illustrative exemplars of non-equilibrium systems.
- Dissection of system dynamics under stochastic conditions.
- Calculation of reactive density and transition currents.
Main Results:
- Noise generates transition paths that substantially differ from deterministic least-action paths.
- Stochastic dynamics lead to non-trivial divergence from simple barrier crossing models.
- Reactive density and transition currents reveal specific locations and mechanisms of stochastic transitions.
Conclusions:
- Noise profoundly alters transition paths in epigenetic landscapes.
- Deterministic models are insufficient for accurately describing stochastic transitions.
- Understanding noise-driven dynamics is crucial for cell fate and developmental biology.
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