What does this research mean for the field?

Stochastic noise can induce changes in the bistable region of the lac operon system, including driving transitions between states based on lactose concentration. Novelty: ClaimNovelty.INCREMENTAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

To investigate how stochastic noise and multiple time delays influence the dynamical stability and bistable switching behavior of the lac operon system.

August 30, 2026Interface FocusOpen Access

Effect of stochasticity on the dynamics of a lac operon model with multiple delays

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Authors

AHAsma Ben HalimCenter for Solar Energy Research and Studies SSSergiy ShelyagFlinders University KBKrishna BusawonNorthumbria University

Discussion

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Implication

Mathematical modeling study demonstrates noise-induced state switching in a multi-delay lac operon system, highlighting how random molecular fluctuations reshape genetic switch stability.

Key Points

To investigate how stochastic noise and multiple time delays influence the dynamical stability and bistable switching behavior of the lac operon system.
Formulated a delayed mathematical differential equation model of the lac operon incorporating stochastic perturbations.
Derived analytical threshold conditions to determine exponential mean square stability.
Conducted numerical simulations evaluating bistable regime boundaries across varying noise intensities and lactose concentrations.
Established analytical threshold values that govern exponential mean square stability in the presence of multiple delays.
Demonstrated that stochastic perturbations directly alter the boundaries and structure of the bistable operating region.
Observed noise-induced switching and transition dynamics between distinct operational states as a function of lactose concentration.

Cite This Study

Halim et al. (2026) studied this question.

synapsesocial.com/papers/6a93f0696c1a8fb52e79c8b5 https://doi.org/10.1098/rsfs.2025.0072

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August 30, 2026Interface FocusOpen Access

Effect of stochasticity on the dynamics of a lac operon model with multiple delays

View Full Paper

Ask AI

Bookmark

Authors

AHAsma Ben HalimCenter for Solar Energy Research and Studies SSSergiy ShelyagFlinders University KBKrishna BusawonNorthumbria University

Discussion

Member takes

Implication

Mathematical modeling study demonstrates noise-induced state switching in a multi-delay lac operon system, highlighting how random molecular fluctuations reshape genetic switch stability.

Key Points

To investigate how stochastic noise and multiple time delays influence the dynamical stability and bistable switching behavior of the lac operon system.
Formulated a delayed mathematical differential equation model of the lac operon incorporating stochastic perturbations.
Derived analytical threshold conditions to determine exponential mean square stability.
Conducted numerical simulations evaluating bistable regime boundaries across varying noise intensities and lactose concentrations.
Established analytical threshold values that govern exponential mean square stability in the presence of multiple delays.
Demonstrated that stochastic perturbations directly alter the boundaries and structure of the bistable operating region.
Observed noise-induced switching and transition dynamics between distinct operational states as a function of lactose concentration.

Cite This Study

Halim et al. (2026) studied this question.

synapsesocial.com/papers/6a93f0696c1a8fb52e79c8b5 https://doi.org/10.1098/rsfs.2025.0072

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