A product-of-logistics translation converts Boolean GRN rules into continuous models that recover Boolean steady states as exponentially stable equilibria for sufficiently steep responses.
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4 Pith papers cite this work. Polarity classification is still indexing.
4
Pith papers citing it
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math.DS 4years
2026 4verdicts
UNVERDICTED 4representative citing papers
Introduces logistic-based GRN control with explicit feedforward-proportional laws, quadratic Lyapunov certificates for global exponential stability, monostabilization budgets, and delay-uniform stability theorems.
Introduces bcw single-sigmoid model for GRNs that recovers product-of-logistics critical value 1/2^{m_i} and shared equilibrium, with Jacobian and stability comparisons.
Logistic reformulations of delay-coupled gene regulatory networks are globally smooth and positive at zero, with matched parameters, unique equilibria, Hopf bifurcation at critical delays, and substantially smaller Lipschitz constants than Hill-based versions.
citing papers explorer
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Logistic Gene Regulatory Networks: A Modelling Framework Beyond Hill Functions
A product-of-logistics translation converts Boolean GRN rules into continuous models that recover Boolean steady states as exponentially stable equilibria for sufficiently steep responses.
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State-Feedback Control of Logistic-Based Gene Regulatory Networks: Closed-Form Lyapunov Certificates, Monostabilization, and Delay-Uniform Stability
Introduces logistic-based GRN control with explicit feedforward-proportional laws, quadratic Lyapunov certificates for global exponential stability, monostabilization budgets, and delay-uniform stability theorems.
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A Bias-Corrected Weighted Logistic Model for Gene Regulatory Networks: Functional Equivalence with the Product-of-Logistics and Comparison with Weighted-Sum Formulations
Introduces bcw single-sigmoid model for GRNs that recovers product-of-logistics critical value 1/2^{m_i} and shared equilibrium, with Jacobian and stability comparisons.
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Beyond Linear Additive and Hill Functions: A General Logistic Reformulation of Delay-Coupled Gene Regulatory Networks with Equilibrium Analysis, Hopf Bifurcation, and Lipschitz Stability
Logistic reformulations of delay-coupled gene regulatory networks are globally smooth and positive at zero, with matched parameters, unique equilibria, Hopf bifurcation at critical delays, and substantially smaller Lipschitz constants than Hill-based versions.