Hybrid models of genetic networks: mathematical challenges and biological relevance
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Publication:1712837
DOI10.1016/j.jtbi.2018.09.014zbMath1406.92241OpenAlexW2892136592WikidataQ91508673 ScholiaQ91508673MaRDI QIDQ1712837
Publication date: 1 February 2019
Published in: Journal of Theoretical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jtbi.2018.09.014
nonlinear dynamicsdelay equationssynthetic biologygenetic networksbiochemical kineticslogical networks
Biochemistry, molecular biology (92C40) Genetics and epigenetics (92D10) Systems biology, networks (92C42)
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Cites Work
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- Multistability and oscillations in genetic control of metabolism
- Filippov solutions in the analysis of piecewise linear models describing gene regulatory networks
- Dynamics of actively regulated gene networks
- A modelling framework for gene regulatory networks including transcription and translation
- Boolean delay equations: A simple way of looking at complex systems
- Boolean delay equations. II: Periodic and aperiodic solutions
- Stable oscillations in mathematical models of biological control systems
- The regulatory role of shikimate in plant phenylalanine metabolism
- Reduction and stability analysis of a transcription-translation model of RNA polymerase
- Effect of model selection on prediction of periodic behavior in gene regulatory networks
- Analysis and generic properties of gene regulatory networks with graded response functions
- Chaos in high-dimensional neural and gene networks
- The topology of the regulatory interactions predicts the expression pattern of the segment polarity genes in \textit{Drosophila melanogaster}
- Inferring models of gene expression dynamics
- Structural principles for periodic orbits in Glass networks
- Dynamics of transcription-translation networks
- Geometric properties of a class of piecewise affine biological network models
- Explicit construction of chaotic attractors in Glass networks
- Periodicity in piecewise-linear switching networks with delay
- Chaotic dynamics in an electronic model of a genetic network
- A combinatorial analogue of the Poincaré index theorem
- Chaos in neural and gene networks with hard switching
- Combinatorial explosion in model gene networks
- Multistationarity, the basis of cell differentiation and memory. II. Logical analysis of regulatory networks in terms of feedback circuits
- Introduction to Focus Issue: Quantitative Approaches to Genetic Networks
- Periodic solutions of gene networks with steep sigmoidal regulatory functions
- Singular Dynamics in Gene Network Models
- Dynamics at a Switching Intersection: Hierarchy, Isonomy, and Multiple Sliding
- Robust dynamics in minimal hybrid models of genetic networks
- STRUCTURAL PRINCIPLES FOR COMPLEX DYNAMICS IN GLASS NETWORKS
- Boolean Difference Equations, I: Formulation and Dynamic Behavior
- Chaotic dynamics in a class of three dimensional Glass networks
- A class of piecewise linear differential equations arising in biological models
- Chaotic dynamics and diffusion in a piecewise linear equation
- Periodic solutions in systems of piecewise- linear differential equations
- AN ATLAS OF ROBUST, STABLE, HIGH-DIMENSIONAL LIMIT CYCLES
- BIFURCATIONS IN GLASS NETWORKS
- Combinatorial Representation of Parameter Space for Switching Networks
- Analysis of continuous-time switching networks
