Stochastic models of gene expression with delayed degradation

DOI10.1007/s11538-010-9622-4zbMath1225.92018OpenAlexW1985022279WikidataQ51617015 ScholiaQ51617015MaRDI QIDQ644495

Marek Bodnar, Jan Poleszczuk, Urszula Fory's, Jacek Miekisz

Publication date: 4 November 2011

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11538-010-9622-4

zbMATH Keywords

noisetime delaystochastic delay equationssystems biologyprotein degradation

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Special processes (60K99) Applications of stochastic analysis (to PDEs, etc.) (60H30)

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Cites Work

• Unnamed Item
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• Delay differential equations: with applications in population dynamics
• Stochastic and delayed stochastic models of gene expression and regulation
• Stochastic delay differential equations for genetic regulatory networks
• A delay stochastic process with applications in molecular biology
• The nonnegativity of solutions to delay differential equations
• Stochastic differential delay equations of population dynamics
• Stochastic Differential Delay Equation, Moment Stability, and Application to Hematopoietic Stem Cell Regulation System
• Langevins stochastic differential equation extended by a time-delayed term
• MODELING THE NONLINEAR DYNAMICS OF CELLULAR SIGNAL TRANSDUCTION
• Modelling transcriptional feedback loops: the role of Gro/TLE1 in Hes1 oscillations
• Applied Delay Differential Equations
• BIOLOGICAL DELAY SYSTEMS AND THE MIKHAILOV CRITERION OF STABILITY

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