Stochastic fluctuations in metabolic pathways
arXiv:0704.1667 · doi:10.1073/pnas.0610987104
Abstract
Fluctuations in the abundance of molecules in the living cell may affect its growth and well being. For regulatory molecules (e.g., signaling proteins or transcription factors), fluctuations in their expression can affect the levels of downstream targets in a network. Here, we develop an analytic framework to investigate the phenomenon of noise correlation in molecular networks. Specifically, we focus on the metabolic network, which is highly inter-linked, and noise properties may constrain its structure and function. Motivated by the analogy between the dynamics of a linear metabolic pathway and that of the exactly soluable linear queueing network or, alternatively, a mass transfer system, we derive a plethora of results concerning fluctuations in the abundance of intermediate metabolites in various common motifs of the metabolic network. For all but one case examined, we find the steady-state fluctuation in different nodes of the pathways to be effectively uncorrelated. Consequently, fluctuations in enzyme levels only affect local properties and do not propagate elsewhere into metabolic networks, and intermediate metabolites can be freely shared by different reactions. Our approach may be applicable to study metabolic networks with more complex topologies, or protein signaling networks which are governed by similar biochemical reactions. Possible implications for bioinformatic analysis of metabolimic data are discussed.
References in corpus (6)
- Nonequilibrium Statistical Mechanics of the Zero-Range Process and Related Models
- Stochastic gene expression as a many body problem
- Signal detection, modularity and the correlation between extrinsic and intrinsic noise in biochemical networks
- Zero-range process with open boundaries
- Factorised Steady States in Mass Transport Models
- Product Measure Steady States of Generalized Zero Range Processes
Cited by in corpus (20)
- Mutual information in time-varying biochemical systems
- Regulatory control and the costs and benefits of biochemical noise
- The effect of feedback on the fidelity of information transmission of time-varying signals
- Large deviations and dynamical phase transitions in stochastic chemical networks
- Dissipation in noisy chemical networks: The role of deficiency
- Kernel Architecture of the Genetic Circuitry of the Arabidopsis Circadian System
- What makes the lac-pathway switch: identifying the fluctuations that trigger phenotype switching in gene regulatory systems
- Attenuation of transcriptional bursting in mRNA transport
- How input fluctuations reshape the dynamics of a biological switching system
- Equilibrium-like behavior in far-from-equilibrium chemical reaction networks
- Reaction networks as systems for resource allocation: A variational principle for their non-equilibrium steady states
- Stochastic Control of Metabolic Pathways
- Fluctuations in Mass-Action Equilibrium of Protein Binding Networks
- Sensitivity Regulation based on Noise Propagation in Stochastic Reaction Networks
- Diffusion-dynamics laws in stochastic reaction networks
- Revisiting Kinetic Monte Carlo Algorithms for Time-dependent Processes: from open-loop control to feedback control
- Towards Kinetic Modeling of Global Metabolic Networks with Incomplete Experimental Input on Kinetic Parameters
- Tackling drug resistant infection outbreaks of global pandemic Escherichia coli ST131 using evolutionary and epidemiological genomics
- Variance-corrected Michaelis-Menten equation predicts transient rates of single-enzyme reactions and response times in bacterial gene-regulation
- Enlightening the blind spot of the Michaelis-Menten rate law: The role of relaxation dynamics in molecular complex formation