ArticleBiophysical journal2002
Control analysis for autonomously oscillating biochemical networks.
Article in Biophysical journal, 2002. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 14 papers.
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Who cites it
14 citing papers in PubMed.
- Glycolytic oscillations under periodic drivings.Journal of the Royal Society, Interface · 2024Article
- Potential oxidative stress related targets of mitochondria-focused therapy of PTSD.Frontiers in physiology · 2023Review
- Synchronisation of glycolytic activity in yeast cells.Current genetics · 2022Review
- Synthetic biology and regulatory networks: where metabolic systems biology meets control engineering.Journal of the Royal Society, Interface · 2016Review
- Exploring the genetic control of glycolytic oscillations in Saccharomyces cerevisiae.BMC systems biology · 2012Article
- Quantifying the contribution of the liver to glucose homeostasis: a detailed kinetic model of human hepatic glucose metabolism.PLoS computational biology · 2012Article
- Automated refinement and inference of analytical models for metabolic networks.Physical biology · 2011Article
- Quantifying the relative contributions of divisive and subtractive feedback to rhythm generation.PLoS computational biology · 2011Article
- Parameter sensitivity analysis in electrophysiological models using multivariable regression.Biophysical journal · 2009Article
- Systems biology towards life in silico: mathematics of the control of living cells.Journal of mathematical biology · 2009Article
- Equality of average and steady-state levels in some nonlinear models of biological oscillations.Theory in biosciences = Theorie in den Biowissenschaften · 2008Article
- Control over action potential, calcium peak and average fluxes in the cyclic quasi-steady-state ion transport system in cardiac myocytes: in silico studies.The Biochemical journal · 2007Article
- Mathematical modeling of intracellular signaling pathways.BMC neuroscience · 2006Review
- Complex metabolic oscillations in plants forced by harmonic irradiance.Biophysical journal · 2002Article
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Authors and funding
4 authors.
Funding
Abstract
It has hitherto not been possible to analyze the control of oscillatory dynamic cellular processes in other than qualitative ways. The control coefficients, used in metabolic control analyses of steady states, cannot be applied directly to dynamic systems. We here illustrate a way out of this limitation that uses Fourier transforms to convert the time domain into the stationary frequency domain, and then analyses the control of limit cycle oscillations. In addition to the already known summation theorems for frequency and amplitude, we reveal summation theorems that apply to the control of average value, waveform, and phase differences of the oscillations. The approach is made fully operational in an analysis of yeast glycolytic oscillations. It follows an experimental approach, sampling from the model output and using discrete Fourier transforms of this data set. It quantifies the control of various aspects of the oscillations by the external glucose concentration and by various internal molecular processes. We show that the control of various oscillatory properties is distributed over the system enzymes in ways that differ among those properties. The models that are described in this paper can be accessed on http://jjj.biochem.sun.ac.za.
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