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Literature DB >> 20052474

Goldbeter-Koshland model for open signaling cascades: a mathematical study.

Abstract

A modified Goldbeter-Koshland (GK) type model is proposed to study the open signaling cascade with forward activation. Three different regimes related to the ultrasensitivity are clearly defined. When the cascade is sufficiently long, the steady states in the downstream cycles exhibit a limiting behavior. Meanwhile, a temporal switch-like behavior is revealed in the pre-ultrasensitivity regime without any feedback circuitry. A detailed analysis of this phenomenon is provided.

Mesh：

Year: 2010 PMID： 20052474 DOI： 10.1007/s00285-009-0322-3

Source DB: PubMed Journal: J Math Biol ISSN： 0303-6812 Impact factor: 2.259

20 in total

1. Kinetic models of phosphorylation cycles: a systematic approach using the rapid-equilibrium approximation for protein-protein interactions.

Authors: Carlos Salazar; Thomas Höfer
Journal: Biosystems Date: 2005-10-17 Impact factor: 1.973

2. Mathematical and computational analysis of adaptation via feedback inhibition in signal transduction pathways.

Authors: Marcelo Behar; Nan Hao; Henrik G Dohlman; Timothy C Elston
Journal: Biophys J Date: 2007-05-18 Impact factor: 4.033

Review 3. Cell-signalling dynamics in time and space.

Authors: Boris N Kholodenko
Journal: Nat Rev Mol Cell Biol Date: 2006-03 Impact factor: 94.444

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Authors: A Goldbeter
Journal: Proc Natl Acad Sci U S A Date: 1991-10-15 Impact factor: 11.205

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Authors: M Okamoto; Y Takeda; Y Aso; K Hayashi
Journal: Biotechnol Bioeng Date: 1983-06 Impact factor: 4.530

6. The sequential inactivation of glycogen phosphorylase and activation of glycogen synthetase in liver after the administration of glucose to mice and rats. The mechanism of the hepatic threshold to glucose.

Authors: W Stalmans; H De Wulf; L Hue; H G Hers
Journal: Eur J Biochem Date: 1974-01-03

7. An amplified sensitivity arising from covalent modification in biological systems.

Authors: A Goldbeter; D E Koshland
Journal: Proc Natl Acad Sci U S A Date: 1981-11 Impact factor: 11.205

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Authors: C Y Huang; J E Ferrell
Journal: Proc Natl Acad Sci U S A Date: 1996-09-17 Impact factor: 11.205

9. The effects of cascade length, kinetics and feedback loops on biological signal transduction dynamics in a simplified cascade model.

Authors: Zhilin Qu; Thomas M Vondriska
Journal: Phys Biol Date: 2009-02-25 Impact factor: 2.583

Goldbeter-Koshland model for open signaling cascades: a mathematical study.

1. Kinetic models of phosphorylation cycles: a systematic approach using the rapid-equilibrium approximation for protein-protein interactions.

2. Mathematical and computational analysis of adaptation via feedback inhibition in signal transduction pathways.

Review 3. Cell-signalling dynamics in time and space.

4. A minimal cascade model for the mitotic oscillator involving cyclin and cdc2 kinase.

5. Steady-state approximation of enzyme activation and inhibition.

6. The sequential inactivation of glycogen phosphorylase and activation of glycogen synthetase in liver after the administration of glucose to mice and rats. The mechanism of the hepatic threshold to glucose.

7. An amplified sensitivity arising from covalent modification in biological systems.

8. Ultrasensitivity in the mitogen-activated protein kinase cascade.

9. The effects of cascade length, kinetics and feedback loops on biological signal transduction dynamics in a simplified cascade model.

10. A hidden feedback in signaling cascades is revealed.

1. A generic model for open signaling cascades with forward activation.

2. Dynamics and stability of a three-dimensional model of cell signal transduction.

3. Open cascades as simple solutions to providing ultrasensitivity and adaptation in cellular signaling.

4. Linear models of activation cascades: analytical solutions and coarse-graining of delayed signal transduction.