Change search
ReferencesLink to record
Permanent link

Direct link
Derivation of a reversible Hill equation with modifiers affecting catalytic properties
KTH, Superseded Departments, Numerical Analysis and Computer Science, NADA.
KTH, Superseded Departments, Numerical Analysis and Computer Science, NADA.ORCID iD: 0000-0002-0550-0739
KTH, Superseded Departments, Numerical Analysis and Computer Science, NADA.
2004 (English)In: WSEAS Transactions on Biology and Medicine, Vol. 1, 91-98 p.Article in journal (Refereed) Published
Abstract [en]

An existing generic enzyme rate equation, the reversible Hill equation, was generalized to account for modifiers affecting the catalytical properties of the enzyme as well as for the case of several substrates and products. The resulting generalized reversible Hill (GRH) equation has relatively few but operationally well-defined parameters. Its usefulness is demonstrated by fitting it to experimental data on mammalian muscle phosphofructokinase. The fit is superior to that of previous models to the same data. The rate equation derived is suitable for replacing more complicated rate equations when exact mechanisms are unknown and data is scarce or contradictory.

Place, publisher, year, edition, pages
2004. Vol. 1, 91-98 p.
Keyword [en]
Metabolic Modeling, Enzyme Kinetics, Reversible Hill Equation, Operationally Welldefined parameters, Phosphofructokinase
National Category
Computer and Information Science
URN: urn:nbn:se:kth:diva-6057OAI: diva2:10651
QC 20111110Available from: 2005-09-07 Created: 2005-09-07 Last updated: 2011-12-29Bibliographically approved
In thesis
1. Models of the metabolism of the pancreatic beta-cell
Open this publication in new window or tab >>Models of the metabolism of the pancreatic beta-cell
2005 (English)Doctoral thesis, comprehensive summary (Other scientific)
Abstract [en]

The pancreatic β-cell secretes insulin in response to a raised blood glucose level. Deficiencies in this control system are an important part of the etiology of diabetes. The biochemical basis of glucose-stimulated insulin secretion is incompletely understood, and a more complete understanding is an important component in the quest for better therapies against diabetes.

In this thesis, mathematical modeling has been employed in order to increase our understanding of the biochemical principles that underlie glucosestimulated insulin secretion of the pancreatic β-cell. The modeling efforts include the glycolysis in theβ-cell with particular emphasis on glycolytic oscillations. The latter have earlier been hypothesized to be the cause of normal pulsatile insulin secretion. This model puts this hypothesis into quantitative form and predicts that the enzymes glucokinase and aldolase play important roles in setting the glucose concentration threshold governing oscillations. Also presented is a model of the mitochondrial metabolism in the β-cell, and of the mitochondrial shuttles that connect the mitochondrial metabolism to the glycolysis. This model gives sound explanations to what was earlier thought to be paradoxical behavior of the mitochondrial shuttles during certain conditions. Moreover, it predicts a strong signal from glucose towards cytosolic NADPH formation, a putative stimulant of insulin secretion. The model also identifies problems with earlier interpretations of experimental results regarding the β- cell mitochondrial metabolism. As an aside, an earlier proposed conceptual model of the generation of oscillations in the TCA cycle is critically analyzed.

Further, metabolic control analysis has been employed in order to obtain mathematical expressions that describe the control by pyruvate dehydrogenase and fatty acid oxidation over different aspects of the mitochondrial metabolism and the mitochondrial shuttles. The theories developed explain recently observed behavior of these systems and provide readily testable predictions.

The methodological aspects of the work presented in the thesis include the development of a new generic enzyme rate equation, the generalized reversible Hill equation, as well as a reversible version of the classical general modifier mechanism of enzyme action.

Trita-NA, ISSN 0348-2952 ; 0527
Computer science
National Category
Computer Science
urn:nbn:se:kth:diva-408 (URN)91-7178-140-0 (ISBN)
Public defence
2005-09-23, D2, KTH huvudbyggnad, Lindstedtsv. 5, Stockholm, 12:15
Available from: 2005-09-07 Created: 2005-09-07 Last updated: 2012-03-22

Open Access in DiVA

No full text

Other links


Search in DiVA

By author/editor
Westermark, PålHällgren Kotaleski, JeanetteLansner, Anders
By organisation
Numerical Analysis and Computer Science, NADA
Computer and Information Science

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 236 hits
ReferencesLink to record
Permanent link

Direct link