Analysis of two-component signal transduction by mathematical modeling using 
the KdpD/KdpE system of Escherichia coli

Kremling, A.; Heermann, R.; Centler, F.; Jung, K.; Gilles, E. D.

doi:10.1016/j.biosystems.2004.06.003

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Analysis of two-component signal transduction by mathematical modeling using the KdpD/KdpE system of Escherichia coli

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Kremling, A.
Systems Biology, Max Planck Institute for Dynamics of Complex Technical Systems, Max Planck Society;

Heermann, R.
Systems Biology, Max Planck Institute for Dynamics of Complex Technical Systems, Max Planck Society;

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Gilles, E. D.
Systems Biology, Max Planck Institute for Dynamics of Complex Technical Systems, Max Planck Society;

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Citation

Kremling, A., Heermann, R., Centler, F., Jung, K., & Gilles, E. D. (2004). Analysis of two-component signal transduction by mathematical modeling using the KdpD/KdpE system of Escherichia coli. Biosystems, 78(1-3), 23-37. doi:10.1016/j.biosystems.2004.06.003.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-9E77-A

Abstract

A mathematical model for the KdpD/KdpE two-component system is presented and its dynamical behavior is analyzed. KdpD and KdpE regulate expression of the kdpFABC operon encoding the high affinity K+ uptake system KdpFABC of E. coli. The model is validated in a two step procedure: (i) the elements of the signal transduction part are reconstructed in vitro. Experiments with the purified sensor kinase and response regulator in presence or absenceof DNA fragments comprising the response regulator binding-site are performed. (ii) The mRNA and molecule number of KdpFABC are determined in vivo at various extracellular K+ concentrations. Based on the identified parameters for the in vitro system it is shown, that different time hierarchies appear which are used for model reduction. Then the model is transformed in such a way that a singular perturbation problem is formulated. The analysis of the in vivo system shows that the modelcan be separated into two parts (submodels which are called functional units) that are connected only in a unidirectional way. Hereby one submodel represents signal transduction while the second submodel describes the response regulator-DNA binding. Copyright © 2004 Elsevier Ireland Ltd. All rights reserved. [accesed 2015 July 8]