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An explicit formulation approach for the analysis of calcium binding to EF-hand proteins using isothermal titration calorimetry.

ABSTRACT: We present an improved and extended version of a recently proposed mathematical approach for modeling isotherms of ligand-to-macromolecule binding from isothermal titration calorimetry. Our approach uses ordinary differential equations, solved implicitly and numerically as initial value problems, to provide a quantitative description of the fraction bound of each competing member of a complex mixture of macromolecules from the basis of general binding polynomials. This approach greatly simplifies the formulation of complex binding models. In addition to our generalized, model-free approach, we have introduced a mathematical treatment for the case where ligand is present before the onset of the titration, essential for data analysis when complete removal of the binding partner may disrupt the structural and functional characteristics of the macromolecule. Demonstration programs playable on a freely available software platform are provided. Our method is experimentally validated with classic calcium (Ca(2+)) ion-selective potentiometry and isotherms of Ca(2+) binding to a mixture of chelators with and without residual ligand present in the reaction vessel. Finally, we simulate and compare experimental data fits for the binding isotherms of Ca(2+) binding to its canonical binding site (EF-hand domain) of polycystin 2, a Ca(2+)-dependent channel with relevance to polycystic kidney disease.

SUBMITTER: Keeler C

PROVIDER: S-EPMC3882476 | biostudies-literature | 2013 Dec

REPOSITORIES: biostudies-literature

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An explicit formulation approach for the analysis of calcium binding to EF-hand proteins using isothermal titration calorimetry.

Keeler Camille C Poon Gregory G Kuo Ivana Y IY Ehrlich Barbara E BE Hodsdon Michael E ME

Biophysical journal 20131201 12

We present an improved and extended version of a recently proposed mathematical approach for modeling isotherms of ligand-to-macromolecule binding from isothermal titration calorimetry. Our approach uses ordinary differential equations, solved implicitly and numerically as initial value problems, to provide a quantitative description of the fraction bound of each competing member of a complex mixture of macromolecules from the basis of general binding polynomials. This approach greatly simplifie ...[more]

PMID: 24359756

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Project description:The EF hand, a helix-loop-helix structure, is one of the most common motifs found in animal genomes, and EF-hand Ca(2+)-binding proteins (EFCaBPs) are widely distributed throughout the cell. However, researchers remain confounded by a lack of understanding of how peptide sequences code for specific functions and by uncertainty about the molecular mechanisms that enable EFCaBPs to distinguish among many diverse cellular targets. Such knowledge could define the roles of EFCaBPs in health and disease and ultimately enable control or even design of Ca(2+)-dependent functions in medicine and biotechnology. In this Account, we describe our structural and biochemical research designed to understand the sequence-to-function relationship in EFCaBPs. The first structural goal was to define conformational changes induced by binding Ca(2+), and our group and others established that solution NMR spectroscopy is well suited for this task. We pinpointed residues critical to the differences in Ca(2+) response of calbindin D(9k) and calmodulin (CaM), homologous EFCaBPs from different functional classes, by using direct structure determination with site-directed mutagenesis and protein engineering. Structure combined with biochemistry provided the foundation for identifying the fundamental mechanism of cooperativity in the binding of Ca(2+) ions: this cooperativity provides EFCaBPs with the ability to detect the relatively small changes in concentration that constitute Ca(2+) signals. Using calbindin D(9k) as a model system, studies of the structure and fast time scale dynamics of each of the four ion binding states in a typical EF-hand domain provided direct evidence that site-site communication lowers the free energy cost of reorganization for binding the second ion. Our work has also extended models of how EFCaBPs interact with their cellular targets. We determined the unique dimeric architecture of S100 proteins, a specialized subfamily of EFCaBPs found exclusively in vertebrates. We described the implications for how these proteins transduce signals and went on to characterize interactions with peptide fragments of important cellular targets. Studies of the CaM homolog centrin revealed novel characteristics of its binding of Ca(2+) and its interaction with its cellular target Kar1. These results provided clear examples of how subtle differences in sequence fine-tune EFCaBPs to interact with their specific targets. The structural approach stands at a critical crossroad, shifting in emphasis from descriptive structural biochemistry to integrated biology and medicine. We present our dual-molecular-switch model for Ca(2+) regulation of gating functions of voltage-gated sodium channels in which both CaM and an intrinsic EF-hand domain serve as coupled Ca(2+) sensors. A second example involves novel EFCaBP extracellular function, that is, the role of S100A8/S100A9 heterodimer in the innate immune response to bacterial pathogens. A mechanism for the antimicrobial activity of S100A8/S100A9 was discovered. We describe interactions of S100A8/S100A9 and S100B with the cell surface receptor for advanced glycation end products. Biochemical and structural studies are now uncovering the mechanisms by which EFCaBPs work and are helping to define their biological activities, while simultaneously expanding knowledge of the roles of these proteins in normal cellular physiology and the pathology of disease.

Dataset Information

An explicit formulation approach for the analysis of calcium binding to EF-hand proteins using isothermal titration calorimetry.

Publications

An explicit formulation approach for the analysis of calcium binding to EF-hand proteins using isothermal titration calorimetry.

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