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We study the Markovian process on parameterized approximate nonlinear one-dimensional double Morse potentials, used to describe the collective proton dynamics in one dimensional network of hydrogen bonds. Using Kramer’s method, the first and second moment of the proton’s dynamic is evaluated respectively in the case of over damping, intermediate damping and very low damping limit. We found out that in the case of an over damping limit and intermediate damping, the dynamics of the proton decrease when the curvature parameter increases. In the case of very low damping limit, the motion of the proton in the well became independent on the curvature parameter.
This study is one of very few studies which have investigated on the interaction between the heat bath and the hydrogen bonds chain subject to parameterized nonlinear one-dimensional double Morse potentials more precisely the dependence of some physicals quantities with the curvature parameter.
A Pilot Study of Methods about Detection of Inter-Molecular Interactions As Individual Units of Intra-Cellular Structures, Intra- And Extra-Cellular Cascade Regulatory Pathways
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Iskra V Sainova , Ilina P Valkova , Bistra Alexieva , Elena B Nikolova , Angel Baldzhiev , Daniela Karashanova , Biliana Georgieva , Angel Alishev , Marin Nenchev (2016). A Pilot Study of Methods about Detection of Inter-Molecular Interactions As Individual Units of Intra-Cellular Structures, Intra- And Extra-Cellular Cascade Regulatory Pathways. World Journal of Molecular Research, 1(1): 1-13. DOI: 10.18488/journal.505/2016.1.1/505.1.1.13
Different methods for investigation on the mechanisms of participation of cell proteins in direct and/or indirect intra- and extra-cellular inter-molecular (protein-lipid, protein-protein, protein-RNA, protein-DNA interactions, etc.), by cascade regulatory pathways were developed and tested. These bio-molecules (in particular microtubule proteins and cyclins) have been found as parts from different complex structures from the nuclear, cytoskeleton and membrane cell fractions, as mitotic spindle, endocytosis vesicles, cell organelles, membrane structures, which are important for basic cell functions. The techniques, developed in the current study, could be useful for identification of the proteins/peptides, participating in the composition of these structures, but also of the interactions between them, on molecular and intra-molecular levels. For confirmation of the results obtained and the reliability of the applied methods, routine techniques as scanning electron microscopy (SEM) and transmission electron microscopy (TEM) assays were used. In all cases, the main goal is directed to search of molecules, participating in the control of cell growth and proliferation, as well as of such, which determine the further cell fate during cell differentiation and maturation.
The current study contributes in the existing literature with confirmation of the inter-molecular interactions for the cell differentiation direction. The current paper underlines the relationship between the changes in three different levels: cell morphology; intra-cellular organelles structure, and bio-molecules, by application of novel detection methods.