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Applications of Extended Kramers Model for the Rate of Chemical Reactions to Noise Models for Single-Cell Transcriptomics DNA analyses, and for Topographic and Retinotopic Mapping

Applications of Extended Kramers Model for the Rate of Chemical Reactions to Noise Models for Single-cell Transcriptomics, Different DNA Analyses, and for Topographic and Retinotopic Mapping

at National Academies, DBASSE

Extended Kramers Model based on Fokker-Plank Stochastic Differential Eequation for Velosity of Chemical Reactions can be applied to noise models, such as Brownian noise due to the Brownian motion of diaphragm in ultrasensitive pressure sensors that are extremely sensitive to noise caused by the thermal agitation of the molecules of the fluid medium surrounding the diaphragm and eventually produce incorrect pressure values. The model based on Cumulant Analysis can be extended to uncertainty quantification of complex computational models in different areas of sciences that can require calculation of 5-fold Boltzman integrals and the like. Along with chemical problems based on differences between single and multi cell analysis there are statistical problems related to noise models for single-cell transcriptomics and to challenging problems to distinguish genuine from technical stochastic allelic expression to challenging problems to distinguish genuine from technical stochastic allelic expression that is important in such questions as decomposition of tissues, and different DNA analyses, such as Cytoplasmic membrane-associated DNA (cmDNA) and plasmmid DNA along with Neuroscientific