Search results for " Moment equations"

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Increasing Neural Stem Cell Division Asymmetry and Quiescence Are Predicted to Contribute to the Age-Related Decline in Neurogenesis.

2018

Summary: Adult murine neural stem cells (NSCs) generate neurons in drastically declining numbers with age. How cellular dynamics sustain neurogenesis and how alterations with age may result in this decline are unresolved issues. We therefore clonally traced NSC lineages using confetti reporters in young and middle-aged adult mice. To understand the underlying mechanisms, we derived mathematical models that explain observed clonal cell type abundances. The best models consistently show self-renewal of transit-amplifying progenitors and rapid neuroblast cell cycle exit. In middle-aged mice, we identified an increased probability of asymmetric stem cell divisions at the expense of symmetric di…

0301 basic medicineCell typeAgingNeurogenesisBiologyAdult Neurogenesis ; Computational Model ; Lineage Tracing ; Lineage Tree Simulation ; Model Averaging ; Moment EquationsModels BiologicalGeneral Biochemistry Genetics and Molecular Biology03 medical and health sciencesMiceNeuroblastNeural Stem CellsAnimalsCell LineageComputer SimulationProgenitor celllcsh:QH301-705.5Stochastic ProcessesNeurogenesisAsymmetric Cell DivisionCell CycleReproducibility of ResultsCell cycleNeural stem cellClone Cells030104 developmental biologylcsh:Biology (General)Stem cellNeuroscienceHomeostasisCell reports
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Equivalent Non-Linearization of Hysteretic Systems by Means of RPS

2018

BackgroundThe analysis of elastoplastic systems with hardening (Bouc-Wen systems) under stochastic (seismic) loads needs the evaluation of higher order statistics even in the simplest case of normal distributed input. ObjectiveIn this paper, a non-linearization technique is proposed in order to evaluate the moments of any order of the response. MethodThis technique is developed by means of a nonlinear class of systems whose statistics are a priori known. The parameters of such systems can be chosen in such a way that the two systems are equivalent in a wide sense. Result & ConclusionIn the paper, the strategy to obtain the equivalence and the reliability of the results are discussed.

Thesaurus (information retrieval)Computer scienceSeismic assessment Hysteretic systems Potential systems Moment equations Equivalent non-linearization Stochastic calculus0211 other engineering and technologiesStochastic calculus020101 civil engineering02 engineering and technologyBuilding and Constructionlcsh:TH1-97450201 civil engineeringAlgebraSearch engineSeismic assessmentLinearization021105 building & constructionMoment equationslcsh:Building construction
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