Mathematical analysis for stochastic model of Alzheimer's disease

DOI10.1016/j.cnsns.2020.105347zbMath1453.92085OpenAlexW3025049596MaRDI QIDQ2208140

Wendi Wang, Yong-xin Zhang

Publication date: 23 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2020.105347

zbMATH Keywords

bistabilitystochastic noiseP-bifurcationswitching timedisease index

Mathematics Subject Classification ID

Neural biology (92C20) Pathology, pathophysiology (92C32) Regularization by noise (60H50)

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Cites Work

• Unnamed Item
• Models of calcium signalling
• Multiple time scale dynamics
• Stability analysis of a steady state of a model describing Alzheimer's disease and interactions with prion proteins
• Complex dynamics of epidemic models on adaptive networks
• Mixed-mode oscillations in a three-store calcium dynamics model
• Early warning and basin stability in a stochastic vegetation-water dynamical system
• A mathematical framework for critical transitions: normal forms, variance and applications
• A mathematical model for amyloid-\(\beta\) aggregation in the presence of metal ions: a timescale analysis for the progress of Alzheimer disease
• Nilpotent singularities and dynamics in an SIR type of compartmental model with hospital resources
• The progression towards Alzheimer's disease described as a bistable switch arising from the positive loop between amyloids and \(\mathrm{Ca}^{2+}\)
• Asymptotic Methods for Integrals
• Analysis of a Stochastic Chemical System Close to a SNIPER Bifurcation of Its Mean-Field Model
• Well-Posedness of a Mathematical Model for Alzheimer's Disease
• Alzheimer's disease: a mathematical model for onset and progression
• Predicting noise-induced critical transitions in bistable systems
• Handbook of stochastic methods for physics, chemistry and the natural sciences.