Several indicators of critical transitions for complex diseases based on stochastic analysis

DOI10.1155/2017/7560758zbMath1397.92376OpenAlexW2741368073WikidataQ38611072 ScholiaQ38611072MaRDI QIDQ1664506

Gang Wang, Xiufen Zou, Yuan-Yuan Li

Publication date: 27 August 2018

Published in: Computational \& Mathematical Methods in Medicine (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/7560758

zbMATH Keywords

stochastic differential equationstochastic analysiscritical transitionscomplex disease

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Medical applications (general) (92C50) Applications of stochastic analysis (to PDEs, etc.) (60H30)

Uses Software

• DAVID
• HMM_based_method

Cites Work

• Domain control of nonlinear networked systems and applications to complex disease networks
• Negative feedback contributes to the stochastic expression of the interferon-\(\beta\) gene in virus-triggered type I interferon signaling pathways
• A mathematical framework for critical transitions: bifurcations, fast-slow systems and stochastic dynamics
• A mathematical framework for critical transitions: normal forms, variance and applications
• Mathematical modeling of HIV-like particle assembly \textit{in vitro}
• Mathematical Modeling and Nonlinear Dynamical Analysis of Cell Growth in Response to Antibiotics