Revealing Bistability in Neurological Disorder Models By Solving Parametric Polynomial Systems Geometrically
DOI10.1007/978-3-319-99957-9_11zbMath1518.92038OpenAlexW2888222379MaRDI QIDQ6108822
Publication date: 30 June 2023
Published in: Artificial Intelligence and Symbolic Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-99957-9_11
ordinary differential equationsnumerical algebraic geometryfold bifurcationHopf bifurcation boundaryneurological disease models
Neural networks for/in biological studies, artificial life and related topics (92B20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Pathology, pathophysiology (92C32)
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Cites Work
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- Algebraic approaches to stability analysis of biological systems
- Mathematical foundations of neuroscience
- Numerically computing real points on algebraic sets
- Special algorithm for stability analysis of multistable biological regulatory systems
- Computing real witness points of positive dimensional polynomial systems
- Solving parametric polynomial systems
- The progression towards Alzheimer's disease described as a bistable switch arising from the positive loop between amyloids and \(\mathrm{Ca}^{2+}\)
- A Numerical Method for Computing Border Curves of Bi-parametric Real Polynomial Systems and Applications
- Finding points on real solution components and applications to differential polynomial systems
- Semi-algebraic Description of the Equilibria of Dynamical Systems
- Numerical Methods for Bifurcations of Dynamical Equilibria
- A Case Study on the Parametric Occurrence of Multiple Steady States
- Stability analysis of biological systems with real solution classification
- Modeling Life
- The Numerical Solution of Systems of Polynomials Arising in Engineering and Science
- Computational Neurology and Psychiatry
- Quantifier elimination by cylindrical algebraic decomposition based on regular chains
- Finding at least one point in each connected component of a real algebraic set defined by a single equation
- Elements of applied bifurcation theory
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