Understanding broad-spike oscillations in a model of intracellular calcium dynamics
From MaRDI portal
Publication:6667520
DOI10.1137/24m1633807MaRDI QIDQ6667520
Samuel Jelbart, James Sneyd, Vivien Kirk, Behnaz Rahmani
Publication date: 20 January 2025
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
geometric singular perturbation theorycomplex oscillationsmultiple time-scalesintracellular calcium dynamics
Dynamical systems in biology (37N25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Singular perturbations for ordinary differential equations (34E15) Relaxation oscillations for ordinary differential equations (34C26)
Cites Work
- Unnamed Item
- Unnamed Item
- Models of calcium signalling
- Geometric analysis of the Goldbeter minimal model for the embryonic cell cycle
- Geometric desingularization of degenerate singularities in the presence of fast rotation: A new proof of known results for slow passage through Hopf bifurcations
- Multiple time scale dynamics
- A constructive approach to quasi-steady state reductions
- Dynamics of actively regulated gene networks
- Multiple timescales, mixed mode oscillations and canards in models of intracellular calcium dynamics
- Mathematical physiology. II: Systems physiology
- Asymptotic analysis and analytical solutions of a model of cardiac excitation
- Geometric singular perturbation analysis of an autocatalator model
- Geometric singular perturbation theory for ordinary differential equations
- Normally hyperbolic invariant manifolds in dynamical systems
- Hybrid models of genetic networks: mathematical challenges and biological relevance
- Analysis and generic properties of gene regulatory networks with graded response functions
- Relaxation oscillations in \({\mathbb R}^3\)
- Oscillations in a cAMP signalling model for cell aggregation -- a geometric analysis
- Dual mechanisms of Ca\(^{2+}\) oscillations in hepatocytes
- Singular perturbations and scaling
- Multiscale geometry of the Olsen model and non-classical relaxation oscillations
- A tale of two receptors
- Singular Dynamics in Gene Network Models
- Simulating, Analyzing, and Animating Dynamical Systems
- Multiple timescales and the parametrisation method in geometric singular perturbation theory
- Two-stroke relaxation oscillators
- Process-Oriented Geometric Singular Perturbation Theory and Calcium Dynamics
- Geometric Singular Perturbation Theory Beyond the Standard Form
- Scaling in Singular Perturbation Problems: Blowing Up a Relaxation Oscillator
- Relaxation oscillations in substrate-depletion oscillators close to the nonsmooth limit
- Canards in \(\mathbb{R}^3\)
- Emergence of broad cytosolic \(\mathrm{Ca}^{2+}\) oscillations in the absence of CRAC channels: a model for CRAC-mediated negative feedback on PLC and \(\mathrm{Ca}^{2+}\) oscillations through PKC
This page was built for publication: Understanding broad-spike oscillations in a model of intracellular calcium dynamics