Framework for solving dynamics of Ca2+ ion concentrations in liver cells numerically: Analysis of a non‐negativity‐preserving non‐standard finite‐difference method
DOI10.1002/mma.9464OpenAlexW4381094209MaRDI QIDQ6179570
Publication date: 16 January 2024
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.9464
convergencenumerical analysisnon-standard finite difference methodnon-negativitycalcium ion concentrationNewton-based optimization
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Biochemistry, molecular biology (92C40) Qualitative investigation and simulation of ordinary differential equation models (34C60) Finite difference and finite volume methods for ordinary differential equations (65L12)
Cites Work
- Unnamed Item
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- Nonnegativity and positiveness of solutions to mass action reaction-diffusion systems
- A second-order, unconditionally positive, mass-conserving integration scheme for biochemical systems
- Modeling in biopharmaceutics, pharmacokinetics and pharmacodynamics. Homogeneous and heterogeneous approaches
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Automatic control and adaptive time-stepping
- An age- and sex-structured SIR model: theory and an explicit-implicit numerical solution algorithm
- Positivity-preserving adaptive Runge-Kutta methods
- Runge-Kutta-Nyström methods of eighth order for addressing linear inhomogeneous problems
- Time-continuous and time-discrete SIR models revisited: theory and applications
- A cubic nonlinear population growth model for single species: theory, an explicit-implicit solution algorithm and applications
- Exact solution to a dynamic SIR model
- Positivity and boundedness preserving nonstandard finite difference schemes for solving Volterra's population growth model
- Conservation de la positivité lors de la discrétisation des problèmes d'évolution paraboliques
- A Lemma in the Theory of Structural Stability of Differential Equations
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