A mathematical and numerical investigation of the hemodynamical origins of oscillations in microvascular networks
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Publication:376454
DOI10.1007/s11538-013-9825-6zbMath1310.92027OpenAlexW1973577216WikidataQ46980278 ScholiaQ46980278MaRDI QIDQ376454
Yasmine Tawfik, Robert G. Owens
Publication date: 5 November 2013
Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11538-013-9825-6
Qualitative investigation and simulation of models involving functional-differential equations (34K60) Systems biology, networks (92C42) Biological rhythms and synchronization (92B25)
Related Items (6)
Oscillations and multiple equilibria in microvascular blood flow ⋮ Modeling transit time distributions in microvascular networks ⋮ Self-sustained oscillations in blood flow through a honeycomb capillary network ⋮ On the linear stability of blood flow through model capillary networks ⋮ Model microvascular networks can have many equilibria ⋮ Spontaneous Oscillations in Simple Fluid Networks
Cites Work
- Unnamed Item
- A linear eigenvalue algorithm for the nonlinear eigenvalue problem
- Numerical simulation of unsteady blood flow through capillary networks
- Numerical simulation of blood flow through microvascular capillary networks
- Rational Krylov for nonlinear eigenproblems, an iterative projection method.
- Fractal analysis of vascular networks: insights from morphogenesis
- An Arnoldi method for nonlinear eigenvalue problems
- Jacobi-Davidson type methods for generalized eigenproblems and polynomial eigenproblems
- Red blood cell distribution in simplified capillary networks
- MICROCIRCULATION AND HEMORHEOLOGY
- Shock formation and non-linear dispersion in a microvascular capillary network
- The Onset of Oscillations in Microvascular Blood Flow
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Algorithms and Data Structures for Sparse Symmetric Gaussian Elimination
- Blood flow in microvascular networks: A study in nonlinear biology
- A Class of Methods for Solving Nonlinear Simultaneous Equations
- On an Approach to the Solution of the Generalized Latent Value Problem for $\lambda $-Matrices
- An Algorithm for Generalized Matrix Eigenvalue Problems
- Algorithms for the Nonlinear Eigenvalue Problem
- Computational Science - ICCS 2004
- Methods of conjugate gradients for solving linear systems
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