Bifurcations and Dynamics Emergent From Lattice and Continuum Models of Bioactive Porous Media
DOI10.1142/S0218127418300379zbMath1402.35285arXiv1702.08345WikidataQ129027927 ScholiaQ129027927MaRDI QIDQ4554999
Andrew L. Krause, Sarah L. Waters, Robert A. van Gorder, Dmitri B. Beliaev
Publication date: 19 November 2018
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1702.08345
bifurcation analysisnonlocal reaction-diffusion equationsbioactive porous medialattice and continuum models
Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Bifurcations in context of PDEs (35B32) Methods of ordinary differential equations applied to PDEs (35A24) Symmetries, invariants, etc. in context of PDEs (35B06) Pattern formations in context of PDEs (35B36)
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Cites Work
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- Mathematical modelling of flow through vascular networks: implications for tumour-induced angiogenesis and chemotherapy strategies
- The influence of hydrostatic pressure on tissue engineered bone development
- The Turing bifurcation in network systems: collective patterns and single differentiated nodes
- Convergence of method of lines approximations to partial differential equations
- Instability results for reaction-diffusion equations with Neumann boundary conditions
- Convergence of solutions of one-dimensional semilinear parabolic equations
- Continuous and discrete mathematical models of tumor-induced angiogenesis
- Symmetry-breaking Hopf bifurcation in anisotropic systems
- Patterns in square arrays of coupled cells
- Discrete and continuum approximations for collective cell migration in a scratch assay with cell size dynamics
- Some curious phenomena in coupled cell networks
- A review of mathematical models for the formation of vascular networks
- Individual-based and continuum models of growing cell populations: a comparison
- Discrete Hopf bifurcation for Runge-Kutta methods
- Spontaneous symmetry breaking in photonic lattices: theory and experiment
- Spatio-temporal pattern formation in a nonlocal reaction-diffusion equation
- On the nonlocal Fisher–KPP equation: steady states, spreading speed and global bounds
- Asymptotics semiclassically concentrated on curves for the nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation
- Bifurcation on the hexagonal lattice and the planar Bénard problem
- Bifurcation and symmetry breaking in applied mathematics
- Hopf bifurcation on a square lattice
- Symmetry breaking bifurcation for coupled chaotic attractors
- DYNAMICS OF LATTICE DIFFERENTIAL EQUATIONS
- Dynamics of a strongly nonlocal reaction–diffusion population model
- CHAOS IN A NEAR-INTEGRABLE HAMILTONIAN LATTICE
- Modelling solid tumour growth using the theory of mixtures
- Local bifurcations and feasibility regions in differential-algebraic systems
- Exponentially Fragile<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">P</mml:mi><mml:mi mathvariant="script">T</mml:mi></mml:math>Symmetry in Lattices with Localized Eigenmodes
- A continuum model of cell proliferation and nutrient transport in a perfusion bioreactor
- THE EXISTENCE AND CLASSIFICATION OF SYNCHRONY-BREAKING BIFURCATIONS IN REGULAR HOMOGENEOUS NETWORKS USING LATTICE STRUCTURES
- $\sqrt{5}:2$ MODE INTERACTIONS ON A SQUARE LATTICE
- Networks
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