Cellular diffusion processes in singularly perturbed domains
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Publication:6646451
DOI10.1007/S00285-024-02160-2MaRDI QIDQ6646451
Publication date: 2 December 2024
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Diffusion processes (60J60) Cell biology (92C37)
Cites Work
- An asymptotic analysis of a 2-D model of dynamically active compartments coupled by bulk diffusion
- Mathematical modelling of bacterial quorum sensing: a review
- Approximating the dynamics of communicating cells in a diffusive medium by ODEs -- homogenization with localization
- Optimizing the principal eigenvalue of the Laplacian in a sphere with interior traps
- Model of cell signal transduction in a three-dimensional domain
- Chemical oscillations, waves, and turbulence
- From Kuramoto to Crawford: Exploring the onset of synchronization in population of coupled oscillators
- Ostwald ripening in two dimensions -- the rigorous derivation of the equations from the Mullins-Sekerka dynamics
- Dynamical quorum-sensing in oscillators coupled through an external medium
- A novel approach to modelling the spatial spread of airborne diseases: an epidemic model with indirect transmission
- Asymptotic analysis of first passage time problems inspired by ecology
- Dynamics and stability of a three-dimensional model of cell signal transduction
- Reaction rate of small diffusing molecules on a cylindrical membrane
- Mathematical physiology. I: Cellular physiology
- Narrow escape. I
- Narrow escape. II: The circular disk
- Narrow escape. III: Non-smooth domains and Riemann surfaces
- Escape through a small opening: receptor trafficking in a synaptic membrane
- An asymptotic analysis of the mean first passage time for narrow escape problems. I: Two-dimensional domains
- An asymptotic analysis of the mean first passage time for narrow escape problems. II: The sphere
- Soft matter physics
- Kuramoto model with coupling through an external medium
- First-passage quantities of Brownian motion in a bounded domain with multiple targets: a unified approach
- Strong Localized Perturbations of Eigenvalue Problems
- Summing Logarithmic Expansions for Singularly Perturbed Eigenvalue Problems
- Spots, traps, and patches: asymptotic analysis of localized solutions to some linear and nonlinear diffusive systems
- Conditional Mean First Passage Times to Small Traps in a 3-D Domain with a Sticky Boundary: Applications to T Cell Searching Behavior in Lymph Nodes
- Escape from Subcellular Domains with Randomly Switching Boundaries
- Diffusion of Protein Receptors on a Cylindrical Dendritic Membrane with Partially Absorbing Traps
- A Probabilistic Analysis of Volume Transmission in the Brain
- Synchrony and Oscillatory Dynamics for a 2-D PDE-ODE Model of Diffusion-Mediated Communication between Small Signaling Compartments
- Asymptotic Analysis of Target Fluxes in the Three-Dimensional Narrow Capture Problem
- Localised signalling compartments in 2D coupled by a bulk diffusion field: Quorum sensing and synchronous oscillations in the well-mixed limit
- Asymptotic and Numerical Analysis of a Stochastic PDE Model of Volume Transmission
- The Narrow Escape Problem
- An Asymptotic Analysis of Intracellular Signaling Gradients Arising from Multiple Small Compartments
- Diffusion on a Sphere with Localized Traps: Mean First Passage Time, Eigenvalue Asymptotics, and Fekete Points
- Moment equations for a piecewise deterministic PDE
- Time scale of diffusion in molecular and cellular biology
- First Passage Statistics for the Capture of a Brownian Particle by a Structured Spherical Target with Multiple Surface Traps
- Two-dimensional droplet ripening in a concentration gradient
- Accumulation Time of Diffusion in a 3D Singularly Perturbed Domain
- The 3D Narrow Capture Problem for Traps with Semipermeable Interfaces
- Dynamical questions in volume transmission
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