A diffusion model for patch formation on cellular surfaces

DOI10.1007/BF01442110zbMath0427.92003OpenAlexW2080515641MaRDI QIDQ1136955

Anna Gerardi, G. del Grosso, Federico Marchetti

Publication date: 1981

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01442110

zbMATH Keywords

diffusion processhomogeneous Dirichlet boundary conditionsCameron-Martin-Girsanov formulacellular membraneestimating principal eigenvalue of elliptic operatorLyapunov- type technique

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General theory of partial differential operators (47F05) Stochastic integrals (60H05) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) General biology and biomathematics (92B05)

Related Items (6)

The first eigenvalue of a spherical cap ⋮ New stochastic fractional models for Malthusian growth, the Poissonian birth process and optimal management of populations ⋮ An eigenlength problem arising from a model of patch formation ⋮ Lateral diffusion and eigenvalue estimates ⋮ Simulation of diffusions with boundary conditions ⋮ An eigenvalue problem arising in a patch formation model

Cites Work

• The first eigenvalue of a spherical cap
• On Transforming a Certain Class of Stochastic Processes by Absolutely Continuous Substitution of Measures
• On a Variational Formula for the Principal Eigenvalue for Operators with Maximum Principle
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