On the theory of a growing cell population with zero minimum cycle length

DOI10.1006/jmaa.2001.7712zbMath1056.92047OpenAlexW2109517945MaRDI QIDQ1604458

Bertrand Lods, Mustapha Mokhtar-Kharroubi

Publication date: 4 July 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2001.7712

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Groups and semigroups of linear operators (47D03) General theory of partial differential operators (47F05) Cell biology (92C37)

Related Items (9)

On the solutions for a nonlinear boundary value problem modeling a proliferating cell population with inherited cycle length ⋮ A mathematical analysis of a model of structured population. II ⋮ Spectral distribution of transport operator arising in growing cell populations ⋮ Unnamed Item ⋮ On The Spectrum of Absorption Operators With Maxwell Boundary Conditions Arising in Population Dynamics and Transport Theory. A Unified Treatment ⋮ Existence results for some nonlocal partial integrodifferential equations without compactness or equicontinuity ⋮ Semigroup generation properties of streaming operators with noncontractive boundary conditions ⋮ An \(L^p\)-approach to the well-posedness of transport equations associated to a regular field. II ⋮ A generation theorem for kinetic equations with non-contractive boundary operators.

Cites Work

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• Compact operators in Banach lattices
• A theory for the age and generation time distribution of a microbial population
• Spectral analysis and generation results for streaming operators with multiplying boundary conditions
• On an unbounded linear operator arising in the theory of growing cell population
• Resolvent Positive Operators
• On the essential spectrum of transport operators on L1-spaces
• A mathematical study in the theory of dynamic populations

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