Nonlinear semigroup approach to age structured proliferating cell population with inherited cycle length

DOI10.1016/j.nonrwa.2007.06.002zbMath1156.92314OpenAlexW1992477442MaRDI QIDQ1007723

Toshitaka Matsumoto, Shinnosuke Oharu, Chintha Nandanie Shanthidevi

Publication date: 24 March 2009

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2007.06.002

zbMATH Keywords

cycle lengthnonlinear semigroupproliferating cell population

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell biology (92C37) Applications of operator theory in chemistry and life sciences (47N60) Groups and semigroups of linear operators, their generalizations and applications (47D99)

Related Items (5)

On the solutions for a nonlinear boundary value problem modeling a proliferating cell population with inherited cycle length ⋮ A nonlinear age-structured model of population dynamics with inherited properties ⋮ A continuum individual based model of fragmentation: dynamics of correlation functions ⋮ Existence and uniqueness results for a nonlinear evolution equation arising in growing cell populations ⋮ Nonlinear semigroup approach to transport equations with delayed neutrons

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear evolution operators and semigroups. Applications to partial differential equations
• Semilinear evolution equations with nonlinear constraints and applications.
• A model of proliferating cell populations with inherited cycle length
• Semigroups of locally Lipschitzian operators in Banach spaces
• A theory for the age and generation time distribution of a microbial population
• On an unbounded linear operator arising in the theory of growing cell population
• A nonlinear problem arising in the theory of growing cell populations
• On the solvability of a nonlinear boundary value problem arising in the theory of growing cell populations
• Étude d'un modèle de Lebowitz-Rubinow
• A mathematical study in the theory of dynamic populations

This page was built for publication: Nonlinear semigroup approach to age structured proliferating cell population with inherited cycle length