Dynamics of structured populations with inherited properties
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Publication:1101035
DOI10.1016/0898-1221(87)90160-XzbMath0641.92010MaRDI QIDQ1101035
Publication date: 1987
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
positive operatorsasynchronous exponential growthage-structured proliferating cell populationtransition kernel of inheritance
Asymptotic behavior of solutions to PDEs (35B40) Population dynamics (general) (92D25) Groups and semigroups of linear operators (47D03)
Related Items (21)
A nonlinear problem arising in the theory of growing cell populations ⋮ 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 ⋮ Random transitions, size control, and inheritance in cell population dynamics ⋮ The asymptotic behavior of an age-cycle structured cell model with delay ⋮ On an unbounded linear operator arising in the theory of growing cell population ⋮ A mathematical analysis of a model of structured population. II ⋮ The work of Glenn F. Webb ⋮ On The Spectrum of Absorption Operators With Maxwell Boundary Conditions Arising in Population Dynamics and Transport Theory. A Unified Treatment ⋮ The asymptotic behavior of a structured cell population ⋮ The asymptotic behavior of a transport equation in cell population dynamics with a null maturation velocity ⋮ A mathematical study in the theory of dynamic populations ⋮ A model of proliferating cell populations with infinite cell cycle length: asymptotic behavior ⋮ A model of proliferating cell populations with infinite cell cycle length: Semigroup existence ⋮ Well-posedness of a nonlinear evolution equation arising in growing cell population ⋮ Mathematical analysis of a model of age-cycle length structured cell population with quiescence ⋮ From the Jager and Segel model to kinetic population dynamics nonlinear evolution problems and applications. ⋮ Mathematical analysis of an abstract model and its applications to structured populations. I ⋮ On a mathematical model of age-cycle length structured cell population with non-compact boundary conditions ⋮ Resonance phenomena in cell population chemotherapy models ⋮ On the theory of a growing cell population with zero minimum cycle length
Cites Work
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- An eigenvalue problem related to cell growth
- A model of proliferating cell populations with inherited cycle length
- A theory for the age and generation time distribution of a microbial population
- Asymptotic Analysis of a Cell Cycle Model Based on Unequal Division
- An Operator-Theoretic Formulation of Asynchronous Exponential Growth
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