Functional differential equations determining steady size distributions for populations of cells growing exponentially

DOI10.1017/S0334270000006779zbMath0711.92017OpenAlexW1972432485MaRDI QIDQ3496196

Publication date: 1990

Published in: The Journal of the Australian Mathematical Society. Series B. Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0334270000006779

zbMATH Keywords

Heaviside function series solution closed-form solution exponential growth functional differential equation cell populations steady size distribution division rate

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items (22)

A Mellin transform solution to a second-order pantograph equation with linear dispersion arising in a cell growth model ⋮ Periodic asymptotic dynamics of the measure solutions to an equal mitosis equation ⋮ On the density arising from the domain of attraction of an operator interpolating between sum and supremum: the \(\alpha\)-sun operator ⋮ ON A CELL DIVISION EQUATION WITH A LINEAR GROWTH RATE ⋮ On the existence of solutions to an inhomogeneous pantograph type equation with singular coefficients ⋮ Explicit Solution and Fine Asymptotics for a Critical Growth-Fragmentation Equation ⋮ Cell Division And The Pantograph Equation ⋮ Classroom Notes ⋮ Classroom Notes ⋮ Classroom Notes ⋮ AN EIGENVALUE PROBLEM INVOLVING A FUNCTIONAL DIFFERENTIAL EQUATION ARISING IN A CELL GROWTH MODEL ⋮ Steady size distributions for cells in one-dimensional plant tissues ⋮ Second-order phase transition in phytoplankton trait dynamics ⋮ EIGENFUNCTIONS ARISING FROM A FIRST-ORDER FUNCTIONAL DIFFERENTIAL EQUATION IN A CELL GROWTH MODEL ⋮ A CELL GROWTH MODEL ADAPTED FOR THE MINIMUM CELL SIZE DIVISION ⋮ Spectral Gap for the Growth-Fragmentation Equation via Harris's Theorem ⋮ Recent advances in the numerical analysis of Volterra functional differential equations with variable delays ⋮ Long-time behavior and Darwinian optimality for an asymmetric size-structured branching process ⋮ ON EXISTENCE AND UNIQUENESS OF SOLUTIONS TO A PANTOGRAPH TYPE EQUATION ⋮ Cyclic asymptotic behaviour of a population reproducing by fission into two equal parts ⋮ ASYMMETRICAL CELL DIVISION WITH EXPONENTIAL GROWTH ⋮ On solutions to a class of functional differential equations with time-dependent coefficients

This page was built for publication: Functional differential equations determining steady size distributions for populations of cells growing exponentially