A model for asymmetrical cell division

DOI10.3934/mbe.2015.12.491zbMath1314.35202OpenAlexW2317722912WikidataQ50942268 ScholiaQ50942268MaRDI QIDQ2339915

Bruce van Brunt, Ali Ashher Zaidi, Graeme C. Wake

Publication date: 14 April 2015

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2015.12.491

zbMATH Keywords

eigenfunctionsfunctional differential equationshyperbolic partial differential equationscell biology

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell biology (92C37) First-order hyperbolic equations (35L02)

Related Items

Exact solution of the functional Fokker-Planck equation for cell growth with asymmetric cell division ⋮ 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 ⋮ Long-time behavior and Darwinian optimality for an asymmetric size-structured branching process ⋮ ESTIMATES FOR APPROXIMATE SOLUTIONS TO A FUNCTIONAL DIFFERENTIAL EQUATION MODEL OF CELL DIVISION ⋮ ON EXISTENCE AND UNIQUENESS OF SOLUTIONS TO A PANTOGRAPH TYPE EQUATION ⋮ Probability density function solutions to a Bessel type pantograph 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

Cites Work

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• On a singular Sturm-Liouville problem involving an advanced functional differential equation
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