Cell Division And The Pantograph Equation
| Autor: | Ali Zaidi, B. van Brunt, Tammy A. Lynch |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
T57-57.97
0209 industrial biotechnology Class (set theory) Mellin transform Applied mathematics. Quantitative methods 010102 general mathematics Context (language use) 02 engineering and technology Division (mathematics) 01 natural sciences 020901 industrial engineering & automation Simple (abstract algebra) Ordinary differential equation QA1-939 Pantograph Applied mathematics Uniqueness 0101 mathematics Mathematics |
| Zdroj: | ESAIM: Proceedings and Surveys, Vol 62, Pp 158-167 (2018) |
| ISSN: | 2267-3059 |
| DOI: | 10.1051/proc/201862158 |
| Popis: | Simple models for size structured cell populations undergoing growth and division produce a class of functional ordinary differential equations, called pantograph equations, that describe the long time asymptotics of the cell number density. Pantograph equations arise in a number of applications outside this model and, as a result, have been studied heavily over the last five decades. In this paper we review and survey the rôle of the pantograph equation in the context of cell division. In addition, for a simple case we present a method of solution based on the Mellin transform and establish uniqueness directly from the transform equation. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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