Journal article

A nonlinear model of age and size-structured populations with applications to cell cycles

Abstract:: The Sharpe-Lotka-McKendrick (or von Foerster) equations for an age-structured population, with a nonlinear term to represent overcrowding or competition for resources, are considered. The model is extended to include a growth term, allowing the population to be structured by size or weight rather than age, and a general solution is presented. Various examples are then considered, including the case of cell growth where cells divide at a given size. Copyright © Australian Mathematical Society 2007.

Publication status:: Published

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APA Style

Chapman, S., Plank, M., James, A., & Basse, B. (2007). A nonlinear model of age and size-structured populations with applications to cell cycles. ANZIAM JOURNAL, 49(2), 151–169.

MLA Style

Chapman, S, et al. “A Nonlinear Model of Age and Size-Structured Populations with Applications to Cell Cycles.” ANZIAM JOURNAL, vol. 49, no. 2, 2007, pp. 151–69.

Chicago Style

Chapman, S, M Plank, A James, and B Basse. 2007. “A Nonlinear Model of Age and Size-Structured Populations with Applications to Cell Cycles.” ANZIAM JOURNAL 49 (2): 151–69.
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Publisher copy:: 10.1017/S144618110001275X

Authors

+ Chapman, S More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

+ Plank, M More by this author

Role:: Author

+ James, A More by this author

Role:: Author

+ Basse, B More by this author

Role:: Author

Journal:: ANZIAM JOURNAL More from this journal
Volume:: 49
Issue:: 2
Pages:: 151-169
Publication date:: 2007-10-01
DOI:: 10.1017/S144618110001275X
EISSN:: 1446-8735
ISSN:: 1446-1811

Language:: English
Keywords:: populations

mathematical model

size-structure

cell cycle

age-structure
Pubs id:: pubs:2016
UUID:: uuid:f0d80cc2-1601-409a-ad49-52adfb96133b
Local pid:: pubs:2016
Source identifiers:: 2016
Deposit date:: 2012-12-19
ARK identifier:: ark:/29072/ora_f0d80cc21601409aad4952adfb96133b

Terms of use

Copyright date:: 2007

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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