On a functional equation model of transient cell-growrh

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dc.contributor.authorBegg, Ronald
dc.contributor.authorWake, G.C.
dc.contributor.authorWall, David J. N.
dc.date.accessioned2016-08-30T03:22:42Z
dc.date.available2016-08-30T03:22:42Z
dc.date.issued2004en
dc.description.abstractA cell-growth model with applications to modelling the size distribution of diatoms is examined. The analytic solution to the model without dispersion is found and is shown to display periodic exponential growth rather than asynchronous (or balanced) exponential growth. It is shown that a bounding envelope (hull) of the solution to the model without dispersion takes the same shape as the limiting steady size-distribution (SSD) to the dispersive case as dispersion tends to zero. The effect of variable growth rate on the shape of the hull is also discussed.en
dc.identifier.issn1172-8531
dc.identifier.urihttp://hdl.handle.net/10092/12645
dc.language.isoen
dc.publisherUniversity of Canterburyen
dc.rightsAll Rights Reserveden
dc.rights.urihttps://canterbury.libguides.com/rights/theses
dc.subject.anzsrcFields of Research::49 - Mathematical sciences::4901 - Applied mathematics::490102 - Biological mathematicsen
dc.titleOn a functional equation model of transient cell-growrhen
dc.typeDiscussion / Working Papers
uc.collegeFaculty of Engineering
uc.departmentSchool of Engineeringen
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