Functional Differential Equations Arising in Cell-growth

Authors

  • G. C. Wake
  • R. E. Begg

DOI:

https://doi.org/10.11113/matematika.v25.n.262

Abstract

Non-local differential equations are notoriously difficult to solve. Cell-growth models for population growth of a cohort structured by size, simultaneously growing and dividing, give rise to a class of non-local eigenvalue problems, whose "principal” eigenvalue is the time-constant for growth/decay. These and other novel non-local problems are described and solved in special cases in this paper. Keywords: Non-local differential equations; non-local eigenvalue problems; delay equation; pantograph equation; zero-flux condition; cohort of cells; Green’s function

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Published

01-06-2009

Issue

Volume 25 (June 2009)

Section

Analysis and Algebra

License

Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.

How to Cite

Functional Differential Equations Arising in Cell-growth. (2009). MATEMATIKA, 25, 87-90. https://doi.org/10.11113/matematika.v25.n.262