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

How to Cite

Wake, G. C., & Begg, R. E. (2009). Functional Differential Equations Arising in Cell-growth. MATEMATIKA, 25, 87–90. https://doi.org/10.11113/matematika.v25.n.262

Issue

Volume 25 (June 2009)

Section

Mathematics

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.