Functional differential equations arising in cell‐growth | Zendy

Wake G. C. | Zendy; Begg R. E. | Zendy

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Functional differential equations arising in cell‐growth

Author(s) -

Wake G. C.,

Begg R. E.

Publication year - 2007

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.200700950

Subject(s) - eigenvalues and eigenvectors , constant (computer programming) , mathematics , principal (computer security) , differential equation , class (philosophy) , population , differential (mechanical device) , mathematical analysis , computer science , physics , thermodynamics , medicine , environmental health , quantum mechanics , artificial intelligence , programming language , operating system

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. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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