Title of article :
Functional Differential Equations Arising in Cell-growth
Author/Authors :
Wake, G. C. Massey University - Institute of Information and Mathematical Sciences, New Zealand , Begg, R. E. Massey University - Institute of Information and Mathematical Sciences, New Zealand
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
Journal title :
Matematika
Journal title :
Matematika
