FUCNCTIONAL DIFFERENTIAL EQUATIONS IN CELL GROWTH MODELS
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Author:
HUMIARA AZIZ
Citable URI :
https://vspace.vu.edu.pk/detail.aspx?id=287
Publisher :
Virtual University
Date Issued:
1/9/2020 12:00:00 AM
Abstract
A functional dierential equation for growth,ssion and loss of cells struc-
tured with size is presented.Size refers to the content of DNA.Partial dier-
ential equation explain the asymptotic functioning behavior of cell -growth
models,are taken in to account.Here we discussed the symmetric fur- ther-
more the asymmetric division of cell.Through probabilistic approach we ob-
tained simple proof of existence of the steady size distribution and derivation
of functional equation.We then move along the study of binary asymmetric
cell division.Asymmetric cell division also takes to initial and boundary con-
dition problem this relates to linear partial dierential equa- tion with two
functional terms,which have order one.We consider the asymmetric binary
cell division also show that the solutions for partial dierential equation
converge to the separable solutions for large time.
URI :
https://vspace.vu.edu.pk/details.aspx?id=287
Citation:
Aziz, H(2019). FUCNCTIONAL DIFFERENTIAL EQUATIONS IN CELL GROWTH MODELS. Virtual University of Pakistan.(Lahore, Pakistan).
Version :
Final Version
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