Spectral Analysis of a Transport Operator Arising in Growing Cell Populations

2006 ◽  
Vol 92 (1) ◽  
pp. 37-62 ◽  
Author(s):  
Abdelkader Dehici ◽  
Aref Jeribi ◽  
Khalid Latrach
Keyword(s):  
Spectral Analysis ◽  
Cell Populations ◽  
Transport Operator ◽  
Growing Cell

scholarly journals Spectral Distribution of Transport Operator Arising in Growing Cell Populations

2014 ◽  
Vol 2014 ◽  
pp. 1-10
Author(s):  
Hongxing Wu ◽  
Shenghua Wang ◽  
Dengbin Yuan
Keyword(s):  
Remainder Term ◽  
Smooth Boundary ◽  
Linear Operators ◽  
Cell Populations ◽  
Resolvent Operators ◽  
Transport Operator ◽  
Growing Cell ◽  
Isolated Eigenvalues ◽  
Algebraic Multiplicities ◽  
Partly Smooth

Transport equation with partly smooth boundary conditions arising in growing cell populations is studied inLp  (1<p<+∞)space. It is to prove that the transport operatorAHgenerates aC0semigroup and the ninth-order remainder termR9(t)of the Dyson-Phillips expansion of the semigroup is compact, and the spectrum of transport operatorAHconsists of only finite isolated eigenvalues with finite algebraic multiplicities in a tripΓω. The main methods rely on theory of linear operators, comparison operators, and resolvent operators approach.

On a transport operator arising in growing cell populations II. Cauchy problem

2004 ◽  
Vol 28 (2) ◽  
pp. 127-145 ◽  
Author(s):  
Aref Jeribi ◽  
Hatem Megdiche ◽  
Nedra Moalla
Keyword(s):  
Cauchy Problem ◽  
Cell Populations ◽  
Transport Operator ◽  
Growing Cell

Synchronized oscillations in growing cell populations are explained by demographic noise

2021 ◽  
Vol 120 (8) ◽  
pp. 1314-1322
Author(s):  
Enrico Gavagnin ◽  
Sean T. Vittadello ◽  
Gency Gunasingh ◽  
Nikolas K. Haass ◽  
Matthew J. Simpson ◽  
...  
Keyword(s):  
Cell Populations ◽  
Growing Cell ◽  
Demographic Noise

Detection of Cell Cycle Stages in situ in Growing Cell Populations

Cell Biology ◽  
2006 ◽  
pp. 291-299 ◽  
Author(s):  
I SOLOVEI ◽  
L SCHERMELLEH ◽  
H ALBIEZ ◽  
T CREMER
Keyword(s):  
Cell Cycle ◽  
Cell Populations ◽  
Growing Cell

Spectral analysis of transport operator: Functional model approach

2002 ◽  
Vol 51 (6) ◽  
pp. 1389-1426 ◽  
Author(s):  
Yuri A. Kuperin ◽  
Roman V. Romanov ◽  
Serguei N. Naboko
Keyword(s):  
Spectral Analysis ◽  
Functional Model ◽  
Transport Operator ◽  
Model Approach

scholarly journals Unimodality of steady size distributions of growing cell populations

2001 ◽  
Vol 1 (4) ◽  
pp. 405-409 ◽  
Author(s):  
F. P. da Costa ◽  
M. Grinfeld ◽  
J. B. McLeod
Keyword(s):  
Cell Populations ◽  
Size Distributions ◽  
Growing Cell

scholarly journals Streaming Instability in Growing Cell Populations

2010 ◽  
Vol 104 (20) ◽  
Author(s):  
William Mather ◽  
Octavio Mondragón-Palomino ◽  
Tal Danino ◽  
Jeff Hasty ◽  
Lev S. Tsimring
Keyword(s):  
Cell Populations ◽  
Streaming Instability ◽  
Growing Cell
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