PMID- 16043196
OWN - NLM
STAT- MEDLINE
DCOM- 20051122
LR  - 20191003
IS  - 0025-5564 (Print)
IS  - 0025-5564 (Linking)
VI  - 197
IP  - 1
DP  - 2005 Sep
TI  - A comprehensive continuous-time model for the appearance of CGH signal due to 
      chromosomal missegregations during mitosis.
PG  - 67-87
AB  - Aneuploidy, the gain or loss of large regions of the genome, is a common feature 
      in cancer cells. Irregularities in chromosomal copy number caused by 
      missegregations of chromosomes during mitosis can be visualized by cytogenetic 
      techniques including fluorescence in situ hybridization (FISH), spectral 
      karyotyping (SKY) and comparative genomic hybridization (CGH). In the current 
      work, we consider the propagation of irregular copy numbers throughout a cell 
      population as the individual cells progress through ordinary mitotic cell cycles. 
      We use an algebraic model to track the different copy numbers as states in a 
      stochastic process, based on the model of chromosome instability of Gusev, 
      Kagansky, and Dooley, and consider the average copy number of a particular 
      chromosome within a cell population as a function of the cell division rate. We 
      review a number of mathematical models for determining the length of the cell 
      cycle, including the Smith-Martin transition probability model and the 'sloppy 
      size' model of Wheals, Tyson and Diekmann. The program MITOSIM simulates the 
      growth of a population of cells using the aforementioned models of the cell 
      cycle. MITOSIM allows the cell population to grow, with occasional resampling, 
      until the average copy number of a given chromosome in the population reaches a 
      preset threshold signifying a positive copy number alteration in this region. 
      MITOSIM calculates the relationship between the missegregation rate and the 
      growth rate of the cell population. This allows the user to test hypotheses 
      regarding the effect chromosomal aberrations have upon the cell cycle, cell 
      growth rates, and time to population dominance.
FAU - Desper, Richard
AU  - Desper R
AD  - Computational Biology Branch, National Center for Biotechnology Information, 
      National Institutes of Health, Department of Health and Human Services, Building 
      38A, Room 6S608, 8600 Rockville Pike, Bethesda, MD, USA.
FAU - Difilippantonio, Michael J
AU  - Difilippantonio MJ
FAU - Ried, Thomas
AU  - Ried T
FAU - Schaffer, Alejandro A
AU  - Schaffer AA
LA  - eng
GR  - Z99 CA999999/Intramural NIH HHS/United States
PT  - Comparative Study
PT  - Journal Article
PL  - United States
TA  - Math Biosci
JT  - Mathematical biosciences
JID - 0103146
SB  - IM
MH  - Aneuploidy
MH  - Chromosome Segregation/*genetics
MH  - Computer Simulation
MH  - Cytogenetics
MH  - Humans
MH  - Mathematics
MH  - Mitosis/*genetics
MH  - Models, Genetic
MH  - Models, Statistical
MH  - Neoplasms/genetics
MH  - Software
PMC - PMC1356526
MID - NIHMS6178
EDAT- 2005/07/27 09:00
MHDA- 2005/12/13 09:00
PMCR- 2008/01/24
CRDT- 2005/07/27 09:00
PHST- 2004/08/10 00:00 [received]
PHST- 2005/03/31 00:00 [revised]
PHST- 2005/05/16 00:00 [accepted]
PHST- 2005/07/27 09:00 [pubmed]
PHST- 2005/12/13 09:00 [medline]
PHST- 2005/07/27 09:00 [entrez]
PHST- 2008/01/24 00:00 [pmc-release]
AID - S0025-5564(05)00100-8 [pii]
AID - 10.1016/j.mbs.2005.05.005 [doi]
PST - ppublish
SO  - Math Biosci. 2005 Sep;197(1):67-87. doi: 10.1016/j.mbs.2005.05.005.