Cell cycle analysis

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'''1.Determination of initiation age (a<sub>i</sub>) and C+D''':[[Image:Theoretical_age_distr.jpg|left|200px]]
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===Determination of initiation age (a<sub>i</sub>) and C+D:===
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[[Image:Theoretical_age_distr.jpg|left|200px]]
From flow cytometry analysis of cells treated with rifampicin and cephalexin (run-out histogram) the proportions of cells that had not initiated replication at the time of drug action (4-origin-cells, streaked) and cells that had initiated (8-origin-cells) can be estimated.The initiation age (a<sub>i</sub>) can be found from the theoretical age distribution described by this formula,
From flow cytometry analysis of cells treated with rifampicin and cephalexin (run-out histogram) the proportions of cells that had not initiated replication at the time of drug action (4-origin-cells, streaked) and cells that had initiated (8-origin-cells) can be estimated.The initiation age (a<sub>i</sub>) can be found from the theoretical age distribution described by this formula,
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'''F = 2 - 2<sup>((thau-a<sub>i</sub>)/τ)</sup>'''
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'''<math>F=2-2^\frac{\tau-a_i</sub>)/τ)</sup>'''
This gives:
This gives:
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'''2. Determination of the C and D periods:'''
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===Determination of the C and D periods:===
The C period is found from the ''oriC/terC'' ratio obtained by Southern blot analysis and the generation time (τ):
The C period is found from the ''oriC/terC'' ratio obtained by Southern blot analysis and the generation time (τ):
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'''3. The theoretical exponential DNA histogram:'''
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===The theoretical exponential DNA histogram:===
A theoretical exponential DNA histogram can be drawn to check whether the obtained values fit with the experimental data. From the C+D period the DNA content of the cells at different time points in the cell cycle can be calculated.
A theoretical exponential DNA histogram can be drawn to check whether the obtained values fit with the experimental data. From the C+D period the DNA content of the cells at different time points in the cell cycle can be calculated.
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'''4. Calculation of the average number of replication forks when D=τ:'''
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===Calculation of the average number of replication forks when D=τ:===
In the example given above, 23% of the cells contain 4 replication forks (4-origin peak in run-out histogram) and 77% contain 12 replication forks (8-origin peak), hence the average number of replication forks in the cell population will be:
In the example given above, 23% of the cells contain 4 replication forks (4-origin peak in run-out histogram) and 77% contain 12 replication forks (8-origin peak), hence the average number of replication forks in the cell population will be:
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'''5. Calculation of the average number of replication forks when D≠τ:'''
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===Calculation of the average number of replication forks when D≠τ:===
Example:
Example:

Revision as of 09:13, 21 January 2009

Cell cycle analysis of Escherichia coli cells

C period = the time for a round of chromosome replication

D period = the time between the end of a round of chromosome replication and cell division


Contents

Determination of initiation age (ai) and C+D:

From flow cytometry analysis of cells treated with rifampicin and cephalexin (run-out histogram) the proportions of cells that had not initiated replication at the time of drug action (4-origin-cells, streaked) and cells that had initiated (8-origin-cells) can be estimated.The initiation age (ai) can be found from the theoretical age distribution described by this formula,

Failed to parse (syntax error): F=2-2^\frac{\tau-a_i</sub>)/τ)</sup>''' This gives: '''<math>a_i=\tau-\frac{log(2-F)}{log2}*\tau


where F is the fraction of cells that had not initiated and τ is the generation time, or from the estimated graph of the theoretical age distribution (streaked portion).





The C+D period is estimated from the initiation age (ai), the generation time (τ) and the number of generations spanned per cell cycle.


Example:

4-origin-cells: 23 %

Generation time (τ): 27 min

Initiation age (ai): 5 min










Determination of the C and D periods:

The C period is found from the oriC/terC ratio obtained by Southern blot analysis and the generation time (τ):

oriC/terC=2C/τ


The D period is found from the C+D and C period:

D = (C+D) - C


Example (continues):

C period calculated from the oriC/terC ratio: 49 min

D period = (C+D) – C

D period = 76 min – 49 min = 27 min










The theoretical exponential DNA histogram:

A theoretical exponential DNA histogram can be drawn to check whether the obtained values fit with the experimental data. From the C+D period the DNA content of the cells at different time points in the cell cycle can be calculated.

Example:

















The individual values of C and D can be varied

to obtain a shape of the theoretical histogram

that gives the best fit to the experimental histogram.








Calculation of the average number of replication forks when D=τ:

In the example given above, 23% of the cells contain 4 replication forks (4-origin peak in run-out histogram) and 77% contain 12 replication forks (8-origin peak), hence the average number of replication forks in the cell population will be:

(4 x 0.23) + (12 x 0.77) = 10.2 forks



Calculation of the average number of replication forks when D≠τ:

Example:

4-origin-cells: 23%

8-origin-cells: 77%

τ = 27 min

ai = 5 min

C = 51 min

D = 25 min

C+D = 76 min



















12 forks → 8-origin peak in run-out histogram = 77% of the cells

6 and 4 forks → 4-origin peak in run-out histogram = 23% of the cells

The fraction of cells containing 6 forks: F = 2 - 2((τ-at)/τ) = 2 – 2((27-2)/27) = 0.10

The fraction of cells containing 4 forks: 0.23 – 0.10 = 0.13

The average number of replication forks: (6 x 0.10) + (4 x 0.13) + (12 x 0.77) = 10.4 forks

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