# Cell cycle analysis

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 Revision as of 09:13, 21 January 2009 (view source)← Previous diff Revision as of 09:25, 21 January 2009 (view source) (→Determination of initiation age (ai) and C+D:)Next diff → Line 10: Line 10: 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, 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, - '''$F=2-2^\frac{\tau-a_i)/τ)''' + '''[itex]F=2-2^{\frac{(\tau-a_i)}{\tau}}$''' - + - This gives: + - + - '''$a_i=\tau-\frac{log(2-F)}{log2}*\tau$''' + 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). 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). - + - + This gives: + '''$a_i=\tau-\frac{log(2-F)}{log2}*\tau$''' + If you have for example a generation time τ=84 minutes and the portion of cells with 4 origins is 66% the formula gives: + '''$a_i=84-\frac{log(2-0.66)}{log2}*84=48.5$''' Line 41: Line 40: [[Image:C+D_1.jpg|left|250px]] [[Image:C+D_1.jpg|left|250px]] - - - - - - - - - - - - - - - ===Determination of the C and D periods:=== ===Determination of the C and D periods:===

## Revision as of 09:25, 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,

$F=2-2^{\frac{(\tau-a_i)}{\tau}}$

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).

This gives:

$a_i=\tau-\frac{log(2-F)}{log2}*\tau$

If you have for example a generation time τ=84 minutes and the portion of cells with 4 origins is 66% the formula gives:

$a_i=84-\frac{log(2-0.66)}{log2}*84=48.5$

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