# Growth Curve.

## Presentation on theme: "Growth Curve."— Presentation transcript:

Growth Curve

OBJECTIVES Identify the four phases of the growth curve Calculate generation time Make use of the growth curve

Growth an orderly increase in cell number cell division（细胞分裂）
a developmental program superimposed upon this increase cell differentiation （细胞分化）

Binary Fission 20, 21, 22, 23, 24, 25, 26…… Parent cell Daughter cell
1, 2, 4, 8, 16, 32, 64…… 20, 21, 22, 23, 24, 25, 26……

Lag phase making new enzymes in response to new medium

Log phase exponential growth – Desired for production of products – Most sensitive to environment

Stationary phase – nutrients becoming limiting or waste products becoming toxic – secondary metabolism – death rate = division rate

Death phase death exceeds division

N2 N1 t

The generation time of a culture is defined as

Generation Time (minutes)
Bacterium Medium Generation Time (minutes) Escherichia coli Glucose-salts 17 Bacillus  megaterium Sucrose-salts 25 Streptococcus lactis Milk 26 Lactose broth 48 Staphylococcus aureus Heart infusion broth 27-30 Lactobacillus acidophilus 66-87 Rhizobium japonicum Mannitol-salts-yeast extract Mycobacterium tuberculosis Synthetic Treponema pallidum Rabbit testes 1980

Calculation of Generation Time
G = t/n G ---generation time (time for the cells to divide) t---time (interval in hours or minutes) n---number of generations (number of times the cell population doubles during the time interval)

N1 = number of bacteria at the beginning of a time interval
N2 = number of bacteria at the end of the time interval N2 = N1 × 2n (This equation is an expression of growth by binary fission) Solve for n log N2 = log N1 + nlog2 n = log N2 - log N1            log2 n = log N2 - log N1            0.301 n = 3.3 log N2/ N1 Solve for G G = t/n G =     t            log N2/ N1

A bacterium with a generation time of 0
A bacterium with a generation time of 0.5 hours will grow from a population of 103 to 109 cells, in about how many hours? A. 25 B. 3 C. 40 D. 20 E. 10 Solve for G G = t / n G =       t                    log N2/ N1

Bacteria from_______ phase can be used to screen medicine
Use of the Growth curve Bacteria from_______ phase can served as “seed” to another culture medium effectively, to decrease the lag phase Bacteria from_______ phase have the most typical morph－ological, biochemical and physiological features Bacteria from_______ phase can be used to screen medicine

If at time 0 you had 10 million cells and two hours later had 40 million cells, what is the generation time?