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Growth Curve

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

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**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）

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**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……

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**一条典型的生长曲线至少可以分为迟缓期，对数期，稳定期和衰亡期等四个生长时期。**

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Lag phase making new enzymes in response to new medium

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

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

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Death phase death exceeds division

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N2 N1 t

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**The generation time of a culture is defined as**

世代时间 The generation time of a culture is defined as A. the time it takes a cell to divide. B. the time it takes the culture to begin growth. C. the interval of time between the end of log phase to the stationary phase of growth. D. the period of time it took for the organism to appear on earth. E. how long the culture has been growing.

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**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

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**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)

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**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

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**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

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**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

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

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ABE 572 Bioprocess Engineering Lecture 1: Cell Growth.

ABE 572 Bioprocess Engineering Lecture 1: Cell Growth.

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