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The notion of doubling time dates to interest on loans in Babylonian mathematics. Clay tablets from circa 2000 BCE include the exercise "Given an interest rate of 1/60 per month (no compounding), come the doubling time." This yields an annual interest rate of 12/60 = 20%, and hence a doubling time of 100% growth/20% growth per year = 5 years.
At the start of his experiment he named the primary culture "phase one". Phase two is defined as the period when cells are proliferating; Hayflick called this the time of "luxuriant growth". After months of doubling the cells eventually reach phase three, a phenomenon he named "senescence", where cell replication rate slows before halting ...
Cell growth refers to an increase in the total mass of a cell, including both cytoplasmic, nuclear and organelle volume. [1] Cell growth occurs when the overall rate of cellular biosynthesis (production of biomolecules or anabolism) is greater than the overall rate of cellular degradation (the destruction of biomolecules via the proteasome, lysosome or autophagy, or catabolism).
If growth is not limited, doubling will continue at a constant rate so both the number of cells and the rate of population increase doubles with each consecutive time period. For this type of exponential growth, plotting the natural logarithm of cell number against time produces a straight line.
The doubling time (t d) of a population is the time required for the population to grow to twice its size. [24] We can calculate the doubling time of a geometric population using the equation: N t = λ t N 0 by exploiting our knowledge of the fact that the population (N) is twice its size (2N) after the doubling time. [20]
A small number of cells are used to inoculate parallel cultures in a non-selective medium. [11] The cultures are grown to saturation to obtain equal cell densities. The cells are plated onto selective media to obtain the number of mutants (r). Dilutions are plated onto rich medium to calculate the total number of viable cells ( N t). The number ...
The average doubling time is 19 to 50 hours. 1 mM sodium pyruvate, penicillin (100 units/ml) and streptomycin (100 μg/ml) are also commonly added to inhibit bacterial contamination. Cultures should be maintained at cell densities in the range 2-9x10 5 cells/ml at 37 °C, 5% CO 2. Cells are non-adherent. [5]
Therefore, the doubling time t d becomes a function of dilution rate D in steady state: t d = ln 2 D {\displaystyle t_{d}={\frac {\ln 2}{D}}} Each microorganism growing on a particular substrate has a maximal specific growth rate μ max (the rate of growth observed if growth is limited by internal constraints rather than external nutrients).