Source: Andrew J. Van Alst1, Rhiannon M. LeVeque1, Natalia Martin1, and Victor J. DiRita1
1 Department of Microbiology and Molecular Genetics, Michigan State University, East Lansing, Michigan, United States of America
Growth curves provide valuable information on bacterial growth kinetics and cell physiology. They allow us to determine how bacteria respond in variable growth conditions as well as to define optimal growth parameters for a given bacterium. An archetypal growth curve progresses through four stages of growth: lag, exponential, stationary, and death (1).
Figure 1: Bacterial growth curve. Bacteria grown in batch culture progress through four phases of growth: lag, exponential, stationary, and death. Lag phase is the period of time it takes for the bacteria to reach a physiological state capable of rapid cell growth and division. Exponential phase is the stage of fastest cell growth and division during which DNA replication, RNA transcription, and protein production all occur at a constant, rapid rate. Stationary phase is characterized by a slowing down and plateauing of bacterial growth due to nutrient limitation and/or toxic intermediate accumulation. Death phase is the stage during which cell lysis occurs as a result of severe nutrient limitation.
Lag phase is the period of time it takes for the bacteria to reach a physiological state capable of rapid cell growth and division. This lag occurs because it takes time for bacteria to adjust to their new environment. Once the necessary cellular components are generated in lag phase, bacteria enter the exponential phase of growth where DNA replication, RNA transcription, and protein production all occur at a constant, rapid rate (2). The rate of rapid cell growth and division during the exponential phase is calculated as the generation time, or doubling time, and is the fastest rate at which the bacteria can replicate under the given conditions (1). The doubling time can be used to compare different growth conditions to determine which is more favorable for bacterial growth. The exponential growth phase is the most reproducible growth condition as bacterial cell physiology is consistent throughout the entire population (3). Stationary phase follows the exponential phase where cell growth plateaus. Stationary phase is brought on due to nutrient depletion and/or accumulation of toxic intermediates. Bacterial cells continue to survive in this stage, although the rate of replication and cell division is drastically reduced. The final phase is death, where severe nutrient depletion leads to the lysing of cells. Features of the growth curve that provide the most information include the duration of lag phase, the doubling time, and the maximum cell density reached.
Quantification of bacteria in batch culture can be determined using both colony forming units and optical density measurements. Enumeration by colony forming units (CFU) provides a direct measurement of bacterial cell counts. The standard unit of measure for CFU is the number of culturable bacteria present per 1 mL of culture (CFU/mL) determined by serial dilution and spread plating techniques. For each timepoint, a 1:10 dilution series of the batch culture is performed and 100 µl of each dilution is spread plated using a cell spreader.
Figure 2. Serial dilution plating schematic. General flowthrough for dilution plating from batch culture. The batch culture is serially diluted 1:10 by transferring 1 mL of the previous dilution into the subsequent tube containing 9ml PBS. From each dilution tube, 100 µl is spread plated using a plate spreader which is an additional dilution of 1:10 as it is 1/10th the volume of 1 mL volume when calculating CFU/mL. Plates are incubated and enumerated once clonal colonies grow on the plates.
The plates are then incubated overnight and clonal colonies enumerated. The dilution plate which grew 30-300 colonies is used to calculate the CFU/mL for the given timepoint (4, 5). Stochastic variation in colony counts under 30 are subject to greater error in the calculation of CFU/mL and counting colonies greater than 300 can be underestimated due to colony crowding and overlapping. Using the dilution factor for the given plate, the CFU of the batch culture can be calculated for each timepoint.
Optical density gives an instant approximation of bacterial cell count measured using a spectrophotometer. The optical density is a measure of absorbance of light particles that pass through 1cm of culture and detected by a photodiode sensor (6). The optical density of a culture is measured in relation to a media blank and increases as bacterial density increases. For bacterial cells, a wavelength of 600 nm (OD600) is typically used when measuring optical density (4). By generating a standard curve relating colony forming units and optical density, the optical density measurement can be used to readily approximate the bacterial cell count of a batch culture. However, this relationship begins to deteriorate as early as 0.3 OD600 as cells begins to change shape and accumulate extracellular products in the media, influencing the optical density reading as it relates to CFU (7). This error becomes more pronounced during stationary and death phases.
Here, Escherichia coli is grown in Luria-Bertani (LB) broth at 37°C over the course of 30 hours (7). Both CFU/mL and optical density growth curves have been generated as well as the standard curve relating optical density to CFU.
Figure 3. Escherichia coli optical density at 600 nm wavelength (OD600) growth curve. Optical density values were taken directly from the spectrophotometer after blanking with sterile LB media. OD600 values greater than 1.0 were diluted 1:10 by combining 100 µl culture with 900 µl fresh LB, again measured, and then multiplied by 10 to obtain the OD600 value. This step is taken as the accuracy in measurement of the spectrophotometer is reduced at high cell density. From the curve, lag phase extends to around 1h of growth, transitions to exponential phase from 2h to 7h, then begins to plateau, entering stationary phase. Death phase is not a stark transition, however, as optical density gradually begins to decline after 15h.
Figure 4. Escherichia coli colony forming unit per milliliter (CFU/mL) growth curve. CFU/mL values for each timepoint were calculated from the dilution plate that contained 30-300 colonies. From the curve, lag phase extends out to around 2h of growth, transitions to exponential phase from 2h to 7h, then begins to plateau, entering stationary phase. Death phase is not a stark transition, however, as CFU/mL gradually begins to decline after 15h from a peak of 2 x 109 to approximately 5 x 108 at 30 hours.
Figure 5. Standardization curve for CFU/mL versus OD600. A linear regression can be used to relate these units so that optical density may be used to approximate bacterial cell density. Optical density can be used to provide and instant approximation of the CFU/mL of the batch culture. Here, only the first six timepoints are plotted as the relationship between OD600 and CFU/mL is less accurate beyond 1.0 OD600 as cell shape and extracellular products begin to accumulate as the bacteria enter stationary phase, which occurs shortly after reaching 1.0 OD600. Changes in cell shape and extracellular products in the media influence the optical density reading and therefore the relationship between optical density and the number of bacteria in the culture is also impacted.
The doubling time has also been determined to be 15 minutes and 19 seconds. From this data, the capacity for growth in LB for E. coli can be visualized and be used for comparison between different media or bacteria.
1. Set-up
2. Protocol
3. Data Analysis and Results
Bacteria reproduce through a process called cell division, which results in two identical daughter cells. If the growth conditions are favorable, bacterial populations will grow exponentially.
Bacterial growth curves plot the amount of bacteria in a culture as a function of time. A typical growth curve progresses through four stages: lag phase, exponential phase, stationary phase, and death phase. The lag phase is the time it takes for bacteria to reach a state where they can grow and divide quickly. After this, the bacteria transition to the exponential phase, characterized by rapid cell growth and division. The rate of exponential growth of the bacterial culture during this phase can be expressed as the doubling time, the fastest rate at which bacteria can reproduce under specific conditions. The stationary phase comes next, where bacterial cell growth plateaus and the growth and death rates even out due to environmental nutrient depletion. Finally, the bacteria enter the death phase. This is where bacterial growth declines sharply and severe nutrient depletion leads to the lysing of cells.
Two techniques can be used to quantify the amount of bacteria present in a culture and plot a growth curve. The first of these is via colony forming units, or CFUs. To obtain CFUs a one to ten series of nine dilutions is performed at regular time points. The first of these dilutions, negative one in this example, contains 9mL of PBS and 1mL of the bacterial culture. Resulting in a 1:10 dilution factor. Then, 1mL of this solution is transferred to the next tube, negative two, resulting in a 1:100 dilution factor. This process continues through the last tube, negative nine, resulting in a final dilution factor of 1:1 billion. After this, 100 microliters of each dilution is plated. The plates are then incubated and the clonal colonies are counted. The dilution plate for a given time point that grows between 30 and 300 colonies is used to calculate the CFUs per milliliter for that time point.
The second common method of measuring bacterial concentration is the optical density. The optical density of a culture can be measured instantly, in relation a media blank, with a spectrophotometer. Typically a wave length of 600 nanometers, also referred to as OD600, is used for these measurements, which increase as cell density increases. While optical density is less precise than CFUs, it is convenient because it can be obtained instantaneously and requires relatively few reagents. Both techniques can be used together to create a standard curve that more accurately approximates the bacterial cell count of a culture. In this video, you will learn how to obtain CFUs and OD600 measurements from timed serial dilutions of E. coli. Then, two growth curves using the CFU and OD600 measurements, respectively, will be plotted before being related by a standard curve.
When working with bacteria, it is important to use the appropriate personal protective equipment such as a lab coat and gloves and to observe proper aseptic technique.
After this, sterilize the work station with 70% ethanol. First, prepare the LB broth and LB solid agar media in separate autoclaveable bottles. After partially closing the caps of the bottles, sterilize the media in an autoclave set to 121 degrees Celsius for 35 minutes. Next, allow the agar media to cool in a water bath set to 50 degrees Celsius for 30 minutes. Once cooled, pour 20 to 25 mL into each Petri dish. After this, allow the plates to set for 24 hours at room temperature.
To prepare the single colony isolates that will later be used to produce a liquid bacterial culture, use previously frozen stock and proper streak plating technique to streak E. coli for isolation on LB agar. Incubate the dish at 37 degree Celsius overnight. After this, cool a flame sterilized inoculation loop on the agar before selecting a single colony from the streaked plate. Inoculate 4 mL of liquid media in a 15 mL test tube. Then, grow the E. coli at 37 degrees Celsius overnight with shaking at 210 rpm.
To set up the 1:1000 volume of bacterial culture that will be used in the growth curve, first obtain an autoclaved 500 mL Erlenmeyer flask. Then, use a 50 mL serological pipette to transfer 100 mL of sterile media to the flask. Next, label nine 15 ml test tubes consecutively as one through nine. These numbers correspond to the dilution factor that will be used to calculate the colony forming unit, or CFU. Then, add 9 mL of 1X PBS to each tube. After this, label the prepared agar plates with the corresponding time points and dilution factors that will be grown. In this example with E. coli, after the starting time point, time points are taken once every hour. Using the previously prepared overnight liquid E. coli culture, inoculate the media in the autoclave 500 mL Erlenmeyer flask with 1:1000 volume of culture. Swirl the media to evenly distribute the bacteria.
After blanking a spectrophotometer, clean the cuvette with a lint-free wipe. Next, dispense 1 mL of the culture into the cuvette and place it into the spectrophotometer to obtain the optical density of the culture at time point zero. Then, grow the E. coli at 37 degrees Celsius with shaking at 210 rpm. At each time point after time point zero, withdraw another 1 mL of bacterial culture from the flask and repeat the optical density measurement. If the optical density reading is greater than 1.0, dilute 100 microliters of bacterial culture with 900 microliters of fresh media and then measure the optical density once more. This value can be multiplied by 10 for the OD 600 measurement.
To obtain the colony forming unit measurement for each time point, withdraw an additional 1 mL of bacterial culture from the flask at each time point. Dispense the bacterial culture into the negative one test tube and vortex to mix. Then, perform the dilution series by first transferring 1 mL from the negative one tube into the negative two tube and vortex to mix. Transfer 1 mL from the negative two tube into the negative three tube and vortex to mix. Continue this serial transfer down all the dilution tubes to the negative nine tube. Dispense 100 microliters of cell suspension onto the correspondingly labeled plate for each dilution. For every dilution, sterilize a cell spreader in ethanol, pass it through a Bunsen burner flame, and cool it by touching the surface of the agar away from the inoculate. Then, use the cell spreader to spread the cell suspension until the surface of the agar plate becomes dry. Incubate the plates upside down at 37 degrees Celsius. Once visible colonies arise, count the number of bacterial colonies on each plate. Record these values and their associated dilution factors for each plate at each time point.
To create an OD 600 growth curve, after ensuring all the data points are entered correctly into a table, select all of the time points and their corresponding data. To generate a colony forming unit growth curve plot, choose the dilution plate where the colony counts fell within the range 30 to 300 bacteria for each time point. Multiply the colony count number by the dilution factor, and then by ten. This is because the 100 microliters spread is considered an additional 1:10 dilution when calculating colony forming units per milliliter. After this, plot the colony forming units versus time on a semi-log scale.
These plots produced with OD 600 and CFU measurements, respectively, can provide valuable information on E. coli growth kinetics. The optical density and colony forming units can be related, so that CFUs per milliliter can be estimated from OD 600 measurements, saving time and materials in future experiments.
To do this, plot the colony forming units against the optical density on a linear scale for OD 600 readings less than or equal to 1. 0. After this, generate a linear regression trend line in Y = MX + B format, where M is the slope and B is the y-intercept. Right click on the data points and select add trend line and linear. Then, check the box to display the equation on the chart and display the R squared value on the chart. The R squared value is the statistical measurement of how closely the data matched the fitted regression line. In this example, the first 6 time points are plotted with OD 600 on the x axis and CFUs per milliliter on the y axis. In future experiments with the same growth conditions, these slope and y-intercept values can be plugged into this equation to estimate CFUs from OD 600 readings. Next, look at the colony forming unit growth curve plot. During the exponential phase, identify two time points with the steepest slope between them. To calculate the doubling time, first calculate the change in time between the selected time points. Then, calculate the change in generations using the equation shown here. Here, lower case b is the number of bacteria at time point three and upper case B is the number of bacteria at time point two. Finally, divide the change in time by the change in generations. In this example, the doubling time is 0. 26 hours or 15 minutes and 19 seconds. Comparing doubling times across different experimental treatment allows us to identify the best growth conditions for a certain bacterial species. Therefore, the treatment with the lowest doubling time will be most optimal of the conditions tested.
Plots of colony forming units and optical density are two ways to visualize growth kinetics. By determining the relationship between CFU/mL and OD600, the optical density plot also provides an estimate of CFU/mL over time. Conditions that result in the shortest doubling time are considered optimal for growth of the given bacteria.
Growth curves are valuable for understanding the growth kinetics and physiology of bacteria. They allow us to determine how bacteria respond in variable growth conditions as well as define the optimal growth parameters for a given bacterium. Colony forming unit and optical density plots both contain valuable information depicting the duration of lag phase, maximum cell density reached, and allowing for the calculation of bacterial doubling time. Growth curves also allow for comparison between different bacteria under the same growth conditions. Additionally, optical density provides a means of standardizing initial inoculums, enhancing consistency in other experiments.
Determining which approach to use when designing a growth curve experiment requires consideration. As the preferred method for generating growth curves, colony forming unit plots more accurately reflect the viable cell counts in batch culture. Colony forming unit plots also allow for measuring bacterial growth in conditions that would otherwise interfere with an optical density measurement. However, it is a more time consuming process, requiring extensive use of reagents, and must be performed manually. Optical density plots are less accurate and provide only an estimate of the colony forming units, requiring a standard curve to be generated for each unique bacteria. Optical density is primarily used for its convenience as it is far less time consuming and does not require many reagents to perform. What is most attractive to optical density, is that spectrophotometric incubators can automatically generate growth curves, vastly increasing the number of culture conditions that can be tested at once and eliminating the need to constantly attend the culture.
Bacteria reproduce through a process called cell division, which results in two identical daughter cells. If the growth conditions are favorable, bacterial populations will grow exponentially.
Bacterial growth curves plot the amount of bacteria in a culture as a function of time. A typical growth curve progresses through four stages: lag phase, exponential phase, stationary phase, and death phase. The lag phase is the time it takes for bacteria to reach a state where they can grow and divide quickly. After this, the bacteria transition to the exponential phase, characterized by rapid cell growth and division. The rate of exponential growth of the bacterial culture during this phase can be expressed as the doubling time, the fastest rate at which bacteria can reproduce under specific conditions. The stationary phase comes next, where bacterial cell growth plateaus and the growth and death rates even out due to environmental nutrient depletion. Finally, the bacteria enter the death phase. This is where bacterial growth declines sharply and severe nutrient depletion leads to the lysing of cells.
Two techniques can be used to quantify the amount of bacteria present in a culture and plot a growth curve. The first of these is via colony forming units, or CFUs. To obtain CFUs a one to ten series of nine dilutions is performed at regular time points. The first of these dilutions, negative one in this example, contains 9mL of PBS and 1mL of the bacterial culture. Resulting in a 1:10 dilution factor. Then, 1mL of this solution is transferred to the next tube, negative two, resulting in a 1:100 dilution factor. This process continues through the last tube, negative nine, resulting in a final dilution factor of 1:1 billion. After this, 100 microliters of each dilution is plated. The plates are then incubated and the clonal colonies are counted. The dilution plate for a given time point that grows between 30 and 300 colonies is used to calculate the CFUs per milliliter for that time point.
The second common method of measuring bacterial concentration is the optical density. The optical density of a culture can be measured instantly, in relation a media blank, with a spectrophotometer. Typically a wave length of 600 nanometers, also referred to as OD600, is used for these measurements, which increase as cell density increases. While optical density is less precise than CFUs, it is convenient because it can be obtained instantaneously and requires relatively few reagents. Both techniques can be used together to create a standard curve that more accurately approximates the bacterial cell count of a culture. In this video, you will learn how to obtain CFUs and OD600 measurements from timed serial dilutions of E. coli. Then, two growth curves using the CFU and OD600 measurements, respectively, will be plotted before being related by a standard curve.
When working with bacteria, it is important to use the appropriate personal protective equipment such as a lab coat and gloves and to observe proper aseptic technique.
After this, sterilize the work station with 70% ethanol. First, prepare the LB broth and LB solid agar media in separate autoclaveable bottles. After partially closing the caps of the bottles, sterilize the media in an autoclave set to 121 degrees Celsius for 35 minutes. Next, allow the agar media to cool in a water bath set to 50 degrees Celsius for 30 minutes. Once cooled, pour 20 to 25 mL into each Petri dish. After this, allow the plates to set for 24 hours at room temperature.
To prepare the single colony isolates that will later be used to produce a liquid bacterial culture, use previously frozen stock and proper streak plating technique to streak E. coli for isolation on LB agar. Incubate the dish at 37 degree Celsius overnight. After this, cool a flame sterilized inoculation loop on the agar before selecting a single colony from the streaked plate. Inoculate 4 mL of liquid media in a 15 mL test tube. Then, grow the E. coli at 37 degrees Celsius overnight with shaking at 210 rpm.
To set up the 1:1000 volume of bacterial culture that will be used in the growth curve, first obtain an autoclaved 500 mL Erlenmeyer flask. Then, use a 50 mL serological pipette to transfer 100 mL of sterile media to the flask. Next, label nine 15 ml test tubes consecutively as one through nine. These numbers correspond to the dilution factor that will be used to calculate the colony forming unit, or CFU. Then, add 9 mL of 1X PBS to each tube. After this, label the prepared agar plates with the corresponding time points and dilution factors that will be grown. In this example with E. coli, after the starting time point, time points are taken once every hour. Using the previously prepared overnight liquid E. coli culture, inoculate the media in the autoclave 500 mL Erlenmeyer flask with 1:1000 volume of culture. Swirl the media to evenly distribute the bacteria.
After blanking a spectrophotometer, clean the cuvette with a lint-free wipe. Next, dispense 1 mL of the culture into the cuvette and place it into the spectrophotometer to obtain the optical density of the culture at time point zero. Then, grow the E. coli at 37 degrees Celsius with shaking at 210 rpm. At each time point after time point zero, withdraw another 1 mL of bacterial culture from the flask and repeat the optical density measurement. If the optical density reading is greater than 1.0, dilute 100 microliters of bacterial culture with 900 microliters of fresh media and then measure the optical density once more. This value can be multiplied by 10 for the OD 600 measurement.
To obtain the colony forming unit measurement for each time point, withdraw an additional 1 mL of bacterial culture from the flask at each time point. Dispense the bacterial culture into the negative one test tube and vortex to mix. Then, perform the dilution series by first transferring 1 mL from the negative one tube into the negative two tube and vortex to mix. Transfer 1 mL from the negative two tube into the negative three tube and vortex to mix. Continue this serial transfer down all the dilution tubes to the negative nine tube. Dispense 100 microliters of cell suspension onto the correspondingly labeled plate for each dilution. For every dilution, sterilize a cell spreader in ethanol, pass it through a Bunsen burner flame, and cool it by touching the surface of the agar away from the inoculate. Then, use the cell spreader to spread the cell suspension until the surface of the agar plate becomes dry. Incubate the plates upside down at 37 degrees Celsius. Once visible colonies arise, count the number of bacterial colonies on each plate. Record these values and their associated dilution factors for each plate at each time point.
To create an OD 600 growth curve, after ensuring all the data points are entered correctly into a table, select all of the time points and their corresponding data. To generate a colony forming unit growth curve plot, choose the dilution plate where the colony counts fell within the range 30 to 300 bacteria for each time point. Multiply the colony count number by the dilution factor, and then by ten. This is because the 100 microliters spread is considered an additional 1:10 dilution when calculating colony forming units per milliliter. After this, plot the colony forming units versus time on a semi-log scale.
These plots produced with OD 600 and CFU measurements, respectively, can provide valuable information on E. coli growth kinetics. The optical density and colony forming units can be related, so that CFUs per milliliter can be estimated from OD 600 measurements, saving time and materials in future experiments.
To do this, plot the colony forming units against the optical density on a linear scale for OD 600 readings less than or equal to 1. 0. After this, generate a linear regression trend line in Y = MX + B format, where M is the slope and B is the y-intercept. Right click on the data points and select add trend line and linear. Then, check the box to display the equation on the chart and display the R squared value on the chart. The R squared value is the statistical measurement of how closely the data matched the fitted regression line. In this example, the first 6 time points are plotted with OD 600 on the x axis and CFUs per milliliter on the y axis. In future experiments with the same growth conditions, these slope and y-intercept values can be plugged into this equation to estimate CFUs from OD 600 readings. Next, look at the colony forming unit growth curve plot. During the exponential phase, identify two time points with the steepest slope between them. To calculate the doubling time, first calculate the change in time between the selected time points. Then, calculate the change in generations using the equation shown here. Here, lower case b is the number of bacteria at time point three and upper case B is the number of bacteria at time point two. Finally, divide the change in time by the change in generations. In this example, the doubling time is 0. 26 hours or 15 minutes and 19 seconds. Comparing doubling times across different experimental treatment allows us to identify the best growth conditions for a certain bacterial species. Therefore, the treatment with the lowest doubling time will be most optimal of the conditions tested.