Difference between revisions of "Team:Marburg/Measurement"

Most of our data were obtained by measuring the expression of reporters in platereader experiments. In the first attempts, we failed to obtain reproducible data by applying workflows that are commonly used for E. coli. We realized that a new chassis requires overthinking existing procedures and we decided to establish a workflow for platereader experiments tailored to V. natriegens which respects species specific properties, primarily its unbeaten doubling time.

Many platereader workflows for E. coli start with growing overnight cultures of certain samples, measuring the OD₆₀₀ and dilute all samples in a 96 well plate to a defined OD₆₀₀ (e.g. 0.05). Depending on the number of samples, pipetting the test plate can easily take up to 45 minutes.
When first following this approach with V. natriegens, we realized that a different workflow is needed for the worlds fastest growing organism. We tested how much V. natriegens grows during the preparation of a full 96 well plate. We set up an experiment using a stationary culture of V. natriegens with a plasmid weakly expressing lux - to achieve realistic conditions - and diluted this culture 1 : 100 in a 96 well plate with one pipetting step taking 30 seconds. The result of this experiment can be seen in figure 1 A.
The data show an obvious trend towards higher OD₆₀₀ for wells that were pipetted first. Seemingly, V. natriegens is able to recover from stationary phase and undergo almost one cell division in 45 minutes at room temperature. Please note that performing this experiment with a culture in the exponential phase, as described in some E. coli protocols, would most likely result in an even stronger trend.
With this in mind, we managed to establish a workflow that omits measuring and independently diluting individual wells.
We tested to cultivate our precultures - inoculated from glycerol stocks - directly in 96 well plates and incubated this plate for five to six hours in a platereader or shaking incubator. For V. natriegens, this time frame is sufficient for all cultures to reliably reach stationary phase which equals an overnight culture for E. coli. The cultures are then diluted in two steps: 1:50 and 1:40, finally resulting in a 1:2000 dilution of the preculture. Compared to the commonly used workflows for E. coli, our approach does not consider the OD₆₀₀ of individual wells but instead dilutes all cultures by the same factor.
The OD₆₀₀ after 1:50 dilution of the 96 well plate is shown in figure 1 B. Despite not calculating dilutions for individual wells, the range of values is explicitly smaller and additionally no positional bias can be observed.

A

B

Moreover, we realized that inoculating with a low cell number is advantageous when working with V. natriegens. This prolongs the exponential phase, the period in which most relevant data are acquired. A 1:2000 dilution results in a cell density much lower than the inoculum used in most E. coli experiments.The subsequent, kinetic measurement can be completed in as less as five to six hours.

Besides the experimental workflow, we established an approach for fast and accurate data analysis. From a mathematical point of view, constant production and constant degradation rates result in a steady state level of a molecule. This is visualized in figure 2. While the absolute degradation increases depending on the concentration of a molecule (e.g. a reporter protein), synthesis from a constitutive promoter remains constant, independent of the concentration. In the context of our reporter experiments, the concentration represents the number of reporter per cell. The intersection of both graphs yield the steady state concentration because degradation and synthesis rates are balanced.

In most of our experiments we analyze the lux operon which is constantly expressed. From a mathematical point of view, the dilution of a molecule by expanding the volume equals a degradation. For a growing bacterial culture, this dilution is caused by growth and cell divisions. We assume the dilution rate to be constant throughout the exponential growth phase of a culture. Consequently, the ratio of signal/OD₆₀₀ is expected to be constant in this time window.

With this in mind, we aimed to create an algorithm identifying the exponential growth phase and calculating the signal to OD₆₀₀ ratio. In our first experiments we tried to identify a point in time at which all cultures grow exponentially, and failed.
We were not able to obtain reproducible data for two reasons. Firstly, cultures grow differently, depending on the starting concentration and fitness differences caused by varying test constructs and expression strengths. Secondly, individual measurements are highly variable (we saw this especially for OD₆₀₀ measurements). Therefore performing calculations with a single value is highly susceptible to outliers.

We solved both issues by developing a Matlab script that identifies the exponential phase and includes a range of seven measuring points for each individual well. The culture is assumed to be in the mid exponential phase at an OD₆₀₀ of 0.2. Three time points (5 min intervals), each before and after the culture has first reached 0.2, are taken. Then the mean of all signal to OD₆₀₀ ratios is calculated. Through this calculation, a single value is assigned to each well representing the strength of reporter expression in the exponential phase. All samples were measured in four technical replicates in three subsequent independent experiments.
Consequently, every result (e.g. promoter strength) is, in total, the mean of 84 measurements. This high number of raw data leads to a high degree of reproducibility and, as we believe, to highly accurate characterization data.

The choice of 0.2 as the OD₆₀₀ threshold and the range of three time points was not randomly chosen but selected after calculating the mean CV for combinations of OD₆₀₀ thresholds and ranges. We tested OD₆₀₀ thresholds ranging from 0.1 to 0.6 with a step size of 0.01 and ranges around this data point from 0 to 10. Please note that the range is applied bidirectionally, meaning that a range of 10 considers 10 data points before and after a well has reached the OD₆₀₀ threshold resulting in averaging 21 time points.

This 3D par plot allows for a visual estimation of advantageous combinations of OD₆₀₀ threshold and range of data points. Seemingly, using a rather low OD threshold (0.15 - 0.25) and a medium range size (2 - 5) yield a plateau of low coefficient of variation (CV) values as low as 10 %. In contrast, high OD thresholds (<3) and high ranges (<5) result in an explicit increase in CV data up to 38 %.
As discussed previously, expression data can be assumed to be constant throughout the exponential growth phase. To our experience, the cultures leave the fully exponential phase around OD₆₀₀ = 0.5 - 0.6 resulting in a divergence from the previously constant luminescence/OD ratio which leads to a loss of reproducibility for high OD₆₀₀ thresholds. Slightly higher CV values can also be observed for very low OD thresholds. We noted that the OD₆₀₀ fluctuates significantly when measuring very low cell concentrations, presumably due to technical inaccuracies. This effect can drastically effect data points for low OD₆₀₀ values (<0.1). Generally, we consider using a high range useful because this increases the number of data points that are averaged, thus decreasing the impact of single outliers. However, for a fast growing organism like V. natriegens, the time of a culture with a OD₆₀₀ high enough to yield reliable measurement results but low enough to be exponentially growing is limited. Therefore an excessive range leads to inclusion of either too low or too high data points, which again reduces reproducibility.
We consider this analysis as a foundation for the selection of the OD₆₀₀ threshold 0.2 and a range of 3 that was used in the analysis of all our platereader experiments. This enabled us to achieve high reproducibility of our data from three subsequent, independent experiments.