fermy 0.3

Fermy is a toolkit to empower fermentation data analysis from Pandas DataFrame.

Fermy is a toolkit to empower fermentation data analysis independent of any SCADA. Input data have to be converted in Python Pandas DataFrame with datetime or deltatime converted into float as index. Fermy is composed of two sub-modules:

• pandasfermy add to Pandas methods to compute analysis on fermentation data with growth rate and lagtime calculation e.g. DataFrame.fermgrowth()

• plotlyfermy add to Pandas methods to plot fermentation data with dedicated kinds of charts like Control Chart or Multi-Yaxis Chart e.g. DataFrame.fccplot().

Fermy also includes drivers for laboratory devices like scales (Sartorius Entris or Entris II) and peristaltic pumps (Watson Marlow pump 120U connect to a computer through a Labjack T7) as new classes: PompWatMarlo & BalanceEntris. To acces to those drivers just make “import fermy.driverslabtool” and then “fermy.driverslabtool.pump.<ClassName>” or “fermy.driverslabtool.scale.<ClassName>”.

The project is hosted on https://gitlab.com/

To install it, please simply used “pip install fermy”

To use it, please simply make:

import fermy

and then use them as any other methods of Pandas:

DataFrame.<methodname>()

Methods from pandasfermy

• fermgrowth: Function to compute maximal growth rate and lagtime. It is based on a mix of two algorithms describes in Toussaint et al. 2006 and Hall et al. 2014.

  • Input: A DataFrame with only data considered as proxy of biomass can be used. DataFrame index has to be a float corresponding to a delta time (in hours) or pandas.DatetimeIndex

  • Parameters:

    • usemax: allow users by use chose between normalization methods: average of the first five points (by default) or percentage of the maximal value of dataset

    • percentofmax: allow users to change the percentage of maximal value used

  • Output: return a DataFrame with lagtime and maximal growth rate

• fermmultiaux: Function to compute growths rates and lagtimes for multiauxies It is based on a mix of two algorithms describes in the following: Toussaint et al. 2006 and Hall et al. 2014. Whereas growth rates are found with local max computation.

  • Input: A DataFrame with only data considered as proxy of biomass can be used. DataFrame index has to be a float corresponding to a delta time (in hours) or pandas.DatetimeIndex

  • Parameters:

    • usemax: allow users by use chose between normalization methods: average of the first five points or percentage of the maximal value of dataset

    • percentofmax: allow users to change the percentage of maximal value used

  • Output: return a DataFrame with lagtimes and growth rates

• multirename: Function to rename from a dictionary in forme {"newname" : (possibleoldname1, possibleoldname2)} and rename columns in a DataFrame like possiblename1 ==> new name.

  • Input: DataFrame, Dictionary with key as new column name and values list of values possibly used in the Dataframe as columns

  • Output: return a DataFrame with new columns names

Methods from plotlyfermy

• fccplot: Function to compute and plot a simple (and pretty) Control Chart with Plotly express.

  • Input: Data will be values of the column named variableofinterest and index of the DataFrame as plot index

  • Parameters:

    • path: is provided the graph will be saved in this location.

    • dicorename: allow users to custom names of axis with {“old name” : “desired name”}.

    • forcepower: allow users to force scientific notation 10^n for the y-axis and control limits.

    • addccviol: allow users to add a new column to original data with CC rules check-in.

    • colorby: allow users to color regarding column value

  • Output: return a DataFrame like data with only Control Chart violations data

• fplotsimple: Plot all columns of a Dataframe as Y and index for x with Plotly express

• fplotmultiy: Plot all columns of a Dataframe with autogenerated multi-y-axis and index for x.

  • Input: DataFrame

  • Parameters:

    • path: is provided the graph will be saved in this location

    • yspace: allow users to custom space between yaxis

    • sizep: allow users to custom font size

    • groupby: used character to build group for plotting e.g. groupby=”-” for pH-Biroeactor1 => group pH and subdataset bioreactor1

  • Output: No output only graph

Usage and code demonstration

• First we create fake datasets: fakedfcc for control chart and fakedfferm for fermentation

  import numpy as np
  import pandas as pd
  import math
  
  # fake process follow-up data
  np.random.seed(2)
  datanorm = np.random.normal(size = 100, loc = 50)
  datanormpower = datanorm*10**5
  datanorm[51] = 56  # add uggly data
  
  fakedfcc = pd.DataFrame(data={"num" : datanorm, "numpower" : datanormpower}, columns=["num", "numpower"])
  
  # fake fermentation data
  time = [time/60 for time in range(0, 60*6, 5)]  # time 5 minutes steps in hours for 6 hours
  pH1 = np.random.normal(size=len(time),loc=6.5,scale=0.005)
  pH2 = np.random.normal(size=len(time),loc=7.2,scale=0.005)
  lagtime = time[20]  # 1.66 h
  biomass1 = [0.5]*20+[0.5*math.exp(0.5*(time-lagtime)) for time in time[20:]]
  biomass2 = [0.5*math.exp(0.5*(time)) for time in time]
  biomass3 = [0.5*math.exp(0.25*(time)) for time in time]
  temp1 = np.random.normal(size=len(time),loc=37,scale=0.5)
  temp2 = np.random.normal(size=len(time),loc=37,scale=0.2)
  
  fakedfferm = pd.DataFrame(data={"pH-1" : pH1,
                                  "pH-2" : pH2,
                                  "biomass-1" : biomass1,
                                  "biomass-2" : biomass2,
                                  "biomass-3" : biomass3,
                                  "temperature-1" : temp1,
                                  "temperature-2" : temp2},
                          columns=["pH-1", "pH-2", "biomass-1", "biomass-2", "biomass-3", "temperature-1", "temperature-2"],
                          index=time)

• What our fake data looks like?

1. fakedfcc

	num	numpower
0	49.5832	4.95832e+06
1	49.9437	4.99437e+06
2	47.8638	4.78638e+06
3	51.6403	5.16403e+06
4	48.2066	4.82066e+06

2. fakedfferm

	pH-1	pH-2	biomass-1	biomass-2	biomass-3	temperature-1	temperature-2
0	6.50581	7.20183	0.5	0.5	0.5	36.9201	36.9473
0.0833333	6.50193	7.20387	0.5	0.521273	0.510526	37.2745	36.8645
0.166667	6.49433	7.19818	0.5	0.543452	0.521273	36.6908	37.0654
0.25	6.50217	7.19562	0.5	0.566574	0.532247	37.1894	36.7089
0.333333	6.49848	7.20198	0.5	0.59068	0.543452	37.2566	36.9257

• Demo of fermy

  import fermy
  
  # Control Chart Demo
  fakedfcc.fccplot("num")
  fakedfcc.fccplot("numpower", forcepower=True)
  
  # Fermentation plot Demo
  fakedfferm.fplotmultiy(groupby="-")
  
  # Calculation on fermentation data
  biomassproxy = fakedfferm.iloc[:,2:5]  # selection of biomass related columns
  biomassproxy.fermgrowth()

• Examples of Fermy outputs

	maximal_growth_rate_per_h	lagtime_h	maximal_growth_rate_time_h
biomass-1	0.5	1.67	2.58
biomass-2	0.5	0.17	3.83
biomass-3	0.25	0.17	5.25

Growth Rate Algorithm Description

1. Normalization of data with two user-defined ways. First by divided all data points by a percentage (5 % percent by default) of the maximum value of the distribution. This option may be used if initial data are very noisy (e.g. Biomass proxy coming from a lab scale). Second method divide all data points by the average of the first five points (like in Toussaint et al. 2006). To be more robust regarding next steps each values under 1 is replaced by 1.

2. Then natural logarithm is applied to the normalized data like in Toussaint et al. 2006

3. A smoothing procedure is applied to the corrected biomass proxy by averaging each point with its eight closest neighbors like in Toussaint et al. 2006.

4. The slope of each point was obtained by calculating the slope between the two fourth neighboring points on each side like in Toussaint et al. 2006.

5. The exponential growth rate area (EGRA) is defined where slopes are equal to or greater than 95% of the maximum slope value like in Hall et al 2014.

6. Finally, linear regression is calculated in the EGRA and the slope of the regression gives the maximum (specific) growth rate and the intercept gives Lag time.

Biological signification

• The maximum (specific) growth rate (commonly express in per hours) is the growth rate during logarithmic growth phase (in batch culture) corresponding to the maximum value for the specific condition.

• Lag time (commonly express in hours) is the duration of the phase where growth is absent at the beginning of the culture.

Bibliography

• Hall B.G., Acar H., Nandipati A. and Barlow M. Growth rates made easy. Molecular Biology and Evolution, 31 (1):232-238, 2014.

• Toussaint H., Levasseur G., Gervais-Bird J.,Wellinger R. J., Elela S. A., and Conconi A. A high-throughput method to measure the sensitivity of yeast cells to genotoxic agents in liquid cultures. Mutation Research/Genetic Toxicology and Environmental Mutagenesis, 606 (1-2):92-105, jul 2006.