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Convenience functions for analysis of lactate-intensity curves.

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lactate-thresholds

A Python package to analyze lactate values and corresponding thresholds. Typically useful in a context when used to determine workout zones.

Installation

pip install lactate_thresholds
# OR
uv add lactate_thresholds
# OR 
# install command for whatever package manager you use

Basic usage

You will need a dataframe that holds your measurement values. Let's start by importing an example dataframe.

import lactate_thresholds as lt
from lactate_thresholds.data import example_data_cycling

df = example_data_cycling()
df
   step  length  intensity  rel_power  heart_rate  lactate_4  lactate_8  cadence  rpe
0     1       8        100        1.3         113        1.0        1.0      102    6
1     2       8        140        1.8         126        1.0        1.0      100    7
2     3       8        180        2.3         137        0.9        0.9      100   10
3     4       8        220        2.8         151        1.0        1.0       98   12
4     5       8        260        3.3         168        1.9        1.9       98   16
5     6       8        300        3.8         181        3.3        3.8       94   18
6     7       8        340        4.3         190        6.4        7.5       92   19

Note that the only cols required are step, length, intensity, heart_rate and lactate. If your columns are not correctly named (in this example the lactate column is missing), you can specify the correct name in the following steps.

results = lt.determine(df, lactate_col='lactate_8')

The above determine function is a convenience function that runs (in the following order):

  • lactate_thresholds.clean_data(df)
  • lactate_thresholds.interpolate(df_clean)
  • lactate_thresholds.methods.determine_ltp(df_clean, df_interpolated)
  • lactate_thresholds.methods.determine_mod_dmax(df_clean, df_interpolated)
  • lactate_thresholds.methods.determine_loglog(df_clean, df_interpolated)
  • lactate_thresholds.methods.determine_obla(df_interpolated, 2)
  • lactate_thresholds.methods.determine_obla(df_interpolated, 4)
  • lactate_thresholds.methods.determine_baseline(df_clean, df_interpolated, 0)
  • lactate_thresholds.types.LactateThresholdResults.calc_lt1_lt2_estimates()

The returned object is an instance of LactateThresholdResults which looks more or less like:

class LactateThresholdResults(BaseModel):
    clean_data: pd.DataFrame
    interpolated_data: pd.DataFrame
    ltp1: LactateTurningPoint | None = None
    ltp2: LactateTurningPoint | None = None
    mod_dmax: ModDMax | None = None
    loglog: LogLog | None = None
    baseline: BaseLinePlus | None = None
    obla_2: OBLA | None = None
    obla_4: OBLA | None = None
    lt1_estimate: ThresholdEstimate | None = None
    lt2_estimate: ThresholdEstimate | None = None

Plotting

Some basic plotting functionalities implemented in Altair are present, most notably:

  • lactate_thresholds.plot.lactate_intensity_plot
  • lactate_thresholds.plot.heart_rate_intensity_plot

For example:

lactate intensity plot

Zone calculation

Basic zone calculations (yet to be verified) are available at:

  • lactate_thresholds.zones.seiler_3_zones
  • lactate_thresholds.zones.seiler_5_zones
  • lactate_thresholds.zones.friel_7_zones_running

Streamlit app

There is a minimal streamlit app built in that you can use to interactively analyse your data.

The app is available through a script. Run it as follows (to be tested after first deploy to pypi):

pipx install lactate_thresholds
lt_app

# OR
uv tool install lactate_thresholds
lt_app

Note that a Dockerfile is also available that runs the streamlit app.

streamlit app

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