# Typical workflow for musclesyneRgies

    library(musclesyneRgies)

The package `musclesyneRgies` allows to extract muscle synergies from electromyographic (EMG) data through linear decomposition based on unsupervised machine learning. Specifically, here we adopted the non-negative matrix factorization (NMF) framework, due to the non-negative nature of EMG biosignals. However, this method can be applied to any other kind of data sets, from time series to images.

## What this package does:

- Help you to prepare the raw data sets in the correct format
- Filter and normalise raw EMG
- Extract muscle synergies
- Classify the extracted muscle synergies
- Analyse muscle synergies with linear and nonlinear metrics
- Plot any data set involved in the process
- All the above tweakable, but with sensible defaults.

## What this package does not do:

- Run the statistics for you
- All that is not specified in the list above.

## Typical workflow

A typical workflow for synergy extraction could look as follows. Please note that the next chunk will not be run, since it does not refer to real data and should be seen as a mock example to write your own scripts.

    # Load package
    library(musclesyneRgies)

    # The simplest formulation, using the native (R >= `4.1.0`) pipe operator
    # Here, the raw data set is already in the correct format and named `RAW_DATA`
    SYNS_classified <- lapply(RAW_DATA, function(x) subsetEMG(x, cy_max = 32)) |>
      lapply(filtEMG) |>
      lapply(function(x) normEMG(x, cy_max = 30, cycle_div = c(100, 100))) |>
      lapply(synsNMF) |>
      classify_kmeans()

    # Alternatively, one can save every step for subsequent inspection/analysis as follows
    # Read raw data from ASCII files
    RAW_DATA <- rawdata(header_cycles = FALSE)
    # Subset EMG to reduce the amount of data to the first 32 available cycles
    RAW_DATA <- lapply(RAW_DATA, function(x) subsetEMG(x, cy_max = 32))
    # Filter EMG
    FILT_DATA <- lapply(RAW_DATA, filtEMG)
    # Normalise filtered EMG, trim first and last cycle (32 were available, 30 will be left)
    # and divide cycle into two phases of 100 data points each
    NORM_EMG <- lapply(FILT_DATA, function(x) normEMG(x, cy_max = 30, cycle_div = c(100, 100)))
    # Extract synergies
    SYNS <- lapply(NORM_EMG, synsNMF)
    # Classify synergies with k-means
    # (the result is equivalent to the previous obtained with piping)
    SYNS_classified <- classify_kmeans(SYNS)

## How to prepare your data set

The data set must be in a specific format to fit the analysis framework. What you need (see also `?rawdata`) is a list of objects of class `EMG`, each of which is a list with two elements: - `cycles` data frame containing cycle timings, with as many columns as many cycle subdivisions are wanted - `emg` data frame containing raw EMG data in columns, first column must be time in the same units as in the cycle timings.

Here is an example of how those two elements should look like:

    data("RAW_DATA")
    head(RAW_DATA[[1]]$cycles)
    #>      V1    V2
    #> 1 1.414 2.074
    #> 2 2.448 3.115
    #> 3 3.488 4.141
    #> 4 4.515 5.168
    #> 5 5.549 6.216
    #> 6 6.596 7.249
    head(RAW_DATA[[1]]$emg)
    #>    time         ME        MA       FL        RF        VM        VL        ST
    #> 1 0.014   0.201416 -6.445313 22.65930 -0.100708 -0.906372  7.351685 -1.309204
    #> 2 0.015  -2.316284 -0.100708 24.16992  1.812744 -1.913452 -4.531860  2.920532
    #> 3 0.016  -7.351685 -7.150269 23.46497  0.704956 -5.337524  3.424072 -0.604248
    #> 4 0.017  -5.538940 -3.222656 27.49329  5.236816 -4.330444 -1.611328  0.503540
    #> 5 0.018 -10.675049 -5.740356 23.16284 -0.704956  2.014160  1.007080 -2.719116
    #> 6 0.019 -12.487793 -3.927612 19.94019  2.014160 -5.136108 -0.805664  0.000000
    #>          BF         TA         PL        GM         GL         SO
    #> 1 -7.351685 -44.311523   2.316284  8.862305  -8.358765   8.963013
    #> 2 -2.719116 -24.673462  -0.704956 10.070801 -10.775757   1.611328
    #> 3 -8.963013 -18.630981 -15.408325  8.358765  -0.704956  -5.035400
    #> 4 -5.941772   0.906372 -11.883545  5.136108  -4.330444 -10.574341
    #> 5 -3.826904 -25.680542   1.812744 -5.136108  -1.913452  -8.761597
    #> 6 -3.524780 -43.807983   6.546021 10.574341  -0.100708   0.302124

As you might have noticed, column names do not matter for the `cycles` data frame, but they do for `emg`: this is convenient for the subsequent analysis, since you don’t want to loose track of which columns refer to which muscle. Also, the first column must always contain time information, in the same format as in the `cycles` data frame (preferably in seconds).

If you feel like this is too convoluted or you prefer to work directly with ASCII files such as tab-separated txt or comma-separated csv, you can proceed as follows:

- Put your cycle-timings and raw emg ASCII files in two separate folders; please note that the file names must be the same (ideally containing the trial codes but this is up to you)
- Run the function `rawdata` which will ask you where your files are and will build the R list in the correct format for you.

Here is an example of how to use the function `rawdata`, no data is needed since the code uses the package’s built-in data set to create ASCII files that will then be re-imported through the function:

    # Load built-in data set
    data("RAW_DATA")

    # Get current working directory
    data_path <- getwd()
    data_path <- paste0(data_path, .Platform$file.sep)

    # Create two conveniently-named subfolders if they don't already exist
    # (if they exist, please make sure they're empty!)
    dir.create("cycles", showWarnings = FALSE)
    dir.create("emg", showWarnings = FALSE)

    # Export ASCII data from built-in data set to the new subfolders
    write.table(RAW_DATA[[1]]$cycles,
      file = paste0(data_path, "cycles", .Platform$file.sep, names(RAW_DATA)[1], ".txt"),
      sep = "\t", row.names = FALSE
    )
    write.table(RAW_DATA[[1]]$emg,
      file = paste0(data_path, "emg", .Platform$file.sep, names(RAW_DATA)[1], ".txt"),
      sep = "\t", row.names = FALSE
    )

    # Run the function to parse ASCII files into objects of class `EMG`
    raw_data_from_files <- rawdata(
      path_cycles = paste0(data_path, "/cycles/"),
      path_emg = paste0(data_path, "/emg/"),
      header_cycles = FALSE
    )

    # Check data in the new folders if needed before running the following (will delete!)

    # Delete folders
    unlink("cycles", recursive = TRUE)
    unlink("emg", recursive = TRUE)

## Workflow example

    # Load the built-in example data set
    data("RAW_DATA")

    # Say you recorded more cycles than those you want to consider for the analysis
    # You can subset the raw data (here we keep only 3 cycles, starting from the first)
    RAW_DATA_subset <- lapply(
      RAW_DATA,
      function(x) {
        subsetEMG(x,
          cy_max = 3,
          cy_start = 1
        )
      }
    )

    # The raw EMG data set then needs to be filtered
    # If you don't want to subset the data set, just filter it as it is
    # Here we filter the whole data set with the default parameters for locomotion:
    # - Demean EMG
    # - High-pass IIR Butterworth 4th order filter (cut-off frequency 50 Hz)
    # - Full-wave rectification (default)
    # - Low-pass IIR Butterworth 4th order filter (cut-off frequency 20 Hz)
    # - Minimum subtraction
    # - Amplitude normalisation
    filtered_EMG <- lapply(RAW_DATA, function(x) filtEMG(x))

    # If you decide to change filtering parameters, just give them as arguments:
    another_filtered_EMG <- lapply(
      RAW_DATA,
      function(x) {
        filtEMG(x,
          demean = FALSE,
          rectif = "halfwave",
          HPf = 30,
          HPo = 2,
          LPf = 10,
          LPo = 2,
          min_sub = FALSE,
          ampl_norm = FALSE
        )
      }
    )

    # Now the filtered EMG needs some time normalisation so that cycles will be comparable
    # Here we time-normalise the filtered EMG, including only three cycles and trimming first
    # and last to remove unwanted filtering effects
    # Each cycle is divided into two parts, each normalised to a length of 100 points
    norm_EMG <- lapply(
      filtered_EMG,
      function(x) {
        normEMG(x,
          trim = TRUE,
          cy_max = 3,
          cycle_div = c(100, 100)
        )
      }
    )

    # If this cycle division does not work for you, it can be changed
    # But please remember to have the same amount of columns in the cycle times as the number
    # of phases you want your cycles to be divided into
    # Here we divide each cycle with a ratio of 60%-40% and keep only two cycles (first and last
    # are still trimmed, so to have two cycles you must start with at least four available)
    another_norm_EMG <- lapply(
      filtered_EMG,
      function(x) {
        normEMG(x,
          trim = TRUE,
          cy_max = 2,
          cycle_div = c(120, 80)
        )
      }
    )

    # At this stage, synergies can be extracted
    # This is the core function to extract synergies via NMF
    SYNS <- lapply(norm_EMG, synsNMF)

    # Now synergies don't have a functional order and need classification
    # Let's load the built-in data set to have some more trial to classify
    # (clustering cannot be done on only one trial and having just a few,
    # say less than 10, won't help)
    data("SYNS")

    # Classify with k-means# and producing a plot that shows how the clustering went with:
    # - Full width at half maximum on the x-axis
    # - Centre of activity on the y-axis
    # (both referred to the motor primitives of the classified muscle synergies)
    SYNS_classified <- classify_kmeans(SYNS)

Done! Now the analysis of extracted synergies can start.