User guide for executing CytOpT on HIPC data

Paul Freulon, Jérémie Bigot, Kalidou BA, Boris Hejblum

2022-02-09

Introduction

CytOpT is a supervised method that directly estimates the cell proportions in a flow-cytometry data set by using a source gating as its input and relies on regularized optimal transport.

Analysis of HIPC data

As an illustrative example, we analyze here the flow cytometry data from the T-cell panel of the Human Immunology Project Consortium (HIPC) publicly available on ImmuneSpace Gottardo et al. [2014].

An HIPC data set has the following structure (split into 2 files):

Above, xx denotes the center where the data analysis was performed, and y denotes the patient and the replicate of the biological sample in question.

Data load

library(CytOpT)
data("HIPC_Stanford")

Here are the first few lines of the flow-cytometry measurements from patient 1228 replicate 1A:

knitr::kable(head(HIPC_Stanford_1228_1A))
CCR7 CD4 CD45RA CD3 HLADR CD38 CD8
717.3339 1146.5768 3094.811 2526.265 1333.1118 1510.164 3203.711
681.8582 1398.1466 3168.901 2394.297 918.4464 1306.356 3056.621
402.3024 920.2601 3440.265 2221.533 1585.4507 1086.020 2728.252
1509.6527 1492.2483 3143.388 2592.564 1116.4272 1577.515 3191.382
1365.9507 659.6762 3382.406 2126.847 1317.9880 1277.266 3079.729
1388.9562 1213.0846 3486.772 2450.046 1103.4678 1474.890 3200.576

The manual clustering of these data into 10 cell populations (CD8 Effector, CD8 Naive, CD8 Central Memory, CD8 Effector Memory, CD8 Activated, CD4 Effector, CD4 Naive, CD4 Central Memory, CD4 Effector Memory, CD4 Activated) can be accessed from the HIPC_Stanford_1228_1A_labels object.

We will use the manual gating from patient 1228 replicate 1A as our source proportions to infer proportions for patient 1369 replicate 1A.

Computation of the benchmark class proportions for target data

Because in this example, we know the true proportions in the target data set HIPC_Stanford_1369_1A, we can assess the gap between the estimate form CytOpt and the cellular proportions from the reference manual gating. For this purpose, we compute those manual proportions with:

gold_standard_manual_prop <- c(table(HIPC_Stanford_1369_1A_labels)/length(HIPC_Stanford_1369_1A_labels))

CytOpT

Optimization

set.seed(123)
res <- CytOpT(X_s = HIPC_Stanford_1228_1A, X_t = HIPC_Stanford_1369_1A, 
              Lab_source = HIPC_Stanford_1228_1A_labels,
              theta_true = gold_standard_manual_prop,
              method='both', monitoring = TRUE)
#> Running Descent-ascent optimization...
#> Done in 1.1 mins
#> Running MinMax optimization...
#> Done in 15.2 secs

Results

The results from CytOpt for both optimization algorithms are:

summary(res)
#> Estimation of cell proportions with Descent-Ascent and MinMax swapping from CytOpt:
#>                     Gold_standard Descent_ascent      MinMax
#> CD8 Effector          0.017004001    0.052364999 0.045657219
#> CD8 Naive             0.128736173    0.086210769 0.102414966
#> CD8 Central Memory    0.048481996    0.036818260 0.038026528
#> CD8 Effector Memory   0.057484114    0.064841660 0.072192722
#> CD8 Activated         0.009090374    0.017701245 0.008766140
#> CD4 Effector          0.002324076    0.008051896 0.008304633
#> CD4 Naive             0.331460344    0.342359929 0.351420976
#> CD4 Central Memory    0.281713344    0.209007941 0.204257964
#> CD4 Effector Memory   0.102082843    0.168264983 0.163335122
#> CD4 Activated         0.021622735    0.014378317 0.005623730
#> 
#> Final Kullback-Leibler divergences:
#>  Descent-Ascent MinMax swapping 
#>      0.07071936      0.06321548 
#> Number of iterations:
#>  Descent-Ascent MinMax swapping 
#>            5000           10000

Some visualizations are provided by the plot() method:

plot(res)
#> Plotting KL divergence for iterations 10 to 1000 while there were at least 5000 iterations performed for each method.

Performance evaluation

Concordance between the manual gating gold-standard and CytOpt estimation can be graphically diagnosed with Bland-Altman plots:

Bland_Altman(res$proportions)


The methods implemented in the CytOpt package are detailed in the following article:

Paul Freulon, Jérémie Bigot, Boris P. Hejblum. CytOpT: Optimal Transport with Domain Adaptation for Interpreting Flow Cytometry data https://arxiv.org/abs/2006.09003

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