From 8fd098364f846edc49c64d84298f1cb1afec6800 Mon Sep 17 00:00:00 2001
From: Laurent Modolo <laurent.modolo@ens-lyon.fr>
Date: Sun, 17 Sep 2023 17:31:46 +0200
Subject: [PATCH] add presentation

---
 doc/2023_09_18_presentation.qmd               | 375 +++++++
 .../quarto-ext/pointer/_extension.yml         |  15 +
 .../quarto-ext/pointer/pointer.css            |   1 +
 doc/_extensions/quarto-ext/pointer/pointer.js |   1 +
 doc/img/clustering_OO_bayse_OO.png            | Bin 0 -> 278508 bytes
 doc/img/clustering_OO_naive.png               | Bin 0 -> 97529 bytes
 doc/img/clustering_XO_bayse_XO.png            | Bin 0 -> 210870 bytes
 doc/img/clustering_XO_naive.png               | Bin 0 -> 118773 bytes
 doc/img/clustering_XY_bayse_XO.png            | Bin 0 -> 217225 bytes
 doc/img/clustering_XY_bayse_XY.png            | Bin 0 -> 222787 bytes
 doc/img/clustering_XY_naive.png               | Bin 0 -> 131173 bytes
 doc/img/clustering_XY_naive_BIC.png           | Bin 0 -> 45968 bytes
 doc/img/clustering_XY_naive_OO.png            | Bin 0 -> 86550 bytes
 doc/img/clustering_XY_naive_XO.png            | Bin 0 -> 140357 bytes
 doc/img/clustering_XY_naive_XY.png            | Bin 0 -> 119762 bytes
 doc/img/clustering_XY_naive_loglik.png        | Bin 0 -> 48287 bytes
 doc/img/count_problem.png                     | Bin 0 -> 125366 bytes
 doc/img/flowchart.png                         | Bin 0 -> 117512 bytes
 doc/img/model_OO.png                          | Bin 0 -> 105409 bytes
 doc/img/model_XO.png                          | Bin 0 -> 116217 bytes
 doc/img/model_XY.png                          | Bin 0 -> 165206 bytes
 doc/img/science_figure.png                    | Bin 0 -> 194676 bytes
 doc/img/sufixtree.svg                         | 452 ++++++++
 doc/img/sufixtree_a.png                       | Bin 0 -> 58213 bytes
 doc/img/sufixtree_a.svg                       | 477 +++++++++
 doc/img/sufixtree_b.png                       | Bin 0 -> 60119 bytes
 doc/img/sufixtree_b.svg                       | 510 +++++++++
 doc/img/sufixtree_c.png                       | Bin 0 -> 46759 bytes
 doc/img/sufixtree_c.svg                       | 373 +++++++
 doc/presentation.html                         | 991 ++++++++++++++++++
 30 files changed, 3195 insertions(+)
 create mode 100644 doc/2023_09_18_presentation.qmd
 create mode 100644 doc/_extensions/quarto-ext/pointer/_extension.yml
 create mode 100644 doc/_extensions/quarto-ext/pointer/pointer.css
 create mode 100644 doc/_extensions/quarto-ext/pointer/pointer.js
 create mode 100644 doc/img/clustering_OO_bayse_OO.png
 create mode 100644 doc/img/clustering_OO_naive.png
 create mode 100644 doc/img/clustering_XO_bayse_XO.png
 create mode 100644 doc/img/clustering_XO_naive.png
 create mode 100644 doc/img/clustering_XY_bayse_XO.png
 create mode 100644 doc/img/clustering_XY_bayse_XY.png
 create mode 100644 doc/img/clustering_XY_naive.png
 create mode 100644 doc/img/clustering_XY_naive_BIC.png
 create mode 100644 doc/img/clustering_XY_naive_OO.png
 create mode 100644 doc/img/clustering_XY_naive_XO.png
 create mode 100644 doc/img/clustering_XY_naive_XY.png
 create mode 100644 doc/img/clustering_XY_naive_loglik.png
 create mode 100644 doc/img/count_problem.png
 create mode 100644 doc/img/flowchart.png
 create mode 100644 doc/img/model_OO.png
 create mode 100644 doc/img/model_XO.png
 create mode 100644 doc/img/model_XY.png
 create mode 100644 doc/img/science_figure.png
 create mode 100644 doc/img/sufixtree.svg
 create mode 100644 doc/img/sufixtree_a.png
 create mode 100644 doc/img/sufixtree_a.svg
 create mode 100644 doc/img/sufixtree_b.png
 create mode 100644 doc/img/sufixtree_b.svg
 create mode 100644 doc/img/sufixtree_c.png
 create mode 100644 doc/img/sufixtree_c.svg
 create mode 100644 doc/presentation.html

diff --git a/doc/2023_09_18_presentation.qmd b/doc/2023_09_18_presentation.qmd
new file mode 100644
index 0000000..fca8e36
--- /dev/null
+++ b/doc/2023_09_18_presentation.qmd
@@ -0,0 +1,375 @@
+---
+title: "Kmer diff"
+author: "laurent modolo"
+format: 
+    revealjs:
+        transition: none
+        format:
+        highlight-style: monokai
+        theme: white
+        footer: "laurent.modolo@ens-lyon.fr"
+        slide-number: c/t
+        fontsize: 22pt
+revealjs-plugins:
+  - pointer
+---
+
+## Background
+
+The Delattre team’s studies, *Mesorhabditis worms*, some species of which present
+atypical reproduction mechanisms. 
+
+In a previous paper: *Males as somatic investment in a parthenogenetic nematode* [DOI: 10.1126/science.aau0099](https://doi.org/10.1126/science.aau0099),
+we characterized contigs of a *de novo* genome assembly of *M. belaris* as
+
+
+:::: {.columns}
+::: {.column width="40%"}
+- <span style="color:blue;">Autosomal</span> chromosomes
+- <span style="color:red;">X</span> chromosome
+- <span style="color:green;">Y</span> chromosome
+:::
+
+::: {.column width="60%"}
+![](./img/science_figure.png){width=350px}
+:::
+
+::::
+
+## Goal
+
+From raw sequencing data of male and female individuals, we want to identify $k$-mers corresponding to :
+
+- <span style="color:blue;">Autosomal</span> chromosomes
+- <span style="color:red;">X</span> chromosome, if present
+- <span style="color:green;">Y</span> chromosome, if present
+
+<div style="text-align: center">**We can study the chromosomal system without an assembly**</div>
+
+## Phylogeny
+
+![](./img/phylogeny.png)
+
+## Kmer-diff
+
+A nextflow pipeline to analyze the $k$-mer content of fastq files
+
+1. preprocess the fastq files
+2. count the $k$-mers of each file
+3. merge the counts to get a table of male and female $k$-mers counts
+3. test the sexual models
+4. identify the <span style="color:blue;">A</span>,<span style="color:red;">X</span> and <span style="color:green;">Y</span> $k$-mers
+
+## Kmer-diff
+
+![](./img/flowchart.png)
+
+## Preprocessing
+
+**preprocess the fastq files**
+
+Important for the clustering analysis:
+
+- subsample to have the same number of reads between male and female
+
+Important for the $k$-mer counting
+
+- split the fastq files into manageable size files ($10ˆ6$ reads per files)
+
+## $k$-mer count
+
+[fastqkmer](https://github.com/angelovangel/fastkmers)
+
+```
+fastkmers -k 12 file.fastq > file.csv
+```
+
+Run a **sliding window** of size $12$ by step of $1$ along the reads counting all the occurrences of each $k$-mers
+
+We have the letters: $A,C,T,G$ and $N$
+
+<div style="text-align: center">$244,140,625$ possible $k$-mers</div>
+
+We split the fastq files into $\sim$ $1400$ subfiles of $10^6$ reads.
+
+## Merging the $k$-mers
+
+$\sim$ $1400$ splits of $10^6$ reads $\rightarrow$ $1400$ csv files
+
+:::: {.columns}
+::: {.column width="50%"}
+
+- large number of $k$-mers
+- Unordered
+- not the same $k$-mers a present in every files
+
+[mergekmer](https://gitbio.ens-lyon.fr/LBMC/Delattre/mergekmer) a small rust program that builds a **suffix tree** of the $k$-mer
+:::
+
+::: {.column width="50%"}
+
+![](./img/sufixtree_a.png)
+
+:::
+::::
+
+## Merging the $k$-mers
+
+[mergekmer](https://gitbio.ens-lyon.fr/LBMC/Delattre/mergekmer) a small rust program that build a **suffix tree** of the $k$-mer
+
+:::: {.columns}
+::: {.column width="50%"}
+
+```
+merge fastkmers output
+
+Usage: mergekmer [OPTIONS] --output <OUTPUT>
+
+Options:
+  -c, --csv <CSV>...     list of csv files
+  -o, --output <OUTPUT>  merged csv file
+  -c, --collate          collate csv file
+  -h, --help             Print help
+  -V, --version          Print version
+```
+
+Each leaf of the tree contains the number of $k$-mers
+
+The tree traversal is easy to compute with a recursive function
+
+**we can merge the counts of a given sex for each specie**
+
+:::
+::: {.column width="50%"}
+![](./img/sufixtree_b.png)
+:::
+::::
+
+## Merging the $k$-mers
+
+:::: {.columns}
+::: {.column width="50%"}
+
+```
+merge fastkmers output
+
+Usage: mergekmer [OPTIONS] --output <OUTPUT>
+
+Options:
+  -c, --csv <CSV>...     list of csv files
+  -o, --output <OUTPUT>  merged csv file
+  -c, --collate          collate csv file
+  -h, --help             Print help
+  -V, --version          Print version
+```
+
+In the `--collate` version each leave contains a list of the count of the $k$-mers in the female or the male of a specie.
+
+**we can fuse the counts of the male and female for each specie**
+
+
+:::
+::: {.column width="50%"}
+![](./img/sufixtree_c.png)
+:::
+::::
+
+## Test the sexual model
+
+**We have the following possible models**
+
+
+:::: {.columns}
+::: {.column width="33%"}
+
+- <span style="color:red;">X</span><span style="color:green;">Y</span> system
+
+![](./img/model_XY.png)
+    
+:::
+::: {.column width="33%"}
+
+- <span style="color:red;">X</span>O system
+
+![](./img/model_XO.png)
+:::
+::: {.column width="33%"}
+
+- OO system
+
+![](./img/model_OO.png)
+
+:::
+::::
+
+## Test the sexual model
+
+:::: {.columns}
+::: {.column width="33%"}
+
+- <span style="color:red;">X</span><span style="color:green;">Y</span> system
+
+![](./img/clustering_XY_naive.png)
+
+:::
+::: {.column width="33%"}
+
+- <span style="color:red;">X</span>O system
+
+![](./img/clustering_XO_naive.png)
+:::
+::: {.column width="33%"}
+
+- OO system
+
+![](./img/clustering_OO_naive.png)
+
+:::
+::::
+
+- A cluster with mean male $=$ mean female
+- A cluster above the diagonal
+- A cluster below the diagonal
+
+
+## Test the sexual model
+
+:::: {.columns}
+::: {.column width="25%"}
+
+**data**
+
+![](./img/model_XY.png)
+
+:::
+::: {.column width="25%"}
+
+**XY model**
+
+![](./img/clustering_XY_naive_XY.png)
+
+:::
+::: {.column width="25%"}
+
+**XO model**
+
+![](./img/clustering_XY_naive_XO.png)
+:::
+::: {.column width="25%"}
+
+**OO model**
+
+![](./img/clustering_XY_naive_OO.png)
+
+:::
+::::
+:::: {.columns}
+::: {.column width="50%"}
+
+
+Bayesian information criterion (BIC)
+
+![](./img/clustering_XY_naive_BIC.png)
+
+:::
+::: {.column width="50%"}
+
+Loglikelihood
+
+![](./img/clustering_XY_naive_loglik.png)
+
+:::
+::::
+
+
+## identify the <span style="color:blue;">A</span>,<span style="color:red;">X</span> and <span style="color:green;">Y</span> $k$-mers
+
+:::: {.columns}
+::: {.column width="50%"}
+
+![](./img/clustering_XY_naive_XY.png)
+
+:::
+::: {.column width="50%"}
+
+- Can be used to compare model
+- Not sensitive enough
+- Cannot be used to classify individual $k$-mers
+
+:::
+::::
+
+## identify the <span style="color:blue;">A</span>,<span style="color:red;">X</span> and <span style="color:green;">Y</span> $k$-mers
+
+
+:::: {.columns}
+::: {.column width="75%"}
+![](./img/clustering_XY_bayse_XY.png)
+
+:::
+::: {.column width="25%"}
+
+- Can choose the prior for each cluster (mean and shape)
+- Can choose the prior for the proportion between <span style="color:blue;">A</span>,<span style="color:red;">X</span> and <span style="color:green;">Y</span>
+- Can choose the weight of each prior compared to the data
+
+:::
+::::
+
+## identify the <span style="color:blue;">A</span>,<span style="color:red;">X</span> and <span style="color:green;">Y</span> $k$-mers
+
+
+:::: {.columns}
+::: {.column width="75%"}
+![](./img/clustering_XY_bayse_XO.png)
+
+:::
+::: {.column width="25%"}
+
+- Can choose the prior for each cluster (mean and shape)
+- Can choose the prior for the proportion between <span style="color:blue;">A</span>,<span style="color:red;">X</span> and <span style="color:green;">Y</span>
+- Can choose the weight of each prior compared to the data
+
+:::
+::::
+
+## identify the <span style="color:blue;">A</span>,<span style="color:red;">X</span> and <span style="color:green;">Y</span> $k$-mers
+
+:::: {.columns}
+::: {.column width="75%"}
+![](./img/clustering_XO_bayse_XO.png)
+
+:::
+::: {.column width="25%"}
+
+- Can choose the prior for each cluster (mean and shape)
+- Can choose the prior for the proportion between <span style="color:blue;">A</span>,<span style="color:red;">X</span> and <span style="color:green;">Y</span>
+- Can choose the weight of each prior compared to the data
+
+:::
+::::
+
+## Count problem
+
+:::: {.columns}
+::: {.column width="75%"}
+![](./img/count_problem.png)
+
+:::
+::: {.column width="25%"}
+
+- The coverage is not the same between the male and the female
+
+:::
+::::
+
+## Kmer-diff
+
+A nextflow pipeline to analyze the $k$-mer content of fastq files
+
+1. preprocess the fastq files
+    - **subsample to have the same number of reads between male and female**
+2. count the $k$-mers of each file
+3. merge the counts to get a table of male and female $k$-mers counts
+3. test the sexual models
+4. identify the <span style="color:blue;">A</span>,<span style="color:red;">X</span> and <span style="color:green;">Y</span> $k$-mers
\ No newline at end of file
diff --git a/doc/_extensions/quarto-ext/pointer/_extension.yml b/doc/_extensions/quarto-ext/pointer/_extension.yml
new file mode 100644
index 0000000..13b9df4
--- /dev/null
+++ b/doc/_extensions/quarto-ext/pointer/_extension.yml
@@ -0,0 +1,15 @@
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+author: Posit Software, PBC
+version: 0.1.0
+quarto-required: ">=1.2.198"
+contributes:
+  revealjs-plugins:
+    - name: RevealPointer
+      script: pointer.js
+      stylesheet: pointer.css
+      config:
+        pointer:
+          key: "q"
+          color: "red"
+          pointerSize: 16
+          alwaysVisible: false
diff --git a/doc/_extensions/quarto-ext/pointer/pointer.css b/doc/_extensions/quarto-ext/pointer/pointer.css
new file mode 100644
index 0000000..bd55511
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new file mode 100644
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+  }
+
+  .callout .callout-body-container {
+    flex-grow: 1;
+  }
+
+  .callout.callout-style-simple .callout-body {
+    font-size: 1rem;
+    font-weight: 400;
+  }
+
+  .callout.callout-style-default .callout-body {
+    font-size: 0.9rem;
+    font-weight: 400;
+  }
+
+  .callout.callout-titled.callout-style-simple .callout-body {
+    margin-top: 0.2em;
+  }
+
+  .callout:not(.callout-titled) .callout-body {
+      display: flex;
+  }
+
+  .callout:not(.no-icon).callout-titled.callout-style-simple .callout-content {
+    padding-left: 1.6em;
+  }
+
+  .callout.callout-titled .callout-header {
+    padding-top: 0.2em;
+    margin-bottom: -0.2em;
+  }
+
+  .callout.callout-titled .callout-title  p {
+    margin-top: 0.5em;
+    margin-bottom: 0.5em;
+  }
+    
+  .callout.callout-titled.callout-style-simple .callout-content  p {
+    margin-top: 0;
+  }
+
+  .callout.callout-titled.callout-style-default .callout-content  p {
+    margin-top: 0.7em;
+  }
+
+  .callout.callout-style-simple div.callout-title {
+    border-bottom: none;
+    font-size: .9rem;
+    font-weight: 600;
+    opacity: 75%;
+  }
+
+  .callout.callout-style-default  div.callout-title {
+    border-bottom: none;
+    font-weight: 600;
+    opacity: 85%;
+    font-size: 0.9rem;
+    padding-left: 0.5em;
+    padding-right: 0.5em;
+  }
+
+  .callout.callout-style-default div.callout-content {
+    padding-left: 0.5em;
+    padding-right: 0.5em;
+  }
+
+  .callout.callout-style-simple .callout-icon::before {
+    height: 1rem;
+    width: 1rem;
+    display: inline-block;
+    content: "";
+    background-repeat: no-repeat;
+    background-size: 1rem 1rem;
+  }
+
+  .callout.callout-style-default .callout-icon::before {
+    height: 0.9rem;
+    width: 0.9rem;
+    display: inline-block;
+    content: "";
+    background-repeat: no-repeat;
+    background-size: 0.9rem 0.9rem;
+  }
+
+  .callout-title {
+    display: flex
+  }
+    
+  .callout-icon::before {
+    margin-top: 1rem;
+    padding-right: .5rem;
+  }
+
+  .callout.no-icon::before {
+    display: none !important;
+  }
+
+  .callout.callout-titled .callout-body > .callout-content > :last-child {
+    margin-bottom: 0.5rem;
+  }
+
+  .callout.callout-titled .callout-icon::before {
+    margin-top: .5rem;
+    padding-right: .5rem;
+  }
+
+  .callout:not(.callout-titled) .callout-icon::before {
+    margin-top: 1rem;
+    padding-right: .5rem;
+  }
+
+  /* Callout Types */
+
+  div.callout-note {
+    border-left-color: #4582ec !important;
+  }
+
+  div.callout-note .callout-icon::before {
+    background-image: url('data:image/png;base64,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');
+  }
+
+  div.callout-note.callout-style-default .callout-title {
+    background-color: #dae6fb
+  }
+
+  div.callout-important {
+    border-left-color: #d9534f !important;
+  }
+
+  div.callout-important .callout-icon::before {
+    background-image: url('data:image/png;base64,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');
+  }
+
+  div.callout-important.callout-style-default .callout-title {
+    background-color: #f7dddc
+  }
+
+  div.callout-warning {
+    border-left-color: #f0ad4e !important;
+  }
+
+  div.callout-warning .callout-icon::before {
+    background-image: url('data:image/png;base64,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');
+  }
+
+  div.callout-warning.callout-style-default .callout-title {
+    background-color: #fcefdc
+  }
+
+  div.callout-tip {
+    border-left-color: #02b875 !important;
+  }
+
+  div.callout-tip .callout-icon::before {
+    background-image: url('data:image/png;base64,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');
+  }
+
+  div.callout-tip.callout-style-default .callout-title {
+    background-color: #ccf1e3
+  }
+
+  div.callout-caution {
+    border-left-color: #fd7e14 !important;
+  }
+
+  div.callout-caution .callout-icon::before {
+    background-image: url('data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAYAAABzenr0AAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAAAIKADAAQAAAABAAAAIAAAAACshmLzAAACV0lEQVRYCdVWzWoUQRCuqp2ICBLJXgITZL1EfQDBW/bkzUMUD7klD+ATSHBEfAIfQO+iXsWDxJsHL96EHAwhgzlkg8nBg25XWb0zIb0zs9muYYWkoKeru+vn664fBqElyZNuyh167NXJ8Ut8McjbmEraKHkd7uAnAFku+VWdb3reSmRV8PKSLfZ0Gjn3a6Xlcq9YGb6tADjn+lUfTXtVmaZ1KwBIvFI11rRXlWlatwIAAv2asaa9mlB9wwygiDX26qaw1yYPzFXg2N1GgG0FMF8Oj+VIx7E/03lHx8UhvYyNZLN7BwSPgekXXLribw7w5/c8EF+DBK5idvDVYtEEwMeYefjjLAdEyQ3M9nfOkgnPTEkYU+sxMq0BxNR6jExrAI31H1rzvLEfRIdgcv1XEdj6QTQAS2wtstEALLG1yEZ3QhH6oDX7ExBSFEkFINXH98NTrme5IOaaA7kIfiu2L8A3qhH9zRbukdCqdsA98TdElyeMe5BI8Rs2xHRIsoTSSVFfCFCWGPn9XHb4cdobRIWABNf0add9jakDjQJpJ1bTXOJXnnRXHRf+dNL1ZV1MBRCXhMbaHqGI1JkKIL7+i8uffuP6wVQAzO7+qVEbF6NbS0LJureYcWXUUhH66nLR5rYmva+2tjRFtojkM2aD76HEGAD3tPtKM309FJg5j/K682ywcWJ3PASCcycH/22u+Bh7Aa0ehM2Fu4z0SAE81HF9RkB21c5bEn4Dzw+/qNOyXr3DCTQDMBOdhi4nAgiFDGCinIa2owCEChUwD8qzd03PG+qdW/4fDzjUMcE1ZpIAAAAASUVORK5CYII=');
+  }
+
+  div.callout-caution.callout-style-default .callout-title {
+    background-color: #ffe5d0
+  }
+
+  </style>
+  <style type="text/css">
+    .reveal div.sourceCode {
+      margin: 0;
+      overflow: auto;
+    }
+    .reveal div.hanging-indent {
+      margin-left: 1em;
+      text-indent: -1em;
+    }
+    .reveal .slide:not(.center) {
+      height: 100%;
+    }
+    .reveal .slide.scrollable {
+      overflow-y: auto;
+    }
+    .reveal .footnotes {
+      height: 100%;
+      overflow-y: auto;
+    }
+    .reveal .slide .absolute {
+      position: absolute;
+      display: block;
+    }
+    .reveal .footnotes ol {
+      counter-reset: ol;
+      list-style-type: none; 
+      margin-left: 0;
+    }
+    .reveal .footnotes ol li:before {
+      counter-increment: ol;
+      content: counter(ol) ". "; 
+    }
+    .reveal .footnotes ol li > p:first-child {
+      display: inline-block;
+    }
+    .reveal .slide ul,
+    .reveal .slide ol {
+      margin-bottom: 0.5em;
+    }
+    .reveal .slide ul li,
+    .reveal .slide ol li {
+      margin-top: 0.4em;
+      margin-bottom: 0.2em;
+    }
+    .reveal .slide ul[role="tablist"] li {
+      margin-bottom: 0;
+    }
+    .reveal .slide ul li > *:first-child,
+    .reveal .slide ol li > *:first-child {
+      margin-block-start: 0;
+    }
+    .reveal .slide ul li > *:last-child,
+    .reveal .slide ol li > *:last-child {
+      margin-block-end: 0;
+    }
+    .reveal .slide .columns:nth-child(3) {
+      margin-block-start: 0.8em;
+    }
+    .reveal blockquote {
+      box-shadow: none;
+    }
+    .reveal .tippy-content>* {
+      margin-top: 0.2em;
+      margin-bottom: 0.7em;
+    }
+    .reveal .tippy-content>*:last-child {
+      margin-bottom: 0.2em;
+    }
+    .reveal .slide > img.stretch.quarto-figure-center,
+    .reveal .slide > img.r-stretch.quarto-figure-center {
+      display: block;
+      margin-left: auto;
+      margin-right: auto; 
+    }
+    .reveal .slide > img.stretch.quarto-figure-left,
+    .reveal .slide > img.r-stretch.quarto-figure-left  {
+      display: block;
+      margin-left: 0;
+      margin-right: auto; 
+    }
+    .reveal .slide > img.stretch.quarto-figure-right,
+    .reveal .slide > img.r-stretch.quarto-figure-right  {
+      display: block;
+      margin-left: auto;
+      margin-right: 0; 
+    }
+  </style>
+</head>
+<body class="quarto-light">
+  <div class="reveal">
+    <div class="slides">
+
+<section id="title-slide" class="quarto-title-block center">
+  <h1 class="title">Kmer diff</h1>
+
+<div class="quarto-title-authors">
+<div class="quarto-title-author">
+<div class="quarto-title-author-name">
+laurent modolo 
+</div>
+</div>
+</div>
+
+</section>
+<section id="background" class="slide level2">
+<h2>Background</h2>
+<p>The Delattre teams studies, <em>Mesorhabditis worms</em>, some species of which present atypical reproduction mechanisms.</p>
+<p>In a previous paper: <em>Males as somatic investment in a parthenogenetic nematode</em> <a href="https://doi.org/10.1126/science.aau0099">DOI: 10.1126/science.aau0099</a>, we caracterized contigs of a <em>de novo</em> genome assembly of <em>M. belaris</em> as</p>
+<div class="columns">
+<div class="column" style="width:40%;">
+<ul>
+<li><span style="color:blue;">Autosomal</span> chromosomes</li>
+<li><span style="color:red;">X</span> chromosome</li>
+<li><span style="color:green;">Y</span> chromosome</li>
+</ul>
+</div><div class="column" style="width:60%;">
+<p><img data-src="./img/science_figure.png" width="350"></p>
+</div>
+</div>
+</section>
+<section id="goal" class="slide level2">
+<h2>Goal</h2>
+<p>From raw sequencing data of male and female individuals, we want to identify <span class="math inline">\(k\)</span>-mers corresponding to :</p>
+<ul>
+<li><span style="color:blue;">Autosomal</span> chromosomes</li>
+<li><span style="color:red;">X</span> chromosome, if present</li>
+<li><span style="color:green;">Y</span> chromosome, if present</li>
+</ul>
+<div style="text-align: center">
+<strong>We can study the chromosomal system without an assembly</strong>
+</div>
+</section>
+<section id="phylogeny" class="slide level2">
+<h2>Phylogeny</h2>
+
+<img data-src="./img/phylogeny.png" class="r-stretch"></section>
+<section id="kmer-diff" class="slide level2">
+<h2>Kmer-diff</h2>
+<p>A nextflow pipeline to analyse the <span class="math inline">\(k\)</span>-mer content of fastq files</p>
+<ol type="1">
+<li>preprocess the fastq files</li>
+<li>count the <span class="math inline">\(k\)</span>-mers of each file</li>
+<li>merge the counts to get a table of male and female <span class="math inline">\(k\)</span>-mers counts</li>
+<li>test the sexual models</li>
+<li>identify the <span style="color:blue;">A</span>,<span style="color:red;">X</span> and <span style="color:green;">Y</span> <span class="math inline">\(k\)</span>-mers</li>
+</ol>
+</section>
+<section id="kmer-diff-1" class="slide level2">
+<h2>Kmer-diff</h2>
+
+<img data-src="./img/flowchart.png" class="r-stretch"></section>
+<section id="preprocessing" class="slide level2">
+<h2>Preprocessing</h2>
+<p><strong>preprocess the fastq files</strong></p>
+<p>Important for the clustering analysis:</p>
+<ul>
+<li>subsample to have the same number of reads between male and female</li>
+</ul>
+<p>Important for the <span class="math inline">\(k\)</span>-mer counting</p>
+<ul>
+<li>split the fastq files into managable size files (<span class="math inline">\(10ˆ6\)</span> reads per files)</li>
+</ul>
+</section>
+<section id="k-mer-count" class="slide level2">
+<h2><span class="math inline">\(k\)</span>-mer count</h2>
+<p><a href="https://github.com/angelovangel/fastkmers">fastqkmer</a></p>
+<pre><code>fastkmers -k 12 file.fastq &gt; file.csv</code></pre>
+<p>Run a <strong>sliding windows</strong> of size <span class="math inline">\(12\)</span> by step of <span class="math inline">\(1\)</span> along the reads counting all the occurrences of each <span class="math inline">\(k\)</span>-mers</p>
+<p>We have the letters: <span class="math inline">\(A,C,T,G\)</span> and <span class="math inline">\(N\)</span></p>
+<div style="text-align: center">
+<span class="math inline">\(244,140,625\)</span> possible <span class="math inline">\(k\)</span>-mers
+</div>
+<p>We split the fastq files into <span class="math inline">\(\sim\)</span> <span class="math inline">\(1400\)</span> subfiles of <span class="math inline">\(10^6\)</span> reads.</p>
+</section>
+<section id="merging-the-k-mers" class="slide level2">
+<h2>Merging the <span class="math inline">\(k\)</span>-mers</h2>
+<p><span class="math inline">\(\sim\)</span> <span class="math inline">\(1400\)</span> splits of <span class="math inline">\(10^6\)</span> reads <span class="math inline">\(\rightarrow\)</span> <span class="math inline">\(1400\)</span> csv files</p>
+<div class="columns">
+<div class="column" style="width:50%;">
+<ul>
+<li>large number of <span class="math inline">\(k\)</span>-mers</li>
+<li>Unordered</li>
+<li>not the same <span class="math inline">\(k\)</span>-mers a present in every files</li>
+</ul>
+<p><a href="https://gitbio.ens-lyon.fr/LBMC/Delattre/mergekmer">mergekmer</a> a small rust programme that build a <strong>sufix-tree</strong> of the <span class="math inline">\(k\)</span>-mer</p>
+</div><div class="column" style="width:50%;">
+<p><img data-src="./img/sufixtree_a.png"></p>
+</div>
+</div>
+</section>
+<section id="merging-the-k-mers-1" class="slide level2">
+<h2>Merging the <span class="math inline">\(k\)</span>-mers</h2>
+<p><a href="https://gitbio.ens-lyon.fr/LBMC/Delattre/mergekmer">mergekmer</a> a small rust programme that build a <strong>sufix-tree</strong> of the <span class="math inline">\(k\)</span>-mer</p>
+<div class="columns">
+<div class="column" style="width:50%;">
+<pre><code>merge fastkmers output
+
+Usage: mergekmer [OPTIONS] --output &lt;OUTPUT&gt;
+
+Options:
+  -c, --csv &lt;CSV&gt;...     list of csv files
+  -o, --output &lt;OUTPUT&gt;  merged csv file
+  -c, --collate          collate csv file
+  -h, --help             Print help
+  -V, --version          Print version</code></pre>
+<p>Each leafs of the tree contains the number of <span class="math inline">\(k\)</span>-mers</p>
+<p>The tree traversal is easy to compute with a recursive function</p>
+<p><strong>we can merge the counts of a given sex for each specie</strong></p>
+</div><div class="column" style="width:50%;">
+<p><img data-src="./img/sufixtree_b.png"></p>
+</div>
+</div>
+</section>
+<section id="merging-the-k-mers-2" class="slide level2">
+<h2>Merging the <span class="math inline">\(k\)</span>-mers</h2>
+<div class="columns">
+<div class="column" style="width:50%;">
+<pre><code>merge fastkmers output
+
+Usage: mergekmer [OPTIONS] --output &lt;OUTPUT&gt;
+
+Options:
+  -c, --csv &lt;CSV&gt;...     list of csv files
+  -o, --output &lt;OUTPUT&gt;  merged csv file
+  -c, --collate          collate csv file
+  -h, --help             Print help
+  -V, --version          Print version</code></pre>
+<p>In the <code>--collate</code> version earch leave contain a list of the count of the <span class="math inline">\(k\)</span>-mers in the female or male of a specie</p>
+<p><strong>we can fuse the counts of the male and female for each specie</strong></p>
+</div><div class="column" style="width:50%;">
+<p><img data-src="./img/sufixtree_c.png"></p>
+</div>
+</div>
+</section>
+<section id="test-the-sexual-model" class="slide level2">
+<h2>Test the sexual model</h2>
+<p><strong>We have the following possible models</strong></p>
+<div class="columns">
+<div class="column" style="width:33%;">
+<ul>
+<li><span style="color:red;">X</span><span style="color:green;">Y</span> system</li>
+</ul>
+<p><img data-src="./img/model_XY.png"></p>
+</div><div class="column" style="width:33%;">
+<ul>
+<li><span style="color:red;">X</span>O system</li>
+</ul>
+<p><img data-src="./img/model_XO.png"></p>
+</div><div class="column" style="width:33%;">
+<ul>
+<li>OO system</li>
+</ul>
+<p><img data-src="./img/model_OO.png"></p>
+</div>
+</div>
+</section>
+<section id="test-the-sexual-model-1" class="slide level2">
+<h2>Test the sexual model</h2>
+<div class="columns">
+<div class="column" style="width:33%;">
+<ul>
+<li><span style="color:red;">X</span><span style="color:green;">Y</span> system</li>
+</ul>
+<p><img data-src="./img/clustering_XY_naive.png"></p>
+</div><div class="column" style="width:33%;">
+<ul>
+<li><span style="color:red;">X</span>O system</li>
+</ul>
+<p><img data-src="./img/clustering_XO_naive.png"></p>
+</div><div class="column" style="width:33%;">
+<ul>
+<li>OO system</li>
+</ul>
+<p><img data-src="./img/clustering_OO_naive.png"></p>
+</div>
+</div>
+<ul>
+<li>A cluster with mean male <span class="math inline">\(=\)</span> mean female</li>
+<li>A cluster above the diagonale</li>
+<li>A cluster below the diagonale</li>
+</ul>
+</section>
+<section id="test-the-sexual-model-2" class="slide level2">
+<h2>Test the sexual model</h2>
+<div class="columns">
+<div class="column" style="width:25%;">
+<p><strong>data</strong></p>
+<p><img data-src="./img/model_XY.png"></p>
+</div><div class="column" style="width:25%;">
+<p><strong>XY model</strong></p>
+<p><img data-src="./img/clustering_XY_naive_XY.png"></p>
+</div><div class="column" style="width:25%;">
+<p><strong>XO model</strong></p>
+<p><img data-src="./img/clustering_XY_naive_XO.png"></p>
+</div><div class="column" style="width:25%;">
+<p><strong>OO model</strong></p>
+<p><img data-src="./img/clustering_XY_naive_OO.png"></p>
+</div>
+</div>
+<div class="columns">
+<div class="column" style="width:50%;">
+<p>Bayesian information criterion (BIC)</p>
+<p><img data-src="./img/clustering_XY_naive_BIC.png"></p>
+</div><div class="column" style="width:50%;">
+<p>Loglikelihood</p>
+<p><img data-src="./img/clustering_XY_naive_loglik.png"></p>
+</div>
+</div>
+</section>
+<section id="identify-the-ax-and-y-k-mers" class="slide level2">
+<h2>identify the <span style="color:blue;">A</span>,<span style="color:red;">X</span> and <span style="color:green;">Y</span> <span class="math inline">\(k\)</span>-mers</h2>
+<div class="columns">
+<div class="column" style="width:50%;">
+<p><img data-src="./img/clustering_XY_naive_XY.png"></p>
+</div><div class="column" style="width:50%;">
+<ul>
+<li>Can be used to compare model</li>
+<li>Not sensitive enough</li>
+<li>Cannot be used to classify individual <span class="math inline">\(k\)</span>-mers</li>
+</ul>
+</div>
+</div>
+</section>
+<section id="identify-the-ax-and-y-k-mers-1" class="slide level2">
+<h2>identify the <span style="color:blue;">A</span>,<span style="color:red;">X</span> and <span style="color:green;">Y</span> <span class="math inline">\(k\)</span>-mers</h2>
+<div class="columns">
+<div class="column" style="width:75%;">
+<p><img data-src="./img/clustering_XY_bayse_XY.png"></p>
+</div><div class="column" style="width:25%;">
+<ul>
+<li>Can choose the prior for each cluster (mean and shape)</li>
+<li>Can choose the prior for the proportion between <span style="color:blue;">A</span>,<span style="color:red;">X</span> and <span style="color:green;">Y</span></li>
+<li>Can choose the weight of each prior compared to the data</li>
+</ul>
+</div>
+</div>
+</section>
+<section id="identify-the-ax-and-y-k-mers-2" class="slide level2">
+<h2>identify the <span style="color:blue;">A</span>,<span style="color:red;">X</span> and <span style="color:green;">Y</span> <span class="math inline">\(k\)</span>-mers</h2>
+<div class="columns">
+<div class="column" style="width:75%;">
+<p><img data-src="./img/clustering_XY_bayse_XO.png"></p>
+</div><div class="column" style="width:25%;">
+<ul>
+<li>Can choose the prior for each cluster (mean and shape)</li>
+<li>Can choose the prior for the proportion between <span style="color:blue;">A</span>,<span style="color:red;">X</span> and <span style="color:green;">Y</span></li>
+<li>Can choose the weight of each prior compared to the data</li>
+</ul>
+</div>
+</div>
+</section>
+<section id="identify-the-ax-and-y-k-mers-3" class="slide level2">
+<h2>identify the <span style="color:blue;">A</span>,<span style="color:red;">X</span> and <span style="color:green;">Y</span> <span class="math inline">\(k\)</span>-mers</h2>
+<div class="columns">
+<div class="column" style="width:75%;">
+<p><img data-src="./img/clustering_XO_bayse_XO.png"></p>
+</div><div class="column" style="width:25%;">
+<ul>
+<li>Can choose the prior for each cluster (mean and shape)</li>
+<li>Can choose the prior for the proportion between <span style="color:blue;">A</span>,<span style="color:red;">X</span> and <span style="color:green;">Y</span></li>
+<li>Can choose the weight of each prior compared to the data</li>
+</ul>
+</div>
+</div>
+</section>
+<section id="count-problem" class="slide level2">
+<h2>Count problem</h2>
+<div class="columns">
+<div class="column" style="width:75%;">
+<p><img data-src="./img/count_problem.png"></p>
+</div><div class="column" style="width:25%;">
+<ul>
+<li>The coverage is not the same between the male and the female</li>
+</ul>
+</div>
+</div>
+</section>
+<section id="kmer-diff-2" class="slide level2">
+<h2>Kmer-diff</h2>
+<p>A nextflow pipeline to analyse the <span class="math inline">\(k\)</span>-mer content of fastq files</p>
+<ol type="1">
+<li>preprocess the fastq files
+<ul>
+<li><strong>subsample to have the same number of reads between male and female</strong></li>
+</ul></li>
+<li>count the <span class="math inline">\(k\)</span>-mers of each file</li>
+<li>merge the counts to get a table of male and female <span class="math inline">\(k\)</span>-mers counts</li>
+<li>test the sexual models</li>
+<li>identify the <span style="color:blue;">A</span>,<span style="color:red;">X</span> and <span style="color:green;">Y</span> <span class="math inline">\(k\)</span>-mers</li>
+</ol>
+<div class="footer footer-default">
+<p>laurent.modolo@ens-lyon.fr</p>
+</div>
+</section>
+    </div>
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+        const mode = bsSheetEl.getAttribute("data-mode");
+        const bodyEl = window.document.querySelector("body");
+        if (mode === "dark") {
+          bodyEl.classList.add("quarto-dark");
+          bodyEl.classList.remove("quarto-light");
+        } else {
+          bodyEl.classList.add("quarto-light");
+          bodyEl.classList.remove("quarto-dark");
+        }
+      }
+      const toggleBodyColorPrimary = () => {
+        const bsSheetEl = window.document.querySelector("link#quarto-bootstrap");
+        if (bsSheetEl) {
+          toggleBodyColorMode(bsSheetEl);
+        }
+      }
+      toggleBodyColorPrimary();  
+      const tabsets =  window.document.querySelectorAll(".panel-tabset-tabby")
+      tabsets.forEach(function(tabset) {
+        const tabby = new Tabby('#' + tabset.id);
+      });
+      const isCodeAnnotation = (el) => {
+        for (const clz of el.classList) {
+          if (clz.startsWith('code-annotation-')) {                     
+            return true;
+          }
+        }
+        return false;
+      }
+      const clipboard = new window.ClipboardJS('.code-copy-button', {
+        text: function(trigger) {
+          const codeEl = trigger.previousElementSibling.cloneNode(true);
+          for (const childEl of codeEl.children) {
+            if (isCodeAnnotation(childEl)) {
+              childEl.remove();
+            }
+          }
+          return codeEl.innerText;
+        }
+      });
+      clipboard.on('success', function(e) {
+        // button target
+        const button = e.trigger;
+        // don't keep focus
+        button.blur();
+        // flash "checked"
+        button.classList.add('code-copy-button-checked');
+        var currentTitle = button.getAttribute("title");
+        button.setAttribute("title", "Copied!");
+        let tooltip;
+        if (window.bootstrap) {
+          button.setAttribute("data-bs-toggle", "tooltip");
+          button.setAttribute("data-bs-placement", "left");
+          button.setAttribute("data-bs-title", "Copied!");
+          tooltip = new bootstrap.Tooltip(button, 
+            { trigger: "manual", 
+              customClass: "code-copy-button-tooltip",
+              offset: [0, -8]});
+          tooltip.show();    
+        }
+        setTimeout(function() {
+          if (tooltip) {
+            tooltip.hide();
+            button.removeAttribute("data-bs-title");
+            button.removeAttribute("data-bs-toggle");
+            button.removeAttribute("data-bs-placement");
+          }
+          button.setAttribute("title", currentTitle);
+          button.classList.remove('code-copy-button-checked');
+        }, 1000);
+        // clear code selection
+        e.clearSelection();
+      });
+      function tippyHover(el, contentFn) {
+        const config = {
+          allowHTML: true,
+          content: contentFn,
+          maxWidth: 500,
+          delay: 100,
+          arrow: false,
+          appendTo: function(el) {
+              return el.closest('section.slide') || el.parentElement;
+          },
+          interactive: true,
+          interactiveBorder: 10,
+          theme: 'light-border',
+          placement: 'bottom-start'
+        };
+          config['offset'] = [0,0];
+          config['maxWidth'] = 700;
+        window.tippy(el, config); 
+      }
+      const noterefs = window.document.querySelectorAll('a[role="doc-noteref"]');
+      for (var i=0; i<noterefs.length; i++) {
+        const ref = noterefs[i];
+        tippyHover(ref, function() {
+          // use id or data attribute instead here
+          let href = ref.getAttribute('data-footnote-href') || ref.getAttribute('href');
+          try { href = new URL(href).hash; } catch {}
+          const id = href.replace(/^#\/?/, "");
+          const note = window.document.getElementById(id);
+          return note.innerHTML;
+        });
+      }
+      const findCites = (el) => {
+        const parentEl = el.parentElement;
+        if (parentEl) {
+          const cites = parentEl.dataset.cites;
+          if (cites) {
+            return {
+              el,
+              cites: cites.split(' ')
+            };
+          } else {
+            return findCites(el.parentElement)
+          }
+        } else {
+          return undefined;
+        }
+      };
+      var bibliorefs = window.document.querySelectorAll('a[role="doc-biblioref"]');
+      for (var i=0; i<bibliorefs.length; i++) {
+        const ref = bibliorefs[i];
+        const citeInfo = findCites(ref);
+        if (citeInfo) {
+          tippyHover(citeInfo.el, function() {
+            var popup = window.document.createElement('div');
+            citeInfo.cites.forEach(function(cite) {
+              var citeDiv = window.document.createElement('div');
+              citeDiv.classList.add('hanging-indent');
+              citeDiv.classList.add('csl-entry');
+              var biblioDiv = window.document.getElementById('ref-' + cite);
+              if (biblioDiv) {
+                citeDiv.innerHTML = biblioDiv.innerHTML;
+              }
+              popup.appendChild(citeDiv);
+            });
+            return popup.innerHTML;
+          });
+        }
+      }
+    });
+    </script>
+    
+
+</body></html>
\ No newline at end of file
-- 
GitLab