From 7d2449a3add96a642c250aef0d49e1c65843db38 Mon Sep 17 00:00:00 2001 From: thaaoblues Date: Mon, 20 Jan 2025 11:55:59 +0100 Subject: [PATCH] corrections mineures orthographe et syntaxe --- Projet.Rmd | 25 +- Projet.log | 701 ----------------------------------------------------- Projet.pdf | Bin 652941 -> 643685 bytes 3 files changed, 13 insertions(+), 713 deletions(-) delete mode 100644 Projet.log diff --git a/Projet.Rmd b/Projet.Rmd index a5bbf33..993a04a 100644 --- a/Projet.Rmd +++ b/Projet.Rmd @@ -61,7 +61,7 @@ Le jeu de données contient 3 variables qualitatives nominales représentant l'e ## Expression des gênes lors des traitements T1,T2 et T3 -Nous avons réalisé 3 histogrammes pour visualiser les effectifs des gènes en fonction de leur expression relative moyenne à 6h suite aux traitements T1,T2 et T3, cette moyenne est représenté par les variables qualitatives nominales ExpT1,ExpT2 et ExpT3 +Nous avons réalisé 3 histogrammes pour visualiser les effectifs des gènes en fonction de leur expression relative moyenne à 6h suite aux traitements T1,T2 et T3, cette moyenne est représentée par les variables qualitatives nominales ExpT1,ExpT2 et ExpT3 ```{r,fig.height=3,warning=FALSE,fig.cap="\\label{fig:histo1}Visualualisation des expressions relative des gènes lors du traitement T1,T2 et T3"} g1<-ggplot(T, aes(x=T$ExpT1))+ @@ -187,10 +187,10 @@ Nous allons analyser les boxplots obtenus à la Figure \ref{fig:boxplot2} #### Traitement 1 Les genes sur-exprimés au T1 sont non-exprimé durant le T2 et T3 (Boxplots T1/ExpT2 et T1/ExpT3) . -Il est difficile d'observer une catégorie de genes de T1 qui se soient sous exprimés ou sur exprimés dans T2 et T3, ceux qui n'avaient pas changés d'expression relative durant T1, se sont soit sous exprimé soit sur exprimé (Boxplots T1/ExpT2 et T1/ExpT3). +Il est difficile d'observer une catégorie de genes de T1 qui se soient sous-exprimés ou sur-exprimés dans T2 et T3, ceux qui n'avaient pas changés d'expression relative durant T1, se sont soit sous-exprimé soit sur-exprimé (Boxplots T1/ExpT2 et T1/ExpT3). -#### traitements 2 et 3 -On observe une légère tendance des genes s'étant sous-exprimé avec T1 à se sous exprimer avec T2 et T3 (Boxplots T2/ExpT1 et T3/expT1). En revanche, il est très clair que T2 et T3 ont les même effet sur les mêmes genes à 6h, toutes les expressions relevées par T2 concordent aux modalités qualitatives moyennes calculées sur T3 (Boxplots T2/ExpT3 et T3/ExpT2). +#### Traitements 2 et 3 +On observe une légère tendance des genes s'étant sous-exprimé avec T1 à se sous-exprimer avec T2 et T3 (Boxplots T2/ExpT1 et T3/expT1). En revanche, il est très clair que T2 et T3 ont les même effets sur les mêmes genes à 6h, toutes les expressions relevées par T2 concordent aux modalités qualitatives moyennes calculées sur T3 (Boxplots T2/ExpT3 et T3/ExpT2). ## matrice de covariance des variables quantitatives @@ -210,7 +210,7 @@ corrplot(cr,method="ellipse", type="lower", bg = "lightgrey") ### analyse de la matrice de covariance Sur la Figure \ref{fig:covplot1} on observe clairement de grandes zones de de corrélation entre T2 et T3 délimitées par une correlation plus moyenne à la première heure des deux traitements sûrement dues au fait que T3 est influencé par T1 aux premières heures. -On remarque que T3 est plus fortement corrélé à T1 à 1H que T2 (qui ne l'est que légèrement), semblant indiquer que T1 s'exprime avant T2; T3 étant la combinaison des deux traitements. +On remarque que T3 est plus fortement corrélé à T1 à 1H que T2 (qui ne l'est que légèrement), semblant indiquer que T1 a un effet avant T2; T3 étant la combinaison des deux traitements. ## Rapport de correlation Eta2 @@ -248,7 +248,7 @@ table(T$ExpT2,T$ExpT3) ``` -Nouvelle confirmation de nos résultats de manière encore plus précise, on observe que T1 ne change pas l'expression de la très grande majorité des genes. Plus finement, on peut confirmer l'observation faite sur les boxplots tendant à dire que le peu de genes s'étant sous exprimés avec T1 se sont aussi sous-exprimés avec T2 et T3. +Nouvelle confirmation de nos résultats de manière encore plus précise, on observe que T1 ne change pas l'expression de la très grande majorité des gènes. Plus finement, on peut confirmer l'observation faite sur les boxplots tendant à dire que le peu de gènes s'étant sous exprimés avec T1 se sont aussi sous-exprimés avec T2 et T3. La grande valeur des effectifs partiels sur la diagonale de la table de contingence entre T2 et T3 montre bien la similarité de l'effet de ces deux traitement sur l'expression des genes. @@ -273,7 +273,7 @@ fviz_eig(res_pca) La Figure \ref{fig:vp1} représente la participation de chaque valeur propre de la matrice de corrélation du jeu de données dans l'inertie totale. L'inertie totale étant la somme des valeurs propres ( qui elles sont les inerties axiale associées à l'axe de vecteur directeur le vecteur propre associé ), chaque valeur propre est donc une fraction de l'inertie totale. -On voit qu'on dépasse 80% de l'inertie totale rien qu'avec les deux premieres valeurs propres, on en prend donc les vecteurs propres associés comme axes principaux de l'analyse. +Nous voyons un dépassement des 80% de l'inertie totale rien qu'avec les deux premieres valeurs propres, nous en prenons donc les vecteurs propres associés comme axes principaux de l'analyse. ```{r,fig.width=8,fig.cap="\\label{fig:acp1}Projection des individus dans le plan factoriel et corrélations des variables avec les composantes principales"} @@ -294,6 +294,7 @@ Contexte de la figure \ref{fig:acp1} : les relevés aux heures sont décrits par - les genes proches d'un axe sont très représentés par celui-ci - les genes dont l'angle entre eux est petit sont corrélés entre eux +- plus le point représentant un gène est éloigné de l'origine du repère selon un axe, plus ce gène contribue à l'inertie de cet axe ## Interprétation globale du couple de graphes Figure \ref{fig:acp1} @@ -494,7 +495,7 @@ chordDiagram(table(clust1f,clust2f)) \vspace{1cm} -Sur la Figure \ref{fig:chord1} nous observons que les 2 clustering nous donne les même cluster peuplés des mêmes gènes. +Sur la Figure \ref{fig:chord1} nous observons que les 2 clustering nous donnent les mêmes clusters peuplés des mêmes gènes. # Analyse des gènes @@ -586,7 +587,7 @@ Le deuxième axe (DIM2) semble corrélé avec des effets à court terme, typique En regardant la correlations des variables qui représentent les relevés sur T1, comme elles sont très positivement corrélées avec la dimension 2, on en déduis que les gènes vers les valeurs élevées de la dimension 2 sont ceux ciblés par le traitement 1, et 3. -Comme T3 est une combinaison des traitements T1 et T2, il semble structurer fortement l'axe principal (Dim1) pour des temps intermédiaires et avancés, mais est notablement corrélé positivement à la dimension 2 pour les premières heures de traitement, correspondant bien avec le fait que T1 fait exprimer les gènes qu'il vise de manière très rapide. On retrouve bien le fait que T3 est la somme des deux autres traitements. +Comme T3 est une combinaison des traitements T1 et T2, il semble structurer fortement l'axe principal (Dim1) pour des temps intermédiaires et avancés, mais est notablement corrélé positivement à la dimension 2 pour les premières heures de traitement, correspondant bien avec le fait que T1 commence à faire exprimer les gènes qu'il vise de manière plus rapide que les autres traitements. On retrouve bien le fait que T3 est la somme des deux autres traitements. ### Ajout des variables qualitatives @@ -709,7 +710,7 @@ fviz_dend(hward,k=3, ### analyse des clusterings -On remarque que le clustering de la figure \ref{fig:clust2} correspond aux groupes que nous avions discernés sur la Figure \ref{fig:proj2}. On en déduis donc la correlation des gènes de ces classes avec des expressions moyennes similaires dans chaque classe et distinctes entre les différentes classes. +On remarque que le clustering de la figure \ref{fig:clust2} correspond aux groupes que nous avions discernés sur la Figure \ref{fig:proj1}. On en déduis donc la correlation des gènes de ces classes avec des expressions moyennes similaires dans chaque classe et distinctes entre les différentes classes. @@ -776,7 +777,7 @@ ggplot(data_mean, aes(x = Temps, y = Expression, group = Cluster, color = Cluste On lis sur les graphiques de la Figure \ref{fig:evol1} la liaison de toutes les observations que nous avons pu faire : -On remarque sur T1 le fait que le cluster 2 correspond au peu de gènes qu'il influence et qui vont se sur-exprimer tôt dans le traitement, pour ensuite l'expression relative re-diminue. +On remarque sur T1 le fait que le cluster 2 correspond au peu de gènes qu'il influence et qui vont se sur-exprimer plus tôt dans le traitement, pour qu'ensuite l'expression relative re-diminue. Lors du traitement 2, les gènes de ce cluster ne vont pas/peu s'exprimer et lors du traitement 3, ils vont s'exprimer de la même façon que lors du traitement 1, ce qui est logique sachant que T3 est le mélange de T2 et T1. Comme lors de l'analyse descriptive, on observe les deux autres clusters se sous-exprimer légèrement lors de T1 et se sur et sous exprimer pour T2 et T3, tout en conservant leur expression dans le temps. @@ -855,7 +856,7 @@ ggplot(data_mean, aes(x = Temps, y = Expression, group = Cluster, color = Cluste ### Analyse -Avec plus de clusters, on retrouve plus de précisions dans les comportements différents, avec différentes trajectoire d'expression pour les gènes qui finissent sous-exprimés et ceux qui finissent sur exprimés dans T2 et T3, et même une classe de gènes qui se sur-exprime, se calme, puis se re-sur exprime. Il est tout de même intéressant de noter que la courbe d'expression moyenne pour les gènes sur-exprimés par T1 ne bouge pas par rapport à l'analyse sur 3 clusters, il semblerait donc que ce cluster n'ait sensiblement pas bougé. On peut confirmer les tendances vues dans la première ACP, comme le fait que T1 vise des gènes qui s'expriment à un horizon temporel moyen. +Avec plus de clusters, on retrouve plus de précisions dans les comportements différents, avec différentes trajectoire d'expression (et donc comportement entre le premier et dernier relevé ) pour les gènes qui finissent sous-exprimés et ceux qui finissent sur exprimés dans T2 et T3 bien que le dernier relevé donne toujours les mêmes tendances globales. On observe par exemple, une classe de gènes qui se sur-exprime, se calme, puis se re-sur exprime. Chose que l'on ne distinguait pas en effectuant les moyennes des comportements sur uniquement 3 clusters : nous avions juste une courbe tendant vers la sur-expression à 6h. Il est tout de même intéressant de noter que la courbe d'expression moyenne pour les gènes sur-exprimés par T1 ne bouge pas par rapport à l'analyse sur 3 clusters, il semblerait donc que ce cluster n'ait sensiblement pas bougé. On peut aussi confirmer les tendances vues dans la première ACP, comme le fait que T1 vise des gènes qui s'expriment à un horizon temporel moyen. diff --git a/Projet.log b/Projet.log deleted file mode 100644 index 2f5a266..0000000 --- a/Projet.log +++ /dev/null @@ -1,701 +0,0 @@ -This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=pdflatex 2024.3.15) 19 JAN 2025 16:42 -entering extended mode - restricted \write18 enabled. - %&-line parsing enabled. -**Projet.tex -(./Projet.tex -LaTeX2e <2021-11-15> patch level 1 -L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base -/article.cls -Document Class: article 2021/10/04 v1.4n Standard LaTeX document class -(/usr/share/texlive/texmf-dist/tex/latex/base/size10.clo -File: size10.clo 2021/10/04 v1.4n Standard LaTeX file (size option) -) -\c@part=\count185 -\c@section=\count186 -\c@subsection=\count187 -\c@subsubsection=\count188 -\c@paragraph=\count189 -\c@subparagraph=\count190 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