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\textbf{diploïde} quand ses chromosomes vont par pair et donc que son génotype contient 2 allèles pour chacun de ses gènes. + + On note $A$ et $a$ 2 allèles d'un gène. Les génotypes possibles sont donc + \[ + A//A \qquad A//a \qquad a//a + \] + Les génotypes $A//a$ et $a//A$ sont identiques. +\end{bclogo} + +\begin{bclogo}[barre=none, arrondi=0.1, logo=]{Cours: Reproduction sexuée} + Lors de la reproduction sexuée, les 2 parents mettent en commun un allèle chacun de leur génotype pour faire un "enfant". + + Deux façons de représenter le brassage du génotype contenant 2 allèles $A$ et $a$. + + \begin{minipage}{0.3\linewidth} + \begin{tabular}{|c|*{2}{c|}} + \hline + \male \verb+\+ \female & $A$ & $a$ \\ + \hline + $A$ & ... & ... \\ + \hline + $a$ & ... & ... \\ + \hline + \end{tabular} + \end{minipage} + \begin{minipage}{0.5\linewidth} + \begin{tikzpicture}[sloped] + \node {.} + child {node {} + child {node {...} + edge from parent + node[above] {$A$} + } + child {node {...} + edge from parent + node[above] {$a$} + } + edge from parent + node[above] {$A$} + } + child[missing] {} + child {node {} + child {node {...} + edge from parent + node[above] {$A$} + } + child {node {...} + edge from parent + node[above] {$a$} + } + edge from parent + node[above] {$a$} + } ; + \end{tikzpicture} + \end{minipage} +\end{bclogo} + +\begin{bclogo}[barre=none, arrondi=0.1, logo=]{Cours: Proportion} + Calcul d'une proportion ou une fréquence d'un caractère + \[ + p = \frac{\mbox{nombre d'individus partageant ce caractère}}{\mbox{nombre total d'individus}} + \] + Dans le cas du calcul de proportion d'allèle, les individus sont les allèles et non les porteurs des génotypes. Chaque "porteur" a donc deux allèles +\end{bclogo} + +\begin{bclogo}[barre=none, arrondi=0.1, logo=]{Document 1: État de départ d'une population de "trucs"} + On considère une population de "trucs" et l'on étudie en particulier gène possédant 2 versions différentes: $A$ et $a$. Ci-dessous le tableau des effectifs de cette population en fonction de leur génotype. + + \begin{center} + \begin{tabular}{|c|c|c|c|} + \hline + Génotype & $A//A$ & $A//a$ & $a//a$ \\ + \hline + Effectifs & 100 & 120 & 150 \\ + \hline + \end{tabular} + \end{center} +\end{bclogo} + +\begin{bclogo}[barre=none, arrondi=0.1, logo=]{Document 2: Graines F1 de muflier} + Les mufliers ont un gène "couleur des pétales". Ce gène possède 2 allèles $R$ et $r$. Les génotypes donnent 3 phénotypes différents + \begin{center} + \begin{tabular}{|c|c|c|c|} + \hline + Génotype & $R//R$ & $R//r$ & $r//r$ \\ + \hline + Couleur & Rouge & Rose & Blanc\\ + \hline + \end{tabular} + \end{center} +\end{bclogo} + +\begin{bclogo}[barre=none, arrondi=0.1, logo=]{Document 3: Population de daphnies} + Une étude a été réalisée sur une population de daphnies. Elle portait sur le suivi d'un gène d'une enzyme qui se décline en 2 allèles $S$ et $F$. Ces crustacés se reproduisent au rythme d'une nouvelle génération par semaine. Ci-dessous les données de l'étude. + + \begin{center} + \begin{tabular}{|c|c|c|c|} + \hline + Dates & $p_{S//S}$ & $p_{S//F}$ & $p_{F//F}$ \\ + \hline + 17/05/1982 & 0.155 & 0.474 & 0.371 \\ + \hline + 01/06/1982 & 0.2 & 0.4 & 0.4 \\ + \hline + \end{tabular} + \end{center} +\end{bclogo} +\end{multicols} + +\begin{enumerate} + \item \textbf{Brassage génétique}. Dans cette partie, on ne s'intéresse uniquement à la population de trucs. On supposera que les "trucs" sont une espèce diploïde et sexuée. + \begin{enumerate} + \item Calculer la proportion de chaque allèle. + \end{enumerate} + Dans la suite, on suppose que toute la population est renouvelée au moment de la reproduction, qu'il n'y a pas de migration, de mutation des allèles, de sélection des individus. + \begin{enumerate} + \setcounter{enumii}{1} + \item La reproduction est sexuée. Quelle est la probabilité d'un truc nouvelle génération ait le génotype $A//A$? $A//a$? $a//a$? + \item Quelle sera la proportion de chaque allèle dans cette nouvelle génération? Que constatez vous? + \item Faire de même pour la génération suivante puis celle encore d'après. Que peut-on conjecturer? + \item (Pour les matheux.ses) En notant $p$ la proportion de l'allèle $A$ et $q$ celle de $a$. Trouver une relation entre $p$ et $q$. Puis Démontrer que ces valeurs sont constantes d'une génération à l'autre. + \end{enumerate} + \item \textbf{Culture de Mufliers}. Jacques a acheté un sac de graine de mufliers rose "F1". La première année, il a de belles fleurs roses. Il en est très content alors il récupère les graines pour les replanter. L'année suivante il compte 100 mufliers roses, 50 rouges et 50 blancs. Expliquer ce qu'il s'est passé. + \item \textbf{Population de daphnies}. À la lumière de ce qui a été vu à la première partie, que peut-on dire de la population de daphnies? Est-ce que les hypothèses formulées s'applique à cette population? +\end{enumerate} + + + + +\end{document}