Turning mindmap to animated slide

Question

I would like to turn this mindmap to an animation where e.g. the main items appear on the first click, and then each item has its children appearing on click. Thanks in advance.

\documentclass{beamer}
\mode<presentation>{\usetheme{Madrid}}
%%%<
\usepackage{verbatim}
%%%>
\usepackage[landscape]{geometry}
\usepackage{tikz}
\usetikzlibrary{mindmap}
\usepackage{metalogo}
\begin{document}
\begin{frame}{Mindmap}{}
\centering
\begin{tikzpicture} [scale=0.5, every node/.style={transform shape}]
  \path [
    mindmap,
    text = white,
    level 1 concept/.append style =
      {font=\Large\bfseries, sibling angle=90},
    level 2 concept/.append style =
      {font=\normalsize\bfseries},
    level 3 concept/.append style =
      {font=\small\bfseries},
    tex/.style     = {concept, ball color=blue,
      font=\Huge\bfseries},
    engines/.style = {concept, ball color=green!50!black},
    formats/.style = {concept, ball color=blue!50!black},
    systems/.style = {concept, ball color=red!90!black},
    editors/.style = {concept, ball color=orange!90!black}
  ]
  node [tex] {\TeX} [clockwise from=0]
    child[concept color=green!50!black, nodes={engines}] {
      node {Engines} [clockwise from=90]
        child { node {\TeX} }
        child { node {pdf\TeX} }
        child { node {\XeTeX} }
        child { node {Lua\TeX} }}
    child [concept color=blue, nodes={formats}] {
      node {Formats} [clockwise from=300]
        child { node {\LaTeX} }
        child { node {Con\TeX t} }}
    child [concept color=red, nodes={systems}] {
      node {Systems} [clockwise from=210]
        child { node {\TeX Live} [clockwise from=300]
          child { node {Mac \TeX} }}
        child { node {MiK\TeX} [clockwise from=60]
          child { node {Pro \TeX t} }}}
    child [concept color=orange, nodes={editors}] {
      node {Editors} };
\end{tikzpicture}
\end{frame}
\end{document}

Credits: Stefan Kottwitz