Mathematica code:

R[n_] := (SeedRandom[n]; RandomReal[])
G[A_, s_, c_, T_, x_] := A*T*Exp[-(x - c)^2/s]

ListAnimate[
 Show[
   Table[
    Plot[
     100 - n + 
     Sum[G[.5, 6, 100*R[n], 
                 Sum[G[1, .01, k - R[2 n], 1, m/100 + t], 
                 {k, -3, 3, 1}], 
                x],
     {n, 1, 50, 1}], 
   {x, -10, 110}],
    PlotStyle -> Directive[Black], PlotRange -> {{-10, 110}, {0, 100.5}},
    Filling -> Axis, FillingStyle -> White, Axes -> False, AspectRatio -> Full, 
    ImageSize -> {500, 700}],
  {n, 0, 100, 1}]],
{t, 0, .95, .5}, AnimationRunning->False]