Beta_function.ipynb

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    "# double logistic function to calculate beta(t)\n",
    "def double_smoothlog(time, bound1 , bound2, rate1 , rate2 , midpoint1 , midpoint2):\n",
    "    result = []\n",
    "    mini = 0\n",
    "    maxi = time\n",
    "    for x in range(time):\n",
    "        if (midpoint1 > maxi | midpoint2 > maxi | midpoint1 < mini | midpoint2 < mini | midpoint1 > midpoint2):\n",
    "            stop('midpoints not in range!')\n",
    "        t1 = 1 / (1 + math.exp(-rate1*(x - midpoint1)))\n",
    "        t2 = 1 / (1 + math.exp( rate2*(x - midpoint2)))\n",
    "        out = bound1 + (bound2-bound1) * ((t1 + t2) - 1)\n",
    "        result.append(out)\n",
    "    return(result)\n"
   ]
  }
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