Calculating VcVo ratio.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Calculating Vc/Vo \n",
    "Assuming Michealis Menten kinetics..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "6.1680949084572605\n"
     ]
    }
   ],
   "source": [
    "E = 130\n",
    "P_CO2 = 380.0/1000000 \n",
    "R = 8.314\n",
    "T = 300\n",
    "#C_CO2 = float(P_CO2)/(R*T)\n",
    "C_CO2 = P_CO2*34\n",
    "P_O2 = 209465.0/1000000 \n",
    "#C_O2 = float(P_O2)/(R*T)\n",
    "C_O2 = P_O2*1.3\n",
    "Vc_Vo_ratio = E*(float(C_CO2)/C_O2)\n",
    "\n",
    "print(Vc_Vo_ratio)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.27208350000000003"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "C_O2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.0187"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "C_CO2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.2723045"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "C_O2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "21.076199690402476"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "C_O2/C_CO2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3.7957507128967753\n"
     ]
    }
   ],
   "source": [
    "E = 80\n",
    "P_CO2 = 380.0/1000000 \n",
    "R = 8.314\n",
    "T = 300\n",
    "#C_CO2 = float(P_CO2)/(R*T)\n",
    "C_CO2 = P_CO2*34\n",
    "P_O2 = 209465.0/1000000 \n",
    "#C_O2 = float(P_O2)/(R*T)\n",
    "C_O2 = P_O2*1.3\n",
    "Vc_Vo_ratio = E*(float(C_CO2)/C_O2)\n",
    "\n",
    "print(Vc_Vo_ratio)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "63.228599071207434"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "E = 3.0/(float(C_CO2)/C_O2)\n",
    "E"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "E = 130"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8.934757160945077\n"
     ]
    }
   ],
   "source": [
    "P_CO2 = 550.0/1000000 \n",
    "R = 8.314\n",
    "T = 300\n",
    "#C_CO2 = float(P_CO2)/(R*T)\n",
    "C_CO2 = P_CO2*34\n",
    "P_O2 = 209295.0/1000000 \n",
    "#C_O2 = float(P_O2)/(R*T)\n",
    "C_O2 = P_O2*1.3\n",
    "Vc_Vo_ratio = E*(float(C_CO2)/C_O2)\n",
    "\n",
    "print(Vc_Vo_ratio)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### High [CO2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8.934757160945077\n"
     ]
    }
   ],
   "source": [
    "E = 130\n",
    "P_CO2 = 550.0/1000000 \n",
    "R = 8.314\n",
    "T = 300\n",
    "#C_CO2 = float(P_CO2)/(R*T)\n",
    "C_CO2 = P_CO2*34\n",
    "P_O2 = 209295.0/1000000 \n",
    "#C_O2 = float(P_O2)/(R*T)\n",
    "C_O2 = P_O2*1.3\n",
    "Vc_Vo_ratio = E*(float(C_CO2)/C_O2)\n",
    "\n",
    "print(Vc_Vo_ratio)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5.498312099043124\n"
     ]
    }
   ],
   "source": [
    "E = 80\n",
    "P_CO2 = 550.0/1000000 \n",
    "R = 8.314\n",
    "T = 300\n",
    "#C_CO2 = float(P_CO2)/(R*T)\n",
    "C_CO2 = P_CO2*34\n",
    "P_O2 = 209295.0/1000000 \n",
    "#C_O2 = float(P_O2)/(R*T)\n",
    "C_O2 = P_O2*1.3\n",
    "Vc_Vo_ratio = E*(float(C_CO2)/C_O2)\n",
    "\n",
    "print(Vc_Vo_ratio)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Luttge equation 7 using Col1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.418345339573644\n"
     ]
    }
   ],
   "source": [
    "Vmax_O2 = 1.8\n",
    "#C_O2 = 253 # Heldt HW, Piechulla B (2008) Pflanzenbiochemie, 4th edn. Spektrum Akademischer Verlag, Heidelberg\n",
    "C_O2 = 273 # Spalding MH, Stumpf DK, Ku MSB, Burris RH, Edwards GE (1979) Crassulacean acid metabo- lism and diurnal variation of internal CO2 and O2-concentrations in Sedum praealtum DC. Aust J Plant Physiol 6:557–567\n",
    "Km_O2 = 535 # Heldt HW, Piechulla B (2008) Pflanzenbiochemie, 4th edn. Spektrum Akademischer Verlag, Heidelberg\n",
    "Vmax_CO2 = 7.6\n",
    "#C_CO2 = 11 # Heldt HW, Piechulla B (2008) Pflanzenbiochemie, 4th edn. Spektrum Akademischer Verlag, Heidelberg\n",
    "C_CO2 = 8.5 # Spalding MH, Stumpf DK, Ku MSB, Burris RH, Edwards GE (1979) Crassulacean acid metabo- lism and diurnal variation of internal CO2 and O2-concentrations in Sedum praealtum DC. Aust J Plant Physiol 6:557–567\n",
    "Km_CO2 = 9 # Heldt HW, Piechulla B (2008) Pflanzenbiochemie, 4th edn. Spektrum Akademischer Verlag, Heidelberg\n",
    "\n",
    "Vmax_O2_CO2_ratio = (1.0/100)*(Km_O2/Km_CO2)\n",
    "\n",
    "\n",
    "V_O2_CO2_ratio = (Vmax_O2_CO2_ratio*C_O2*(Km_CO2+C_CO2))/(C_CO2*(Km_O2+C_O2))\n",
    "print(1.0/V_O2_CO2_ratio)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Luttge equation 7 using Col2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.44907218981293\n"
     ]
    }
   ],
   "source": [
    "Vmax_O2 = 1.8 # Badger MR, Andrews TJ, Osmond CB (1974) Detection in C3,C4 and CAM plant leaves of a low Km (CO2) form of RuDP carboxylase having high RuDP oxygenase activity at physiological pH. In: Avron M (ed) Proc 3rd Int Congr Photosnythesis, Elsevier, Amsterdam, 1421–1429\n",
    "C_O2 = 273 # Spalding MH, Stumpf DK, Ku MSB, Burris RH, Edwards GE (1979) Crassulacean acid metabo- lism and diurnal variation of internal CO2 and O2-concentrations in Sedum praealtum DC. Aust J Plant Physiol 6:557–567\n",
    "Km_O2 = 230 # Badger MR, Andrews TJ, Osmond CB (1974) Detection in C3,C4 and CAM plant leaves of a low Km (CO2) form of RuDP carboxylase having high RuDP oxygenase activity at physiological pH. In: Avron M (ed) Proc 3rd Int Congr Photosnythesis, Elsevier, Amsterdam, 1421–1429\n",
    "Vmax_CO2 = 7.6 # Badger MR, Andrews TJ, Osmond CB (1974) Detection in C3,C4 and CAM plant leaves of a low Km (CO2) form of RuDP carboxylase having high RuDP oxygenase activity at physiological pH. In: Avron M (ed) Proc 3rd Int Congr Photosnythesis, Elsevier, Amsterdam, 1421–1429\n",
    "C_CO2 = 8.5 # Spalding MH, Stumpf DK, Ku MSB, Burris RH, Edwards GE (1979) Crassulacean acid metabo- lism and diurnal variation of internal CO2 and O2-concentrations in Sedum praealtum DC. Aust J Plant Physiol 6:557–567\n",
    "Km_CO2 = 18.5 # Badger MR, Andrews TJ, Osmond CB (1974) Detection in C3,C4 and CAM plant leaves of a low Km (CO2) form of RuDP carboxylase having high RuDP oxygenase activity at physiological pH. In: Avron M (ed) Proc 3rd Int Congr Photosnythesis, Elsevier, Amsterdam, 1421–1429\n",
    "\n",
    "V_O2_CO2_ratio = (Vmax_O2*C_O2*(Km_CO2+C_CO2))/(Vmax_CO2*C_CO2*(Km_O2+C_O2))\n",
    "print(1.0/V_O2_CO2_ratio)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Luttge equation 9 using Col1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3.2\n"
     ]
    }
   ],
   "source": [
    "E = 100\n",
    "C_O2 = 250 # Heldt HW, Piechulla B (2008) Pflanzenbiochemie, 4th edn. Spektrum Akademischer Verlag, Heidelberg\n",
    "C_CO2 = 8 # Heldt HW, Piechulla B (2008) Pflanzenbiochemie, 4th edn. Spektrum Akademischer Verlag, Heidelberg\n",
    "\n",
    "V_O2_CO2_ratio = (1.0/100)*(float(C_O2)/C_CO2)\n",
    "print(1.0/V_O2_CO2_ratio)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Luttge equation 9 using Col2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3.1135531135531136\n"
     ]
    }
   ],
   "source": [
    "E = 100\n",
    "C_O2 = 273 # Spalding MH, Stumpf DK, Ku MSB, Burris RH, Edwards GE (1979) Crassulacean acid metabo- lism and diurnal variation of internal CO2 and O2-concentrations in Sedum praealtum DC. Aust J Plant Physiol 6:557–567\n",
    "C_CO2 = 8.5 # Spalding MH, Stumpf DK, Ku MSB, Burris RH, Edwards GE (1979) Crassulacean acid metabo- lism and diurnal variation of internal CO2 and O2-concentrations in Sedum praealtum DC. Aust J Plant Physiol 6:557–567\n",
    "\n",
    "V_O2_CO2_ratio = (1.0/100)*(float(C_O2)/C_CO2)\n",
    "print(1.0/V_O2_CO2_ratio)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.27980769230769237\n"
     ]
    }
   ],
   "source": [
    "#Checking £\n",
    "\n",
    "P_CO2 = 380.0/1000000 \n",
    "R = 8.314\n",
    "T = 300\n",
    "#C_CO2 = float(P_CO2)/(R*T)\n",
    "C_CO2 = P_CO2*34\n",
    "P_O2 = 209465.0/1000000 \n",
    "#C_O2 = float(P_O2)/(R*T)\n",
    "C_O2 = P_O2*1.3\n",
    "Vmax_O2 = 9.7\n",
    "Vmax_CO2 = 2.6\n",
    "KM_O2 = 280\n",
    "KM_CO2 = 21\n",
    "\n",
    "E = (Vmax_O2/((KM_O2*(1+(C_CO2/KM_CO2)))+C_O2))/(Vmax_CO2/((KM_CO2*(1+(C_O2/KM_O2)))+C_CO2))\n",
    "\n",
    "print(E)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.2798076923076922\n"
     ]
    }
   ],
   "source": [
    "#Checking £\n",
    "\n",
    "P_CO2 = 550.0/1000000 \n",
    "R = 8.314\n",
    "T = 300\n",
    "#C_CO2 = float(P_CO2)/(R*T)\n",
    "C_CO2 = P_CO2*34\n",
    "P_O2 = 209295.0/1000000 \n",
    "#C_O2 = float(P_O2)/(R*T)\n",
    "C_O2 = P_O2*1.3\n",
    "Vmax_O2 = 9.7\n",
    "Vmax_CO2 = 2.6\n",
    "KM_O2 = 280\n",
    "KM_CO2 = 21\n",
    "\n",
    "E = (Vmax_O2/((KM_O2*(1+(C_CO2/KM_CO2)))+C_O2))/(Vmax_CO2/((KM_CO2*(1+(C_O2/KM_O2)))+C_CO2))\n",
    "\n",
    "print(E)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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