Gobal optimisation for all cultures of axenic bacteria

boundary for optimisation
0.000000e+00 < X_6 < 1.000000e+00
0.000000e+00 < X_7 < 1.000000e+00
0.000000e+00 < X_8 < 1.000000e+00
0.000000e+00 < X_5 < 1.000000e+00
5.000000e+06 < b0_6 < 5.000000e+07
5.000000e+06 < b0_7 < 5.000000e+07
5.000000e+06 < b0_8 < 5.000000e+07
5.000000e+06 < b0_5 < 5.000000e+07
1.000000e-02 < ub < 2.000000e+00
1.000000e-10 < Kc < 1.000000e-04
0.000000e+00 < co0_6 < 4.000000e-07

optimisation result
X_6 = 2.049997e-02
X_7 = 4.449502e-02
X_8 = 5.064975e-02
X_5 = 2.542067e-02
b0_6 = 1.872329e+07
b0_7 = 1.762129e+07
b0_8 = 2.337853e+07
b0_5 = 1.171463e+07
ub = 1.530578e-01
Kc = 6.634935e-06
co0_6 = 2.647983e-07

residual sum of squares = 2.24E+00 
number of fmincon runs = 69 
number of local minima = 69 

Parameters
K_b = 	1.300000e+09
u_b = 	0.153058
K_c = 	6.634935e-06

Dimensionless Parameters
e = ua/ub = 	0.510000
k_b,c = 	0.391865
s_v = 	4.200000
Culture 5ii: 0.1 glycerol
	X = 	18723288.940258
Culture 6i: no glycerol
	X = 	0.020500
Culture 7i: 0.01 glycerol
	X = 	0.044495
Culture 8i: 0.001 glycerol
	X = 	0.050650
Kdil_b = 1.290000

Initial values
c_i(0) = 	5.000000
v(0) = 	0.000000
f_b(0) = 	0.010800
f_o(0) = 	0.010800
f_i(0) = 	0.650000
Culture 5ii: 0.1 glycerol.
	b(0) = 	1.171463e+07
	c_o(0) = 	4.000000e-05
Culture 6i: no glycerol.
	b(0) = 	1.872329e+07
	c_o(0) = 	2.647983e-07
Culture 7i: 0.01 glycerol.
	b(0) = 	1.762129e+07
	c_o(0) = 	4.000000e-06
Culture 8i: 0.001 glycerol.
	b(0) = 	2.337853e+07
	c_o(0) = 	4.000000e-07

manyminsg - minima
X_6 	X_7 	X_8 	X_5 	b0_6 	b0_7 	b0_8 	b0_5 	ub 	Kc 	co0_6 	r^2(fa, fb, a, b) 	exit flag
2.049997e-02 	4.449502e-02 	5.064975e-02 	2.542067e-02 	1.872329e+07 	1.762129e+07 	2.337853e+07 	1.171463e+07 	1.530578e-01 	6.634935e-06 	2.647983e-07 	2.239088 	1 	
2.716346e-02 	4.456159e-02 	2.890324e-02 	2.535157e-02 	2.000000e+07 	2.000000e+07 	2.000000e+07 	2.000000e+07 	6.223609e-02 	6.432015e-07 	4.636115e-08 	2.297173 	2 	
1.856247e-01 	4.660176e-02 	5.747254e-02 	2.609052e-02 	1.864181e+07 	1.821196e+07 	2.418718e+07 	1.136681e+07 	1.610380e-01 	7.523118e-06 	3.053376e-08 	2.368909 	1 	
1.927680e-02 	4.341938e-02 	4.432491e-02 	2.522115e-02 	1.941039e+07 	1.259824e+07 	2.413762e+07 	1.227901e+07 	1.439938e-01 	5.163966e-06 	2.096478e-07 	2.382944 	2 	
2.076906e-02 	4.412856e-02 	4.783509e-02 	2.542326e-02 	1.879607e+07 	1.504512e+07 	2.163453e+07 	1.164409e+07 	1.504843e-01 	5.990207e-06 	2.432195e-07 	2.428627 	1 	
1.774513e-02 	4.362196e-02 	4.440975e-02 	2.523936e-02 	1.894380e+07 	1.388011e+07 	2.135085e+07 	1.317183e+07 	1.385400e-01 	4.984264e-06 	2.323082e-07 	2.464986 	2 	
1.758350e-01 	4.444439e-02 	5.508686e-02 	2.539491e-02 	1.856632e+07 	2.215728e+07 	2.167526e+07 	9.819753e+06 	1.698686e-01 	8.588083e-06 	2.628438e-08 	2.466822 	2 	
2.171808e-01 	4.437527e-02 	5.492987e-02 	2.504466e-02 	1.856632e+07 	2.215785e+07 	2.167913e+07 	9.820048e+06 	1.694973e-01 	8.560526e-06 	2.173478e-08 	2.470903 	2 	
2.101963e-01 	4.462808e-02 	5.497017e-02 	2.533856e-02 	1.856632e+07 	2.215786e+07 	2.167923e+07 	9.820048e+06 	1.695316e-01 	8.550776e-06 	2.094803e-08 	2.471648 	2 	
2.093382e-01 	4.466451e-02 	5.499852e-02 	2.527294e-02 	1.856632e+07 	2.215786e+07 	2.167921e+07 	9.820048e+06 	1.694789e-01 	8.551442e-06 	2.092682e-08 	2.471688 	2 	
2.250205e-01 	4.473406e-02 	5.440904e-02 	2.528397e-02 	1.856632e+07 	2.215771e+07 	2.167741e+07 	9.819928e+06 	1.696405e-01 	8.560596e-06 	2.032113e-08 	2.472206 	2 	
2.114747e-01 	4.443867e-02 	5.476555e-02 	2.522182e-02 	1.856632e+07 	2.215787e+07 	2.167935e+07 	9.820050e+06 	1.691084e-01 	8.515632e-06 	1.992763e-08 	2.473092 	2 	
2.386406e-01 	4.453667e-02 	5.420360e-02 	2.514512e-02 	1.856631e+07 	2.215616e+07 	2.167045e+07 	9.818740e+06 	1.696248e-01 	8.565100e-06 	1.959152e-08 	2.473524 	2 	
2.331588e-01 	4.510771e-02 	5.424560e-02 	2.511240e-02 	1.856632e+07 	2.215783e+07 	2.167864e+07 	9.820041e+06 	1.693638e-01 	8.532172e-06 	1.844022e-08 	2.474402 	2 	
2.300148e-01 	4.502703e-02 	5.470866e-02 	2.506049e-02 	1.856632e+07 	2.215784e+07 	2.167893e+07 	9.820022e+06 	1.694028e-01 	8.543576e-06 	1.804871e-08 	2.475141 	2 	
2.293486e-01 	4.483728e-02 	5.490519e-02 	2.516158e-02 	1.856632e+07 	2.215783e+07 	2.167918e+07 	9.820029e+06 	1.694430e-01 	8.546066e-06 	1.782376e-08 	2.475486 	2 	
2.740911e-01 	4.462082e-02 	5.579612e-02 	2.503639e-02 	1.856632e+07 	2.215739e+07 	2.167611e+07 	9.819736e+06 	1.702615e-01 	8.647790e-06 	1.706220e-08 	2.475606 	2 	
2.239038e-01 	4.481790e-02 	5.542561e-02 	2.516673e-02 	1.856632e+07 	2.215784e+07 	2.167900e+07 	9.820054e+06 	1.697140e-01 	8.570546e-06 	1.791531e-08 	2.475818 	2 	
2.255255e-01 	4.487128e-02 	5.535530e-02 	2.513640e-02 	1.856632e+07 	2.215783e+07 	2.167865e+07 	9.820047e+06 	1.696271e-01 	8.568806e-06 	1.784795e-08 	2.475843 	2 	
2.275857e-01 	4.479789e-02 	5.517095e-02 	2.518774e-02 	1.856632e+07 	2.215783e+07 	2.167867e+07 	9.820047e+06 	1.695138e-01 	8.555646e-06 	1.773430e-08 	2.475844 	2 	
2.230633e-01 	4.475147e-02 	5.541766e-02 	2.519632e-02 	1.856632e+07 	2.215784e+07 	2.167872e+07 	9.820047e+06 	1.697040e-01 	8.567961e-06 	1.794161e-08 	2.475845 	2 	
2.231401e-01 	4.475800e-02 	5.541940e-02 	2.519364e-02 	1.856632e+07 	2.215783e+07 	2.167868e+07 	9.820047e+06 	1.697064e-01 	8.568268e-06 	1.793937e-08 	2.475847 	2 	
2.364332e-01 	4.462523e-02 	5.551901e-02 	2.524299e-02 	1.856632e+07 	2.215784e+07 	2.167881e+07 	9.820047e+06 	1.697302e-01 	8.581350e-06 	1.723188e-08 	2.476177 	2 	
2.626403e-01 	4.420662e-02 	5.430299e-02 	2.508824e-02 	1.856632e+07 	2.215784e+07 	2.167880e+07 	9.820039e+06 	1.690413e-01 	8.504714e-06 	1.623249e-08 	2.476626 	2 	
2.260126e-01 	4.470246e-02 	5.451192e-02 	2.516185e-02 	1.856632e+07 	2.215784e+07 	2.167896e+07 	9.820047e+06 	1.692165e-01 	8.514158e-06 	1.711267e-08 	2.477296 	2 	
2.259065e-01 	4.470054e-02 	5.451366e-02 	2.516247e-02 	1.856632e+07 	2.215784e+07 	2.167885e+07 	9.820047e+06 	1.692227e-01 	8.514774e-06 	1.711630e-08 	2.477305 	2 	
2.266261e-01 	4.470475e-02 	5.449420e-02 	2.516390e-02 	1.856632e+07 	2.215784e+07 	2.167852e+07 	9.820047e+06 	1.691600e-01 	8.510846e-06 	1.707657e-08 	2.477353 	2 	
2.748336e-01 	4.446062e-02 	5.397260e-02 	2.544747e-02 	1.856632e+07 	2.215780e+07 	2.167822e+07 	9.819995e+06 	1.689076e-01 	8.484597e-06 	1.552480e-08 	2.477385 	2 	
2.311860e-01 	4.466166e-02 	5.463659e-02 	2.521955e-02 	1.856632e+07 	2.215783e+07 	2.167923e+07 	9.820049e+06 	1.693646e-01 	8.526475e-06 	1.676758e-08 	2.477519 	2 	
2.321457e-01 	4.467716e-02 	5.462947e-02 	2.528176e-02 	1.856632e+07 	2.215784e+07 	2.167897e+07 	9.820047e+06 	1.693172e-01 	8.524952e-06 	1.671860e-08 	2.477560 	2 	
2.321653e-01 	4.467699e-02 	5.462888e-02 	2.528168e-02 	1.856632e+07 	2.215784e+07 	2.167886e+07 	9.820047e+06 	1.693177e-01 	8.524988e-06 	1.671776e-08 	2.477569 	2 	
2.892758e-01 	4.408777e-02 	5.429724e-02 	2.520730e-02 	1.856632e+07 	2.215782e+07 	2.167850e+07 	9.819997e+06 	1.694103e-01 	8.533978e-06 	1.407013e-08 	2.479312 	2 	
2.507823e-01 	4.469360e-02 	5.480521e-02 	2.521487e-02 	1.856632e+07 	2.215776e+07 	2.167777e+07 	9.819963e+06 	1.693651e-01 	8.535010e-06 	1.525296e-08 	2.479345 	2 	
2.580464e-01 	4.473596e-02 	5.486763e-02 	2.536907e-02 	1.856632e+07 	2.215777e+07 	2.167824e+07 	9.819969e+06 	1.692691e-01 	8.522050e-06 	1.467687e-08 	2.480148 	2 	
3.234999e-01 	4.469757e-02 	5.489374e-02 	2.526612e-02 	1.856629e+07 	2.215273e+07 	2.166361e+07 	9.817176e+06 	1.694841e-01 	8.555236e-06 	1.189033e-08 	2.483502 	2 	
2.896321e-01 	4.668969e-02 	6.025570e-02 	2.620531e-02 	1.856632e+07 	2.215756e+07 	2.167645e+07 	9.819833e+06 	1.755929e-01 	9.260854e-06 	2.026586e-08 	2.489914 	1 	
2.933577e-01 	4.663415e-02 	6.051247e-02 	2.622272e-02 	1.856632e+07 	2.215750e+07 	2.167740e+07 	9.819825e+06 	1.755422e-01 	9.256293e-06 	1.996077e-08 	2.490224 	1 	
2.251017e-01 	4.694344e-02 	6.072901e-02 	2.636347e-02 	1.856629e+07 	2.215060e+07 	2.165991e+07 	9.816653e+06 	1.759692e-01 	9.321603e-06 	2.846226e-08 	2.491507 	1 	
2.649456e-01 	4.664804e-02 	6.095924e-02 	2.639970e-02 	1.856632e+07 	2.215747e+07 	2.167726e+07 	9.819903e+06 	1.759406e-01 	9.308298e-06 	2.339976e-08 	2.492269 	1 	
2.370556e-01 	4.701141e-02 	6.129546e-02 	2.643143e-02 	1.856629e+07 	2.214954e+07 	2.165712e+07 	9.816560e+06 	1.761370e-01 	9.331953e-06 	2.593518e-08 	2.492721 	1 	
2.319766e-01 	4.622560e-02 	6.016034e-02 	2.566476e-02 	1.856630e+07 	2.215572e+07 	2.166882e+07 	9.817825e+06 	1.787720e-01 	9.748894e-06 	2.564444e-08 	2.494219 	1 	
2.436564e-01 	4.679316e-02 	6.382276e-02 	2.610191e-02 	1.856632e+07 	2.215783e+07 	2.167851e+07 	9.820035e+06 	1.777734e-01 	9.451891e-06 	2.681969e-08 	2.500069 	1 	
2.465861e-01 	4.679349e-02 	6.444896e-02 	2.607188e-02 	1.856632e+07 	2.215779e+07 	2.167833e+07 	9.820006e+06 	1.760459e-01 	9.557671e-06 	2.688520e-08 	2.503662 	1 	
2.518146e-01 	4.738980e-02 	6.592171e-02 	2.700316e-02 	1.856632e+07 	2.215777e+07 	2.167763e+07 	9.819981e+06 	1.800640e-01 	9.723531e-06 	2.726819e-08 	2.520143 	1 	
2.518519e-01 	4.739118e-02 	6.592417e-02 	2.700183e-02 	1.856632e+07 	2.215781e+07 	2.167771e+07 	9.820030e+06 	1.800666e-01 	9.723997e-06 	2.726797e-08 	2.520158 	1 	
2.517518e-01 	4.739184e-02 	6.600399e-02 	2.700281e-02 	1.856632e+07 	2.215776e+07 	2.167765e+07 	9.819976e+06 	1.799977e-01 	9.731152e-06 	2.728103e-08 	2.520246 	1 	
2.086129e-02 	4.374384e-02 	2.616022e-02 	2.521375e-02 	1.955169e+07 	1.161625e+07 	1.515730e+07 	1.525077e+07 	7.036555e-02 	5.457647e-07 	4.822015e-08 	2.792838 	2 	
1.995140e-02 	4.375518e-02 	4.443173e-02 	2.522469e-02 	1.934366e+07 	1.512998e+07 	1.529339e+07 	1.363899e+07 	1.363160e-01 	5.012408e-06 	2.132934e-07 	3.016513 	2 	
1.964484e-02 	4.376414e-02 	4.445158e-02 	2.524101e-02 	1.934365e+07 	1.512720e+07 	1.528812e+07 	1.363795e+07 	1.361843e-01 	5.002191e-06 	2.143998e-07 	3.017163 	2 	
8.777411e-02 	4.402520e-02 	2.460752e-02 	2.579489e-02 	2.012101e+07 	8.103794e+06 	8.916328e+06 	1.745925e+07 	7.153819e-02 	3.073881e-07 	4.519880e-09 	3.323867 	1 	
1.402607e-01 	4.573398e-02 	4.129728e-02 	2.617196e-02 	2.017872e+07 	9.498785e+06 	1.467261e+07 	1.612832e+07 	1.229661e-01 	3.373299e-06 	2.492083e-08 	3.391149 	1 	
1.526621e-01 	4.349172e-02 	2.521133e-02 	2.494752e-02 	2.006809e+07 	5.565049e+06 	9.113282e+06 	1.791289e+07 	7.850720e-02 	3.827229e-07 	3.017299e-09 	3.444211 	2 	
2.998585e-02 	4.315326e-02 	2.482066e-02 	3.254913e-02 	2.003132e+07 	6.820553e+06 	7.086429e+06 	2.657948e+07 	7.206839e-02 	2.673531e-07 	2.292697e-08 	3.537906 	1 	
5.477063e-01 	3.945302e-02 	2.538815e-02 	2.729769e-02 	2.024512e+07 	7.605028e+06 	7.021513e+06 	1.796695e+07 	7.187011e-02 	2.886451e-07 	2.030385e-10 	3.623018 	1 	
1.970548e-01 	4.450057e-02 	2.258812e-02 	2.814498e-02 	2.046245e+07 	5.015152e+06 	6.115834e+06 	1.913917e+07 	7.894417e-02 	2.779559e-07 	2.365761e-09 	3.769205 	1 	
2.092508e-01 	4.529641e-02 	2.799243e-02 	2.794133e-02 	2.046436e+07 	5.003965e+06 	6.101588e+06 	1.914441e+07 	7.791413e-02 	2.790517e-07 	1.897543e-09 	3.799744 	1 	
2.059397e-01 	4.518522e-02 	2.738276e-02 	2.650830e-02 	2.046435e+07 	5.002503e+06 	6.101523e+06 	1.914682e+07 	7.713386e-02 	2.904254e-07 	1.700976e-09 	3.804165 	1 	
2.071563e-01 	4.533684e-02 	2.757878e-02 	2.649735e-02 	2.046431e+07 	5.002296e+06 	6.102567e+06 	1.914685e+07 	7.714085e-02 	2.903797e-07 	1.697661e-09 	3.806015 	1 	
2.065006e-01 	4.565863e-02 	2.832091e-02 	2.630043e-02 	2.046425e+07 	5.003001e+06 	6.104069e+06 	1.914663e+07 	7.636067e-02 	2.907921e-07 	1.944995e-09 	3.824725 	1 	
2.062677e-01 	4.564750e-02 	2.830003e-02 	2.630197e-02 	2.046430e+07 	5.002126e+06 	6.099328e+06 	1.914649e+07 	7.636839e-02 	2.904892e-07 	1.945632e-09 	3.824779 	1 	
2.276873e-01 	4.591534e-02 	3.004451e-02 	2.407761e-02 	2.046299e+07 	5.010273e+06 	6.113345e+06 	1.914078e+07 	7.646924e-02 	2.990432e-07 	2.214053e-09 	3.853057 	1 	
2.644679e-01 	4.249516e-02 	2.844898e-02 	2.231958e-02 	2.046157e+07 	5.020547e+06 	6.127410e+06 	1.913473e+07 	8.533599e-02 	3.572166e-07 	1.402438e-09 	3.916816 	1 	
3.364821e-01 	5.100149e-02 	2.901853e-02 	1.595542e-02 	2.046241e+07 	5.010273e+06 	6.123102e+06 	1.913983e+07 	7.515747e-02 	3.285986e-07 	1.561986e-09 	4.127854 	1 	
1.708354e-01 	4.467801e-02 	4.003364e-02 	2.451555e-02 	2.001498e+07 	8.757956e+06 	1.007865e+07 	1.704794e+07 	1.253325e-01 	3.360028e-06 	1.880291e-08 	4.140208 	1 	
1.514081e-01 	4.478403e-02 	3.983188e-02 	2.609567e-02 	2.022765e+07 	9.867963e+06 	9.485587e+06 	1.831090e+07 	1.140199e-01 	2.893353e-06 	2.088519e-08 	4.162493 	1 	
1.803408e-01 	4.422098e-02 	4.260634e-02 	2.641561e-02 	1.975199e+07 	9.953792e+06 	9.610932e+06 	1.627452e+07 	1.261177e-01 	3.620253e-06 	1.888628e-08 	4.166576 	1 	
4.916068e-01 	4.352674e-02 	3.571668e-02 	2.682172e-02 	1.960314e+07 	1.039171e+07 	9.191596e+06 	1.588839e+07 	1.143413e-01 	2.866832e-06 	2.886678e-09 	4.227508 	1 	
1.019486e-02 	4.300468e-02 	4.046032e-02 	2.532478e-02 	5.430425e+06 	5.310010e+06 	4.500480e+07 	1.954626e+07 	1.239001e-01 	3.368068e-06 	3.999998e-07 	5.633070 	1 	
3.971729e-01 	4.406628e-02 	4.474348e-02 	2.715851e-02 	5.399482e+06 	5.000001e+06 	4.215538e+07 	1.699489e+07 	1.320472e-01 	3.879586e-06 	3.279716e-09 	5.958496 	1 	
