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[null,null,null,{"$f":"ODE_KA1!D153","v":6.7285530523184298E-2},{"$f":"ODE_KA1!A153","v":11.999999999999973},{"$f":"Ka1_+NORMINV(RAND(),0,reserr)","v":0.27916429067125159},null,null,null,null,null,null,12,5.04468E-2,1.6838730523184298E-2]

{"sheet":"ODE_KA1","index":2,"n_rows":153,"n_cols":30,"rows_kept":153,"cut":false,"hidden":false,"merged":[]}
["AlgLib ODE Functions"]
[]
["ODE(FuncName, Initial , XA , CoeffA, Eps, Step, MaxIts)"]
["Solve Ordinary Differential Equations using the AlgLib ODESolver routines"]
["Input:"]
[null,"FuncName:  Name of the VBA function to be solved"]
[null,"Initial:  Initial value of each variable, single row or column range"]
[null,"XA: X values where output is required; single column range"]
[null,"CoeffA: coefficients required for the ODE evaluation, single row range"]
[null,"Eps: tolerance of solution; optional, default = 1E-6"]
[null,"Step: initial step size; optional, default = 0 (step size determined by AlgLib routine)"]
[null,"MaxIts: Maximum number of iterations; optional, default = 100 "]
[]
["Output:"]
[null,"M x N array where M is the number of values in XA and N is the number of variables (rows or columns in Initial)"]
[null,"Enter as an array function (select output range, press F2, edit formula if needed then press ctrl-shift enter)"]
[]
["ODE Input:"]
[null,"Function name",null,"Ethanol_KA1"]
[null,null,null,"gut","conc"]
[null,"Initial amount",null,{"$f":"ka1mo!Dose*1000","v":40000},0]
[null,"Output time step",null,0.1,"h"]
[null,"Parameters",null,"Vmax","Km","V","ka"]
[null,"Values",null,{"$f":"ka1mo!Vmax","v":10},{"$f":"ka1mo!Km","v":80},{"$f":"ka1mo!V","v":35},{"$f":"ka1mo!Ka","v":0.69314718055994529}]
[null,"Units",null,"g/h","mg/L","L"]
[null,"Tolerance",null,1.0000000000000001E-9]
[null,"Function time step",null,0.01,"h","Doesn't seem to change anything"]
[null,"Max. Iterations per step",null,10000]
[]
["Model: Defined as named function in VBA mODEFunctions"]
[]
["Time","Gut","Central","Conc"]
[0,{"$f":"ODE(D19,D21:E21,A33:A153,D24:G24,D26,D27,D28)","v":40000},0,{"$f":"C33/V","v":0}]
[{"$f":"+A33+$D$22","v":0.1},37321.319661472291,2391.877589275201,68.339359693577165,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"x = ut + at^2/2"]
[0.2,34822.022531844945,4346.9048266655273,124.19728076187221,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"a = k(1-x/r)"]
[0.30000000000000004,32490.095854249405,6029.7808354928375,172.27945244265251,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"a = k(1-(ut + at^2/2)/r)"]
[0.4,30314.33133020794,7498.3840366115382,214.23954390318681]
[0.5,28284.271247461878,8784.3160181122657,250.98045766035045]
[0.6,26390.158215457865,9908.8697854273778,283.11056529792506]
[0.7,24622.888266898288,10888.196787381657,311.09133678233309]
[0.79999999999999993,22973.967099940648,11735.444973851119,335.29842782431768]
[0.89999999999999991,21435.469250725793,12461.795246710775,356.05129276316501]
[0.99999999999999989,19999.999999999905,13077.025160724979,373.629290306428]
[1.0999999999999999,18660.659830736033,13589.844447718402,388.28126993481146]
[1.2,17411.011265922352,14008.110114327585,400.23171755221671]
[1.3,16245.047927124555,14338.973276607632,409.68495076021804]
[1.4000000000000001,15157.165665103805,14588.98493650952,416.82814104312911]
[1.5000000000000002,14142.135623730755,14764.17577905482,421.8335936872806]
[1.6000000000000003,13195.079107728729,14870.118787163803,424.86053677610863]
[1.7000000000000004,12311.444133448935,14911.980038573111,426.05657253066028]
[1.8000000000000005,11486.983549970104,14894.561087115186,425.55888820329102]
[1.9000000000000006,10717.734625362669,14822.335164725682,423.4952904207338]
[2.0000000000000004,9999.9999999997272,14699.478724192546,419.98510640550131]
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[2.2000000000000006,8705.5056329609524,14317.26108737514,409.0646024964326]
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[2.5000000000000009,7071.0678118651649,13454.444686829456,384.41270533798445]
[2.600000000000001,6597.539553864156,13102.101794835689,374.34576556673397]
[2.7000000000000011,6155.7220667242655,12722.109643829997,363.48884696657137]
[2.8000000000000012,5743.4917749848546,12317.099326415895,351.91712361188274]
[2.9000000000000012,5358.8673126811454,11889.591612422106,339.70261749777444]
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[3.1000000000000014,4665.1649576837235,10976.713316994492,313.62038048555689]
[3.2000000000000015,4352.7528164803107,10495.979486458629,{"$f":"C65/V","v":299.88512818453228}]
[3.3000000000000016,4061.2619817808741,10002.05494151982,285.77299832913769]
[3.4000000000000017,3789.2914162756952,9497.1555737625786,271.34730210750223]
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[5.0999999999999979,1166.2912394208508,1607.9647427561383,45.941849793032524]
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[5.3999999999999968,947.32285406887229,913.88649579231708,26.111042736923345]
[5.4999999999999964,883.88347648306626,749.03993321859741,21.401140949102782]
[5.5999999999999961,824.69244423294901,613.19825172282174,17.519950049223478]
[5.6999999999999957,769.46525834047031,502.8167782189326,14.366193663398073]
[5.7999999999999954,717.93647187305203,414.13215353297835,11.832347243799381]
[5.899999999999995,669.85841408509464,343.45863603513857,9.8131038867182454]
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[6.0999999999999943,583.14561971042826,243.01122115399329,6.9431777472569509]
[6.199999999999994,544.09410206000712,207.77793236783631,5.9365123533667514]
[6.2999999999999936,507.65774772258163,179.67331079302886,5.1335231655151103]
[6.3999999999999932,473.66142703443847,157.07854628982511,{"$f":"C97/V","v":4.4879584654235742}]
[{"$f":"+A97+$D$22","v":6.4999999999999929},441.94173824153535,138.72847410992898,3.9636706888551139]
[6.5999999999999925,412.34622211647616,123.64780820164913,3.5327945200471178]
[6.6999999999999922,384.73262917023641,111.09214836067797,3.1740613817336563]
[6.7999999999999918,358.96823593652664,100.49713417450685,2.8713466907001957]
[6.8999999999999915,334.92920704254738,91.436603837890871,2.6124743953683107]
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[7.4999999999999893,220.97086912076142,55.83880281503491,1.5953943661438545]
[7.599999999999989,206.17311105823009,51.790174136451206,1.4797192610414631]
[7.6999999999999886,192.36631458510865,48.084122332297312,1.373832066637066]
[7.7999999999999883,179.48411796825144,44.679581997964775,1.2765594856561364]
[7.8999999999999879,167.46460352125914,41.5430739379592,1.1869449696559771]
[7.9999999999999876,156.24999999996112,38.646879656529499,1.1041965616151286]
[8.0999999999999872,145.78640492758396,35.967697818471102,1.0276485090991743]
[8.1999999999999869,136.02352551497492,33.485653163409566,0.95673294752598759]
[8.2999999999999865,126.9144369306123,31.183562776625788,0.89095893647502256]
[8.3999999999999861,118.41535675857072,29.046390148871193,0.8298968613963198]
[8.4999999999999858,110.48543456033892,27.060836279508024,0.77316675084308639]
[8.5999999999999854,103.08655552906737,25.215030890128954,0.72042945400368441]
[8.6999999999999851,96.183157292499715,23.498296910685429,0.67137991173386935]
[8.7999999999999847,89.742058984063291,21.900968756034278,0.62574196445812225]
[8.8999999999999844,83.732301760558272,20.414250256124561,0.58326429303213034]
[8.999999999999984,78.124999999899543,19.030101979479522,0.54371719941370067]
[9.0999999999999837,72.893202463706942,17.741150496290949,0.50689001417974144]
[9.1999999999999833,68.011762757389349,16.540614157123194,0.47258897591780552]
[9.2999999999999829,63.457218465205372,15.422241430360316,0.44063546943886617]
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[9.5999999999999819,51.543277764404564,12.504500485481158,{"$f":"C129/V","v":0.35727144244231879}]
[9.6999999999999815,48.09157864611096,11.661196706752042,0.33317704876434406]
[9.7999999999999812,44.871029491884769,10.875163755400248,0.31071896444000707]
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[10.999999999999977,19.531249999711239,4.7165024965419171,0.13475721418691192]
[11.099999999999977,18.223300615658381,4.3998357907680798,0.12570959402194515]
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[11.499999999999975,13.810679319731193,3.3323683998320015,9.5210525709485752E-2]
[11.599999999999975,12.885819440817215,3.1088029471288188,8.8822941346537676E-2]
[11.699999999999974,12.022894661241411,2.9002618621003688,8.2864624631439107E-2]
[11.799999999999974,11.217757372682213,2.7057321228489086,7.7306632081397389E-2]
[11.899999999999974,10.46653771973965,2.5242694466656164,7.2121984190446187E-2]
[11.999999999999973,9.7656249996555857,2.3549935683114502,6.7285530523184298E-2]

{"sheet":"ODE_BO1","index":3,"n_rows":52,"n_cols":29,"rows_kept":52,"cut":false,"hidden":false,"merged":[]}
["AlgLib ODE Functions"]
[]
["ODE(FuncName, Initial , XA , CoeffA, Eps, Step, MaxIts)"]
["Solve Ordinary Differential Equations using the AlgLib ODESolver routines"]
["Input:"]
[null,"FuncName:  Name of the VBA function to be solved"]
[null,"Initial:  Initial value of each variable, single row or column range"]
[null,"XA: X values where output is required; single column range"]
[null,"CoeffA: coefficients required for the ODE evaluation, single row range"]
[null,"Eps: tolerance of solution; optional, default = 1E-6"]
[null,"Step: initial step size; optional, default = 0 (step size determined by AlgLib routine)"]
[null,"MaxIts: Maximum number of iterations; optional, default = 100 "]
[]
["Output:"]
[null,"M x N array where M is the number of values in XA and N is the number of variables (rows or columns in Initial)"]
[null,"Enter as an array function (select output range and press ctrl-shift enter)"]
[]
["ODE Input:"]
[null,"Function name",null,"Ethanol_BO1"]
[null,"Initial amount",null,{"$f":"ka1mo!Dose*1000","v":40000},"mg"]
[null,"Output time step",null,0.5,"h"]
[null,"Parameters",null,"Vmax","Km","V"]
[null,"Values",null,{"$f":"ka1mo!Vmax","v":10},{"$f":"ka1mo!Km","v":80},{"$f":"ka1mo!V","v":35}]
[null,"Units",null,"g/h","mg/L","L"]
[null,"Tolerance",null,1.0000000000000001E-9]
[null,"Function time step",null,0.01,"h","Doesn't seem to change anything"]
[null,"Max. Iterations per step",null,1000]
[]
["Model: Defined as named function in VBA mODEFunctions"]
[]
["Time","Amount","Conc"]
[0,{"$f":"ODE(D19,D20,A32:A52,D23:F23,D25,D26,D27)","v":40000},{"$f":"B32/V","v":1142.8571428571429}]
[{"$f":"+A32+$D$21","v":0.5},35346.318585344838,1009.8948167241382,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"x = ut + at^2/2"]
[1,30737.50818481337,878.21451956609633,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"a = k(1-x/r)"]
[1.5,26186.210225675408,748.17743501929738,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"a = k(1-(ut + at^2/2)/r)"]
[2,21710.972671274987,620.31350489357101]
[2.5,17340.359673558178,495.43884781594795]
[3,13121.052143793051,374.88720410837288]
[3.5,9134.9583165563745,260.99880904446786]
[4,5536.8635351727526,158.1961010049358]
[4.5,2625.7916564032953,75.022618754379863]
[5,834.71712997563361,23.849060856446673]
[5.5,177.02128647663477,5.0577510421895653]
[6,31.268471172647647,0.8933848906470756]
[6.5,5.2918788222764066,0.1511965377793259]
[7,0.88872415077364753,2.5392118593532787E-2]
[7.5,0.14905819108297391,4.2588054595135401E-3]
[8,2.4994774507438072E-2,7.1413641449823064E-4]
[8.5,4.1910858851249219E-3,1.197453110035692E-4]
[9,7.0275040666342974E-4,2.0078583047526563E-5]
[9.5,1.1783513206210752E-4,3.3667180589173578E-6]
[10,1.9758206704681444E-5,5.64520191562327E-7]