##### Sheet/List 2 ##### Kyselá katalýza - protonizace subtrátu S+HA<-k-1--k1-->HS+ + A- (vratná protolyzace substrátu) HS+ +X +A- ---k2-->P+Q+HA (vznik produktů z protolyzovaného substrátu) default koncentrace: S= 100 A-= 1 konstanty: k1= 1.00E-03 1.00E-03 1.00E-03 výchozí HA= 5 X= 100 k-1= 1.00E-04 1.00E-04 1.00E-04 HS+= 0 P= 0 k2 1.00E-04 1.00E-04 1.00E-08 Q= 0 obecná specifická kat. první časový krok= 1 k-1*A- k2*X 1.00E-04 << 1.00E-02 Je-li pravada pak obecná kyselá katalýza 1.00E-04 >> 1.00E-02 Je-li pravda pak specifická kyselá katalýza expanze času 1.03 substrát produkty katalyzátor rychlost numerická rychlost stacionární t/ s S HA HS+ A- X P (Q) HA+A- v=dP/dt v=(k1*k2*HA*X*S)/(k-1*A-+K2*S) 0 100 5 0 1 100 0 6 1 9.95E+01 4.50E+00 5.00E-01 1.50E+00 1.00E+02 0.00E+00 6.00E+00 0 4.41E-01 2.03 9.90E+01 4.05E+00 9.53E-01 1.95E+00 1.00E+02 7.73E-03 6.00E+00 0.0075 3.93E-01 3.0909 9.86E+01 3.64E+00 1.36E+00 2.36E+00 1.00E+02 2.75E-02 6.00E+00 0.018621703 3.51E-01 4.183627 9.82E+01 3.28E+00 1.72E+00 2.72E+00 9.99E+01 6.25E-02 6.00E+00 0.032035383 3.14E-01 5.30913581 9.79E+01 2.97E+00 2.03E+00 3.03E+00 9.99E+01 1.15E-01 6.00E+00 0.046561502 2.82E-01 6.468409884 9.75E+01 2.71E+00 2.29E+00 3.29E+00 9.98E+01 1.86E-01 6.00E+00 0.061225982 2.56E-01 7.662462181 9.72E+01 2.48E+00 2.52E+00 3.52E+00 9.97E+01 2.76E-01 6.00E+00 0.075285518 2.33E-01 8.892336046 9.69E+01 2.30E+00 2.70E+00 3.70E+00 9.96E+01 3.84E-01 6.00E+00 0.088225659 2.15E-01 10.15910613 9.66E+01 2.14E+00 2.86E+00 3.86E+00 9.95E+01 5.11E-01 6.00E+00 0.099738104 1.99E-01 11.46387931 9.64E+01 2.02E+00 2.98E+00 3.98E+00 9.93E+01 6.54E-01 6.00E+00 0.109685265 1.87E-01 12.80779569 9.61E+01 1.92E+00 3.08E+00 4.08E+00 9.92E+01 8.12E-01 6.00E+00 0.118059749 1.77E-01 14.19202956 9.59E+01 1.84E+00 3.16E+00 4.16E+00 9.90E+01 9.85E-01 6.00E+00 0.124944839 1.69E-01 15.61779045 9.56E+01 1.77E+00 3.23E+00 4.23E+00 9.88E+01 1.17E+00 6.00E+00 0.130479896 1.63E-01 17.08632416 9.54E+01 1.72E+00 3.28E+00 4.28E+00 9.86E+01 1.37E+00 6.00E+00 0.134832618 1.58E-01 18.59891389 9.51E+01 1.69E+00 3.31E+00 4.31E+00 9.84E+01 1.58E+00 6.00E+00 0.138178527 1.54E-01 20.1568813 9.49E+01 1.66E+00 3.34E+00 4.34E+00 9.82E+01 1.80E+00 6.00E+00 0.140687044 1.51E-01 21.76158774 9.46E+01 1.64E+00 3.36E+00 4.36E+00 9.80E+01 2.03E+00 6.00E+00 0.142512999 1.48E-01 23.41443537 9.44E+01 1.62E+00 3.38E+00 4.38E+00 9.77E+01 2.26E+00 6.00E+00 0.14379229 1.46E-01 25.11686844 9.41E+01 1.61E+00 3.39E+00 4.39E+00 9.75E+01 2.51E+00 6.00E+00 0.144640472 1.45E-01 26.87037449 9.38E+01 1.60E+00 3.40E+00 4.40E+00 9.72E+01 2.76E+00 6.00E+00 0.145153276 1.44E-01 28.67648572 9.36E+01 1.59E+00 3.41E+00 4.41E+00 9.70E+01 3.03E+00 6.00E+00 0.145408252 1.43E-01 30.5367803 9.33E+01 1.59E+00 3.41E+00 4.41E+00 9.67E+01 3.30E+00 6.00E+00 0.145467001 1.42E-01 32.4528837 9.30E+01 1.59E+00 3.41E+00 4.41E+00 9.64E+01 3.58E+00 6.00E+00 0.14537757 1.41E-01 34.42647022 9.27E+01 1.59E+00 3.41E+00 4.41E+00 9.61E+01 3.86E+00 6.00E+00 0.145176809 1.41E-01 36.45926432 9.24E+01 1.58E+00 3.42E+00 4.42E+00 9.58E+01 4.16E+00 6.00E+00 0.144892519 1.40E-01 38.55304225 9.21E+01 1.58E+00 3.42E+00 4.42E+00 9.55E+01 4.46E+00 6.00E+00 0.144545333 1.39E-01 40.70963352 9.18E+01 1.58E+00 3.42E+00 4.42E+00 9.52E+01 4.77E+00 6.00E+00 0.144150311 1.39E-01 42.93092252 9.15E+01 1.58E+00 3.42E+00 4.42E+00 9.49E+01 5.09E+00 6.00E+00 0.143718257 1.38E-01 45.2188502 9.12E+01 1.58E+00 3.42E+00 4.42E+00 9.46E+01 5.42E+00 6.00E+00 0.143256777 1.38E-01 47.57541571 9.08E+01 1.58E+00 3.42E+00 4.42E+00 9.42E+01 5.75E+00 6.00E+00 0.142771112 1.37E-01 50.00267818 9.05E+01 1.58E+00 3.42E+00 4.42E+00 9.39E+01 6.10E+00 6.00E+00 0.142264784 1.37E-01 52.50275852 9.01E+01 1.58E+00 3.42E+00 4.42E+00 9.35E+01 6.45E+00 6.00E+00 0.141740088 1.36E-01 55.07784128 8.98E+01 1.58E+00 3.42E+00 4.42E+00 9.32E+01 6.82E+00 6.00E+00 0.141198451 1.36E-01 57.73017652 8.94E+01 1.58E+00 3.42E+00 4.42E+00 9.28E+01 7.19E+00 6.00E+00 0.140640707 1.35E-01 60.46208181 8.90E+01 1.58E+00 3.42E+00 4.42E+00 9.24E+01 7.57E+00 6.00E+00 0.140067281 1.34E-01 63.27594427 8.86E+01 1.58E+00 3.42E+00 4.42E+00 9.20E+01 7.97E+00 6.00E+00 0.139478329 1.34E-01 66.17422259 8.82E+01 1.58E+00 3.42E+00 4.42E+00 9.16E+01 8.37E+00 6.00E+00 0.138873827 1.33E-01 69.15944927 8.78E+01 1.58E+00 3.42E+00 4.42E+00 9.12E+01 8.78E+00 6.00E+00 0.138253642 1.33E-01 72.23423275 8.74E+01 1.58E+00 3.42E+00 4.42E+00 9.08E+01 9.20E+00 6.00E+00 0.137617563 1.32E-01 75.40125973 8.69E+01 1.58E+00 3.42E+00 4.42E+00 9.04E+01 9.64E+00 6.00E+00 0.13696534 1.31E-01 78.66329753 8.65E+01 1.58E+00 3.42E+00 4.42E+00 8.99E+01 1.01E+01 6.00E+00 0.136296692 1.31E-01 82.02319645 8.60E+01 1.58E+00 3.42E+00 4.42E+00 8.95E+01 1.05E+01 6.00E+00 0.135611327 1.30E-01 85.48389234 8.56E+01 1.58E+00 3.42E+00 4.42E+00 8.90E+01 1.10E+01 6.00E+00 0.134908939 1.29E-01 89.04840911 8.51E+01 1.59E+00 3.41E+00 4.41E+00 8.85E+01 1.15E+01 6.00E+00 0.134189223 1.28E-01 92.71986139 8.46E+01 1.59E+00 3.41E+00 4.41E+00 8.80E+01 1.20E+01 6.00E+00 0.133451868 1.28E-01 96.50145723 8.41E+01 1.59E+00 3.41E+00 4.41E+00 8.75E+01 1.25E+01 6.00E+00 0.132696566 1.27E-01 100.3965009 8.36E+01 1.59E+00 3.41E+00 4.41E+00 8.70E+01 1.30E+01 6.00E+00 0.131923008 1.26E-01 104.408396 8.31E+01 1.59E+00 3.41E+00 4.41E+00 8.65E+01 1.35E+01 6.00E+00 0.13113089 1.25E-01 108.5406479 8.25E+01 1.59E+00 3.41E+00 4.41E+00 8.59E+01 1.41E+01 6.00E+00 0.130319908 1.25E-01 112.7968673 8.20E+01 1.59E+00 3.41E+00 4.41E+00 8.54E+01 1.46E+01 6.00E+00 0.129489764 1.24E-01 117.1807733 8.14E+01 1.59E+00 3.41E+00 4.41E+00 8.48E+01 1.52E+01 6.00E+00 0.128640164 1.23E-01 121.6961965 8.08E+01 1.59E+00 3.41E+00 4.41E+00 8.43E+01 1.57E+01 6.00E+00 0.127770819 1.22E-01 126.3470824 8.03E+01 1.59E+00 3.41E+00 4.41E+00 8.37E+01 1.63E+01 6.00E+00 0.126881447 1.21E-01 131.1374949 7.96E+01 1.59E+00 3.41E+00 4.41E+00 8.31E+01 1.69E+01 6.00E+00 0.125971771 1.20E-01 136.0716197 7.90E+01 1.59E+00 3.41E+00 4.41E+00 8.24E+01 1.76E+01 6.00E+00 0.125041526 1.19E-01 141.1537683 7.84E+01 1.59E+00 3.41E+00 4.41E+00 8.18E+01 1.82E+01 6.00E+00 0.124090451 1.18E-01 146.3883814 7.78E+01 1.59E+00 3.41E+00 4.41E+00 8.12E+01 1.88E+01 6.00E+00 0.123118296 1.17E-01 151.7800328 7.71E+01 1.59E+00 3.41E+00 4.41E+00 8.05E+01 1.95E+01 6.00E+00 0.122124825 1.16E-01 157.3334338 7.64E+01 1.59E+00 3.41E+00 4.41E+00 7.98E+01 2.02E+01 6.00E+00 0.121109808 1.15E-01 163.0534368 7.57E+01 1.59E+00 3.41E+00 4.41E+00 7.92E+01 2.08E+01 6.00E+00 0.120073034 1.14E-01 168.9450399 7.50E+01 1.59E+00 3.41E+00 4.41E+00 7.84E+01 2.16E+01 6.00E+00 0.119014301 1.13E-01 175.0133911 7.43E+01 1.59E+00 3.41E+00 4.41E+00 7.77E+01 2.23E+01 6.00E+00 0.117933424 1.12E-01 181.2637928 7.36E+01 1.59E+00 3.41E+00 4.41E+00 7.70E+01 2.30E+01 6.00E+00 0.116830236 1.11E-01 187.7017066 7.29E+01 1.59E+00 3.41E+00 4.41E+00 7.63E+01 2.37E+01 6.00E+00 0.115704585 1.10E-01 194.3327578 7.21E+01 1.59E+00 3.41E+00 4.41E+00 7.55E+01 2.45E+01 6.00E+00 0.11455634 1.08E-01 201.1627406 7.13E+01 1.59E+00 3.41E+00 4.41E+00 7.47E+01 2.53E+01 6.00E+00 0.113385388 1.07E-01 208.1976228 7.05E+01 1.59E+00 3.41E+00 4.41E+00 7.39E+01 2.61E+01 6.00E+00 0.112191641 1.06E-01 215.4435515 6.97E+01 1.59E+00 3.41E+00 4.41E+00 7.31E+01 2.69E+01 6.00E+00 0.110975031 1.05E-01 222.906858 6.89E+01 1.59E+00 3.41E+00 4.41E+00 7.23E+01 2.77E+01 6.00E+00 0.109735517 1.04E-01 230.5940637 6.81E+01 1.60E+00 3.40E+00 4.40E+00 7.15E+01 2.85E+01 6.00E+00 0.108473084 1.02E-01 238.5118856 6.72E+01 1.60E+00 3.40E+00 4.40E+00 7.06E+01 2.94E+01 6.00E+00 0.107187742 1.01E-01 246.6672422 6.64E+01 1.60E+00 3.40E+00 4.40E+00 6.98E+01 3.02E+01 6.00E+00 0.105879535 9.97E-02 255.0672595 6.55E+01 1.60E+00 3.40E+00 4.40E+00 6.89E+01 3.11E+01 6.00E+00 0.104548533 9.83E-02 263.7192773 6.46E+01 1.60E+00 3.40E+00 4.40E+00 6.80E+01 3.20E+01 6.00E+00 0.103194843 9.70E-02 272.6308556 6.37E+01 1.60E+00 3.40E+00 4.40E+00 6.71E+01 3.29E+01 6.00E+00 0.101818604 9.56E-02 281.8097813 6.28E+01 1.60E+00 3.40E+00 4.40E+00 6.62E+01 3.38E+01 6.00E+00 0.100419991 9.41E-02 291.2640747 6.18E+01 1.60E+00 3.40E+00 4.40E+00 6.52E+01 3.48E+01 6.00E+00 0.098999218 9.27E-02 301.0019969 6.09E+01 1.60E+00 3.40E+00 4.40E+00 6.43E+01 3.57E+01 6.00E+00 0.097556536 9.13E-02 311.0320568 5.99E+01 1.60E+00 3.40E+00 4.40E+00 6.33E+01 3.67E+01 6.00E+00 0.096092238 8.98E-02 321.3630185 5.89E+01 1.60E+00 3.40E+00 4.40E+00 6.23E+01 3.77E+01 6.00E+00 0.094606662 8.83E-02 332.0039091 5.80E+01 1.60E+00 3.40E+00 4.40E+00 6.13E+01 3.87E+01 6.00E+00 0.093100187 8.68E-02 342.9640264 5.69E+01 1.61E+00 3.39E+00 4.39E+00 6.03E+01 3.97E+01 6.00E+00 0.09157324 8.52E-02 354.2529472 5.59E+01 1.61E+00 3.39E+00 4.39E+00 5.93E+01 4.07E+01 6.00E+00 0.090026293 8.37E-02 365.8805356 5.49E+01 1.61E+00 3.39E+00 4.39E+00 5.83E+01 4.17E+01 6.00E+00 0.088459871 8.21E-02 377.8569517 5.39E+01 1.61E+00 3.39E+00 4.39E+00 5.73E+01 4.27E+01 6.00E+00 0.086874546 8.05E-02 390.1926602 5.28E+01 1.61E+00 3.39E+00 4.39E+00 5.62E+01 4.38E+01 6.00E+00 0.085270944 7.89E-02 402.89844 5.18E+01 1.61E+00 3.39E+00 4.39E+00 5.51E+01 4.49E+01 6.00E+00 0.083649742 7.72E-02 415.9853932 5.07E+01 1.61E+00 3.39E+00 4.39E+00 5.41E+01 4.59E+01 6.00E+00 0.082011673 7.56E-02 429.464955 4.96E+01 1.61E+00 3.39E+00 4.39E+00 5.30E+01 4.70E+01 6.00E+00 0.080357525 7.39E-02 443.3489037 4.85E+01 1.62E+00 3.38E+00 4.38E+00 5.19E+01 4.81E+01 6.00E+00 0.078688143 7.23E-02 457.6493708 4.74E+01 1.62E+00 3.38E+00 4.38E+00 5.08E+01 4.92E+01 6.00E+00 0.077004427 7.06E-02 472.3788519 4.63E+01 1.62E+00 3.38E+00 4.38E+00 4.97E+01 5.03E+01 6.00E+00 0.075307337 6.89E-02 487.5502174 4.52E+01 1.62E+00 3.38E+00 4.38E+00 4.86E+01 5.14E+01 6.00E+00 0.073597891 6.72E-02 503.176724 4.41E+01 1.62E+00 3.38E+00 4.38E+00 4.74E+01 5.26E+01 6.00E+00 0.071877164 6.55E-02 519.2720257 4.29E+01 1.62E+00 3.38E+00 4.38E+00 4.63E+01 5.37E+01 6.00E+00 0.07014629 6.37E-02 535.8501865 4.18E+01 1.63E+00 3.37E+00 4.37E+00 4.52E+01 5.48E+01 6.00E+00 0.068406463 6.20E-02 552.925692 4.07E+01 1.63E+00 3.37E+00 4.37E+00 4.40E+01 5.60E+01 6.00E+00 0.066658932 6.03E-02 570.5134628 3.95E+01 1.63E+00 3.37E+00 4.37E+00 4.29E+01 5.71E+01 6.00E+00 0.064905006 5.85E-02 588.6288667 3.84E+01 1.63E+00 3.37E+00 4.37E+00 4.18E+01 5.82E+01 6.00E+00 0.063146049 5.68E-02 607.2877327 3.72E+01 1.64E+00 3.36E+00 4.36E+00 4.06E+01 5.94E+01 6.00E+00 0.061383478 5.50E-02 626.5063647 3.61E+01 1.64E+00 3.36E+00 4.36E+00 3.95E+01 6.05E+01 6.00E+00 0.059618767 5.33E-02 646.3015556 3.50E+01 1.64E+00 3.36E+00 4.36E+00 3.83E+01 6.17E+01 6.00E+00 0.057853438 5.15E-02 666.6906023 3.38E+01 1.64E+00 3.36E+00 4.36E+00 3.72E+01 6.28E+01 6.00E+00 0.056089062 4.98E-02 687.6913204 3.27E+01 1.65E+00 3.35E+00 4.35E+00 3.60E+01 6.40E+01 6.00E+00 0.054327259 4.81E-02 709.32206 3.16E+01 1.65E+00 3.35E+00 4.35E+00 3.49E+01 6.51E+01 6.00E+00 0.05256969 4.63E-02 731.6017218 3.04E+01 1.66E+00 3.34E+00 4.34E+00 3.38E+01 6.62E+01 6.00E+00 0.050818055 4.46E-02 754.5497734 2.93E+01 1.66E+00 3.34E+00 4.34E+00 3.26E+01 6.74E+01 6.00E+00 0.049074093 4.29E-02 778.1862666 2.82E+01 1.66E+00 3.34E+00 4.34E+00 3.15E+01 6.85E+01 6.00E+00 0.047339571 4.12E-02 802.5318546 2.71E+01 1.67E+00 3.33E+00 4.33E+00 3.04E+01 6.96E+01 6.00E+00 0.045616284 3.95E-02 827.6078103 2.60E+01 1.67E+00 3.33E+00 4.33E+00 2.93E+01 7.07E+01 6.00E+00 0.043906051 3.79E-02 853.4360446 2.49E+01 1.68E+00 3.32E+00 4.32E+00 2.82E+01 7.18E+01 6.00E+00 0.042210706 3.62E-02 880.0391259 2.38E+01 1.68E+00 3.32E+00 4.32E+00 2.71E+01 7.29E+01 6.00E+00 0.040532092 3.46E-02 907.4402997 2.28E+01 1.69E+00 3.31E+00 4.31E+00 2.61E+01 7.39E+01 6.00E+00 0.038872059 3.30E-02 935.6635087 2.17E+01 1.69E+00 3.31E+00 4.31E+00 2.50E+01 7.50E+01 6.00E+00 0.037232453 3.14E-02 964.7334139 2.07E+01 1.70E+00 3.30E+00 4.30E+00 2.40E+01 7.60E+01 6.00E+00 0.035615111 2.99E-02 994.6754163 1.97E+01 1.71E+00 3.29E+00 4.29E+00 2.30E+01 7.70E+01 6.00E+00 0.034021854 2.83E-02 1025.515679 1.87E+01 1.72E+00 3.28E+00 4.28E+00 2.20E+01 7.80E+01 6.00E+00 0.032454479 2.68E-02 1057.281149 1.77E+01 1.72E+00 3.28E+00 4.28E+00 2.10E+01 7.90E+01 6.00E+00 0.03091475 2.54E-02 1089.999584 1.68E+01 1.73E+00 3.27E+00 4.27E+00 2.00E+01 8.00E+01 6.00E+00 0.029404394 2.39E-02 1123.699571 1.58E+01 1.74E+00 3.26E+00 4.26E+00 1.91E+01 8.09E+01 6.00E+00 0.027925087 2.25E-02 1158.410558 1.49E+01 1.75E+00 3.25E+00 4.25E+00 1.82E+01 8.18E+01 6.00E+00 0.026478449 2.12E-02 1194.162875 1.40E+01 1.76E+00 3.24E+00 4.24E+00 1.73E+01 8.27E+01 6.00E+00 0.025066036 1.99E-02 1230.987761 1.32E+01 1.77E+00 3.23E+00 4.23E+00 1.64E+01 8.36E+01 6.00E+00 0.023689333 1.86E-02 1268.917394 1.23E+01 1.79E+00 3.21E+00 4.21E+00 1.56E+01 8.44E+01 6.00E+00 0.02234974 1.74E-02 1307.984916 1.15E+01 1.80E+00 3.20E+00 4.20E+00 1.47E+01 8.53E+01 6.00E+00 0.02104857 1.62E-02 1348.224463 1.07E+01 1.82E+00 3.18E+00 4.18E+00 1.39E+01 8.61E+01 6.00E+00 0.019787038 1.50E-02 1389.671197 1.00E+01 1.83E+00 3.17E+00 4.17E+00 1.32E+01 8.68E+01 6.00E+00 0.018566254 1.39E-02 1432.361333 9.27E+00 1.85E+00 3.15E+00 4.15E+00 1.24E+01 8.76E+01 6.00E+00 0.017387217 1.28E-02 1476.332173 8.57E+00 1.87E+00 3.13E+00 4.13E+00 1.17E+01 8.83E+01 6.00E+00 0.016250806 1.18E-02 1521.622138 7.91E+00 1.89E+00 3.11E+00 4.11E+00 1.10E+01 8.90E+01 6.00E+00 0.015157775 1.09E-02 1568.270803 7.27E+00 1.91E+00 3.09E+00 4.09E+00 1.04E+01 8.96E+01 6.00E+00 0.014108748 9.95E-03