Mathematical Modeling and Analysis of Nonlinear Enzyme Catalyzed Reaction Processes

<table>Profile of the normalized concentrations of substrate <svg height="7.9499998" id="M92" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 9.2749996 7.9499998" width="9.2749996" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,7.675)"><path d="M515 96q-37 -44 -84.5 -76t-71.5 -32q-12 0 -18 7t-6 34t10 75l19 89h-2q-87 -113 -181 -176q-43 -29 -83 -29q-46 0 -46 63q0 31 9 67l52 222q7 36 -1 36q-10 0 -76 -50l-13 24q47 45 92 71.5t67 26.5q18 0 21 -16.5t-8 -65.5l-56 -242q-16 -67 13 -67q41 0 114 74
t114 146l32 145l74 26h11q-52 -199 -80 -347q-8 -39 6 -39q7 0 32 17.5t47 39.5z" id="x1D462"></path></g>
</svg> is calculated using (<a href="https://static.hindawi.com/articles/jtc/volume-2013/931091/figures/#EEq47">33</a>) for various values of dimensionless parameter<svg height="16.3125" id="M93" style="vertical-align:-3.27605pt" version="1.1" viewbox="0 0 21.512501 16.3125" width="21.512501" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,5.725,12.162)"><path d="M529 97q-70 -109 -136 -109q-41 0 -56 94q-23 144 -37 284q-38 -88 -99 -202.5t-93 -156.5q-26 -8 -76 -19l-9 21q71 78 145.5 193t124.5 232q-5 84 -15 128q-12 55 -29.5 75.5t-42.5 20.5q-21 0 -45 -13l-8 24q16 17 46 30t55 13q43 0 70 -46.5t40 -169.5
q27 -249 51 -392q7 -46 23 -46q24 0 70 60z" id="x1D706"></path></g>
<g transform="matrix(.012,-0,0,-.012,15.113,16.25)"><path d="M384 0h-275v27q67 5 81.5 18.5t14.5 68.5v385q0 38 -7.5 47.5t-40.5 10.5l-48 2v24q85 15 178 52v-521q0 -55 14.5 -68.5t82.5 -18.5v-27z" id="x31"></path></g>
</svg>. Solid line: (<a href="https://static.hindawi.com/articles/jtc/volume-2013/931091/figures/#EEq47">33</a>); dotted line: numerical simulation.</table>

Journal of Theoretical Chemistry

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Figure 2

Figure 2: Mathematical Modeling and Analysis of Nonlinear Enzyme Catalyzed Reaction Processes 