Modelling the Effects of Ageing Time of Starch on the Enzymatic Activity of Three Amylolytic Enzymes

<table>Scheme depicting the mixed competitive inhibition mechanism for the interaction of an inhibitor molecule (<svg height="10.325" id="M73" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 9.0375004 10.325" width="9.0375004" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.325)">
<g transform="translate(72,-63.74)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐼</tspan>
</text>
</g>
</g>
</svg>) and an enzyme (<svg height="10.325" id="M74" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 12.225 10.325" width="12.225" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.325)">
<g transform="translate(72,-63.74)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐸</tspan>
</text>
</g>
</g>
</svg>) in presence of substrate (<svg height="10.725" id="M75" style="vertical-align:-0.1254pt" version="1.1" viewbox="0 0 11.375 10.725" width="11.375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.725)">
<g transform="translate(72,-63.42)">
<text transform="matrix(1,0,0,-1,-71.95,63.6)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑆</tspan>
</text>
</g>
</g>
</svg>). <svg height="14.925" id="M76" style="vertical-align:-3.49493pt" version="1.1" viewbox="0 0 22.1875 14.925" width="22.1875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.925)">
<g transform="translate(72,-60.06)">
<text transform="matrix(1,0,0,-1,-71.95,63.6)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑘</tspan>
</text>
<text transform="matrix(1,0,0,-1,-65.17,60.47)">
<tspan style="font-size: 8.75px; " x="0" y="0">+</tspan>
<tspan style="font-size: 8.75px; " x="5.99512" y="0">1</tspan>
</text>
</g>
</g>
</svg>, <svg height="14.475" id="M77" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 22.1875 14.475" width="22.1875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.475)">
<g transform="translate(72,-60.42)">
<text transform="matrix(1,0,0,-1,-71.95,63.6)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑘</tspan>
</text>
<text transform="matrix(1,0,0,-1,-65.17,60.47)">
<tspan style="font-size: 8.75px; " x="0" y="0">−</tspan>
<tspan style="font-size: 8.75px; " x="5.99512" y="0">1</tspan>
</text>
</g>
</g>
</svg>, and <svg height="14.925" id="M78" style="vertical-align:-3.49493pt" version="1.1" viewbox="0 0 22.1875 14.925" width="22.1875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.925)">
<g transform="translate(72,-60.06)">
<text transform="matrix(1,0,0,-1,-71.95,63.6)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑘</tspan>
</text>
<text transform="matrix(1,0,0,-1,-65.17,60.47)">
<tspan style="font-size: 8.75px; " x="0" y="0">+</tspan>
<tspan style="font-size: 8.75px; " x="5.99512" y="0">2</tspan>
</text>
</g>
</g>
</svg> are rate constants. <svg height="14.3875" id="M79" style="vertical-align:-3.25792pt" version="1.1" viewbox="0 0 23.6 14.3875" width="23.6" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.3875)">
<g transform="translate(72,-60.49)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐾</tspan>
</text>
<text transform="matrix(1,0,0,-1,-62.42,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">I</tspan>
<tspan style="font-size: 8.75px; " x="2.9144161" y="0">C</tspan>
</text>
</g>
</g>
</svg> and <svg height="14.3875" id="M80" style="vertical-align:-3.25792pt" version="1.1" viewbox="0 0 24.200001 14.3875" width="24.200001" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.3875)">
<g transform="translate(72,-60.49)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐾</tspan>
</text>
<text transform="matrix(1,0,0,-1,-62.42,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">I</tspan>
<tspan style="font-size: 8.75px; " x="2.9144161" y="0">U</tspan>
</text>
</g>
</g>
</svg> are, respectively, the competitive and the uncompetitive constants for the EI and ESI complexes.</table>

The Scientific World Journal

fig2

Figure 2

Figure 2: Modelling the Effects of Ageing Time of Starch on the Enzymatic Activity of Three Amylolytic Enzymes 