Mathematical Model of the Effect of Interstitial Fluid Pressure on Angiogenic Behavior in Solid Tumors

<table>The effect of varying <svg height="11.05" id="M151" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 13.2625 11.05" width="13.2625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.05)">
<g transform="translate(72,-63.16)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑝</tspan>
</text>
<text transform="matrix(1,0,0,-1,-65.84,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑒</tspan>
</text>
</g>
</g>
</svg> (mm Hg) on AGF concentrations (inset) and angiogenic activity for fixed <svg height="20.025" id="M152" style="vertical-align:-4.74141pt" version="1.1" viewbox="0 0 110.0625 20.025" width="110.0625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,20.025)">
<g transform="translate(72,-55.98)">
<text transform="matrix(1,0,0,-1,-71.95,60.76)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐿</tspan>
</text>
<text transform="matrix(1,0,0,-1,-63.1,57.63)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑝</tspan>
</text>
<text transform="matrix(1,0,0,-1,-54.85,60.76)">
<tspan style="font-size: 12.50px; " x="0" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="12.040389" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="18.291889" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="21.417639" y="0">8</tspan>
<tspan style="font-size: 12.50px; " x="27.66914" y="0">6</tspan>
<tspan style="font-size: 12.50px; " x="36.696304" y="0">×</tspan>
<tspan style="font-size: 12.50px; " x="47.473892" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="53.725391" y="0">0</tspan>
</text>
<text transform="matrix(1,0,0,-1,5.13,65.93)">
<tspan style="font-size: 8.75px; " x="0" y="0">−</tspan>
<tspan style="font-size: 8.75px; " x="5.99512" y="0">5</tspan>
</text>
</g>
</g>
</svg> mm/s/mm Hg. This alters the value of the convection parameters <svg height="20.975" id="M153" style="vertical-align:-4.77652pt" version="1.1" viewbox="0 0 18.825001 20.975" width="18.825001" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,20.975)">
<g transform="translate(72,-55.22)">
<text transform="matrix(1,0,0,-1,-70.19,62.57)">
<tspan style="font-size: 12.50px; " x="0" y="0"></tspan>
<tspan style="font-size: 12.50px; " x="-1.76" y="2.54">𝐾</tspan>
</text>
<text transform="matrix(1,0,0,-1,-61.42,56.91)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑗</tspan>
</text>
</g>
</g>
</svg>.</table>

Computational and Mathematical Methods in Medicine

fig4

Figure 4

Figure 4: Mathematical Model of the Effect of Interstitial Fluid Pressure on Angiogenic Behavior in Solid Tumors 