Numerical Solutions for a Model of Tissue Invasion and Migration of Tumour Cells

<table>Tumour cell migration and interactions between the tumour and the surrounding tissue: tumour cell density (solid), ECM density (dashed), and MDE concentration (dashdot). Solutions to (<a href="https://static.hindawi.com/articles/cmmm/volume-2011/452320/figures/#EEq1">1</a>), (<a href="https://static.hindawi.com/articles/cmmm/volume-2011/452320/figures/#EEq4">4</a>), (<a href="https://static.hindawi.com/articles/cmmm/volume-2011/452320/figures/#EEq5">5</a>), (<a href="https://static.hindawi.com/articles/cmmm/volume-2011/452320/figures/#EEq7">7</a>) with the parameter values <svg height="13.6125" id="M107" style="vertical-align:-2.34499pt" version="1.1" viewbox="0 0 54.799999 13.6125" width="54.799999" xmlns="http://www.w3.org/2000/svg">
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<g transform="translate(72,-61.11)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝛾</tspan>
<tspan style="font-size: 12.50px; " x="9.8148546" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="21.855244" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="28.106745" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="31.232494" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="37.483994" y="0">2</tspan>
</text>
</g>
</g>
</svg> and <svg height="13.55" id="M108" style="vertical-align:-2.29482pt" version="1.1" viewbox="0 0 42.962502 13.55" width="42.962502" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.55)">
<g transform="translate(72,-61.16)">
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<tspan style="font-size: 12.50px; " x="0" y="0">𝜂</tspan>
<tspan style="font-size: 12.50px; " x="9.7148314" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="21.75522" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="28.00672" y="0">0</tspan>
</text>
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</g>
</svg>.</table>

Computational and Mathematical Methods in Medicine

fig5

Figure 5

Figure 5: Numerical Solutions for a Model of Tissue Invasion and Migration of Tumour Cells 