Scale Space Methods for Analysis of Type 2 Diabetes Patients' Blood Glucose Values

<table>The solid line shows the density estimate <svg height="14.7125" id="M65" style="vertical-align:-3.22282pt" version="1.1" viewbox="0 0 30.9625 14.7125" width="30.9625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.7125)">
<g transform="translate(72,-60.23)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑇</tspan>
</text>
<text transform="matrix(1,0,0,-1,-65.07,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">ℎ</tspan>
</text>
<text transform="matrix(1,0,0,-1,-59.53,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">(</tspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">𝑡</tspan>
<tspan style="font-size: 12.50px; " x="8.0769377" y="0">)</tspan>
</text>
</g>
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</svg>, with data from the full cohort, and shows how readings are spread through the day. We have used a Gaussian kernel smooth with the data-driven bandwidth <svg height="10.95" id="M66" style="vertical-align:-0.1254pt" version="1.1" viewbox="0 0 24.1875 10.95" width="24.1875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.95)">
<g transform="translate(72,-63.24)">
<text transform="matrix(1,0,0,-1,-71.95,63.41)">
<tspan style="font-size: 12.50px; " x="0" y="0">ℎ</tspan>
<tspan style="font-size: 12.50px; " x="10.677562" y="0">=</tspan>
</text>
</g>
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</svg> 51 min. The dashed line shows the kernel scaled for visibility. All data are treated as circular statistics.</table>

Computational and Mathematical Methods in Medicine

fig1

Figure 1

Figure 1: Scale Space Methods for Analysis of Type 2 Diabetes Patients' Blood Glucose Values 