一種利用模擬分子動力學方法確定后裝源駐留時間的方法

　　摘要：本發(fā)明公開了一種利用模擬分子動力學方法確定后裝源駐留時間的方法，用于解決現(xiàn)有技術因臨床情況的復雜性，而導致駐留位較多、劑量參考點不能與駐留位一一對應等問題。該方法包括以下步驟：(一)根據(jù)駐留點和劑量節(jié)制點的位置關系，采用下式算出每個駐留點在劑量節(jié)制點處的劑量：(二)根據(jù)劑量節(jié)制點處的計算劑量與處方劑量的偏差和相鄰駐留點的時間差構成評價函數(shù)：

<mrow> <mi>O</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>=</mo> <munderover> <mi>Σ</mi> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>M</mi> </munderover> <msub> <mi>ω</mi> <mi>j</mi> </msub> <msup> <mrow> <mo>(</mo> <munderover> <mi>Σ</mi> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>N</mi> </munderover> <msubsup> <mi>d</mi> <mi>j</mi> <mi>i</mi> </msubsup> <msub> <mi>t</mi> <mi>i</mi> </msub> <mo>-</mo> <msubsup> <mi>d</mi> <mi>j</mi> <mn>0</mn> </msubsup> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>+</mo> <munder> <mi>Σ</mi> <mi>i</mi> </munder> <mi>α</mi> <msup> <mrow> <mo>(</mo> <msub> <mi>t</mi> <mrow> <mi>i</mi> <mo>+</mo> <mn>1</mn> </mrow> </msub> <mo>-</mo> <msub> <mi>t</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>;</mo> </mrow>]]></math><img file="DDA0000620104710000012.GIF" wi="981" he="151" /></maths>(三)根據(jù)上式對時間t<sub>k</sub>求偏導數(shù)，得到式(3)：<maths num="0002"><math><![CDATA[ <mrow> <mfrac> <mrow> <mo>&PartialD;</mo> <mi>O</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> <mrow> <mo>&PartialD;</mo> <msub> <mi>t</mi> <mi>k</mi> </msub> </mrow> </mfrac> <mo>=</mo> <mn>2</mn> <munderover> <mi>Σ</mi> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>M</mi> </munderover> <msub> <mi>ω</mi> <mi>j</mi> </msub> <munderover> <mi>Σ</mi> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>N</mi> </munderover> <msubsup> <mi>d</mi> <mi>j</mi> <mi>i</mi> </msubsup> <msub> <mi>t</mi> <mi>i</mi> </msub> <msubsup> <mi>d</mi> <mi>j</mi> <mi>k</mi> </msubsup> <mo>-</mo> <mn>2</mn> <munderover> <mi>Σ</mi> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>M</mi> </munderover> <msub> <mi>ω</mi> <mi>j</mi> </msub> <msubsup> <mi>d</mi> <mi>j</mi> <mn>0</mn> </msubsup> <msubsup> <mi>d</mi> <mi>j</mi> <mi>k</mi> </msubsup> <mo>+</mo> <mn>2</mn> <mi>αT</mi> <mo>;</mo> </mrow>]]></math><img file="DDA0000620104710000013.GIF" wi="984" he="160" /></maths>(四)將上式近似為一個分子動力學方程，得到分子間的相互作用力f<sub>k</sub>：<maths num="0003"><math><![CDATA[ <mrow> <mo>-</mo> <msub> <mi>f</mi> <mi>k</mi> </msub> <mo>=</mo> <mfrac> <mrow> <mo>&PartialD;</mo> <mi>O</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> <mrow> <mo>&PartialD;</mo> <msub> <mi>t</mi> <mi>k</mi> </msub> </mrow> </mfrac> <mo>=</mo> <mn>2</mn> <munderover> <mi>Σ</mi> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>M</mi> </munderover> <msub> <mi>ω</mi> <mi>j</mi> </msub> <munderover> <mi>Σ</mi> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>N</mi> </munderover> <msubsup> <mi>d</mi> <mi>j</mi> <mi>i</mi> </msubsup> <msub> <mi>t</mi> <mi>i</mi> </msub> <msubsup> <mi>d</mi> <mi>j</mi> <mi>k</mi> </msubsup> <mo>-</mo> <mn>2</mn> <munderover> <mi>Σ</mi> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>M</mi> </munderover> <msub> <mi>ω</mi> <mi>j</mi> </msub> <msubsup> <mi>d</mi> <mi>j</mi> <mn>0</mn> </msubsup> <msubsup> <mi>d</mi> <mi>j</mi> <mi>k</mi> </msubsup> <mo>+</mo> <mn>2</mn> <mi>αT</mi> <mo>;</mo> </mrow>]]></math><img file="DDA0000620104710000014.GIF" wi="1126" he="142" /></maths>(五)采用下式進行迭代，迭代過程中，通過不斷改變τ的值，得出不同的駐留時間。</span></div>
                    <img src="https://p-05.caigou.com.cn/600x450/~26e8026c/WG1sRGF0YS9TUS8yMDE3MDQxMi8yMDE0MTA3MTQzNzQuWC8yMDE0MTA3MTQzNzQuZ2lm" />
                    <ul>
                        <li><b>專利類型</b><span>發(fā)明專利</span></li>
                        <li><b class="n1">申請人</b><span>四川大學;</span></li>
                        <li><b class="n1">發(fā)明人</b><span>勾成俊;吳章文;侯氫;</span></li>
                        <li><b class="n2">地址</b><span>610000 四川省成都市一環(huán)路南一段24號</span></li>
                        <li><b class="n1">申請?zhí)?/b><span>CN201410714374.X</span></li>
                        <li><b>申請時間</b><span>2014年11月28日</span></li>
                        <li><b>申請公布號</b><span>CN104383639B</span></li>
                        <li><b>申請公布時間</b><span>2017年04月12日</span></li>
                        <li><b class="n1">分類號</b><span>A61N5/00(2006.01)I;</span></li>
                    </ul>
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