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教育裝備采購網首頁 > 知識產權 > 專利 > CN104383639B

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)根據駐留點和劑量節制點的位置關系，采用下式算出每個駐留點在劑量節制點處的劑量：(二)根據劑量節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：

<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)根據上式對時間t<sub>k</sub>求偏導數，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 四川省成都市一環路南一段24號</span></li>
                        <li><b class="n1">申請號</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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