发明名称 Method for forecasting the contrast medium flow in a living body
摘要 A method is disclosed for forecasting the contrast medium flow in a living body, in particular in a patient, in which a defined test bolus with a contrast medium is injected, preferably intravenously and with a known injection flow profile, into the body, preferably into a blood vessel. The time concentration profile of the contrast medium is observed and determined over a limited time period with a number of measuring instants at at least one location in the body with the aid of a tomographic method. The time profile of the contrast medium concentration of another contrast medium dose is forecast with the aid of a linear cause/effect formulation from the measured data obtained via the distribution of the contrast medium. The following calculation formula is then used for forecasting the time concentration profile {tilde over (c)}R(t) of the contrast medium at at least one of the previously measured locations of the body: <maths id="MATH-US-00001" num="00001"> <math overflow="scroll"> <mrow> <mrow> <msub> <mover> <mi>c</mi> <mo>~</mo> </mover> <mi>R</mi> </msub> <mo>⁡</mo> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> <mo>=</mo> <mrow> <mfrac> <mn>1</mn> <msub> <mi>F</mi> <mi>T</mi> </msub> </mfrac> <mo>⁢</mo> <mrow> <munderover> <mo>∑</mo> <mrow> <mi>n</mi> <mo>=</mo> <mi>na</mi> </mrow> <mrow> <mi>n</mi> <mo>=</mo> <mi>ne</mi> </mrow> </munderover> <mo>⁢</mo> <mrow> <msubsup> <mo>∫</mo> <mrow> <mi>x</mi> <mo>=</mo> <mi>xa</mi> </mrow> <mrow> <mi>x</mi> <mo>=</mo> <mi>xe</mi> </mrow> </msubsup> <mo>⁢</mo> <mrow> <mrow> <mo>ⅆ</mo> <msup> <mi>t</mi> <mi>'</mi> </msup> </mrow> <mo>⁢</mo> <mrow> <msub> <mover> <mi>c</mi> <mo>~</mo> </mover> <mi>R</mi> </msub> <mo>⁡</mo> <mrow> <mo>(</mo> <mrow> <mi>t</mi> <mo>+</mo> <msub> <mi>t</mi> <mrow> <mn>0</mn> <mo>⁢</mo> <mi>T</mi> </mrow> </msub> <mo>-</mo> <mrow> <mi>n</mi> <mo>⁢</mo> <mstyle> <mspace width="0.3em" height="0.3ex"/> </mstyle> <mo>⁢</mo> <msub> <mi>Delta</mi> <mi>T</mi> </msub> </mrow> <mo>-</mo> <msup> <mi>t</mi> <mi>'</mi> </msup> </mrow> <mo>)</mo> </mrow> </mrow> <mo>⁢</mo> <mrow> <mrow> <msubsup> <mi>b</mi> <mi>R</mi> <mi>'</mi> </msubsup> <mo>⁡</mo> <mrow> <mo>(</mo> <msup> <mi>t</mi> <mi>'</mi> </msup> <mo>)</mo> </mrow> </mrow> <mo>.</mo> </mrow> </mrow> </mrow> </mrow> </mrow> </mrow> </math> </maths>
申请公布号 US7477929(B2) 申请公布日期 2009.01.13
申请号 US20060352227 申请日期 2006.02.13
申请人 SIEMENS AKTIENGESELLSCHAFT 发明人 KLOTZ ERNST;RAUSCHER ANNABELLA
分类号 A61B6/00;A61B5/05 主分类号 A61B6/00
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