JP5632539B2 - 興奮伝播図を計算するためのシステムおよび方法 - Google Patents
興奮伝播図を計算するためのシステムおよび方法 Download PDFInfo
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Description
本出願は、2011年5月4日にファイルされた、発明の名称「SYSTEM AND METHODS FOR COMPUTING ACTIVATION MAPS(興奮伝播図を計算するためのシステムおよび方法)」の米国仮特許出願第61/482,290号ならびに、2010年9月17日にファイルされた、発明の名称「SYSTEM AND METHODS FOR COMPUTING ACTIVATION MAPS(興奮伝播図を計算するためのシステムおよび方法)」の米国仮特許出願第61/383,945号の優先権の利益を主張するものである。上記の特許出願各々の内容全体を本明細書に援用する。
この元になる仮定として、ある頂点と近傍の別の頂点との間で信号の形状が大きく変わることはなく、各近傍の信号対の間では時間シフトが観察されるだけであるということがある。
XiおよびXjに関連する、対応のEGMをそれぞれsiおよびsjとする。
ここで、Nは2よりも大きいため、系は過剰決定系である。一例として、未知数VxおよびVyの解を、最小平均二乗法で計算することができ、これによって、各々の式を求解する際の誤差の二乗和を最小化する解を得ることができる。
言い方を変えると、2つの近傍位置における2つの絶対興奮到達時間の差は、1つの位置から別の位置に移動するのに費やされる時間に等しい。この式は、表面の各エッジに対して記述でき、よって、一連の方程式は、エッジ数NeおよびNv個の未知数と同じだけの式を含む。たとえば、この包括的な一連の方程式の行列は、以下の形を取ることができる。
1.信号の第2の最大(最小)が、第1の最大(最小)よりも少なくともA1倍低く大きい。信号が正であれば最大値を用いればよく、信号が負であれば最小値を用いればよい。
2.負の勾配の第2の最大の値が、第1の最大値の値よりも少なくともA2分の1である。
基準1は、特定の電位図が複数の隆起部を含まないことを保証するのに役立つ。基準2は、最大dV/dt値が曖昧ではないことを保証するのに役立つ。一例として、A1を70%に設定することができ、A2を50%に設定することができる。パラメーターA1およびA2は、(たとえば、図1のユーザーインターフェース34を介して)プログラム可能である。
上述した制限のないシステム同様に、全体的な興奮到達時間G1〜GNを同時に得ることができるか、あるいは、反復する手法を用いて興奮到達時間を出力することが可能である。
新たな系S’を求解し、一組の表面点に対する一組の全体的な興奮到達時間G1〜GNを得ることが可能である。よって、この新たな系S’の解は、TiをリンクするNv個の相対遅延と、すでに計算されたNe値との間に、良好な妥協点(たとえば、最小二乗の意味で)を与える。すなわち、前の例とは対照的に、信頼できる位置に対する全体的な興奮到達時間は、それらの位置に対するLATと必ずしも等しいわけではない。
Claims (13)
- 患者の解剖学的構造の表面膜上の複数の点のうち複数の近傍点に対応する電気信号間の相対的なタイミングに基づいて、局所的な興奮ベクトルを計算し、
前記近傍点の各々に対する興奮到達時間を、対応の局所的な興奮ベクトルの関数として計算することを含む方法を行うための、コンピューターで実行可能な指示を記憶する、コンピューター読取り可能な媒体。 - 前記局所的な興奮ベクトルを計算し、前記興奮到達時間を計算することが、方向性興奮アルゴリズムに対する連立一次方程式に集合的に対応し、前記実行可能な指示は、前記複数の点の適切なサブセットに対する別の興奮到達時間の計算に基づいて、前記連立一次方程式を制限するためのコードをさらに含む、請求項1に記載のコンピューター読取り可能な媒体。
- 前記別の興奮到達時間の計算が、前記複数の点の前記適切なサブセットに対する興奮到達時間を計算するのに、前記方向性興奮アルゴリズムとは異なる第2のアルゴリズムを用いる、請求項2に記載のコンピューター読取り可能な媒体。
- 前記実行可能な指示は、前記電気信号の負の最大勾配に基づいて、前記別の興奮到達時間を計算するためのコードをさらに含む、請求項2に記載のコンピューター読取り可能な媒体。
- 前記実行可能な指示は、前記別の興奮到達時間の計算の信頼性に関するあらかじめ定められた基準に基づいて、前記複数の点の前記適切なサブセットを選択するためのコードをさらに含む、請求項2に記載のコンピューター読取り可能な媒体。
- 前記局所的な興奮ベクトルを計算することが、複数対の前記近傍点に対する信号間の遅延時間を求めることをさらに含む、請求項1に記載のコンピューター読取り可能な媒体。
- 前記表面はポリゴンに分割され、前記ポリゴン各々の前記近傍点の組が頂点を規定し、前記局所的な興奮ベクトルは、それぞれのポリゴンにおける近傍点の隣接する対の各々に対して求められる前記遅延時間に基づいて、各ポリゴンに対して計算され、
前記実行可能な指示は、
前記複数の点から時間原点として基準点を選択するためのコードをさらに含み、
前記興奮到達時間は、前記基準点から開始して、前記表面上を前記基準点から離れる方向に移動しながら前記近傍点の各々に対して反復計算される、請求項6に記載のコンピューター読取り可能な媒体。 - XiおよびXjは、位置興奮ベクトルViおよびVjを計算した前記表面膜上の隣接するポリゴンの共通のエッジを画定する、請求項8に記載のコンピューター読取り可能な媒体。
- 前記表面膜は、患者の脳または心臓のうちの一方に対応する、請求項1〜9のいずれか1項に記載のコンピューター読取り可能な媒体。
- 前記電気信号は、前記表面膜に対する再構成された電位図を含み、
前記電位図は、侵襲的か非侵襲的の少なくともいずれかで測定される電気信号から求められる、請求項1〜10のいずれか1項に記載のコンピューター読取り可能な媒体。 - 前記実行可能な指示は、前記表面上の前記複数の点のうち少なくとも相当な部分に対して計算される前記興奮到達時間を表すグラフィックな画像を生成するためのコードをさらに含む、請求項1〜11のいずれか1項に記載のコンピューター読取り可能な媒体。
- 前記実行可能な指示は、
前記表面の所望の部分を選択するためのユーザー入力を受信し、
前記表面の前記所望の部分に対する前記興奮到達時間を表す前記グラフィックな画像を生成するためのコードをさらに含む、請求項12に記載のコンピューター読取り可能な媒体。
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Application Number | Priority Date | Filing Date | Title |
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US38394510P | 2010-09-17 | 2010-09-17 | |
US61/383,945 | 2010-09-17 | ||
US201161482290P | 2011-05-04 | 2011-05-04 | |
US61/482,290 | 2011-05-04 | ||
PCT/US2011/051954 WO2012037471A2 (en) | 2010-09-17 | 2011-09-16 | System and methods for computing activation maps |
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JP2013537096A JP2013537096A (ja) | 2013-09-30 |
JP5632539B2 true JP5632539B2 (ja) | 2014-11-26 |
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EP (1) | EP2615969B8 (ja) |
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