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首页> 外文期刊>Journal of Biological Physics >Theoretical and Computational Multiple Regression Study of Gastric Electrical Activity Using Dipole Tracing from Magnetic Field Measurements
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Theoretical and Computational Multiple Regression Study of Gastric Electrical Activity Using Dipole Tracing from Magnetic Field Measurements

机译：从磁场测量中利用偶极子追踪研究胃电活动的理论和计算多元回归

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摘要

The biomagnetic inverse problem has captured the interest of both mathematicians and physicists due to its important applications in the medical field. As a result of our experience in analyzing the electrical activity of the gastric smooth muscle, we present here a theoretical model of the magnetic field in the stomach and a computational implementation whereby we demonstrate its realism and usefulness. The computational algorithm developed for this purpose consists of dividing the magnetic field signal input surface into centroid-based grids that allow recursive least-squares approximations to be applied, followed by comparison tests in which the locations of the best-fitting current dipoles are determined. In the second part of the article, we develop a multiple-regression analysis of experimental gastric magnetic data collected using Superconducting QUantum Interference Device (SQUID) magnetometers and successfully processed using our algorithm. As a result of our analysis, we conclude on statistical grounds that it is sufficient to model the electrical activity of the GI tract using only two electric current dipoles in order to account for the magnetic data recorded non-invasively with SQUID magnetometers above the human abdomen.
机译：生物磁逆问题由于其在医学领域的重要应用而引起了数学家和物理学家的兴趣。由于我们在分析胃平滑肌电活动方面的经验，我们在这里介绍了胃中磁场的理论模型和计算实现，从而证明了其真实性和实用性。为此目的而开发的计算算法包括：将磁场信号输入表面划分为基于质心的网格，以应用递归最小二乘近似，然后进行比较测试，确定最合适的电流偶极子的位置。在本文的第二部分中，我们开发了使用超导量子干涉仪（SQUID）磁力计收集并通过我们的算法成功处理的实验胃磁数据的多元回归分析。作为我们分析的结果，我们从统计学的角度得出结论，仅使用两个电流偶极子就可以对胃肠道的电活动进行建模，以解决用SQUID磁力计无创记录在人体腹部上方的磁数据。

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