Analytical Solution for Electrical Problem Forced by a Finite-Length Needle Electrode: Implications in Electrostimulation
المؤلفون المشاركون
Berjano, Enrique
Romero-Méndez, Ricardo
Pérez-Gutiérrez, Francisco G.
Oviedo-Tolentino, Francisco
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2019، العدد 2019 (31 ديسمبر/كانون الأول 2019)، ص ص. 1-10، 10ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2019-05-19
دولة النشر
مصر
عدد الصفحات
10
التخصصات الرئيسية
الملخص EN
Needle electrodes, widely used in clinical procedures, are responsible for creating an electric field in the treated biological tissue.
This is achieved by setting a constant voltage along the length of their metallic section.
In accordance with Laplace’s equation, the electric field is spatially non-uniform around the electrode surface.
Mathematical modelling can provide useful information on the spatial distribution of electrical fields.
Indeed, exact solutions for the electrical problem are indispensable for validating numerical codes.
All the analytical models developed to date to solve the needle electrode electrical problem have been one-dimensional models, which assumed an electrode of infinite length.
We here propose the first analytical solution based on a two-dimensional model that considers the real length of the electrode in which the Laplace equation is solved through the method of separation of variables, dealing with the nonhomogeneous source term and boundary conditions by Green’s functions.
On assuming a needle electrode of given length, the problem combines boundary conditions on the electrode boundary (of the first and second kind).
Since this rules out using the Sturm-Liouville Theorem, the problem is decomposed into two different problems and the principle of superposition is used.
The solution obtained can reproduce a reasonable electric field around the electrode, especially the edge effect characterized by an extremely high gradient around the electrode tip.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Romero-Méndez, Ricardo& Pérez-Gutiérrez, Francisco G.& Oviedo-Tolentino, Francisco& Berjano, Enrique. 2019. Analytical Solution for Electrical Problem Forced by a Finite-Length Needle Electrode: Implications in Electrostimulation. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1194747
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Romero-Méndez, Ricardo…[et al.]. Analytical Solution for Electrical Problem Forced by a Finite-Length Needle Electrode: Implications in Electrostimulation. Mathematical Problems in Engineering No. 2019 (2019), pp.1-10.
https://search.emarefa.net/detail/BIM-1194747
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Romero-Méndez, Ricardo& Pérez-Gutiérrez, Francisco G.& Oviedo-Tolentino, Francisco& Berjano, Enrique. Analytical Solution for Electrical Problem Forced by a Finite-Length Needle Electrode: Implications in Electrostimulation. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1194747
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1194747
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
تقوم هذه الخدمة بالتحقق من التشابه أو الانتحال في الأبحاث والمقالات العلمية والأطروحات الجامعية والكتب والأبحاث باللغة العربية، وتحديد درجة التشابه أو أصالة الأعمال البحثية وحماية ملكيتها الفكرية. تعرف اكثر