J. Escalante-Martínez, L. Morales-Mendoza, C. Calderón-Ramón, L. D. R. Juarez, E. S. Paredes, J. García, J. Laguna-Camacho, Sergio Natan González-Rocha, E. Mejía-Sánchez, J. Garrido-Meléndez, Héctor D López-Calderón, Jaime Martínez-Castillo
{"title":"Fractional Derivatives modeling dielectric properties of biological tissue","authors":"J. Escalante-Martínez, L. Morales-Mendoza, C. Calderón-Ramón, L. D. R. Juarez, E. S. Paredes, J. García, J. Laguna-Camacho, Sergio Natan González-Rocha, E. Mejía-Sánchez, J. Garrido-Meléndez, Héctor D López-Calderón, Jaime Martínez-Castillo","doi":"10.1109/INTERCON.2018.8526460","DOIUrl":null,"url":null,"abstract":"Mathematical modeling of the biological parameters of biological tissue involves the analysis of derivatives of arbitrary order, on the one hand there is a method of finite differences in the time domain FDTD, which starts from the discretization of Maxwell’s rotational equations and on the other hand Numerical methods of fractional derivatives have been developed. Until now, there are no solid, systematic and well-established bridges between one development and another that allow progress in the study. Serve this as a panoramic for future work1.","PeriodicalId":305576,"journal":{"name":"2018 IEEE XXV International Conference on Electronics, Electrical Engineering and Computing (INTERCON)","volume":"98 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2018 IEEE XXV International Conference on Electronics, Electrical Engineering and Computing (INTERCON)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/INTERCON.2018.8526460","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
Mathematical modeling of the biological parameters of biological tissue involves the analysis of derivatives of arbitrary order, on the one hand there is a method of finite differences in the time domain FDTD, which starts from the discretization of Maxwell’s rotational equations and on the other hand Numerical methods of fractional derivatives have been developed. Until now, there are no solid, systematic and well-established bridges between one development and another that allow progress in the study. Serve this as a panoramic for future work1.