A numerical method for imaging of biological microstructures by VHF waves

Ala G., Cassarà P., Francomano E., Ganci S., Caruso G., Gallo P. D.

Biological microstructures  Computational Mathematics  Marquardt method  Levenberg-Marquardt method  Settore MAT/08 - Analisi Numerica  Inverse problem  Non-linear model  Method of Moments  Settore MED/36 - Diagnostica Per Immagini E Radioterapia  Applied Mathematics  Levenberg&#8211  Settore ING-IND/31 - Elettrotecnica  Non ionizing waves 

Imaging techniques give a fundamental support to medical diagnostics during the pathology discovery as well as for the characterization of biological struc- tures. The imaging methods involve electromagnetic waves in a frequency range that spans from some Hz to GHz and over. Most of these methods involve scanning of wide human body areas even if only small areas need to be analyzed. In this paper, a numerical method to evaluate the shape of micro-structures for application in the medical field, with a very low in- vasiveness for the human body, is proposed. A flexible thin-wire antenna radiates the VHF waves and then, by measuring the spatial magnetic field distribution it is possible to reconstruct the micro-structures image by es- timating the location of the antenna against a sensors panel. The typical inverse problem described above is solved numerically, and first simulation results are presented in order to show the validity and the robustness of the proposed approach.

Source: Journal of computational and applied mathematics 259 (2014): 805–814. doi:10.1016/j.cam.2013.07.020

Publisher: Koninklijke Vlaamse Ingenieursvereniging, Amsterdam , Belgio

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