Research

My research area include Inverse Problems and Optimal Control Theory. In particular, I have studied the Inverse Problem of Fluorescence/Diffuse Optical Tomography and optimal control theory applied to epidemiology.

PUBLICATIONS

Peer reviewed

K. Prieto and G. Nishimura, (2017) . A new scheme of the time-domain fluorescence tomography for a semi-infinite turbid medium. Optical Review, 24(2), 242251 (available here).

K. Prieto and O. Dorn, (2017) .Sparsity and level set regularization for diffuse optical tomography using a transport model in 2D. Inverse Problems, 33(1): 014001 (available here).

Conference Proceedings

K. Prieto and G. Nishimura, (2017) . A novel approach for the time-domain fluorescence imaging of a semi-infinite turbid medium: Monte Carlo evaluation. Proc. SPIE 10059, Optical Tomography and Spectroscopy of Tissue XII, 1005910 (available here).

K. Prieto and O. Dorn, (2011) . From data to images: A shape based approach for fluorescence tomography. Science: Science: Image in Action. Proceedings of the 7th International Workshop on Data Analysis in Astronomy, 255-266 (available here).

DISSERTATIONS

Novel mathematical techniques for structural inversion and image reconstruction in medical imaging governed by a transport equation (2015). PhD. thesis, University of Manchester (available here).

Optimal control of an epidemic (2010). MSc. thesis, National Autonomous University of Mexico. In Spanish (available here).

Calculation of the energy levels of an helium atom under and without an external electric field using the Ritz Method (2007). BSc. thesis, National Autonomous University of Mexico. In Spanish (available here).