2017/07/27 by Natalia N. Salva, Salva, Natalia N., María S. Herrera +7
Engineering · Mathematics · Medicine · #Biological Physics (physics.bio-ph) #FOS: Physical sciences #Infrared Thermography in Medicine #Numerical methods in inverse problems #Photoacoustic and Ultrasonic Imaging #Thermoelastic and Magnetoelastic Phenomena #Thermography and Photoacoustic Techniques
paper · pdf · doi:10.48550/arxiv.1707.09009
openalex publication_date 2017/07/27 · openalex created_date 2022/09/02 · openalex updated_date 2026/07/28
A boundary value problem, which could represent a transcendent temperature\nconduction problem with evaporation in a part of the boundary, was studied to\ndetermine unknown thermophysical parameters, which can be constants or time\ndependent functions. The goal of this paper was elucidate which parameters may\nbe determined using only the measured superficial temperature in part of the\nboundary of the domain. We formulated a nonlinear inverse problem to determine\nthe unknown parameters and a sensitivity analysis was also performed. In\nparticular, we introduced a new way of computing a sensitivity analysis of a\nparameter which is variable in time. We applied the proposed method to model\ntissue temperature changes under transient conditions in a biological problem:\nthe hamster cheek pouch. In this case, the time dependent unknown parameter can\nbe associated to the loss of heat due to water evaporation at the superficial\nlayer of the pouch. Finally, we performed the sensitivity analysis to determine\nthe most sensible parameters to variations of the superficial experimental data\nin the hamster cheek pouch.\n