Browsing by Subject "Inverse problems"

Now showing items 1-12 of 12

    • A novel synthetic model of the glucose-insulin system for patient-wise inference of physiological parameters ... 
      Silva Contreras, Sebastián Jesús; Medina Ortiz, David; Conca Rosende, Carlos; Olivera Nappa, Álvaro (Frontiers Media, 2020)
      Existing mathematical models for the glucose-insulin (G-I) dynamics often involve variables that are not susceptible to direct measurement. Standard clinical tests for measuring G-I levels for diagnosing potential diseases ...
    • A source time reversal method for seismicity induced by mining 
      Brevis, Rodrigo I.; Ortega Palma, Jaime; Pardo, David (American Institute of Mathematical Sciences, 2017)
      In this work, we present a modified Time-Reversal Mirror (TRM) Method, called Source Time Reversal (STR), to find the spatial distribution of a seismic source induced by mining activity. This methodology is based on a known ...
    • Bottom detection through surface measurements on water waves 
      Fontelos, MA; Lecaros, R.; Lopez Rios, J. C.; Ortega Palma, Jaime (SIAM publications, 2017)
      The direct problem of water-wave equations is the problem of determining the surface and its velocity potential, in time T > 0, for a given initial profile and velocity potential, where the profile of the bottom, the ...
    • Identifiability and Stability of an Inverse Problem Involving a Fredholm Equation 
      Conca Rosende, Carlos; Lecaros Lira, Rodrigo; Ortega Palma, Jaime; Rosier, Lionel (Shanghai Scientific Technology Literature, 2015)
      The authors study a linear inverse problem with a biological interpretation, which is modelled by a Fredholm integral equation of the first kind, where the kernel is represented by step functions. Based on different ...
    • Inverse Modeling of Moving Average Isotropic Kernels for Non-parametric Three-Dimensional Gaussian Simulation 
      Peredo Andrade, Oscar Francisco; Ortiz Cabrera, Julián; Leuangthong, Oy (Springer, 2016)
      Moving average simulation can be summarized as a convolution between a spatial kernel and a white noise random field. The kernel can be calculated once the variogram model is known. An inverse approach to moving average ...
    • Inverse problems in blood flow modeling: a review 
      Nolte, David Julian; Bertoglio Beltrán, Cristóbal Andrés (Wiley, 2022)
      Mathematical and computational modeling of the cardiovascular system is increasingly providing non-invasive alternatives to traditional invasive clinical procedures. Moreover, it has the potential for generating additional ...
    • Neural network approach for the calculation of potential coefficients in quantum mechanics 
      Ossandón, Sebastián; Reyes, Camilo; Cumsille, Patricio; Reyes, Carlos M. (Elsevier, 2017)
      A numerical method based on artificial neural networks is used to solve the inverse Schrödinger equation for a multi-parameter class of potentials. First, the finite element method was used to solve repeatedly the direct ...
    • On the heterogeneous spread of COVID-19 in Chile 
      Freire Flores, Danton Igor; Llanovarced Kawles, Nyna Koyllor; Sánchez Daza, Anamaría; Olivera Nappa, Alvaro María (Elsevier, 2021)
      Non-pharmaceutical interventions (NPIs) have played a crucial role in controlling the spread of COVID-19. Nevertheless, NPI efficacy varies enormously between and within countries, mainly because of population and behavioral ...
    • On the identification of a rigid body immersed in a fluid: A numerical approach 
      Alvarez, Catalina; Conca Rosende, Carlos; Lecaros, Rodrigo; Ortega Palma, Jaime (Elsevier, 2008-11)
      This work deals with the study of an inverse geometric problem in fluid mechanics. In particular, we are interested in the numerical reconstruction of a rigid body which is immersed in a cavity, filled with a fluid, by ...
    • Simultaneous source and attenuation reconstruction in SPECT using ballistic and single scattering data 
      Courdurier Bettancourt, Matías; Monard, F.; Osses Alvarado, Axel; Romero, F. (IOS Press, 2015)
      In medical single-photon emission computed tomography (SPECT) imaging, we seek to simultaneously obtain the internal radioactive sources and the attenuation map using not only ballistic measurements but also first-order ...
    • Size estimates of an obstacle in a stationary Stokes fluid 
      Beretta, E.; Cavaterra, C.; Ortega Palma, Jaime; Zamorano, S. (IOP Publishing Ltd, 2017)
      In this work we are interested in estimating the size of a cavity D immersed in a bounded domain Omega subset of R-d, d = 2, 3, filled with a viscous fluid governed by the Stokes system, by means of velocity and Cauchy ...
    • Source time reversal (STR) method for linear elasticity 
      Brevis, Ignacio; Rodríguez-Rozas, Ángel; Ortega, Jaime H.; Pardo, David (Elsevier Ltd, 2019)
      © 2018 Elsevier Ltd We study the problem of source reconstruction for a linear elasticity problem applied to seismicity induced by mining. We assume the source is written as a variable separable function f(x)g(t). We first ...