Literature DB >> 35958041

THE PROHOROV METRIC FRAMEWORK AND AGGREGATE DATA INVERSE PROBLEMS FOR RANDOM PDEs.

H T Banks1, K B Flores1, I G Rosen2, E M Rutter1, Melike Sirlanci2, W Clayton Thompson1,3.   

Abstract

We consider nonparametric estimation of probability measures for parameters in problems where only aggregate (population level) data are available. We summarize an existing computational method for the estimation problem which has been developed over the past several decades [24, 5, 12, 28, 16]. Theoretical results are presented which establish the existence and consistency of very general (ordinary, generalized and other) least squares estimates and estimators for the measure estimation problem with specific application to random PDEs.

Entities:  

Keywords:  34A55; 46S50; 62G07; 93E24; aggregate data; existence and approximation of estimators; individual data; inverse problems

Year:  2018        PMID： 35958041      PMCID： PMC9365078     

Source DB:  PubMed          Journal:  Commun Appl Anal        ISSN： 1083-2564


  41 in total

1.  Studies on a wearable, electronic, transdermal alcohol sensor.

Authors:  R M Swift; C S Martin; L Swette; A LaConti; N Kackley
Journal:  Alcohol Clin Exp Res       Date:  1992-08       Impact factor: 3.455

2.  Development of a real-time repeated-measures assessment protocol to capture change over the course of a drinking episode.

Authors:  Susan E Luczak; I Gary Rosen; Tamara L Wall
Journal:  Alcohol Alcohol       Date:  2015-01-07       Impact factor: 2.826

Review 3.  Mathematically modeling the biological properties of gliomas: A review.

Authors:  Nikolay L Martirosyan; Erica M Rutter; Wyatt L Ramey; Eric J Kostelich; Yang Kuang; Mark C Preul
Journal:  Math Biosci Eng       Date:  2015-08       Impact factor: 2.080

4.  Simulation of anisotropic growth of low-grade gliomas using diffusion tensor imaging.

Authors:  Saâd Jbabdi; Emmanuel Mandonnet; Hugues Duffau; Laurent Capelle; Kristin Rae Swanson; Mélanie Pélégrini-Issac; Rémy Guillevin; Habib Benali
Journal:  Magn Reson Med       Date:  2005-09       Impact factor: 4.668

5.  Physiologically based pharmacokinetic models for the transport of trichloroethylene in adipose tissue.

Authors:  R A Albanese; H T Banks; M V Evans; L K Potter
Journal:  Bull Math Biol       Date:  2002-01       Impact factor: 1.758

6.  A physiologically based pharmacokinetic model for trichloroethylene in the male long-evans rat.

Authors:  J E Simmons; W K Boyes; P J Bushnell; J H Raymer; T Limsakun; A McDonald; Y M Sey; M V Evans
Journal:  Toxicol Sci       Date:  2002-09       Impact factor: 4.849

7.  Blind Deconvolution for Distributed Parameter Systems with Unbounded Input and Output and Determining Blood Alcohol Concentration from Transdermal Biosensor Data.

Authors:  I G Rosen; Susan E Luczak; Jordan Weiss
Journal:  Appl Math Comput       Date:  2014-03-15       Impact factor: 4.091

8.  Biocomputing: numerical simulation of glioblastoma growth using diffusion tensor imaging.

Authors:  Pierre-Yves Bondiau; Olivier Clatz; Maxime Sermesant; Pierre-Yves Marcy; Herve Delingette; Marc Frenay; Nicholas Ayache
Journal:  Phys Med Biol       Date:  2008-01-15       Impact factor: 3.609

9.  Patient-specific metrics of invasiveness reveal significant prognostic benefit of resection in a predictable subset of gliomas.

Authors:  Anne L Baldock; Sunyoung Ahn; Russell Rockne; Sandra Johnston; Maxwell Neal; David Corwin; Kamala Clark-Swanson; Greg Sterin; Andrew D Trister; Hani Malone; Victoria Ebiana; Adam M Sonabend; Maciej Mrugala; Jason K Rockhill; Daniel L Silbergeld; Albert Lai; Timothy Cloughesy; Guy M McKhann; Jeffrey N Bruce; Robert C Rostomily; Peter Canoll; Kristin R Swanson
Journal:  PLoS One       Date:  2014-10-28       Impact factor: 3.240

10.  Mathematical Analysis of Glioma Growth in a Murine Model.

Authors:  Erica M Rutter; Tracy L Stepien; Barrett J Anderies; Jonathan D Plasencia; Eric C Woolf; Adrienne C Scheck; Gregory H Turner; Qingwei Liu; David Frakes; Vikram Kodibagkar; Yang Kuang; Mark C Preul; Eric J Kostelich
Journal:  Sci Rep       Date:  2017-05-31       Impact factor: 4.379
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