Well-Posedness Results for a Class of Toxicokinetic Models

Abstract

sThis paper addresses theoretical issues related to a class of nonlinear parabolic systems used in toxicokinetic modeling. We establish the well-posedness of these systems in a weak or variatioaal setting by proving the existance of a unique solution which depends continuously oa the data. These results are then applied specifically to tbe model equatious for a physiologically based pharmacokinetic model for tbe systemic transport of trichloroethylene (TCE), which is the motivating example for our efforts here.

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Document Details

Document Type
Technical Report
Publication Date
Jul 24, 2001
Accession Number
ADA454441

Entities

People

  • H. Thomas Banks
  • Laura K. Potter

Organizations

  • North Carolina State University

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Abstracts
  • Adipose Tissue
  • Blood
  • Boundaries
  • Cell Size
  • Cells
  • Central Nervous System
  • Computational Science
  • Convergence
  • Equations
  • Fat Cells
  • Hilbert Space
  • Inequalities
  • Inverse Problems
  • North Carolina
  • Sequences
  • Tissues

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Theoretical Analysis.
  • Toxicology/Environmental Toxicology