Parameter Estimation Techniques for Transport Equations with Application to Population Dispersal and Tissue Bulk Flow Models.

Abstract

The authors develop techniques for estimating the coefficients, boundary data, and initial data associated with transport equations (or more generally, parabolic distributed models). Their estimation schemes are based on cubic spline approximations, for which convergence results are given. They discuss the performance of these techniques in two investigations of biological interest: (1) transport of labeled sucrose in brain tissue white matter, and (2) insect dispersal that cannot be modeled by a random diffusion mechanism alone. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1982
Accession Number
ADA120394

Entities

People

  • H. Thomas Banks
  • P. Kareiva

Organizations

  • Brown University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Applied Mathematics
  • Boltzmann Equation
  • Brain
  • Computational Science
  • Differential Equations
  • Equations
  • Experimental Data
  • Experimental Design
  • Functional Analysis
  • Generators
  • Hilbert Space
  • Information Science
  • Linear Arrays
  • Mathematical Analysis
  • Partial Differential Equations
  • Statistics
  • Systems Biology

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Ocean-Atmosphere Mesoscale Modeling, Data Assimilation, and Flux Boundary Layers
  • Statistical inference.