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Space-dependent perfusion coefficient identification in the transient bio-heat equation

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Abstract

The identification of the space-dependent perfusion coefficient in the one-dimensional transient bio-heat conduction equation is investigated. While Dirichlet boundary conditions are assumed, the additional measurement necessary to render a unique solution is either a heat-flux measurement or a time-average temperature measurement inside the space region of interest. A numerical approach based on the Crank–Nicolson finite-difference scheme combined with the first-order Tikhonov’s regularization method is developed. Numerical results are presented and discussed.

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Authors and Affiliations

  1. Centre for Computational Fluid Dynamics, University of Leeds, Leeds, LS2 9JT, UK

    Dumitru Trucu & Derek B. Ingham

  2. Department of Applied Mathematics, University of Leeds, Leeds, LS2 9JT, UK

    Daniel Lesnic

Authors
  1. Dumitru Trucu
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  2. Derek B. Ingham
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  3. Daniel Lesnic
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Correspondence to Daniel Lesnic.

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Trucu, D., Ingham, D.B. & Lesnic, D. Space-dependent perfusion coefficient identification in the transient bio-heat equation. J Eng Math 67, 307–315 (2010). https://doi.org/10.1007/s10665-009-9319-6

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  • DOI: https://doi.org/10.1007/s10665-009-9319-6

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