Bodo Erdmann

Impact of nonlinear heat transfer on temperature control in regional hyperthermia

We describe an optimization process specially designed for regional hyperthermia of deep-seated tumors in order to achieve desired steady-state temperature distributions. A nonlinear three-dimensional heat transfer model based on temperature-dependent blood perfusion is applied to predict the temperature. Using linearly implicit methods in time and adaptive multilevel finite elements in space, we are able to integrate efficiently the instationary nonlinear heat equation with high accuracy. Optimal heating is obtained by minimizing an integral objective function which measures the distance between desired and model predicted temperatures. A sequence of minima is calculated from successively improved constant-rate perfusion models employing a damped Newton method in an inner iteration. We compare temperature distributions for two individual patients calculated on coarse and fine spatial grids and present numerical results of optimizations for a Sigma 60 Applicator of the BSD 2000 Hyperthermia System.

A posteriori error estimates for elliptic problems in two and three space dimensions

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Adaptivity in Space and Time for Reaction-Diffusion Systems in Electrocardiology

u \in H

Micromechanics-Based Conversion of CT Data into Anisotropic Elasticity Tensors, Applied to FE Simulations of a Mandible

be the exact solution of a given selfadjoint elliptic boundary value problem, which is approximated by some

Optimization of Temperature Distributions for Regional Hyperthermia Based on a Nonlinear Heat Transfer Modela

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Affine conjugate adaptive Newton methods for nonlinear elastomechanics

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A self‐adaptive multilevel finite element method for the stationary Schrödinger equation in three space dimensions

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Consideration of anisotropic elasticity minimizes volumetric rather than shear deformation in human mandible

being a suitable finite-element space. Efficient and reliable a posteriors estimates of the error

An object-oriented adaptive finite element code: design issues and applications in hyperthermia threatment planning

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On Efficiency and Accuracy in Cardioelectric Simulation

, measuring the (local) quality of