The one-dimensional linear inverse heat conduction problem (IHCP) is considered here. In this problem, the aceurocy in the detennination of the surface heat flux is not only affected by noise occurring in the remote measurement but is also influenced by the bias introduced by the method itself. A modified function specification algorithm is proposed that automatically balances the sensitivity to measurement error and the bias,for each time step.This algorithm uses a time-oariable number of future temperatures. The new method is compared with the classic Beck's function specification method, i.e.; wah a constant number offuture temperatures. Using a clear definition ofthe different errors, the comparison shows that, in many cases, the modified method significantly improves the IHCP resotusion.

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Current architectural and production limitations prevent the manufacturing standardization and design of bioceramics. Such limitations have hindered advances in bone tissue engineering and regeneration. In this context, we propose a bioceramic manufacturing process based on the impregnation of wax molds produced by additive manufacturing. Hydroxyapatite bioceramics with custom architectures were fabricated to evaluate the reliability, robustness, and limitations of this process. Results indicate that this process preserves phase biocompatibility, permits homogeneous shrinkage of the biomaterial during heat treatment, and allows reproducible and precise manufacturing of custom architectures.