Hyperthermia with mild heating of tumors can be used as an adjuvant to conventional cancer treatments, such as chemotherapy or radiotherapy. If heat is used solely for the destruction of cancer cells, the treatment is generally denoted as thermal ablation. Nanoparticles have been developed to improve the selective heating of tumor cells, by improving the localized absorption of external energy sources used in thermal therapies. Nanoparticles can also serve as carriers of drugs that specifically act on the tumor when heated, including hydrogen that can be desorbed to locally promote an antioxidant effect and reduce the viability of cancer cells. In this work, palladium nanocubes and PdCeO2 nanoparticles were synthesized and nanofluids produced with these nanomaterials were hydrogenated. Experiments that involved the heating of the nanofluids with a diode-laser revealed a substantial improvement of the absorbed energy as compared to distilled water, particularly for hydrogenated palladium nanocubes. The absorption coefficients of the nanofluids at the diode-laser wavelength were then estimated with the Markov Chain Monte Carlo (MCMC) method, which was implemented by the Metropolis-Hastings algorithm with sampling by blocks. The results obtained with Monte Carlo parameter estimation and direct simulations of an in vitro hyperthermia-chemotherapy experiment are also presented in this talk.