[en] The mass of the top quark is a free parameter of the Standard Model. Its precise measurement is highly relevant, as it may reveal valuable insights into the nature of electroweak symmetry breaking due to a Yukawa coupling of almost unity. We review the final steps towards the world's most precise single measurement of m_top, which we aim to perform in lepton+jets final states using 9.7 fb^-1 of data recorded by the DOe detector in p anti p collisions at √(s)=1.96 TeV. To extract m_top, we apply the so-called matrix element technique, which offers superior statistical sensitivity. We review the cutting-edge methods of numerical integration we employ to meet the computational challenges of this measurement. Furthermore, we summarise our studies which lead to an improved understanding of systematic uncertainties from higher-order contributions, hadronisation and underlying event, initial and final state radiation, the dependency of the jet energy scale on the jet flavour, and others, resulting in a combined systematic uncertainty of below 1 GeV.