Present metrological standards in mathematical modeling procedures

In the years 1993-1994 International Organization for Standardization (ISO) introduced to the metrology the fundamental changes of basic character, involving - in addition to the traditional concept of measurement error - the use of new fundamental term of uncertainty of measurement. In consequence, this has led to currently undisputed axiom of metrology, that the measurement result has a form of a section on dimensional axis. These rules of presenting measurable physical values should be reflected in the of practical procedures of mathematical modeling. Presented work relates to this particular problem. It discusses the principles of mathematical modeling together with the assessment of the results. Particular attention was paid to the identification of possible systematic errors (i.e. the load of model) and to estimating the uncertainty of the statistical and deterministic modeling.