The dependency approach, originally developed by Lucien Tesnière, has become a popular model of syntactic representation. However, the state-of-the-art dependency parsers and annotation schemes typically discard some relevant features of the original Tesnière's model, retaining only the concept of dependency relations between individual words. The SemTi-Kamols grammar model attempts to return to the Tesnière's key concepts supplementing the approach with some additional features and concepts. The aim of this paper is to explain how the Semti-Kamols approach relates to and differs from the original Tesnière's approach, discussing the similarities and differences.