A model of the DN interaction is presented which is developed in close analogy to the meson-exchangeKN potential of the Jülich group utilizing SU(4) symmetry constraints. The main ingredients of the interaction are provided by vector meson (ρ, ω) exchange and higher-order box diagrams involving D * N , D∆, and D * ∆ intermediate states. The coupling of DN to the πΛc and πΣc channels is taken into account. The interaction model generates the Λc(2595) resonance dynamically as a DN quasi-bound state. Results for DN total and differential cross sections are presented and compared with predictions of an interaction model that is based on the leading-order Weinberg-Tomozawa term. Some features of the Λc(2595) resonance are discussed and the role of the near-by πΣc threshold is emphasized. Selected predictions of the orginalKN model are reported too. Specifically, it is pointed out that the model generates two poles in the partial wave corresponding to the Λ(1405) resonance.PACS. 14.40.Lb Charmed mesons -13.75.Jz Kaon-baryon interactions -12.39.Pn Potential models