[en] The dynamics of nucleon transfer processes in heavy-ion collisions is investigated within the dinuclear system model. The production cross sections of nuclei in the reactions ¹³⁶Xe+²⁰⁸Pb and ²³⁸U+²⁴⁸Cm are calculated, and the calculations are in good agreement with the experimental data. The transfer cross sections for the ⁵⁸Ni+²⁰⁸Pb reaction are calculated and compared with the experimental data. We predict the production cross sections of neutron-rich nuclei ${}^{165-<!--\; ???\; -->168}$ Eu, ${}^{169-<!--\; ???\; -->173}$ Tb, ${}^{173-<!--\; ???\; -->178}$ Ho, and ${}^{181-<!--\; ???\; -->185}\mathrm{Y}\mathrm{b}$ based on the reaction ¹⁷⁶Yb+²³⁸U. It can be seen that the production cross sections of the neutron-rich nuclei ¹⁶⁵Eu, ¹⁶⁹Tb, ¹⁷³Ho, and ¹⁸¹Yb are 2.84 μb, 6.90 μb, 46.24 μb, and 53.61 μb, respectively, which could be synthesized in experiment. (papers)