A generalized analytical description for non-isothermal solid-state transformation was developed, where a choice of both nucleation modes and approximations to the so-called "temperature integral" and "general temperature integral" is incorporated. The currently general description reduces to the originally analytical model, provided if coarse approximations adopted in [F. Liu, et al., Int. Mater. Rev. 52 (2007) 1931 are chosen. Numerical calculations demonstrate that the accuracy of the general description is guaranteed by selecting an optimal combination of the approximations. (C) 2011 Elsevier B.V. All rights reserved.