An in vitro method for converting an animal cell from a first non-pluripotent cell destination to a second non-pluripotent cell destination, the method comprising: increasing the amount of at least one reprogramming transcription factor into a first non-pluripotent cell having a first non-pluripotent cell destination for generating a non-pluripotent intermediate cell by introducing into the first non-pluripotent cell having the first non-pluripotent cell destination one or more polynucleotides encoding an Oct4 polypeptide, and optionally one or more polynucleotides encoding a Klf4 polypeptide, a polypeptide Sox2 or a c-Myc polypeptide, or contacting the first non-pluripotent cell having the first non-pluripotent cell destination with an Oct4 polypeptide, and optionally one or more of a Klf4 polypeptide, a Sox2 polypeptide and a c-Myc polypeptide; and subjecting the non-pluripotent intermediate cell to specific differentiating factors of the lineage to induce differentiation of the non-pluripotent intermediate cell to generate a cell having the second non-pluripotent cell destination, where (i) the non-pluripotent intermediate cell does not significantly express Nanog , and (ii) the cell that has the second non-pluripotent cell destiny is a mesodermal lineage cell, an ectodermal lineage cell or an endodermal lineage cell.Un método in vitro para convertir una célula animal de un primer destino celular no pluripotente a un segundo destino celular no pluripotente, comprendiendo el método: aumentar la cantidad de al menos un factor de transcripción de reprogramación en una primera célula no pluripotente que tiene un primer destino celular no pluripotente para generar una célula intermedia no pluripotente introduciendo en la primera célula no pluripotente que tiene el primer destino celular no pluripotente uno o más polinucleótidos que codifican un polipéptido Oct4, y opcionalmente uno o más polinucleótidos que codifican un polipéptido Klf4, un polipéptido Sox2 o un polip