A cell culture system, characterized in that it comprises: a plurality of cell culture chambers (1A-1C) configured for culturing therein cells contained in a culture medium, and configured for being in fluid communication with one another through a network of channels, fluid flow rate control means (3: 3.1-3.9) for a fluid circulating through the network of channels, culture medium conditioning means, measurement means configured for monitoring the state of the culture medium and/or cells, a controller in connection with the fluid flow rate control means (3: 3.1-3.9) and/or with the conditioning means, the controller being configured for being in data communication with the measurement means, wherein each cell culture chamber (1A-1C) comprises a plurality of fluid inlets-outlets (10.1A-10.4A, 10.1B-10.4B, 10.1C-10.4C); the plurality of cell culture chambers (1A-1C) all comprise different internal volumes, the controller, according to the data measured by the measurement means, is furthermore configured for: operating the conditioning means, and/or operating the fluid flow rate control means (3: 3.1-3.9) such that the cells contained in culture medium inside a first chamber are transferred to the inside of a second chamber the internal volume of which is larger than the internal volume of the first chamber, and so on, successively, where it is necessary, to chambers with a larger internal volume and wherein the system further comprises cell retention means configured for retaining cells inside the cell culture chambers (1A-1C). a plurality of cell culture chambers (1A-1C) configured for culturing therein cells contained in a culture medium, and configured for being in fluid communication with one another through a network of channels, fluid flow rate control means (3: 3.1-3.9) for a fluid circulating through the network of channels, culture medium conditioning means, measurement means configured for monitoring the state of the culture medium and/or cells, a controller in connection with the fluid flow rate control means (3: 3.1-3.9) and/or with the conditioning means, the controller being configured for being in data communication with the measurement means, each cell culture chamber (1A-1C) comprises a plurality of fluid inlets-outlets (10.1A-10.4A, 10.1B-10.4B, 10.1C-10.4C); the plurality of cell culture chambers (1A-1C) all comprise different internal volumes, the controller, according to the data measured by the measurement means, is furthermore configured for: operating the conditioning means, and/or operating the fluid flow rate control means (3: 3.1-3.9) such that the cells contained in culture medium inside a first chamber are transferred to the inside of a second chamber the internal volume of which is larger than the internal volume of the first chamber, and so on, successively, where it is necessary, to chambers with a larger internal volume operating the conditioning means, and/or operating the fluid flow rate control means (3: 3.1-3.9) such that the cells contained in culture medium inside a first chamber are transferred to the inside of a second chamber the internal volume of which is larger than the internal volume of the first chamber, and so on, successively, where it is necessary, to chambers with a larger internal volume and wherein the system further comprises cell retention means configured for retaining cells inside the cell culture chambers (1A-1C).