The aim of the former editions remains unchanged in the present updated version, namely to put forward a general and comprehensive review on complement. It is intended not only for individual investigators working in this specific field, but also for those who are less familiar with it. Students or younger scientists will hopefully be stimulated and attracted by the fascination of complement biology. Again, it was clear from the beginning that the field has experienced an explosive expansion in various directions and continues to accumulate data too large to be dealt with by a single author in a critical and coherent manner. The editors are grateful