Phagocytosis is one such tactic wherein special types of cells called phagocytes ingest and kill invading organisms. Phagocytes also ingest dead cells and debris caused by tissue injury. Three types of white blood cells can act as phagocytes: neutrophils, eosinophils and monocytes.These white blood cells circulate in the bloodstream awaiting chemical signals of invasion and inflammation. Upon receiving these signals, the white blood cell phagocytes migrate to the site of infection.eutrophils. Special stem cells in the bone marrow give rise to neutrophils, which are normally the most abundant white blood cells in the circulation. Neutrophils typically comprise 40 to 60 percent of the white blood cells in the circulation. The primary function of neutrophils is phagocytosis.