This trial is seeking to assess the role of ‘regenerative cells’ isolated from fat in patients with chronic myocardial ischaemia. Cells will be collected from the participants using liposuction. The trial will be conducted at five centres in the US by Cyton Therapeutics and hopes to enrol 45 patients with chronic myocardial ischaemia that has not responded to standard treatments. Participants will be randomly allocated to a treatment group which will receive injections of ‘regenerative cells’ directly into the heart, or into a control group which will receive a placebo injection into the heart. Participants will be assessed for complications and changes in cardiac function and cardiac ischaemia six months after receiving the treatment.