The Robert & Eolyne Tunnell Cancer Center at Beebe Healthcare's mission is to provide both hope and cure. From diagnosis through treatment and beyond, the patients at the The Robert & Eolyne Tunnell Cancer Center at Beebe Healthcare's mission is to provide both hope and cure. From diagnosis through treatment and beyond, the patients at the Tunnell Cancer Center are never alone. Physicians, nurses, and staff are there to listen, support, and encourage.