Eva Olweean talks about the sensors in her room that helped diagnose a potential congestive heart failure at the Tiger Place nursing home in Columbia, Mo. Tiny sensors hover unobtrusively over the toilet, shower and doorways to detect Olweean’s movements inside her apartment. Pneumatic tubes tucked in the mattress and beneath her easy chair measure weight shifts. Caregivers and researchers study the data, noting changes in behavior that could signal medical problems.