Doctors who charge an annual fee to patients in exchange for customized care including house calls are drawing the ire of some health insurance companies. United Healthcare confirmed it is dropping four local doctors from its network in April because the company disapproves of their so-called "concierge medicine" model. Cigna is also condemning the practice, in which physicians charge an annual retainer of $1,500 to $1,800 for patients who then receive more personal care.