Final answer:
Continuous 24-hour care by medical professionals under a physician's supervision is known as inpatient care, incorporating services like medication administration and dialysis under stringent monitoring.
Step-by-step explanation:
Continuous 24-hour care provided by licensed medical professionals under the direct supervision of a physician is typically referred to as inpatient care. This level of care can be administered in settings such as hospitals where multiple healthcare professionals, including registered nurses, are involved in the constant monitoring and treatment of the patient. The care provided includes a wide array of medical services, from administering medication, such as in directly observed therapy (DOT) for conditions like TB, to conducting dialysis treatments with stringent oversight of the procedure.