The present invention relates to the field of ambulatory and non-invasive monitoring of a plurality of physiological parameters of a monitored individual. The invention includes a physiological monitoring apparatus with an improved monitoring apparel, the apparel having sensors for monitoring parameters reflecting pulmonary function and/or parameters reflecting cardiac function and/or parameters reflecting the function of other organ systems. The apparel is preferably also suitable for medical, athletic, and for other uses. The sensors include one or more inductive plethysmographic sensors positioned to monitor at least basic pulmonary parameters, and optionally also basic cardiac parameters. The sensors include one or more ECG sensor electrodes that preferably include a flexible, conductive fabric. The monitoring apparatus also includes an electronic unit for receiving data from the sensors and for storing the data in a computer-readable medium and/or wirelessly transmitted the data. The invention also includes systems for receiving, storing, and processing data generated by one or more physiological monitored apparatuses.