Some embodiments of the present disclosure present closed-loop heating, temperature-swing adsorption regenerative scrubbing systems and methods. In some embodiments, such embodiments include providing a scrubbing system including a sorbent material, a plurality of dampers for controlling airflow over and/or through the sorbent according to an absorption mode, a closed-loop heating mode and a flushing mode, first controlling of the plurality of dampers so as to establish flowing an indoor airflow over and/or through the adsorbent during the adsorption mode, second controlling of the plurality of dampers so as to establish a closed loop airflow during the closed-loop heating mode, and third controlling of the plurality of dampers so as to establish a purging airflow during the flushing mode.