The most likely reason for the worsening of the patient's other medical conditions after starting the barbiturate-containing medication is:
c. The barbiturate medication is causing enzyme induction.
Barbiturates are known to induce liver enzymes, which can lead to increased metabolism of other drugs the patient is taking. This means that the efficacy of those medications may be reduced due to faster clearance from the body, potentially worsening the patient's other medical conditions as their treatments become less effective.