This clinical trial will increase our ability to cure MDR-TB and prevent the emergence of resistance to new TB drug classes by optimizing dosing and improving the effectiveness of an existing antimycobacterial agent, using a novel and versatile study design which more rapidly and efficiently identifies advances in this critical area. Construction of an algorithm to predict the optimal levofloxacin dose will allow more effective use of levofloxacin, particularly in areas with limited resources, where the burden of MDR-TB is the greatest.