In some aspects, the present invention provides cell-reactive compstatin analogs and compositions comprising cell-reactive compstatin analogs. In some aspects, the invention further provides methods of using cell-reactive compstatin analogs, e.g., treat a complement-mediated disorder, e.g., to inhibit complement-mediated damage to a cell, tissue, or organ. In some aspects, the invention provides long-acting compstatin analogs and compositions comprising long-acting compstatin analogs. In some aspects, the invention further provides methods of using long-acting compstatin analogs, e.g., to treat a complement-mediated disorder, e.g., to inhibit complement-mediated damage to a cell, tissue, or organ. In some aspects, the invention provides targeted compstatin analogs and compositions comprising targeted compstatin analogs. In some aspects, the invention further provides methods of using targeted compstatin analogs, e.g., to treat a complement-mediated disorder, e.g., to inhibit complement-mediated damage to a cell, tissue, or organ.