In accordance with one aspect, embolic particles are provided that comprise a biodegradable polymer and a therapeutic agent, wherein the particles are configured such that, upon administration to a body lumen of a subject, the therapeutic agent is released from the time of administration up until a first point in time that ranges anywhere from about 1 week after administration to about 4 weeks after administration, at which point in time the therapeutic agent release ceases. The particles are also configured such that particles remain present in the body lumen from the first point in time at which therapeutic agent release ceases up to a second point in time that ranges anywhere from about 2 weeks to about 12 months after the first point in time, at which point the particles are completely degraded. Other aspects pertain to methods of making such particles. Still other aspects pertain to injectable compositions that comprise such particles and to methods of treatment that employ such injectable compositions.