A system for anchoring at least a portion of material to a vertebral body is disclosed. The anchoring system comprises a base configured to affix to the vertebral body, configured to receive the at least a portion of material, and configured to receive a fastener so as to apply pressure to the at least a portion of material so as to anchor the at least a portion of material to the base. Another system further comprises an anchoring mechanism configured to engage with the base and configured to anchor the at least a portion of material, wherein the anchoring mechanism comprises at least one elastic element configured to engage with a fastener and configured to apply pressure to the at least a portion of material so as to anchor the at least a portion of material to the base.