You can only delete an experiment if you are the uploader or the PR of the experiment.

Login to Cytobank and click on the Inbox link.  Select the experiments you want to delete by clicking on the checkbox next to them and click on the button called delete experiments.  This will move your experiments to the Trash.

Alternately, you can delete an experiment from the experiment summary page by clicking "Delete Experiment" in the left-hand navigation box.

Note that experiments are not permanently deleted until they have been removed from the trash.  To do this click on the link titled "Trash" in the Manage Experiments section.  Select the experiments you want to permanently delete in Trash and click on the button labeled "Permanently Trash."