Cells　and　tissues　undergo　complex　physical　processes　during　cryopreservation.　Understanding　the　underlying　physical　phenomena　is　critical　to　improve　current　cryopreservation　methods　and　to　develop　new　techniques.　Here,　we　describe　multi-scale　approaches　for　modelling　cell　and　tissue　cryopreservation　including　heat　transfer　at　macroscale　level,　crystallization,　cell　volume　change　and　mass　transport　across　cell　membranes　at　microscale　level.　These　multi-scale　approaches　allow　us　to　study　cell　and　tissue　cryopreservation.