How can we (as humans) retain memories if all the cells in our bodies are constantly dying and being replaced?

Question: How can we (as humans) retain memories if all the cells in our bodies are constantly dying and being replaced?
- Keywords:
  cell death,
  memory
Asked by shrimpiesoup to Dr D on 19 Jun 2013.
- Andrew Devitt answered on 19 Jun 2013:
  
  Great question and neurones are one of those cells that don’t die much! The neurones stay with you for life and if you damage them, they can’t repair and be replaced as well as other cells. THis is why brain injury is so dangerous

Question: How can we (as humans) retain memories if all the cells in our bodies are constantly dying and being replaced?