Hi Apoptosis,
Organ rejection can be mediated by both antibodies and by T cell responses. B cells recognise both non-self MHC Class I and II molecules. If a patient has had prior sensitisation, e.g. previous transplants or blood transfusions, the rejection can occur very quickly and is usually mediated by antibodies. T cell mediated rejection occurs as a result of CD8 T cells recognising the non-self MHC Class I molecule too well. Within the thymus new T cells that bind self MHC Class I molecules too well are deleted. However, as non-self MHC Class I molecules are not present within the thymus this selection can not happen. The T cell mediate rejection tends to be much slower as it take time to generate a response.
Hope that helps!