What is the medical term meaning process of being stuck together?

The medical term meaning "process of being stuck together" is agglutination. Agglutination is the clumping together of cells or particles, usually as a result of the interaction of antibodies with antigens. It can be induced in vitro by mixing antiserum with a suspension of cells or particles that carry the corresponding antigen, or it can occur in vivo as a result of an immune response to a foreign substance.