The process in which a cell becomes capable of differentiating autonomously into an axial mesoderm cell regardless of its environment; upon determination, the cell fate cannot be reversed.
axial mesodermal cell fate specification +
intermediate mesodermal cell fate determination +
lateral mesodermal cell fate determination +
negative regulation of mesodermal cell fate determination +
paraxial mesodermal cell fate determination +
positive regulation of mesodermal cell fate determination +
regulation of mesodermal cell fate determination +