Ischemic disorder
Ischemic disorders are defined by a morphology of ischemic structural change. This need not be permanent, but it is assumed that all ischemia results in some structural alterations at the molecular level.
Ischemic heart disease
Ischemic heart disease includes myocardial infarction, myocardial ischemia (without infarction), angina, and other disorders of the heart that have ischemic structural change (reversible or non-reversible) as a defining characteristic.
Coronary arteriosclerosis can, of course, be present without causing ischemia, so coronary arteriosclerosis is not a subtype of ischemic heart disease.
Likewise, there are causes of myocardial ischemia and infarction other than coronary arteriosclerosis, so ischemic heart disease is not a subtype of coronary arteriosclerosis.
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