We studied biophysical features of interaction between 0.1 Hz oscillations in heart rate variability (HRV) and distal blood flow (DBF) variability in healthy subjects and patients after acute myocardial infarction (MI). 125 patients after acute MI (72 male and 53 female) aged between 30 and 83 years and 33 healthy subjects (23 male and 10 female) aged between 20 and 46 years were included in the study. The duration of prospective study of MI patients was one year. We estimated the delay in coupling between 0.1 Hz oscillations in H RV and DBF variability. It is found out that in healthy subjects the delay in coupling from heart rate to DBF is less than delay in coupling from DBF to heart rate. Acute MI results mainly in disruption of coupling from heart rate to DBF. This coupling is partially restored in one year after acute MI, but the delay in coupling remains significantly smaller than in healthy subjects. The features of coupling from DBF to heart rate are restored in MI patients within three weeks after infarction. After this period the delay in this coupling in MI patients is approximately the same as it is in healthy subjects.