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Perhaps there is no established relationship between the heart beat rate or pulse rate and blood transfusion.

Transfusion is the process of giving blood to a person who lacks blood or has some other diseases.  It is possible that transfusion process completes faster/slower depending on low/high blood pressure.  But transfusion process may not directly depend on pulse rate.

There is no direct and significant relation between the blood pressure and heat beat.  Heart beat is number of times it beats and pumps out blood to the body.  The blood pressure depends on the amount of blood in the body and the space (volume) in the blood vessels.  They are independent.  When a person does exercises, the heart rate goes up and also the blood pressure goes up.  But the contribution of heart beat to the pressure is not significant.

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