I had been working as a professional personal trainer for a few years, and routinely give blood pressure tests for my clients. So here's what I'd learned from my ACE course, and how I explain about blood pressure to my clients.
Systolic pressure regularly goes up and down. Systolic pressure is a measure of your ARTERIAL blood pressure, and thus is highly affected by exercise and/or stimulants such as caffiene because this causes the heart rate to go up, which increases blood flow, which increases the pressure exerted in your arteries. Because of the arterial walls' thickness, arteries are relatively 'stiff' and pressure is naturally higher than in veins.
On the other hand, diastolic pressure is a measure of your VEINAL blood pressure. As this blood pressure comes directly from blood output by the organs (which is why blood moves slower in veins, and veins need valves to prevent backflow of blood), they should not be affected by stimulants, and is relatively stable. Hence diastolic is taken as the measure of your overall blood pressure. In addition, as veins are by nature elastic, they can easily accomodate higher blood pressure and dialate (grow wider) in response to higher pressure. If diastolic pressure is high, it could mean (a) your veins have lost their elasticity, and/or (b) there is a buildup of plaque in the veins that prevents blood from flowing smoothly, resulting in higher pressure. Both (a) and (b) are symptoms of arteriosclerosis, and have to be checked out by a doctor for diagnosis and treatment.
So beef_bourito (cool username, by the way), you don't have to worry. As long as your diastolic doesn't go above 70, you're safe
60 is a bit on the low side, though, unless your heart rate is low as well, which would indicate a strong heart. What is your resting heart rate, by the way?
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There are two types of people in the world: those that divide people into two types, and those who don't - Anon