What is the exact relationship between pulse rate and systolic pressure?

Question

There is a precise mathematical relationship between pulse rate and systolic pressure.
What is it?

Oh, but there is......I assure you.

Thank you Adtrav...but it's not what I'm looking for. I am asking for the exact, precise algebraically-expressible relationship .

Rocky - I'll let you know what it is at the end of the session.

Adtrav: Max. Ps is intra-ventriclar @ systole, declining as the P gradient extends down the aortal/arteriolar section of the loop. At the interface of the arteriolar bed and the capillaries, the pressure gradient driving blood through the "load" (capillaries and veinous system) downstream is the weighted mean pressure, comprising principally the diastolic pressure at that point. The pressure here is essentially non-pulsatile and steady.
Fairly irrelevant to the question, -but I thought you might like to know.

Angie, ...are you really, REALLY calling Rocky & Radtrav fools? And you an RN?

Mago, thank you for your contribution and advice.
I take it that you too are unaware of the relationship? It's been staring you, the medical profession, in the face for a hundred years, and all I'm doing is pointing it out. It's not a theory, nor hypothesis. It is merely recognising a direct mathematical relationship which exists but which you have failed to observe and acknowledge.

Hi Sami, ..Good to read you again. -always constructive and polite.
Sadly, one can't answer one's own question. The format doesn't allow it. If I write a "Reply" Yahoo Sends an "OOPS!" message.
But sadly, I have to disagree with you on systolic and pulse rate. For any cardiac work level, lowering the pulse rate ineluctably must raise systolic pressure. Would you like me to email you a clinical results graph showing this?
Regards, Tich

Oh. P.S. Sami, - I could send you the equation by plain e.mail if you wish? I'd quite forgotten that.
Tich

Dr.Earp. Thank you for your kind reply, but the question refers to Systolic Pressure, not Mean pressure. The equation you cite is the Mean Pressure Equation.

Answer 1

During shock pulse is fast and systolic blood pressure is low. After a beta blocker is administered pulse is slow and systolic blood pressure is low again.
Probably within narrow limits , for a given volume of pulse, rate and systolic pressure are directly proportional to each other
Please answer the question yourself to enlighten us.

Answer 2

Not always but in certain situations (like a rapidly falling blood pressure due to bleeding} the pulse rate (Sinus rhythm) increases to try to keep the blood pressure up, homeostasis at work for you. But in some abnormal cardiac rhythms (Atrial fibrillation, Ventricular tachycardia) a vary high pulse rate causes a fall in blood pressure because the heart muscle is not contracting in the usual coordinated way to be an effective pump . Hope this helps x

Answer 3

There is a precise mathematical relationship which defines blood pressure. It is:

Blood Pressure = Heart Rate X Cardiac Output

Cardiac output is the volume of blood pumped by the heart with each contraction. Cardiac output can be measured indirectly by means of a heart ultrasound (echocardiogram) or directly during a left heart catheterization.

DrEarp

Answer 4

Systolic pressure is the pressure exerted in the arteriole bed with cardiac systole or the ejection of blood from the left ventricle. No relationship exists between heart rate and the systolic pressure. HR does slow with reduced venous return to the heart and accelerates with increased venous return to the heart. Therefore; genericallly speaking, if you have a low blood pressure (systolic), your heart rate increases to attempt to compensate for the decreased ejection fraction or blood leaving the heart. Cardiac output (CO) = HR x EF (ejection fraction).

Answer 5

I do not see how you can insist there is a precise relationship when the functioning of the human body is not predictably precise...the human body compensates to maintain aequate blood pressure and perfusion...it all depends upon the health of the heart muscle and the vessels...in practice we can see a healthy athlete's heart rate in the 50's maintain a normal SBP, whereas in mid heart attack a heart rate in 50's may produce a SBP<90 as the injured myocardium cannot compensate....we see SBP<90 when pts go into rapid Afib with heart rates>150 due to loss of atrial kick and decreased ventricular filling time......perhaps on paper you are trying to prove your theory, but step away from your desk and spend some time in practice at the bedside...no apologies for my attitude...

Answer 6

Are you asking about Pulse Pressure and Mean Arterial Pressure??

If so why are you asking the fools on this site??

Look it up in a book the way I had to when I was in college!

Sheesh! some people are soooo lazy!

Answer 7

Not true, no such relationship exists.