Bernoulli, hypertension, migraine

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    Bernoulli
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Discussion Overview

The discussion explores the relationship between Bernoulli's principle, hypertension, and migraine headaches, focusing on how blood flow dynamics may relate to these conditions. Participants consider both theoretical and physiological aspects, including the effects of blood vessel dilation and exercise on blood pressure.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant suggests that migraine-induced dilation of blood vessels could lead to increased blood flow velocity and lower pressure, potentially linking this to Bernoulli's principle.
  • Another participant counters that Bernoulli's principle is limited in application, particularly in small vessels like capillaries where viscous losses dominate pressure variations.
  • It is noted that elevated blood pressure and heart rate can occur during migraines due to pain and stress responses.
  • A participant questions whether a reduction in vessel diameter would lead to a decrease in pressure, referencing Bernoulli's principle.
  • Discussion includes the distinction between migraine mechanisms, which involve vasodilation and neurogenic inflammation, and hypertension, which typically involves vessel constriction.
  • Several participants reference previous threads and research related to migraines and hypertension, indicating ongoing exploration of these topics.

Areas of Agreement / Disagreement

Participants express differing views on the applicability of Bernoulli's principle to the discussion of blood flow in relation to migraines and hypertension. There is no consensus on how these concepts interrelate, and multiple competing views remain present.

Contextual Notes

The discussion highlights limitations in applying Bernoulli's principle to biological systems, particularly regarding the effects of viscosity and vessel size on pressure dynamics. Assumptions about the relationships between pain, blood pressure, and vascular changes are also noted but not resolved.

Who May Find This Useful

This discussion may be of interest to those studying fluid dynamics in biological systems, medical professionals exploring the mechanisms of migraines and hypertension, and individuals interested in the intersection of physics and physiology.

lsgordon02143
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I found the following thread on PF:
https://www.physicsforums.com/showthread.php?t=207950
that relates hypertension to Bernoulli's fluid pressure equations, and it got me to thinking:

I am aware that sometimes migraine headache leads to temporarily elevated blood pressure. I have read various explanations for this (pain -> stress, etc.) - but could it be just plain Bernoulli?

Since migraine is caused by (or causes?) dilation of blood vessels, wouldn't that lead to faster velocity for the same flow rate, thus lower pressure?

Bernoulli also perhaps explains how exercise temporarily elevates blood pressure, i.e. by increasing the total energy ("head") in the system..?

Any thoughts?

--LG
 
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Bernoulli's principle works fine for large vessels and for very low viscosity fluids like air. But, it neglects viscous pressure losses. As a fluid mechanics guy, I can tell you that in flow through capillaries, such as blood capillaries, the pressure variations are dominated by viscous losses. This is the reason, for a given flow rate, the pressure drop per unit length is greater in a constricted region of the capillary than in an unconstricted region. In short, there is much more to fluid mechanics than the Bernoulli equation.
 
People in extreme pain, like from a migraine, can also show elevated BP and heart rate. Exercise will raise BP because the heart rate is elevated to supply the muscles with increased oxygen.
 
According to Bernoulli's principle, from all my nanoseconds of research, if a vessel was reduced, would presure subside a little?
 
Migraine headaches are caused by neurogenic inflammation and vasodilation (increased diameter) of cerebral blood vessels. With stretching of the vessel walls, pain sensors are stimulated. Generalized symptoms of migraine result from pain related activation of the sympathetic nervous system. Medications used to treat migraines act to constrict cerebral blood vessels and reduce the stretching. This is precisely the opposite of what happens with most types of hypertension (high blood pressure) where systemic blood vessels may be constricted and are treated with medications which dilate blood vessels. Unlike migraines, hypertension is usually asymptomatic until there is end organ damage.

http://www.ncbi.nlm.nih.gov/pubmed/11480266
 
Thank you!
 
lsgordon02143 said:
I found the following thread on PF:
https://www.physicsforums.com/showthread.php?t=207950
that relates hypertension to Bernoulli's fluid pressure equations, and it got me to thinking:

I am aware that sometimes migraine headache leads to temporarily elevated blood pressure. I have read various explanations for this (pain -> stress, etc.) - but could it be just plain Bernoulli?

Since migraine is caused by (or causes?) dilation of blood vessels, wouldn't that lead to faster velocity for the same flow rate, thus lower pressure?

Bernoulli also perhaps explains how exercise temporarily elevates blood pressure, i.e. by increasing the total energy ("head") in the system..?

Any thoughts?

--LG
Welcome to PF. Did you read and understand my post in the thread?
 
Also, the post #15 by Q_Goest in the thread is right on target, and elaborates on what I said in post #2 of this thread.
 
  • #10
I started a thread that may be interesting to some of you. It's not a researched hypothesis, or really a proper hypothesis at all, but rather a question to see if anyone else shares similar thoughts on the topic of hormones and coditions similar to the ones listed. https://www.physicsforums.com/showthread.php?t=722345
 

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