BILLIAN CONDITIONAL FLOW THEORY
Bill Adongo
Google Authorship
From Ghana, West Africa
Even, though actuarial science is my specialized
area, medical research is one of my
interest areas which I think would have profound blessing in the life of others
and is essential for all actuaries. The hypothesis (Billian Conditional Flow
Equation) is a description of how perfusion pressure (p), radius(r), length (L), and viscosity (ή) that happened in heart valve right before a heart attack.
In fact, the hypothesis clearly shows the effective influence
of vessel radius on resistance and flow and can be served as an important
concept to know how vascular stenosis and vascular tone change in vessel radius
affect pressure, flow and how increase(or decrease) in heart valve orifice size
affect flow and change in pressure across heart valves.
F=Pr4/2ήL
P=2P0
Therefore, the final perfusion is twice the initial
perfusion pressure and each has the same radius. Even though the above
discussion is directed toward blood vessels, the factor that determined
resistance across a heart valve are the same as described above, is only when
length becomes insignificant because, path of blood flow across a valve is
short compared to blood vessel.
PRACTICAL
1) The value P,
determines the perfusion pressure that happens right before a heart attack.
2) The total equation above helps medical doctors to asses
the flow in patient heart valves. If the radius is small and the flow states
and perfusion pressure is high: then patient is likely to get heart attack. If the
flow states and the perfusion pressure is low and the radius is large: then the
patient is less likely to get heart attack
