An arteriole has a length of 1.03 mm and a radius of 24.7 μm. The blood pressure drop along the arteriole is 1690 Pa.
a)Calculate the resistance of the arteriole. (assume body temperature)
b) Calculate the flow rate through the arteriole.
c) Calculate the number of arterioles like this one you would need to maintain a flow of 2.91e-06 m^3/s
my working i tried my best but still couldn't figure it out
help me please
I tried but its still wrong!!
Length L = 1.03 mm = 0.00103 m Radius r = 24.7 u m = 24.7 * 10^-6 m
The resistance to the flow is given by poiseulli equation R = ( 8 * mu * L ) / ( pi * r^4 ) so R = ( 8 * 4 * 1.03 * 10^-6 ) / ( pi * (24.7 * 10^-6 )^4)
so R = 2.8187 * 10^13 ohm
flow rate = pressure / resistance = 1690 / ( 2.8187 * 10^13 ) = 5.99567 * 10^-11 m^3 / sec
no. of arterioles = total flow rate / flow rate of one arteriole = (2.91* 10^-6) / ( 5.99567 * 10^-11 ) no. of arterioles = 48535.0118
show me right one please. Thanks people
Answers & Comments
Verified answer
Length L = 1.03 mm = 1.03x10^-3 m [not 1.03x10^-6)
Radius r = 24.7 u m = 24.7 * 10^-6 m
The resistance to the flow is given by poiseulli equation
R = ( 8 * mu * L ) / ( pi * r^4 )
R = ( 8 * 4 * 1.03 * 10^-3 ) / ( pi * (24.7 * 10^-6 )^4)
so R = 2.8x10^16 ohm
flow rate = pressure / resistance = 1690 / ( 2.8x10^16 ) = 6x10^-14 m^3 / sec
no. of arterioles = total flow rate / flow rate of one arteriole = (2.91x10^-6) / ( 6x10^-14 )
no. of arterioles = 4.85x10^7
My husbands brother had a similar injury, he was 25 at the time. He fell down the stairs had a bleed in the brain, they removed half of his skull to allow for pressure. He was in icu for 3 weeks before he woke up and was extremely confused and angry for another 2 weeks in high dependency. He came home a month after that still with his skull piece missing. Two years on he has just had a titanium piece put back where they removed the skull. He still has fits but only occasionally now ( in the beginning daily) He is almost as normal as you can get now a little short term memory loss. Bear in mind that head injuries are all different and your cousin has age and fitness on his side.... This time now is the most frustrating as you want answers but can't have any, it is just a hour by hour thing. Good luck to your cousin and all your family, i'll think of you all