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The aqueous humor circulates within the eye, flowing in at a constant rate Qin = 2 µl/min, and draining from the eye at Qout- At steady state, Qout = Qin: The eye also acts like an elastic vessel, in that its volume increases if the intraocular pressure p increases. This is expressed by V = Cp (6.21) where V is the volume of the eye (normally about 4 cm³) and C is the com- pliance of the eye (approximately 3 µul/mmHg). Finally, the outflow rate Qout equals p/R, where R is the (effectively constant) resistance to outflow (about 4 mmHg min/ul). (a) Balancing mass, show that: dp P – Pss (6.22) dt RC where pss is the steady-state pressure in the eye, equal to RQin- (b) If you poke your eye and increase the pressure by an amount Sp = 10 mmHg, how long does it take the pressure to return to within 5% of its steady-state value?

The aqueous humor circulates within the eye, flowing in at a constant rate Qin = 2 µl/min, and draining from the eye at Qout- At steady state, Qout = Qin: The eye also acts like an elastic vessel, in that its volume increases if the intraocular pressure p increases. This is expressed by V = Cp (6.21) where V is the volume of the eye (normally about 4 cm³) and C is the com- pliance of the eye (approximately 3 µul/mmHg). Finally, the outflow rate Qout equals p/R, where R is the (effectively constant) resistance to outflow (about 4 mmHg min/ul). (a) Balancing mass, show that: dp P – Pss (6.22) dt RC where pss is the steady-state pressure in the eye, equal to RQin- (b) If you poke your eye and increase the pressure by an amount Sp = 10 mmHg, how long does it take the pressure to return to within 5% of its steady-state value?

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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The aqueous humor circulates within the eye, flowing in at a constant rate Qin = 2 µl/min, and draining from the eye at Qout- At steady state, Qout = Qin: The eye also acts like an elastic vessel, in that its volume increases if the intraocular pressure p increases. This is expressed by V = Cp (6.21) where V is the volume of the eye (normally about 4 cm³) and C is the com- pliance of the eye (approximately 3 µul/mmHg). Finally, the outflow rate Qout equals p/R, where R is the (effectively constant) resistance to outflow (about 4 mmHg min/ul). (a) Balancing mass, show that: dp P – Pss (6.22) dt RC where pss is the steady-state pressure in the eye, equal to RQin- (b) If you poke your eye and increase the pressure by an amount Sp = 10 mmHg, how long does it take the pressure to return to within 5% of its steady-state value?
Transcribed Image Text:The aqueous humor circulates within the eye, flowing in at a constant rate Qin = 2 µl/min, and draining from the eye at Qout- At steady state, Qout = Qin: The eye also acts like an elastic vessel, in that its volume increases if the intraocular pressure p increases. This is expressed by V = Cp (6.21) where V is the volume of the eye (normally about 4 cm³) and C is the com- pliance of the eye (approximately 3 µul/mmHg). Finally, the outflow rate Qout equals p/R, where R is the (effectively constant) resistance to outflow (about 4 mmHg min/ul). (a) Balancing mass, show that: dp P – Pss (6.22) dt RC where pss is the steady-state pressure in the eye, equal to RQin- (b) If you poke your eye and increase the pressure by an amount Sp = 10 mmHg, how long does it take the pressure to return to within 5% of its steady-state value?
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