1. At rest, the human heart beats once every second. At the strongest part of the beat, a person's blood pressure peaks at 120 mm/Hg. At the most relaxed part of the beat, a person's blood pressure drops to 80 mm/Hg. Supposing that t=0 corresponds to the relaxed part of the beat, produce an appropriate trigonometric function that captures this behaviour. Sketch the blood pressure over two heart beats.
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math question..............?
2016-10-13 4:41 pm
回答 (2)
2016-10-13 6:21 pm
If you make the (bad) assumption that pressure is approximately sinusoidal, you might model it as
.. p(t) = 100 - 20cos(2πt)
In fact, blood pressure has a steep rise, and a fall-off that depends on a number of physiological factors and disease states. A more complex model, yet still far from real, might be
.. p(t) = 100 + 120/(3+√4)*(sin(2π(t-1/8)) + sin(4π(t-1/8))/2 + sin(6π(t-1/8))/3)
as shown in the graph at the first source link.
.. p(t) = 100 - 20cos(2πt)
In fact, blood pressure has a steep rise, and a fall-off that depends on a number of physiological factors and disease states. A more complex model, yet still far from real, might be
.. p(t) = 100 + 120/(3+√4)*(sin(2π(t-1/8)) + sin(4π(t-1/8))/2 + sin(6π(t-1/8))/3)
as shown in the graph at the first source link.
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