Mammalian blood pressure is represented by the following formula: blood
pressure (BP) = cardiac output (CO) X total peripheral resistance
(TPR). CO is the product of heart rate (HR) and stroke volume (SV);
whereas, TPR is represented by the formula [8 eta (n) length (l)]/ pi (insert
symbol for Pi) radius4 (r4)]. An increase in either
component of CO will result in increased BP. The only variable in
TPR that is easily changed is r4. An increase in the radius
of any blood vessel will result in a decrease in BP; likewise, a
decrease in radius will result in an increase in BP.
Both the heart and blood vessels are supplied by sympathetic innervation
(Guyton, p.194). Adrenergic receptors on the heart
are B1's; however, arterioles possess both alpha,'s and
Beta2's which cause vasocanstriction and vasodilation, respectively
(Guyton, pp. 671-673). Sympathetic stimulation of the heart increases
both HR and SV thereby increasing CO and BP.
Sympathetic stimulation of the arterioles results in vasoconstriction
and increased TPR since the alpha's outnumber the beta's
(Guyton, p. 673).
Normal HR and BP were 66 beats/minute and 153/148 mmHg, respectively.
After treatment with an alpha-blocker
phentolamine), the BP decreased to 123/115 mmHg; HR was unchanged.
Upon treatment with the adrenergic agonist,
epinephrine, HR increased to 154 beats/minute and BP decreased to 48/38
mmHg. The effect of sympathetic stimulation of the
heart was obvious; however BP decreased significantly. Thus, of the
two components that regulate BP, the effects of CO are
minuscule when compared to TPR.
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