Question

In: Biology

You want to measure the blood oxygen level in a drop of blood using a pulse...

You want to measure the blood oxygen level in a drop of blood using a pulse oximetry device. If you have a light source at 700nm, and 1mm of path length. What must be the concentration of,

a.Oxidized hemoglobin (HbO2) concentration in blood so that the light intensity at the output decreases to the one tenth of input intensity?

b. Reduced hemoglobin (Hb) concentration in blood so that the light intensity at the output decreases to the one tenth of input intensity?

c.At the concentration you found in b, what is Ii / If for oxidized hemoglobin?

Solutions

Expert Solution

Answer:

using Beer Lambert's law, which states that:

  • A = log Ii / If = ε * l * C

where:

  • A ==> Absorbance
  • Ii ==> Input light intensity
  • If ==> Output light intensity
  • ε ==> Absorptivity (Extinction coefficient).
  • I ==> path length in cm.
  • C ==> Concentration.

a):

Using beer lambert's law:-

  • For oxidised Haemoglobin (HbO2).
  • log Ii / If = ε * l * Coxidised
  • where, If is (1 / 10)th of Ii
  • Therefore, log Ii / ((1/10) *Ii )= ε * l * Coxidised
  • l = 1mm = 0.1cm
  • Hence, εHbO2 * Coxidised = 0.1 * log 10
  • To find , the concentration we need to the extinction coefficient for oxidised Haemoglobin (HbO2).

b):

  • For reduced Haemoglobin (Hb).
  • log Ii / If = ε * l * Creduced
  • where, If is (1 / 10)th of Ii
  • Therefore, log Ii / ((1/10) *Ii )= ε * l * Creduced
  • l = 1mm = 0.1cm
  • Hence, εHb * Creduced = 0.1 * log 10
  • To find , the concentration, here we need to the extinction coefficient for reduced Haemoglobin (Hb).

c):

  • Using the concentration Creduced by substituting this value in a) in place of Coxidised  we can get the Ii / If value for oxidized haemoglobin.
  • Therefore, in order to solve thw question the teacher need to know the extinction coefficients εHbO2 and εHb of the oxidized haemoglobin (HbO2) and reduced haemoglobin (Hb) respectively..

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