Monday 26 August 2013

The Genius of Adolf Eugen Fick

Fick was a 19th century German physiologist. In 1870, he worked out that cardiac output could be measured from a subject's oxygen consumption, if the concentration of oxygen entering and leaving a given organ were known.

Thus, cardiac output= Oxygen consumption/Arterial O2 content-Venous O2 content

It is easy to calculate the arterial or venous oxygen content if you know the O2 saturation (SaO2) in arterial or venous blood, as almost all the O2 is carried by haemoglobin. Each gram of Hb carries 1.34 ml of O2.

Thus, Arterial oxygen content= 1.34*Hb concentration*SaO2

As cardiac output is expressed in l/min and Hb in g/dl, to make matters uniform, you have to multiply the denominator by 10.

Thus, cardiac output (l/min)= O2 consumption (l/min)/[10*1.34*Hb(g/dl)*SaO2]-[10*1.34*Hb(g/dl)*SvO2]

In practice, it is rarely necessary to determine the absolute cardiac output, but Fick's principle has been put to good use to determine the degree of left to right shunt by calculating the respective blood flow to pulmonary (Qp) and systemic circulation (Qs)in conditions such as ASD & VSD. In significant left to right shunt, Qp>Qs. If Qp is more than twice Qs, most authorities would recommend percutaneous closure of ASD or VSD with an Amplatzer device or a surgical closure if the shunt is very large, as with some VSDs.

It is easy to determine O2 saturation during cardiac catheterisation consecutively in the superior venna cava, right atrium, inferior vena cava, right ventricle and pulmonary artery. Pulmonary venous oxygen content is considered to be the same as the oxygen saturation of arterial blood measured during pulse oximetry, provided there is no right to left shunt. The latter can be detected by a drop off in O2 saturation while moving into the putative chamber, e.g decline in SO2 while moving from right atrium to right ventricle, suggests a right to left shunt from a VSD, while the same thing happening while moving down from the SVC to the RA indicates a right to left shunt via an ASD.

As the SVC normally has 3 times the flow as in the IVC, the systemic mixed venous O2 content is calculated as (3*SVC SO2+IVC SO2)/4.

Oxygen consumption can be be calculated by using a special spirometer with the subject rebreathing air and using a CO2 absorber.

Using the Fick principle, Qp/Qs can be written thus:

Qp/Qs= [Oxygen consumption/ 10*1.34*Hb*(Pulmonary venous SO2-Pulmonary arterial SO2)] divided by,
[Oxygen consumption/10*1.34*Hb*(Systemic arterial SO2-Systemic mixed venous SO2)]

or simply, Qp/Qs= Systemic arterial SO2-Systemic mixed venous SO2/Pulmonary venous SO2-Pulmonary arterial SO2

In practice, an alternative and non-invasive way to measure the pulmonary:systemic flow ratio in left to right shunts is to use Doppler Echo to find the area of the aortic and pulmonary outflow tracts and multiply them with their respective velocity time integral.

5 comments:

  1. ....whn we talk of Scientists of Yesteryears ,can't but admire their endeavour in adversity nd darkness prevalent during those days...they were Supermen ,there can't be any doubt abt. tht....Eugen Fick also holds such a distinction...wonderful reading...but will re read to grasp it further...

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  2. .... young RS m/22 wrks in an aerated water factory....& has been visiting me since Jan 12....he has a h/o lower abdominal pain for which in Sept'12 he was scanned by me ...Dx being Urolithiasis, with Microliths L Kidney.....this Jan'13 he reported bleeding p/r & lower abd.pain...in March again, he saw me with headache revealing Hypertrophied Turbinates L with DNS to Rt....July ,again he reported with Cough with Chills....regular inv. was Normal nd he recovered.....of late his complaints are of chills on & off nd not liking the ceiling fan any more....clinically systems r stable , T 37',Pallor + , BP 100/70, wt 64kg.....limited Inv.as per his convenience reveal TCDC,ESR,Urine Routine & C/s Normal,widal & MP & FP negative....Hb% 15.9gm/dl, RBC indices r deranged with MCV- 79.6, MCH 25.9pg , MCHC 33.7g/dl, the RBC count is 6.14mill/cmm.....ur val.opinion is sought...Tnx....!!

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  3. ....Apropos to the case, SRL Mumbai report is in hand....RBC 6mil./cmm,MCV 80, MCH 26, RedCellDistribution Width 14.8%,Platelets 312000/cmm, WBC & Total Differential Normal, Serum Iron 105, TIBC 297,% Satu.35,Hb A 95.3%,HbA2 2.9%, Hb F 0.2%,S,D,C, all 0%,Unknown Unidentified peak 1.5%(pl.elaborate on this parameter,wht's this actually.....)...he called me up 10mts back saying he feels the chills even while at wrk in the Sun....!!...Tnx...!!

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  4. This is a grey case. The key features are microcytosis in the absence of anaemia, recurrent abdominal pain and headache without fever or rise in inflammatory parameters.

    Iron deficiency is ruled out by a normal Hb in the face of a low MCV, normal iron studies, and a high RBC count. Beta thal trait is unlikely because of relatively high MCV, rather high Hb and normal Hb electrophoresis. Alpha thal carrier state with two genes deleted (usually -cis in Asians) is also unlikely because of rather high Hb and MCV.

    That leaves just one condition that can explain the microcytosis, headache and abdominal pain- lead poisoning. As far as I know, lead should not feature in an aerated water factory, but may be released into atmosphere from surrounding factories or by burning lead containing batteries etc at landfill sites openly, which has been a problem in the Maldives. A totally different, non work related exposure may occur through drinking illegally distilled alcohol ("moonshine") and the patient should be quizzed about this.

    I'd recommend checking the patient's blood lead levels through an Indian lab along with zinc protoporphyrin levels (ZPP). I'd expect both to be elevated.

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  5. .....extremely well enunciated...will see further Inv.can be done or not ....will chk tomorrow with SRL.....Tnx....

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