Chapter 6 Overview: Clinical Chemistry Laboratory Calculations
This lecture covers fundamental calculations used in clinical chemistry laboratories, focusing on spectrophotometry, Beer's Law, and their application in quantifying analytes. It also addresses acid-base balance, electrolyte calculations, and lipid profiles.
Spectrophotometry and Beer's Law
Spectrophotometry is a core technique used to quantify analyte concentrations based on the amount of light absorbed by a solution. This is governed by Beer's Law. For a deeper dive into how spectrophotometers measure light absorption, see How a Spectrophotometer Works: Light, Diffraction, and Sample Analysis.
- Beer's Law Formula: ( A = a \times b \times c ), where:
- ( A ) = Absorbance
- ( a ) = Absorptivity coefficient (constant for a given analyte at a specific wavelength)
- ( b ) = Path length (distance light travels through the solution)
- ( c ) = Concentration
- Transmittance: The ratio of transmitted light to incident light. Transmittance ranges from 0 to 1.0, and percent transmittance from 0% to 100%.
- Relationship between Absorbance and Transmittance:
- ( A = -\log(T) )
- ( A = 2.0 - \log(%T) )
- Absorbance Values: Range from 0.000 to infinity on a logarithmic scale and are reported to the third decimal place.
- Percent Transmittance Values: Reported to the nearest tenth of a percent.
Example Calculation:
A student obtains a 45% transmittance reading from a creatinine assay. To find the absorbance:
- Use the formula: ( A = 2.0 - \log(%T) )
- Substitute: ( A = 2.0 - \log(45) )
- Calculate: ( A = 2.0 - 1.653 = 0.347 )
Standard Curves
Standard curves are used to determine the concentration of an unknown patient sample by comparing its absorbance to known standards.
- Purpose: To establish a relationship between absorbance and concentration for a specific assay.
- Construction:
- Prepare 4-6 standards of known concentrations covering the linear range of the assay.
- Measure the absorbance of each standard.
- Plot concentration (x-axis) vs. absorbance (y-axis) on linear graph paper.
- Draw a best-fit line through the data points.
- Using the Standard Curve:
- Measure the absorbance of the patient sample.
- Find the absorbance value on the y-axis of the standard curve.
- Draw a horizontal line to intersect the standard curve, then a vertical line down to the x-axis.
- The point where the vertical line meets the x-axis is the patient's concentration.
- Important Note: If a patient sample's absorbance is higher than the highest standard, the sample must be diluted and the result multiplied by the dilution factor.
Example: Glucose Assay
- Standards: 50, 100, 200, and 300 mg/dL glucose with absorbances of 0.150, 0.300, 0.600, and 0.900, respectively.
- Patient Absorbance: 0.400
- Result: Using the standard curve, the patient's glucose concentration is read as 135 mg/dL.
Kinetic vs. Endpoint Assays
- Endpoint Assays: Measure absorbance after the reaction is complete. Use a single standard, standard curve, or molar absorptivity method.
- Kinetic Assays: Measure the change in absorbance at various intervals during the reaction phase. The change in absorbance (Delta absorbance) is measured.
- Reaction Phases:
- Lag Phase: Reagents begin to react; absorbance is not constant.
- Reactant Phase: Product is formed; absorbance changes linearly.
- Reagent Depletion Phase: Reagent is used up; absorbance stabilizes.
Enzyme Kinetics
- First Order Reactions: Substrate concentration is the limiting factor; reaction rate is dependent on substrate concentration.
- Zero Order Reactions: Substrate is in excess; the rate of reaction is directly proportional to enzyme concentration. This is used to measure enzyme activity.
Buffers and the Henderson-Hasselbalch Equation
- Buffers: Solutions that resist changes in pH.
- Henderson-Hasselbalch Equation: ( pH = pKa + \log \frac{[salt]}{[acid]} )
- Maximal Buffering Capacity: When the ratio of salt to acid is 1, pH = pKa.
Example: Phosphate Buffer Preparation
- Components: 5.874 g monopotassium phosphate (KH2PO4) and 1.191 g dipotassium phosphate (K2HPO4) in 1.0 L of water.
- pKa = 7.2
- Step 1: Calculate molarity of each compound using their molecular weights.
- Step 2: Plug molarities into the Henderson-Hasselbalch equation to find the pH of the buffer.
Acid-Base Balance
The body's pH is maintained by the carbonic acid/bicarbonate buffer system. For a broader understanding of pH and buffer systems, refer to the Comprehensive Guide to Acids, Bases, and pH Concepts Explained.
- pH of Blood: 7.35 - 7.45
- Key Relationship: ( pH = pKa + \log \frac{[HCO_3^-]}{[H_2CO_3]} ) where pKa = 6.10 at 37°C.
- Normal Ratio: Bicarbonate to carbonic acid is 20:1.
- Blood Gas Measurement: Partial pressure of CO2 (pCO2) is measured to assess respiratory function.
Acid-Base Disorders
| Disorder | pH | Primary Cause | Compensation | | :--- | :--- | :--- | :--- | | Respiratory Acidosis | Decreased (acidic) | Lungs cannot remove CO2 (high pCO2) | Kidneys retain HCO3- | | Respiratory Alkalosis | Increased (alkaline) | Excessive loss of CO2 (low pCO2) | Kidneys excrete HCO3- | | Metabolic Acidosis | Decreased (acidic) | Increased acid (e.g., ketoacids) | Lungs increase respiration to lower CO2 | | Metabolic Alkalosis | Increased (alkaline) | Excess bicarbonate (e.g., vomiting) | Lungs decrease respiration to retain CO2 |
- Rule for Interpretation:
- The analyte moving in the same direction as the pH is the cause.
- The analyte moving in the opposite direction is the compensation.
Example: Asthma Patient
- pH: 7.50 (alkaline)
- pCO2: Low (abnormal)
- HCO3-: Normal
- Interpretation: Uncompensated respiratory alkalosis.
Anion Gap
The anion gap helps assess electrolyte balance and detect unmeasured anions or cations. This concept is closely related to Comprehensive Overview of Electrochemistry: Concepts, Applications, and Calculations.
- Formula (with potassium): ( Na^+ - (Cl^- + HCO_3^- + K^+) )
- Formula (without potassium): ( Na^+ - (Cl^- + HCO_3^-) )
- Uses:
- Detect metabolic acidosis (e.g., ketoacidosis).
- Quality assurance check for electrolyte measurements (a negative result may indicate a problem).
Example: Diabetic Patient
- Values: Na+ = 140, K+ = 4.0, Cl- = 95, HCO3- = 15
- Calculation: 140 - (95 + 15 + 4.0) = 26 (elevated, indicating ketoacidosis)
Osmolality and Osmolal Gap
- Osmolality: Concentration of dissolved particles in a solution.
- Calculated Serum Osmolality: ( 2 \times Na^+ + \frac{Glucose}{18} + \frac{BUN}{2.8} )
- Osmolal Gap: Measured osmolality - Calculated osmolality.
- Normal Gap: 0-10 mOsm/kg.
- Elevated Gap: Indicates the presence of other particles like ketones or ethanol.
Example: Patient with Heat Stroke
- Values: Na+ = 152, Glucose = 180 mg/dL, BUN = 28 mg/dL
- Calculated Osmolality: ( 2 \times 152 + \frac{180}{18} + \frac{28}{2.8} = 304 + 10 + 10 = 324 ) mOsm/kg
Lipid Profile Calculations (Friedewald Formula)
Used to calculate LDL cholesterol when direct measurement is not available.
- Formula: ( LDL = Total\ Cholesterol - HDL - \frac{Triglycerides}{5} )
- Important Note: This formula is not accurate if triglycerides are > 400 mg/dL.
- VLDL Estimate: Triglycerides / 5
Example: Patient with Family History of CAD
- Values: Total Cholesterol = 280 mg/dL, HDL = 45 mg/dL, Triglycerides = 175 mg/dL
- Calculation: ( LDL = 280 - 45 - \frac{175}{5} = 280 - 45 - 35 = 200 ) mg/dL
this lecture will cover chapter 6 which covers the clinical chemistry laboratory calculations
depth of what spectrophotometry is because you do go over that in more detail in your other courses however in
general spectrophotometry is used to quantify the concentrations of various analytes based on the amount of light
that the analyte absorbs and so this is based on the theory of Beer's Law which states that the amount of absorbance of
a solution is directly proportional to that solution's concentration so in Practical times the darker the solution
means the higher the absorbance and the more concentrated that that particular solution is
so Bear's law states that a represented by absorbance or absorbance equals a times B times C which equals
absorptivity coefficient the path length as well as the concentration the absorbativity coefficient is the
amount of light absorbed by an analyte at a specific wavelength and it is constant for a particular analyte at a
particular wavelength if certain conditions such as temperature solvent pH remain constant now the path length
is the distance that the light actually travels through the solution and if the analysis is performed correctly it is
also a constant thus if we remove the two constants in an equation then we will come up with a with an additional
equation so as you can see here absorbance is directly proportional to the actual concentration Beer's Law is
actually possible because of the concept of transmittance so when a cuvette containing a solution
that we're analyzing is actually placed inside of a spectrophotometer the light can actually show be shown through it
the solution will absorb some of that light so this is the absorbance but the remainder of the light will actually be
transmitted through that cuvette and then be um
be transmitted onto a photodetector so when that photodetector actually gets that light on it it actually
measures that particular light or the transmittance of that light that light on that photo detector is
known as the incident light so that particular light we can use that to plug into an equation
where the ratio of the amount of transmitted light is divided by the amount of that incident light which is
also known as transmittance so this is demonstrated mathematically where transmittance equals the light
that is transmitted over the light of the incident light so that that is detected on that photodetected photo
detector so transmittent ratios range from 0 up to 1.0
by multiplying by a hundred percent transmittent values can be obtained ranging from 0 to 100 on an actual
linear scale so if all the light is transmitted through the solution that is that no light is absorbed by the actual
solution then the transmits transmittance ratio is 1.0 and the percentage percent transmission
is actually 100 because a hundred percent of it transmits through the solution
if no light is transmitted through the solution then the transmittent ratio is zero or
zero transmittance so all that light has been absorbed 100 percent absorbed in the solution which means no light is
coming through it mathematically transmittance and absorbance are related by the formula of
a equals negative log times transmittance so we can actually take that formula of absorbance equals
negative log times transmittance and manipulate it a little bit to get an equivalent formula and so you see that
listed here and then that can further be converted from a transmittance to a percent transmitting transmittance and
then from there you will end up with the equation that absorbance equals 2.0 minus log percent transmittance
now in contrast to transmittance ratio absorbance values range from 0.000 to Infinity on a logarithmetic
scale so you can see here the pictures that indicate an absorbance in percent transmittance meteor meter so you can
notice how much easier it would be to actually interpret something on a linear scale for percent transmittent versus a
logarithmic absorbance scale and so by a convention absorbance values are reported to the third decimal place
so that will be like 0.000 whereas percent transmittent values are actually reported to the
nearest tenth with um that being a percentage student was doing a manual creatinine
essay using the jaffeine method and so 45 transmittance reading was obtained from the cuvette
that had the level one creatinine control and reagent that were mixed in this to get this reaction so we want to
know what is the absorbance value well to solve this we would use the formula that we that we just discussed where
absorbance equals 2.0 minus log percent transmittance so that would be the 45. so we'd use a calculator or you could
actually use a logarithmic table and there is there is a copy of this in your textbook but of course using a
calculator is going to make this a whole lot easier and so you would take the log of 45
and plug that into the equation which is going to give you 1.65653 and subtract that from the 2.0
which is going to give you your absorbance of 0.347 this means that a percent transmittance
value of 45 is going to have an absorbance value of 0.347 so you may be trying to figure out well
why is all of this important well this is what's going to be the basis of establishing your standard curve that
you will use on your instrumentation to actually determine what your unknown values are for your patient sample
so to do that we first must actually make a standard curve now in The Clinical Laboratory most
essays do not actually use a single standard to to quantify your unknown so instead you use four to six standards of
different concentrations that are spread out evenly across your linear range of that particular method so by doing this
more the linear range of that assay is actually covered by your standards when compared with a single standard method
so many automated instruments you'll have a series of Standards or calibrators
that are used to actually set the standard skirt standard curve that is stored in that particular instrument's
computer data and then what will happen you'll have an electronic signal that's generated by the instrument
based on that transmittance value of that particular sample and then that's compared with the computer stick
computer's standard curve for that analyte that you're actually measuring from that sample and then the computer
is going to generate a quantitative result for that particular sample of that particular analyte in that
sample and then of course it's going to send that message to your the analyzer's computer or to your Lis your laboratory
information system or to your printer or whatnot now as a student you're going to learn
the concepts of actually constructing a standard curve and being able to graph it on some linear graph paper to
determine the concentrations of standards are using the concentrations of those standards and graphing those on
the x-axis and then taking the absorbance of whatever that standard is on your spectrophotometer and graphing
that on the y-axis and of course this is going to give you a standard curve so what we're going to do is kind of
talk a little bit more about how to construct a standard curve now anytime you do a manual essay using
the spectrophotometer you're going to follow Beer's Law you're actually going to use a piece of linear grad paper and
then the standard curve of the absorbance obtained from the standards is going to actually give you a straight
line so the concentrations of the standards should range between the highest and the
lowest range the linear range of what you're trying to measure for that particular analyte and two to three
concentrations evenly spaced between the two outermost limits and let's face it we don't exactly live
in a perfect world so although our standard line should be a straight line occasionally you have to do a line
that's best fit so it's not exactly point to point connect the dots because this can be skewed just a little bit but
you basically try to attempt to draw a line that best fits and best hits all of those data points
additionally this line should never extend beyond that highest point that's actually on that standard patient
samples that have absorbances higher than that highest concentration of that standard need a dilution in order to
determine that absorbance if it falls outside of that linear range and of course once you make that dilution you
need to reanalyze it and then factor in for that actual dilution that's being made so standard curves are not limited
to just the chemistry Department you also use these in hematology Department as well
um so do keep that in mind so just a side note a standard curve can actually be plotted using percent
transmit values however if you plot it on a linear graph paper then the percent transmittance standard curve is actually
it has a curve to it it's a curvy linear and you can see an example of that here so in order to form a straight line the
percent values must be plotted on a the semilogrammatic graph paper and so that
that we'll see here next and here you see that same plot just on a different graph paper you can see the
difference in how those lines are drawn on that graph paper so it gives you that straight line so obviously you'd have to
have special graph papers to do this so we don't really use this a lot click an example of how to actually
construct that standard curve and then what you do with it after you've constructed it so in this particular
example we are doing a manual glucose assay in which we have standards that measure out at 50 milligrams per
deciliter 100 to 200 and 300 and of course once we mix that solution and get that chemical reaction perform that test
we know that this is the expected concentration of these we know that the 50 milligram per deciliter should read
50 milligrams per deciliter on this particular analyzer on the spectrometer so once we get that absorbance reading
we know that that is 0.150 and so then what we'll do is we'll actually plot that value for the 50 milligrams so
again at the bottom you've got your glucose concentration in milligrams per deciliter and then of
course over here on the side we have our absorbance so we have our different
absorbance regions that are measured out here and then we plot the 50 milligrams you can see where that first one here
has been plotted and then we do that for each of them we plot them whatever their absorbance reading is once we get that
plot then we do our straight line which is our best fit line and for this particular one it actually looks like it
hits on each of the um each of our data points pretty pretty
evenly but if it didn't we would start at the zero and we would try to draw a line that best fits hitting all of those
data points to give us that straight line so now that we've got our standard curve
established we know that this particular concentrate and we'll read at this particular absorbance and
so with that we can do the same for our patients so with our patient we we don't know how much of that glucose
is in there so we got to figure that out so if we run the test the same way what we did with those standards put it in
the spectrophotometer and read it then we are going to get the absorbance of that particular patient sample so that
we can know what's the concentration of the glucose in that patient sample so what we would do is actually use that
standard curve on that graph paper that we just made and we will figure out where does that absorbance of
0.0400 hit on that scale so with that absorbance reading of 0.400 we would actually find it on our graph
paper and we would use a straight edge and we would go all the way across until we hit our points of interception so we
can see here where it intercepts on that line and then if you go all the way down then you would figure out what the
actual concentration is so in this particular patient our concentration of where it intercepts that is 135
milligrams per deciliter so this would be what would be reported out for this patient's glucose concentration
so chemical reactions in chemistry can have either an endpoint or kinetic reaction so with endpoint assays the
measure it actually measures the absorbance of the reaction at the completion of the reaction so when it
ends and this this means that many of your manual chemistry tests that are wet chemistry meaning that it's done on a
liquid Matrix versus using dry reagents when they're performed by a student in like a Clinical Laboratory these are all
endpoint type essays where you actually have some sort of incubation period could be a few minutes to 15-20 minutes
that allows that reaction to actually take place now with endpoint essays you can
actually use a single standard a standard curve or you can use another method known as a molar absorbs
absorption absorptivity method in order to calculate the concentration of that patient's sample now with endpoint
essays they may use an enzymes within the reaction as part of that reagent but
analysis of the enzyme itself is not performed as an endpoint reaction so in many Laboratories analytes are actually
measured using a very large multi-channel Random Access analyzer and so and this kind of helps with the speed
process of actually doing those reactions because multiple samples can be be done at one time and so in order
to do that you actually need kinetic reactions so a kinetic reaction differs from the endpoint reactions and this is
because that the reaction does not go all the way to completion but rather the absorbents are taken at various
intervals for short periods throughout that testing process so some analyzers will actually continuously monitor the
absorbance readings instead of actually monitoring the various fixed intervals in order to improve accuracy so in any
reaction whether it's kinetic or endpoint there are various phases that also have to be that we have to pay
attention to phases are going to include the Lac phase in which the reactant reagents or
first starting to react together and then you have the reacting phase in which the product is actually formed so
whatever you're looking for and then the reagent depletion phase which you can see here on this graph so in the Lac
phase the absorbance of the product is not constant so in the reactant phase the absorbance actually starts to change
if there is more reactant than reagent can react with then the third phase which a reagent is actually start
starting to be depleted this is when this happens so in this phase the absorbance values will remain the same
in an endpoint assay the reagents are in excess so you have too much of the actual reagent that the reagent
depletion phase doesn't actually happen so rather the reaction is allowed to proceed past that phase until all of all
of that particular reactant has been used up so at this point the absorbance is stable but in a kinetic reaction the
absorbance regions are taken during the second phase and so um
that change in absorbance or that Delta absorbance is what is actually measured let's talk about
enzymatic type reactions in the enzyme kinetics of those with first order reactions these are
reactions in which the enzyme is in excess and the substrate concentration or the concentration of the analyte that
we're looking to measure is the actual limiting factor so in first order reactions the substrate
concentration is low relative to the enzyme concentration so a low substrate concentration at a low substrate
concentration these rates of reaction is dependent on the substrate concentration so first order reactions tend to be used
when non-enzyme analytes are being measured in an enzyme an enzyme or other enzymes are used in
that particular reaction sequence sequence as part of your actual reagent now when the activity of an enzyme needs
to be measured conditions of the essay are maintained in order to allow for zero order of order kinetics to actually
occur so with zero order kinetics the rate of the reaction is directly proportional to
the enzyme the enzyme concentration and it's independent of the substrate concentration
so with this the substrate is actually kept in excess so you have too much of it this means that the rate limiting
factor is the concentration of these of the enzyme that you're actually looking for in measuring
so zero order kinetics gives us the following reaction that will actually take place so when you have the enzyme
and the substrate mixed together that's going to yield an enzyme substrate complex which then will additionally
yield the enzyme plus the product now keep in mind that the temperature of the ph and any other variables are kept
at a constant during these reactions whereas the um
the any kind of secondary enzymes that you use in this reaction are also kept in excess along with
any of the substrates that are also used and so there is a special equation that's actually used to do this
calculation now this is not something that I'm going to make you know it's just so that you can understand how the
analyzers actually use this process to to actually get the calculations for these results when you're you when you
have a sample put on the machine and it actually runs through an enzymatic type type reaction so if your analyzer uses a
zero order kinetics it's actually using this to do those calculations so again I'm not going to go a lot into
how these cons this calculation is done but you can see here that the curve of the Velocity versus the substrate
concentration for the zero order kinetics kind of helps to illustrate that particular equation
um and here it kind of lists some of the variables depending on that Now While most of your Chemistry tests
do have standards that are made for to be able to establish those limits just know that standards may not be available
for many of your enzymes so it may be possible that you have to actually do a determination of the activity so this is
something that could be done within the analyzer but there is there is an equation to do that of course
an example of this type of reaction would be a kinetic creatinine kinase assay in which you know it was manually
performed using a coenzyme nadh as part of that as part of that reaction indicator
and so you know in this particular example we'd want to figure out what is the concentration of the level 1 QC so
you would have your volumes of your various reagents your absorbance readings and whatnot you'll have your
your set values that you will know and you would plug get those plugged into the equation that ultimately would give
you your result for that particular QC reaction buffers are solutions of weak acids or
bases and their salts that resist changes in PH so for example during serum protein electrophoresis the pH of
the solution that conducts the current is maintained by a buffer so buffers are actually used in other areas of Clinical
Laboratory as well as including your molecular Diagnostics Department so the pH of any solution is determined
by its acidity so a simple definition of an acid is that that of a substance that will
donate a hydrogen ion or a proton and a base is a substance that will accept that particular hydrogen ion or donate a
hydroxyl ion so this definition is known as the bronsted theory and with the bronsted
acids that has donated a hydrogen ion it will will then become a bronsted base the acid is termed a conjugate acid in
the newly formed base is termed the conjugate base so some examples of conjugate acids and conjugate base pairs
carbonic acid forming bicarbonate now our acid or a base can be termed stronger wheat depending on its tendency
to disassociate so strong acids or bases will completely disassociate when they're actually in a solution so
example this would be hydrochloric acid it's a strong acid so when placed in water it will it will completely
disassociate the hydrogen and the chlorine ions and now this disassociation is a constant Ka
which determines the relative strength of an acid or a base and so here we have the equation for
calculating KA for weak acid or base so again if you kind of do some manipulations and move some things
around and substitute some things in then you can actually um
fix this equation so that something that's a little bit more understandable which comes gives you the
henderson-hasselbolic equation where pH equals PKA plus log of the salts of the acid over the UN un disassociated acid
so this helps us to understand that if the ratio of salt to acid is one then the pH is going to equal the pka
or the disassociation constant this means that the buffer is at a maximal buffering capacity now in an
acid solution raising the pH above the pka it's going to cause an increase it's an
increase in the disassociation of the acid it's going to increase the amount of hydrogen ions and it's also going to
lower the pH now in a basic solution if the pH is below the pka the more of the hydroxyl
ions will actually be released and this is going to actually lower the pH so here we have an example where
technologist is to prepare a phosphate buffer by adding 5.874 grams of monopotassium phosphate
and 1.191 grams of its salt which is the dipotassium phosphate and you would add
this to water to make a 1.0 liters of water now the pka of the buffer is known to be
7.2 so we want to know what is the pH of the phosphate buffer so we would use our equation
we'd figure out what the conjugate acid is and what the conjugate base is now this is this all goes back to chemistry
organic chemistry for this so when all that's plugged in we get our equation that's noted here to the side
so then our next step is to actually determine the molarity of each of those compounds based on the quantity of grams
of each of them so we would get those actual molecular weights for them and then we would use our molarity formula
to do that calculation for for each of those from there we plug those values in
continue to work our problem out using the rules of logarithm and then ultimately come to the pH of our
solution so why is all of this important well this kind of helps us with understanding
acid-base balance and how to get those acid-base calculations because the pH of the body is strictly
controlled by the carbonic acid bicarbonic buffer system and so when you kind of plug all this stuff into these
equations then it gives us that a PKA for Carbonic acid bicarb bicarbonic buffer system is going
to be 6.10 at 37 degrees Celsius which is body temperature and so we know that the waste product of
cell metabolism is CO2 and that is carried within the plasma from tissue to our lungs in different forms but the
three most important are a gas dissolved in plasma so um
that's going to be your your carbonic acid so um and then it can also be further
broken down into carbunum carbamino hemoglobin which is going to exist within the red blood
cells so this whole system is just a balance of um
a balance of status that's going to be dependent upon the particular actions of the lungs and the kidneys and being able
to actually do the adjustments to that pH as things kind of shift throughout the body now the ratio of bicarbonic to
carbonic acid is about a 20 to 1. but with within the blood the pH of the blood is directly affected by that
particular concentration of the bicarbonate and inversely affected by the concentration of that carbonic acid
so with your blood gas instruments the partial pressure of CO2 can be measured as pco2 now there is a relationship
between the bicarbonate and the pco2 um and so you can see that listed here with the solubility coefficient of P CO2
under equilibrium conditions carbonic acid forms that dco2 now we plug everything in and substitute
it it gives us it lets us know that dco2 is um
is actually equal to the solubility coefficient of P CO2 and so we can plug that in to get our
equation for pH based off of this so how this is actually used within the lab is that you know we can measure to
figure out how much bicarbonate concentration there is so we would do this by for example here we actually
have our pco2 values and our pH if we plug that into the equation then once that equation is worked out
then it's actually going to give us our bicarbonate level for that particular patient in that sample
now the PH of blood is usually maintained between 7.35 and 7.45 now I'm not going to go in
the pathophysiology of how this all happens but it is a balance between the kidneys and the lungs working together
to make sure it maintains that balance so if one or the other or both is off then obviously you're going to have some
changes now if the pH drops too low it's considered an acidosis and if it goes too high it's considered an alkalosis so
these changes you can actually you know again kind of plug those into into these equation and then it kind of you can
kind of start getting a visualization of how this whole process is is taking place within the body so a way to
visualize that is the relationship between bicarbonate and carbonic acid which is actually your relationship
between your kidneys and your lungs so again you're going to learn a little bit more about this in your actual
chemistry course but just be aware that there are some disorders that can actually happen when there's an
imbalance that takes place so that's why it's important for us to do these blood gas measurements in order to figure out
what exactly is going on so with respiratory acidosis your pH of your blood is actually acidic the respiratory
part of it means that the major calls of it is the actual acidosis now if the lungs cannot adequately
adequately remove that CO2 that CO2 is going to start to build up which is going to mean that that pco2 level is
going to increase which is actually going to result in a lowering of that pH a reciprocal relationship between the
CO2 concentration the pH means that if that pco2 is going up that means that pH is actually coming down now with
respiratory alkalosis just as it suggests you have an increase in PH that's caused by a drop in that those
CO2 levels and so then some compensation can take place where your body is just kind of decreasing the respiration rates
or the kidneys actually starting to retain some of those hydrogen ions so that it can try to actually start to
balance some stuff out with metabolic acidosis this is caused by a metabolic increase in acid so this
is seen a lot with your your diabetics when they're in diabetic ketoacidosis so the body's actually compensating by
trying to increase your respiration rate to get rid of that CO2 and it's actually raising the ph and then the kidneys are
going to respond by increasing those acid secretions and the and have that bicarbonate retention so this is a lot
of times why diabetics will test for those ketones and stuff within doing those urine strips now with metabolic
metabolic alkalosis this is primarily caused by an excess of your bicarbonate so this may result from an insufficient
excretion of bicarbonate by the kidneys so there could be something going on there in the kidneys that's causing it
not to filter that out an increase ingestion of bicarbonate such as like with your anti-acids or if a patient has
been vomiting a lot which can lead to a loss of hydrogen ions and a buildup of bicarbonate as well now the body will
actually compensate for this by what the lungs are actually starting to decrease respiration to kind of try to
retain that CO2 and then the kidneys will excrete more that bicarbonate so this whole thing is really kind of a
seesaw mechanism of balance there but in order to determine the acid-base status we've got to look at the pH so again
patients that are above 7.45 those are considered to be an an alkalosis type State whereas if they're
below 7.34 or 5 they're in acidic state so we look at those bicarbonate values does it fit the pH in other words the
bicarbonate values move in the same direction as the pH so if pH is is alkaline then is the bicarbonate
elevated above the normal if the pH is acidic is that bicarbonate below the normal range so we've got to also look
at the pco2 is it what is expected giving the pH and this is where we kind of look at
compensation so when a metabolic problem affects the pH those lungs are going to immediately react to try to bring that
pH back into a normal range and your kidneys can take a little bit longer to get that pH back into a normal range but
they do they do try to work on that by through that excretion now the body never over encompensates so
in other words it's not going to take you too far in One Direction after you've been too far in another Direction
the body has a comp the body's able to compensate when that pH it's once it's back in normal range then
it's already done its job so it's going to kind of shut off those mechanisms it's not going to keep going so the
bicarbonate and P CO2 levels are very um they could be very abnormal but as long as the pH in the body is within
range then the body has actually done its job so you could still see those values kind of off but everything's kind
of brought back into line so what all this does it helps us to determine what actually caused the
initial problem and what had to happen in order for that compensation to take place so whereas the analyte that has
moved in the anticipated direction of the pH is actually the culprit the analyte that has moved opposite of what
you would expect to see of the pH is actually the one that's doing the compensation
so let's look at an example so a patient comes to the ER and they have an an asthma attack trouble and they're having
trouble with with exhaling so blood gas is performed we get those values here so we want to determine what is this
patient's acid-base status and we want to know is this patient compensating for it now it's not necessarily something
that you're going to do in the lab you're basically just going to send out the results but this is what the
physician is looking for so for this particular patient pH 7.5 which means the patient is in an
alkaline state so at this point they have not brought that pH into normal range so the pco2 is
abnormally low and the bicar bicarbonate is normal So based on this with the patient's asthma we can determine that
they've not compensated they're in respiratory alkalosis and they have not yet compensated for this
so just like the body straps to maintain that 20 to 1 balance between the bicarbonate and the carbonic acid the
body also tries to maintain the electrolyte neutrality balance so the concentration of anions should be equal
to the concentration of the cation cations within the body now the measurement of this balance is
done by actually getting the anion gap so what the anion gap does is it doesn't actually measure all of the anions and
cations within the body but just those are the highest concentration that could actually significantly alter any sort of
balance that's taken place in the body so A cation is found in the highest concentration in Blood and that that
particular one that is in the highest is actually sodium now chloride is the most abundant anion within the blood
bicarbonate is also an anion and it is included within that anion gap now some Laboratories will use potassium
in this calculation however the concentration of potassium is relatively low compared to the others but here you
can see the equation listed for both so here we have an example where a 58 year old woman who's insulin dependent
she's known diabetic she comes to the ER and she's in a comatose type state so they run her electrolytes most likely
they're just going to do this in a basic chemistry panel or cement panel but they run it and get those values
um and then once they get those values they'll plug those into the anion gap now your analyzers will actually do this
for you and which is also a good check um when you're reviewing results just to make sure that this this anion gap is
not a negative number if you've got a negative number or something that could be a good indicator that something's
wrong with your machine or your sample and you might need to rerun it but getting back to what we're discussing
here with your anion gap when you plug those values in you can get the calculation and we see here we've got
the calculation using with the potassium without they're pretty close so whatever your lab uses it will establish the
reference line just for this of what's acceptable and not acceptable now how are we going to use these values
what are we going to do with them once we get them well what this says it actually helps
you to be able to detect any sort of changes and concentrations of anything that's been unmeasured any anions or
cations that haven't been measured so for example if it's elevated it could be due to the presence of other anions such
as various proteins most commonly would be your acids such as like your keto acids like when we're diabetic patients
go into that diabetic ketoacidosis state and a decreased anion gap could be seen when there is an increase in unmeasured
cations such as magnesium or calcium now in addition the anion gap could be like a set of quality assurance measurement
to make sure that you you are you have reliability in those electrodes and determining that electrolyte
concentration so this is one of those numbers you're going to take a quick quick peek at before you send out those
results just as a quality check so the osmolality of a solution is based on the number of dissolved particles in
a solution not on the actual size weight or ionic activity of those particles now a one molal solution of glucose is
also a one osmolal solution because glucose does not disassociate whereas a one malial solution of sodium chloride
is equal to a two osmal solution because the sodium chloride disassociates into sodium particles and chloride particles
now osmolality measures the total concentration of all the ions and molecules present in serum or urine so
sodium glucose and urea are major compute contributors to the total osmolality of serum now but
now because major contributors to serum osmolola to your tightly regulated the osmolality of serum can actually be
calculated so the number 1.86 is used because each of the sodium ions is balanced by an
anion but there is not a perfect disassociation so 18 is used because of the molecular weight of glucose is
approximately 180 and the factor of 18 converts milligrams to deciliters to millimoles per liter so the molecular
weight of bun is approximately 28th therefore 2.8 is used this formula can't be used for
calculating urinal osmolality because the concentration of those particles vary greatly and so depending on the
structure or depending on the hydration State it's going to actually play some factors into this
so here we have an example where 70 78 year old male is emitted to the Ed with a heat stroke
We've ran our our labor work lab work there and we're trying to determine based off these values what is the serum
osmolality so to do that calculation you plug all those values in and then you come up
with your serum osmolality for this particular patient now the osmo Gap is the difference
between the calculated osmolality and the measured osmolality so the average osmogap is about 0 to 10
when the Gap is elevated it's usually due to other particles besides the sodium glucose or bun so the presence of
ketones or alcohol such as like an ethanol in the serum can cause that to be elevated so as us osmo Gap may be
very useful as a quality assurance type indicator when you're when you're looking to whether or not to release
these results so just to kind of make sure that there's nothing that could be interfering so here we have an example
54 year old female found unconscious admitted to the hospital we've got our let her lab results here
and of course we will need to plug all of that into our equation and we also have her her serum
[Music] etoh or her ethanol
so when we plug all of those in we get those calculations first we get that osmolality and then we get the odds the
osmo Gap so the difference between the calculated and the measured once we figure that out we've got that
value in this particular patient it is indicative of the presence of other dissolved particles in the serum so that
leads us to believe that that ethanol that's present in her Serum is what's causing that to be so increased
so coronary artery disease is one of the leading causes of death today so consequently patients and Physicians are
always trying to figure out you know how to determine their risk factors and using laboratory work to be able to
determine that so what we use is actually measurements of total cholesterol HDL cholesterol LDL
cholesterol until triglycerides to help us assess that risk while there are only a few methods out
there that will actually measure the LDL we're able to actually perform that calculation using um
the federal formula to actually do that calculation so that that calculations listed here which uses the total
cholesterol HDL and the triglycerides divided by five now just a note that triglycerides divided by 5 is actually
an estimate to a vldl and so the formula is not accurate if the the actual triglyceride
concentration is greater than 400 so and we have to assume that no other sources of triglycerides are present like
calamicrons so in order to ensure that you just want to make sure that your patient is
fasting when you collect these results or collect collect these labs to obtain these results
now again our analyzers are starting there are some methods that are starting to be developed that will actually
analyze it directly but you still have some Labs where the calculations will be performed so here we have an example 43
year old a man with a family history of coronary artery disease and then he's had his lipid profile performed we've
got those those values here we're trying to figure out the LDL if you remember HDL that's considered
your healthy cholesterol and then your LDL is your lousy cholesterol so
figuring out those values based off of this calculation is going to kind of help you assess that so if you plug all
of these in do the calculations then you get an LDL of 200.
To convert percent transmittance (%T) to absorbance (A), use the formula A = 2.0 – log(%T). For example, a 45% transmittance reading gives A = 2.0 – log(45) = 2.0 – 1.653 = 0.347. Absorbance values are logarithmic and typically reported to three decimal places.
First, prepare 4-6 standards with known concentrations covering the assay's linear range, measure their absorbances, and plot concentration on the x-axis versus absorbance on the y-axis. Draw a best-fit line through the points. Then, measure the patient sample's absorbance, find that value on the y-axis, trace horizontally to the curve, then vertically down to the x-axis to read the concentration. If the patient's absorbance exceeds the highest standard, dilute the sample and multiply the result by the dilution factor.
Endpoint assays measure absorbance after the reaction is complete, using a single standard, standard curve, or molar absorptivity to calculate concentration. Kinetic assays measure the change in absorbance (delta absorbance) at intervals during the linear reaction phase (reactant phase), where absorbance changes proportionally to enzyme activity, making them ideal for enzyme measurements.
The key relationship is pH = pKa + log([HCO3-]/[H2CO3]), where pKa is 6.10 for blood at 37°C. The normal 20:1 ratio of bicarbonate to carbonic acid maintains a pH of 7.35-7.45. For interpretation, the analyte moving in the same direction as the pH (e.g., increased HCO3- with increased pH) is the cause; the analyte moving opposite to the pH indicates compensation.
The anion gap is calculated as Na+ minus (Cl- + HCO3-), with or without including K+; the typical formula without potassium is Na+ – (Cl- + HCO3-). An elevated gap (e.g., 26 in a diabetic patient with Na+=140, Cl- =95, HCO3- =15) suggests metabolic acidosis from unmeasured anions like ketoacids. A normal gap rules out such acidosis, and a negative result may indicate a lab error.
The Friedewald formula (LDL = Total Cholesterol – HDL – Triglycerides/5) should not be used when triglycerides exceed 400 mg/dL, as the estimate for VLDL (Triglycerides/5) becomes inaccurate. In such cases, direct LDL measurement is recommended. The formula is reliable when triglycerides are below this threshold.
The osmolal gap is measured osmolality minus calculated osmolality (2 × Na+ + Glucose/18 + BUN/2.8). A normal gap is 0-10 mOsm/kg. An elevated gap suggests the presence of unmeasured osmotically active particles, such as ketones, ethanol, methanol, or ethylene glycol, often seen in toxic ingestions or metabolic disorders.
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