Clinical Chemistry Lab Calculations: Spectrophotometry, Beer's Law, and Acid-Base Balance

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:

  1. Use the formula: ( A = 2.0 - \log(%T) )
  2. Substitute: ( A = 2.0 - \log(45) )
  3. 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:
    1. Prepare 4-6 standards of known concentrations covering the linear range of the assay.
    2. Measure the absorbance of each standard.
    3. Plot concentration (x-axis) vs. absorbance (y-axis) on linear graph paper.
    4. Draw a best-fit line through the data points.
  • Using the Standard Curve:
    1. Measure the absorbance of the patient sample.
    2. Find the absorbance value on the y-axis of the standard curve.
    3. Draw a horizontal line to intersect the standard curve, then a vertical line down to the x-axis.
    4. 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

Keep this summary

Save it to LunaNotes and it becomes a real note in your library — editable, searchable, and ready to turn into flashcards or a diagram. Free to start.

Save to LunaNotes

Or summarise for another video.

This summary and transcript were automatically generated using AI with the Free YouTube Transcript Summary Tool by LunaNotes.

Related summaries

Comprehensive Guide to ECG Waveforms, Intervals, and Heart Rate Calculation

Comprehensive Guide to ECG Waveforms, Intervals, and Heart Rate Calculation

Dr. Meena explains the fundamentals of ECG waveforms, intervals, and segments, detailing their durations, amplitudes, and clinical significance. Learn how to interpret P waves, QRS complexes, T waves, and calculate heart rate accurately using ECG readings.

Comprehensive Heart Anatomy, Physiology, and Electrolyte Balance Explained

Comprehensive Heart Anatomy, Physiology, and Electrolyte Balance Explained

This detailed lecture covers heart anatomy, muscle types, electrophysiology, and critical electrolyte imbalances. Learn how cardiac muscle functions, the role of ions in heartbeats, and the clinical significance of electrolyte disorders.

Comprehensive Biochemistry Overview: Metabolism, Enzymes, and Amino Acids Explained

Comprehensive Biochemistry Overview: Metabolism, Enzymes, and Amino Acids Explained

Explore the fundamentals of biochemistry including metabolism types, enzyme functions, digestion of macronutrients, and detailed amino acid classification. Understand anabolic and catabolic processes controlled by insulin and glucagon, and learn about the structure, properties, and metabolic roles of essential and nonessential amino acids.

Understanding Titration: A Comprehensive Guide to Determining Solution Concentration

Understanding Titration: A Comprehensive Guide to Determining Solution Concentration

Learn the step-by-step process of titration to measure solution concentration using hydrochloric acid and sodium hydroxide.

Understanding Lipid Digestion, Absorption, and Metabolism

Understanding Lipid Digestion, Absorption, and Metabolism

This lecture provides a comprehensive overview of lipid digestion, absorption, and metabolism, detailing the processes that occur from the mouth to the small intestine. Key enzymes, the role of bile, and the transformation of triglycerides into absorbable forms are discussed.

Found this summary useful?

Take it with you. One click puts it in your own LunaNotes library.

Save to LunaNotes

Start taking better notes today with LunaNotes