Lab 4: Preparation of Standard Curves Standard curve Standard curves are used to determine the concentration of substances. They are obtained by relating a measured quantity to the concentration of the substance of interest in "known" samples, i.e. Standards of known concentration. These standards provide a reference to determine unknown concentrations. Thus amounts chosen of standards need to span the range of concentrations expected to be found in the "unknown" sample concentration. The quantity (assay measurements as i.e. luminescence, radioactivity, fluorescence, and optical density of various known concentrations of a substance) graphed on yaxis and standard concentrations on x-axis. Data analyzed by fitting a line on curve (see Figure below). To determine the unknown concentration of a substance in a sample (with same assay as for standards used), intersect across the assay measurement on y with standard concentration, and down to x. The concentration of substance in unknown sample is the value on x. 1 Task Graphing standard curves and obtaining accurate patient and control values from them. Objectives Upon completion of this exercise, the student will be able to: 1. Properly set up a standard curve whether using linear or semi-log paper. a. Absorbance vs. concentration b. % transmittance vs. concentration 2. Using the prepared curve, determine the concentrations for control and patient specimens. Materials 1. Linear graph paper 2. log graph paper 3. Absorbance and % transmittance values for standards, controls and patients. Principle Many laboratory tests require the outcome of a carefully controlled chemical reaction be evaluated or read in a photometer (colorimeter or spectrophotometer). Since these instruments are capable of only measuring the amount of light being allowed to pass through the cuvette, their readout devices display % of light transmitted or mathematically derived absorbance. One method of obtaining concentration from % transmittance or absorbance is through the use of a standard curve. For our purposes, standard curves are defined as a graphs with absorption or %T plotted on the Y axis, and increasing concentrations of standard along the X axis. If Beer’s Law is followed, the resulting line representing absorbance vs concentration will be straight. A standard curve is constructed after obtaining the %T/Abs readings from a number of solutions of known concentration (standards) used in a reaction or procedure. After the readings are obtained each is plotted on semi-log (% transmittance) or linear (absorbance) paper against the corresponding concentration. If the procedure follows Beer's Law, the points plotted will generally lie such that a straight line can be drawn through them. The concentration of controls and other unknowns (patient samples) can be determined by locating their %T/Abs reading on the line, then dropping an imaginary line down from that point to intersect the concentration axis. Once a standard curve is developed for a particular test method on a particular spectrophotometer, it should be checked periodically to determine that it is still good. A new curve should be constructed when there is a change in: ! reagent lot numbers 2 Methodology/ procedure an instrument parameter (change bulb, optics cleaned, etc.) Once the curve is drawn, a number of things must be considered to determine its acceptability. The majority of the curve’s points should be on or close to the line. There could be many reasons for a point not being on the line. If the standards are formed from a series of dilutions, the accuracy of the dilutions must be suspect. Calculations of the dilutions and spectrophotometer errores are other possibilities. Whether or not the curve passes through the point of origin (the “0"), varies with the procedure. If Beer’s law is followed and the procedure is linear at the lower concentrations, the curve’s line generally goes through the zero. Procedure I Basic Standard Curve Characteristics 1. Neatness counts. Preparing a good standard curve takes time and practice. A sharp pencil should be used during the early construction period. 2. Use the X axis for concentration. Determining how to space between the individual concentrations is done by trial and error and will also depend on the individual procedure. 3. The Y axis is labeled either %T (semi-log paper) or Absorbance (linear paper). The amount of spacing for absorbance readings is often times determined through trial and error. 4. Centered on top of the graph (such that it doesn't interfere with the readings) should be the name of the analyte measured (i.e., glucose). 5. On the upper right portion of the graph (again, such that it doesn't interfere) should be labeled as follows: Your Name , Date Analyte/Procedure Instrument Wavelength 6. The following is an abbreviated list of errors or problems encountered by students in the past. It is provided for you to consider as pitfalls to avoid. You should keep this/these page(s) handy when preparing your chemistry lab curves. a. Bottom of Y axis did not start at 0.000. b. Compressed Y or X axises. c. Uneven spacing of Y or X axises. d. Not labeling correctly/in the right place. e. Drawing curve point to point. f. Required information is missing/in the wrong place. g. “Fat” pencil lines/double/smeared lines. h. Making dots on curve’s line for unknown’s absorbance value. I. Drawing dotted lines on graph representing how the concentration of unknown was determined. j. Drawing circles around dots on the curve line. 3 Procedure II Preparing a Hemoglobin Concentration Standard Curve • Hemoglobin (Hb) is the standard abbreviation for hemoglobin, the oxygencarrying pigment and predominant protein in the red blood cells. Hemoglobin is the protein that carries oxygen from the lungs to the tissues and carries carbon dioxide from the tissues back to the lungs • hemoglobin molecule consists of four polypeptide chains: two alpha chains and two beta chains,The α and β globin chains are very similar in structure and each one of them is liked with a heme molecule. Measurement of hemoglobin The Cyanmethemoglobin Method for Hb determination is the reference method. Principle: • Whole blood is diluted in a solution of potassium Ferricyanide and potassium cyanide. • The Hb is oxidize to methemoglobin by the potassium Ferricyanide. • The potassium cyanide then converts the methemoglobin to cyanmethemoglobin. • The absorbance of the cyanmethemoglobin at 540 nm is directly proportional to the Hb concentration. • Sulfhemoglobin is not converted to cyanmethemoglobin; therefore, it can not be measured by this method. Hb (Fe++) K3Fe (CN)6 methemoglobin (Fe+++ ) KCN Cyanmethemoglobin Procedure of standard curve 1. Create a standard curve, using a commercially available cyanmethemoglobin standard which, has constant concentration 25g/dl, the following dilutions should be made to get the line between the concentration & the absorbance of the standard using also drab 2. kin reagent as shown: 4 Hb concentration g/dl Absorbance reading Volume of St / ml V of Drabkin reagent / ml 0 0 0 5 5 0.125 1 4 10 0.250 2 3 15 0.375 3 2 20 0.500 4 1 2. Transfer the dilutions to cuvettes. Starting with the blank, measure the absorbance on a spectrophotometer at 540 nm. 3. Plot absorbance on the y-axis and the Hb concentration on the x-axis. The Hb concentrations of the patients’ samples and controls can be read from this standard curve. Standard Curve 0.5 0.4 0.3 0.2 0.1 • 0 5 10 15 Concentration 5 20 Calculation Slope = abs (st) Con (st) 1 Slope = Con (st) = Factor abs (st) C (x) = Con (st) X abs (x) abs (st) C (x) = Factor 6 X abs (x)