J. J. B. Smith
Berry is a Professor of Zoology at the University of Toronto. He received his B.A. (1962), M.A. and Ph.D. (1965) from Cambridge University, England. He teaches Neurobiology and Introductory Biology courses, and conducts research on the physiology of insect sensory systems and their role in behaviour, particularly the sense of taste.
| Reprinted from: Smith, J. J. B. 1994. Determining hemolymph
volume of the cockroach. Pages 119-139, in Tested studies for laboaratory
teaching, Volume 15 (C. A. Goldman, Editor). Proceedings of the 15th
Workshop/Conference of the Association for Biology Laboratory Education
(ABLE), 390 pages.
Although the laboratory exercises in ABLE proceedings volumes have been tested and due consideration has been given to safety, individuals performing these exercises must assume all responsibilities for risk. The Association for Biology Laboratory Education (ABLE) disclaims any liability with regards to safety in connection with the use of the exercises in its proceedings volumes. |
This exercise is designed to be completed in one 3-hour period. At the University of Toronto we have used it in an introductory biology course, but it might also be suitable for an introductory course in animal physiology. We have usually presented it as the second in a series of four related physiology laboratory exercises, although it will stand on its own if students already have the appropriate background.
The first exercise in the series introduces students to various techniques: using pipets, measuring volumes, making dilutions, the serial dilution technique, and using a spectrophotometer for measuring concentration. Equipped with these skills and a standard curve for dye concentration versus optical density, the students would then be ready to measure hemolymph volume in a cockroach in the second exercise. In the third exercise students determine protein concentrations in the cockroach hemolymph. They produce standard curves for the spectrometer using a dilution series of albumen, and its quantitative binding to the dye naphthalene blue-black. They then work with unknown protein samples and samples of cockroach hemolymph. The fourth and final exercise allows the students to apply the techniques learned in the previous three exercise to a physiological investigation of the effects of starvation (including dehydration) on cockroaches.
The exercise as presented in this chapter assumes students know how to use a spectrophotometer, pipets, and an electronic balance. Background readings on blood volume in insects and on cockroaches are provided in Appendix A. Alternative methods for extracting hemolymph from a cockroach are provided in Appendix B. The first exercise in the series which introduces students to various techniques (as described in the above paragraph) is presented in Appendix C. I can provide you with copies of the third and fourth exercises if you are interested.
Why cockroaches?
Why cockroaches are used in this exercise is addressed in a 2-hour lecture which accompanies the four laboratory exercises described above. In practical terms, cockroaches are cheaper than vertebrates, and since they are neither "furry" nor "cuddly" their use does not (yet) anger the animal-rights enthusiasts. In terms of economics and public health, we need to know everything we can about insects because of their enormous impact on humans as crop pests, carriers of disease, pollinators, etc. But they also have a fascination in their own right. For instance, they represent the only other major group of animals that, with the "higher" vertebrates, have successfully conquered the terrestrial habitat. I introduce the exercises which use the cockroach in this context: comparing insects and vertebrates (specifically mammals) to look for similarities and differences. Insects and mammals have a vastly different evolutionary heritage: evolution has had to work with very different basic body plans to produce two highly successful terrestrial organisms. What can we learn about animal design by looking at a sample system, such as circulation, in the less familiar creature?
First, what is the function of a circulatory system? Here I discuss living cells requiring the constant exchange of materials with their surroundings, and the limited distances over which diffusion is an adequate process. To build a "large" organism, cells must be surrounded by an aqueous fluid which is then stirred around (bulk flow), just like you stir your coffee to distribute the sugar evenly. One can, in this sense, identify two fluid "compartments" within a larger organism: the intracellular fluid (ICF), and the stirred or circulated extracellular fluid (ECF).
Next, I use some "gross" observations that I extract from the students: what are some obvious things about the blood systems of insects and mammals?
Insect
|
Mammal
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The mention of color leads to hemoglobin, and the role of the blood system in the transport of oxygen in mammals. Oxygen is arguably the most "critical" of the transported substances: cut off the blood supply to the brain, and we go unconscious not through lack of glucose, amino acids, hormones, etc., but from lack of oxygen. This is because of the low solubility of molecular oxygen in water; it is potentially the critical rate-limiting substance in cellular respiration. Hemoglobin then increases the amount of oxygen that can be transported. Insects do not have a respiratory pigment such as hemoglobin in their blood; how do they manage without it? After all, they are highly active creatures, just like mammals (large flying moths maintain high body temperatures, and have metabolic rates similar to that of a humming bird). Answer: They supply oxygen via air-filled tubes, the tracheal system. One can use a good analogy here: insect flight muscle is permeated with the tree-like branches of tracheoles, with no part being more than a few tens of micrometers from a tracheole. Mammalian muscle similarly contains vast numbers of capillaries, with no part being more than a similar distance away.
The lack of needing to supply oxygen via its blood "allows" the insect circulatory system to be slow, have low-pressure, and be "low-tech" -- no capillaries, no branching arterial and venous system, and just a simple tubular heart. Blood is not part of the ECF separately circulated under high-pressure and intensely regulated as it is in mammals; it is simply the ECF itself. Given this, the insect can allow its blood (hemolymph) volume to change more than can a mammal.
Insect blood acts as a water storage organ (critical in a small high surface-area-to-volume ratio terrestrial organism). It also acts as a storage organ for metabolites such as amino acids, carbohydrates, and proteins. This gives rise to interesting questions of regulatory physiology that can be approached experimentally: as water is lost in a dehydrating insect, its hemolymph volume declines. This means the osmotic pressure must be adjusted lest water is drawn from the cells, for example, by converting amino acids to proteins, or removing metabolites from the hemolymph.
Most students are understandably nervous about handling the cockroaches, particularly since the best results are from large, healthy, active ones! We make sure the teaching assistants (TAs) have actually done the lab beforehand, and are comfortable picking up rapidly reviving roaches and recapturing escapees; a nervous TA does not inspire confidence.
We get the students to use CO2 anaesthesia for the cockroaches prior to injecting and taking samples. It is important that the roaches not be over-anaesthetized though, or their circulation becomes very intermittent and unreliable, causing poor mixing of dye and hemolymph (one potentially serious source of error). Since CO2 is dense, it can remain at the bottom of the handling jar, prolonging exposure. I tell the students they need only keep the valve of the CO2 cylinder open only long enough to displace the air; in reality, if the valve is closed when the cockroach starts to go into spasms, there will be plenty of CO2. When the cockroach is "out," take the lid off, and blow quickly into the jar, replacing the CO2 with air again.
Not keeping the roach in CO2 is particularly important after injection and between blood samples; it will be returned to its holding jar to recover and keep its circulation going. If the jar is still full of CO2, neither recovery nor circulation will be optimal.
The anesthetic does not last long -- a few minutes at most, so it is important that everything be ready for injection or sampling before the roach is exposed to CO2, and the students are familiar with what to do (one reason for requiring each student to prepare a written protocol before the lab). I suggest that each pair of students do a "dry run" through the injection procedure, pretending they are holding a cockroach, before using the real insect. This way, they should have sorted out who will be where, what angles to hold things at, where the cockroach holding jar will be, and so on.
A good injection will result in a visible spreading of the red dye under the abdominal cuticle, with no leakage at the point of injection (obviously a source of error). The rest of the cockroach will start to become pinky red, particularly where the cuticle is thin or lightly pigmented, after a minute or two. Sometimes, the injected dye may appear to be trapped around the injected region, hardly spreading. The only thing to do in this case is to try again with another insect.
The trickiest part of the exercise is taking blood samples; again, we make sure the TAs have actually done it, and can demonstrate the technique. The blood clots quickly (typically well less than a minute), so everything must be ready when the cuticle is pierced. Holding the micropipet horizontal, or even tilted downward is very important, as is applying its end to the drop as soon as possible after puncturing the membrane. Ideally, the roach should be squeezed as little as possible -- all the blood should not be lost in the first sample -- but this really only comes with practice. Nevertheless, we find most students get enough samples to produce a curve of optical density versus time.
Note that it is not necessary to take samples at exactly 5, 15, and 30 minutes; some students may try to do this, and find they were not quite ready, or it took longer than expected to anesthetize the roach. Since they are plotting a curve, all that is necessary is to record the actual time when the sample was taken.
Typical results we get in cockroaches from our colony, given free access to food and water, are hemolymph volumes ranging from 80 to 250 µl with body weights from 0.8 to 1.2 g, giving relative volumes of 8% to 25%. We ask students at the end of the lab to enter their results for hemolymph volume, together with the sex and weight of their cockroach, into a table of class data. They are then given a copy of the entire class data when the table is complete so they can calculate means, standard deviations for volumes, and compare males and females. This is part of an ongoing effort to get them to use simple statistical methods in analysis of data.
Handling Cockroaches
Twenty-four cockroaches (Periplaneta americana) are transferred from our breeding colony to a large (1 liter) stock jar 24 hours before the laboratory class; both food (dry rat pellets) and water (in a small vial with a cotton plug) are available in the stock jar. This amount is sufficient for two lab groups of 20 students each; students work in pairs. Just prior to the lab, a TA anesthetizes the cockroaches in the stock jar and transfers one roach to each of 10 small (4" diameter) holding jars per class. The holding jars are without food and water. Each pair of students is provided with one roach in a holding jar. Both stock and holding jars have screw tops with several small air holes drilled in them; a center hole should be large enough to allow for the delivery tube from the CO2 cylinder.
Only healthy adult specimens are removed from our breeding colony for use in this exercise. Extraction of hemolymph can be tricky if the cockroaches are dehydrated or unhealthy. Thus, plump, active cockroaches from a well-maintained colony are desirable. We do not select specimens whose wings are torn or tattered.
Sources of Error
Excessive anesthesia will slow or abolish the heart rate. This in turn will slow mixing of the dye and give poor readings (they could be high or low, depending on dye concentration in the sample).
In a good preparation, the three data points for optical density (OD) will lie approximately on an exponentially-declining curve (dye excretion rate may be a function of dye concentration). The extrapolation back to zero time should therefore follow this curve. Often, however, the first point will be noticeably high or low compared to the trend of the later points. This is probably due to poor mixing, either because of poor circulation (see above), or poor injection (the dye sometimes appears to be "trapped" close to the point of injection). In this case, the best that can be done is to extrapolate from the later points (which, since there are only two points, will have to be a linear extrapolation).
A factor which should be discussed is the removal of hemolymph from the cockroach during the 30-minute sampling period. This will of course reduce the hemolymph volume. The error becomes progressively larger as the 5 µl samples are removed. If mixing is incomplete, the OD may apparently increase. Another possible source of error is the distribution of the dye, that is, how long does it take for the dye to be distributed uniformly throughout the hemolymph?
The following materials are required per pair of students:
* The Amaranth Red dye should be made up in Ringer solution so that the injected fluid does not cause osmotic or ionic stress to the cockroach. We have used Ringer throughout as a diluent and as the blank for the spectrophotometer; this was for simplicity and consistency since other related labs needed Ringer. We use a simple Ringer solution since it is only injected in a small quantity. For 1 liter of Ringer, dissolve the following in distilled water: 9.8 g of NaCl, 0.77 g of KCl, 0.66 g of CaCl2.2H20, and 0.18 g of NaHCO3.
Objectives
In this laboratory you will apply the techniques of dilution and measurement of concentrations to investigate a physiological parameter: the hemolymph (or blood) volume of an insect. A parameter is a quantifiable variable of a system you wish to study. Determining values for a parameter such as hemolymph volume allows you to measure the effect of a treatment in an experiment, or to calculate other things. For example, you can determine the absolute amount of a metabolite such as an amino acid if you know both its concentration and the volume of the hemolymph containing it. We have chosen the cockroach because it is readily available and it is large (for an insect!).
Your objectives are:
Outline
Unlike vertebrates, insects (and other arthropods) have an open circulatory system, in which the fluid pumped by the heart freely bathes the tissues rather than being confined to blood vessels. The body cavity of insects which contains the fluid and the internal organs is called the hemocoel (pronounced "heem-o-seal"), and the fluid (the "blood") is called hemolymph. Insect hemolymph is circulated by a heart, which is simply a long muscular dorsal tube. The heart takes in blood from the abdominal hemocoel and empties into the head and thorax. The hemolymph then flows slowly through the tissues back to the abdomen and is recirculated by the heart. Insect hemolymph contains a wide variety of metabolites, including amino acids, proteins, lipids, organic acids, and inorganic ions. It is thus a fluid from which the various organs of the insect body obtain their nutrients. This is the major role of hemolymph -- the transport of nutrients between organs. In addition, the hemolymph functions to store metabolites, to transport waste products to the organs of excretion (the Malpighian tubules), and to transport regulatory hormones from the organs of synthesis to their sites of action. The hemolymph is also well buffered and so provides a stable environment for the tissues in the face of changing external environments. And finally, the hemolymph functions in the protection of the tissues from invading parasites and micro-organisms. The hemolymph can be regarded as a vital organ.
Insects regulate their hemolymph volume by a variety of mechanisms including hormonal and metabolic factors. In an aquatic environment, insects must continuously excrete water to compensate for water uptake, whereas in a hot, dry terrestrial environment the insect must conserve water -- in both these instances, the volume of the hemolymph is regulated to prevent excessive water gain or loss. In any given insect species, the volume of the hemolymph at any particular time during the life cycle will tend to be fairly constant. However, stressing the insect, for example by exposure to very high temperatures or by starvation, will result in changes in the hemolymph volume.
In a number of laboratories around the world biologists are investigating factors which control hemolymph volume, particularly in the light of the discovery that some new insecticides exert their toxic effects by causing excessive loss of water from the insect. How is hemolymph volume measured? One common method is to measure how much the hemolymph dilutes a known quantity of a substance. In this laboratory, you will use a dye called Amaranth Red. This dye is not toxic to the insect, and it does not penetrate the cells, two conditions necessary for the method (why?). However, the method is limited by the fact that the insect excretes the dye, and so it is necessary to estimate blood volume at several times after injection and extrapolate the dilution to zero time.
Part 1: Deriving a Standard Curve
To find the cockroach's hemolymph volume, you will be injecting a small quantity (10 µl) of concentrated dye and finding how much this dye is diluted. You will use a spectrophotometer to find the dye concentration in the cockroach. A spectrophotometer works because dyes and other chemical absorb light of characteristic wavelengths, and the amount of absorption depends on the concentration of the chemical. Knowing the original concentration and the final concentration you could calculate what volume (the hemolymph volume) would have been necessary to dilute the dye that much. An easier way, and one which has other advantages (what are these?), is to inject the same amount of dye into known volumes of fluid, then measure absorption for each of these, using the same procedure you will use on the cockroach. If you choose a range of volumes extending from below to above the probable values for hemolymph volume, you can produce a standard curve for optical density of solution on which you can read hemolymph volume directly. One advantage of this is that any errors in the procedure with the cockroach are likely to be similar to those for determining the standard curve, and they should therefore cancel each other out.
Part 2: Injection of Cockroach
Figure 8.1. Injecting dye into a cockroach.
When the needle is in place, slowly inject the 10 µl; the injection should be done smoothly over about 5 seconds. Read the dye meniscus, not the plunger end, for volume determination.
Figure 8.2. Injecting dye between the last two abdominal sternites in a male and female cockroach.
Part 3: Taking Hemolymph Samples
Part 4: Determination of Hemolymph Volume
Part 5: Alternate Method for Determining Hemolymph Volume
If standard curves for OD versus concentration of Amaranth Red have been determined in a previous lab, then you can estimate hemolymph volume by determining how much the injected dye is diluted. To do so, omit Part 1 above and proceed with parts 2 to 4, but omit part 4, step 3. Then do the following:
Note that the first term is a ratio (the dilution factor) and so any units could be used as long as they are the same for dividend and divisor.
Many people have contributed to this exercise and the other exercises in the series. The exercises were first conceived of and written by Stephen S. Tobe. I also thank, in particular, Anne L. Cordon and Corey A. Goldman for valuable modifications and improvements in both procedures and the written text.
The following articles pertain to blood and its volume in cockroaches. See also Rockstein's Physiology of the Insecta, Wigglesworth's Principles of Insect Physiology, or other animal and comparative physiology texts.
The following are more general texts on cockroaches:
If absolutely no hemolymph can be extracted from the base of the legs there are alternative methods. You must remember that these may be fatal, and thus used only as a last resort. Therefore, if necessary, use only for the 30-minute sample. Remember, you want to extract hemolymph (reddish fluid); do not pipet unrecognizable substances. Consult your TA (for permission) if one of these techniques is to be used.
Many of our students have had little or no experience in pipetting, making solutions, etc., let alone in using a spectrophotometer. So we have usually preceded the hemolymph lab with a lab giving them a chance to practice these basic techniques, as well as learn how to use a spectrophotometer. Doing this lab beforehand enables them to complete the hemolymph lab much more easily in the allotted 3 hours. What follows is the essence of this lab. Not included are details of the spectrophotometer, which will depend on the instrument available.
Objectives
Any physiological experiment depends on your ability to make and dispense solutions accurately. In this lab you will (1) learn how to measure volumes and weights accurately using pipets and balances. Then with only a simple balance and a pipet you will (2) learn how to make a wide range of dilutions. Finally, you will (3) learn to use a spectrophotometer to measure the concentration of solutions.
Your objective in this laboratory will be to master these techniques in order to:
Part 1: Pipets and Pipetting
A pipet is a slender tube of glass or polypropylene used for transferring or measuring small quantities of liquids. The following information on pipets is taken in part from the Canlab Laboratory Equipment catalogue (1981:730).
The true measure of a pipet is defined in specifications established by The National Bureau of Standards and various other agencies. In order to meet these standards, certain criteria must be followed in the calibrating process. (1) The calibrating temperature of a pipet is 20C. However, should pipets be used at other temperatures, variations are usually so slight as to be negligible. (2) The minimum and maximum delivery times have been established for the various sizes and types of pipets. The size of the pipet tip regulates the rate of outflow; any alteration of delivery time may affect pipetting accuracy. (3) To meet government standards pipets must be calibrated with either distilled water or mercury. "To deliver" pipets are always calibrated with distilled water. "To contain" pipets are always calibrated with mercury.
To Contain (TC): Pipets designated as "to contain" are calibrated by introducing into them the exact weight of mercury required to give the required volume. Mercury does not wet glass. Pipets calibrated with mercury will contain, but not deliver, the stated volume of aqueous fluid (a film of water will always cling to the wall of the pipet). "To contain" pipets must not be blown out (except capillary micropipets). The letters "TC" are designated below the mouthpiece.
To Deliver (TD): "To deliver" pipets are calibrated by weighing the volume of distilled water that will flow from them by gravity, with the tip against the side of the receiving vessel. A small amount of liquid always remains in the tip and must not be blown out. The letters TD are designated below the mouthpiece.
To Deliver with Blow Out: Calibration of "to deliver with blow out" pipets is similar to that used for "to deliver" pipets, except that the drop remaining in the tip after delivery is blow into the receiving vessel. The letters "TD" are designated below the mouthpiece and above this a single or double etched frosted band identifies a "to deliver with blow out" pipet.
In this laboratory series you may be using three kinds of pipets: (1) volumetric (transfer), (2) measuring pipets, and (3) micropipets. Most pipets are color-coded to indicated capacity.
Volumetric pipets have a bulb midway between the mouthpiece and the tip. The bulb decreases the surface area per unit volume and diminishes the possible error resulting from water film. You should use volumetric pipets when you need a high degree. They are generally calibrated "to deliver" a specific volume. Volumetric and transfer pipets are the same.
Measuring pipets are made from straight bore tubing, have multiple graduations, and are calibrated with water. We will use both "to deliver" and "to deliver with blow out" types. Measuring pipets are guaranteed accurate only at the maximum calibration mark (accuracy depends on the uniformity of the pipet bore) and are used when a high degree of accuracy is not essential.
Micropipets (also called microcapillary pipets) have a capacity of 1 ml or less. They are of the "to contain" type and fill by capillary action. Micropipets are calibrated to dispense their entire volume and are usually used for adding a known volume of one liquid to another liquid. They will not empty by gravity, and so it is necessary to empty them either by blowing out or by using a plastic mouthpiece adapter. After expelling the contents, you should rinse the micropipet two or three times with the resulting aqueous solution to make sure all contents are mixed with the solution. Use a consistent number of rinsings for maximum reproducibility. Micropipets are color-coded to indicate their dispensing capacity; for example, green, 50 µl; white, 5 µl graduated (15 µl) micropipet. In these labs we will use disposable micropipets. When you finish using them, discard them in the waste receptacle provided for disposable glass.
Part 2: How to Pipet
You should never pipet by mouth. A pipet manipulator should be used. This is usually a rubber bulb into which the pipet is inserted and which has valves for suction and evacuation.
Part 3: Errors in Pipetting and Weighing (Work in pairs)
Question: Is there a difference in the accuracy and precision in the different types of pipets? In what way do these differences affect your choice of pipets?
Design an experiment to see how the three basic types of pipets compare in their ability to transfer the correct/true amount (accuracy) and their reliability to transfer the same amount each time (precision). Think about your design before the lab; working with your partner, refine your plan in the lab. The precision (reproducibility) of an instrument is often more important than its accuracy, since the actual performance can be calibrated against a standard.
You will be provided with the following materials: 10 ml "to deliver", 10 ml "to deliver with blowout", and 10 ml volumetric pipets; electronic balance for weighing; beakers; and water.
Write out your experimental design in your lab notebook and consult with your teaching assistant before proceeding. Hint: 1 ml of water weighs 1 g at standard temperature and pressure (20C and 1 atmosphere).
Question: How much of your observed pipetting error could be the result of errors in weighing?
Design and carry out a simple experiment to test for this. You will be provided with the following materials: electronic balance (same as above); beaker.
Part 4: Dilution Series Single Dilution Technique
You will be provided with a solution of Amaranth Red dye. The concentration is stated on the label. Amaranth Red is a dye commonly used in food coloring (it is also known as Red Dye No. 2). Many products contain this dye which you would not think contain food coloring; for example, Amaranth Red has been used to give sugar its remarkably white appearance. (Note: Amaranth Red is now suspected of being carcinogenic if ingested and its use in the food industry has been severely limited. Handle it with care). You are going to prepare a series of eight solutions containing the stock Amaranth Red solution at different concentrations as shown below. You will be diluting with Ringer solution a solution of salts which is similar to body fluids and designed to keep tissues functioning in physiological preparations.
| Solution | Dilution | Procedure |
| 1 | 1:5 | 1 part Amaranth stock to 4 parts Ringer |
| 2 | 1:10 | 1 part Amaranth stock to 9 parts Ringer |
| 3 | 1:20 | 1 part Amaranth stock to 19 parts Ringer |
| 4 | 1:30 | 1 part Amaranth stock to 29 parts Ringer |
| 5 | 1:40 | 1 part Amaranth stock to 39 parts Ringer |
| 6 | 1:50 | 1 part Amaranth stock to 49 parts Ringer |
| 7 | 1:100 | 1 part Amaranth stock to 99 parts Ringer |
| 8 | 1:500 | 1 part Amaranth stock to 499 parts Ringer |
The term in the second column above, refers to the concentration of the final solution, expressed on the basis of the volume of the "stock" solution in a total final volume. Thus, a 1:5 solution contains one volume of a given solution in a total of 5 volumes of liquid. Notice that to end up with 5 volumes of the diluted solution, you take 1 volume of the stock and add 4 (not 5!) volumes of the diluent. Think of it this way: in a 1:5 (usually said as "one in five") solution, in every 5 parts there is one part of the original stock solution, and the rest is the diluent.
Notice also that 1:5 is a ratio; thus it is the same as a 2:10 or a 5:25 solution. This is useful if you are making up an arbitrary quantity of final solution. For example, to make 25 ml of a 1:5 solution, you would take 5 ml of stock, and 25 5 = 20 ml of diluent.
In general then, the concentration term x:y refers to a solution which contains a volume x of a stock solution in a total volume of y; in terms of stock and diluent, the solution contains x volumes of stock and y x volumes of diluent.
Whenever you make a dilution series keep in mind the following factors:
To make up the solutions above, you would need a table such as the one given below. You should complete the partial columns to check your understanding. Note that we have included an extra column to list the concentration of each solution in terms of weight of substance per volume of solution; you often need to know the quantity of solute present in addition to the volume of stock solution.
Calculate the final concentration in micrograms per milliliter, given that the stock solution of Amaranth Red dye is 0.01% w/v; this is equivalent to 0.01 g in 100 ml, or 10 mg in 100 ml, which is the same as 0.1 mg in 1 ml, or 100 µg in 1 ml.
| Tube | Concentration (vol/vol) |
Amaranth stock |
Ringer (ml) |
Total (ml) |
Concentration* (µg ml1) |
| 1 | 1:5 | 1.0 ml | 4.0 | 5 | |
| 2 | 1:10 | 0.5 ml | 5 | ||
| 3 | 1:20 | 7.6 | 8 | ||
| 4 | 1:30 | 0.2 ml | 5.8 | ||
| 5 | 1:40 | 0.2 ml | 8 | ||
| 6 | 1:50 | 0.1 ml | 5 | ||
| 7 | 1:100 | 50.0 µl | 5.0 | 5 | |
| 8 | 1:500 | 10.0 µl | 5.0 | 5 |
* Calculated as weight/volume; stock = 0.01% or 100 µg ml1.
Now make up the solutions as follows:
Part 5: Establishing a Standard Curve
You are now ready to read your solutions in the spectrophotometer to establish a "standard curve" which will relate optical density (OD) to concentration. Given this curve, you could then determine the OD for an unknown solution, and determine its concentration from the graph.
Part 6: Determine the Concentrations of Unknown Solutions
Determine the concentrations of the unknown solutions of Amaranth Red (provided by your TA) by reading the OD of the solutions in the spectrophotometer and then reading the final concentration from your standard curve. Hint: Some of the concentrations will require diluting before you are able to read them!
Part 7: Dilution Series Serial Dilution Technique
The "single dilution technique" is called single because it uses the original stock solution for each dilution. For example, to make a 1:100 dilution, you added 1 part of the stock solution of dye to 99 parts of Ringer solution. However, dilutions may also be prepared by serial dilution. To make a 1:00 solution by serial dilution you can make two 1:10 dilutions:
| Solution | Concentration | Parts dye | Parts Ringer | Total parts |
| A | 1:10 | 1 of stock | 9 | 10 |
| B | 1:100 | 1 of A | 9 | 10 |
Notice that you use Solution A to make Solution B. You only use the original stock solution to make the first dilution. If you wanted to make a 1:1000 dilution, you could make three serial 1:10 dilutions.
| Solution | Concentration | Parts dye | Parts Ringer | Total parts |
| A | 1:10 | 1 of stock | 9 | 10 |
| B | 1:100 | 1 of A | 9 | 10 |
| C | 1:1000 | 1 of B | 9 | 10 |
A 1:500 dilution could be achieved in several ways (the possibilities are many!). Two examples are as follows:
| Dilution | Solution | Parts dye | Parts Ringer | Total parts |
| 1:10 1:100 1:500 |
A B C |
1 of stock 1 of A 1 of B |
9 9 4 |
10 10 5 |
| 1:5 1:500 |
A B |
1 of stock 1 of A |
4 99 |
5 100 |
From these examples, we can write a general "formula" for calculating the proportions or "parts" of both the stock and diluent needed to prepare any dilution:
Given a solution of concentration 1:x and knowing the desired concentration is 1:y, you would mix x parts of the given solution with y x parts of diluent to give you y parts of the desired solution.
For example, given a solution of 1:20 and you want a solution of 1:50, you would mix 20 parts of the given solution with 50 20 = 30 parts of diluent, to give 50 parts of the desired solution. Notice once again that these are ratios, and can also be thought of as 2 parts plus 3 parts to give 5 parts. Reducing the terms to the smallest integers makes it easier to calculate volumes. Suppose you really wanted 20 ml of final solution, you would then simply divide the desired volume by the final number of parts, and multiply the constituent parts by this ratio. In this example, 20 ÷ 5 = 4, and 4 × 2 = 8 and 4 × 3 = 12. So you take 8 ml of the given solution and add 12 ml of diluent to give you 20 ml of your desired solution.
Note that the concentration of the final solution is the product of the dilution and the original concentration. In the above example, the original concentration was 1:20. Making a dilution of 20:50 gives a final concentration of 1:20 × 20:50 = 20:1000, or 1:50. It works the same for diluting 8:20; try calculating it!
Dilution Series of Amaranth Red Dye
You are able to make a dilution series of Amaranth Red dye for a standard curve using a serial dilution as well as the single dilution. The table below outlines the protocol for setting up this dilution series. The ratio of "stock" to diluent has been worked out for you.
Complete the table below. Calculate the actual volume (in milliliters) that you will need of dye solution (either from the stock or from the previous solution) and Ringer for each solution. Remember that the final volume in each test tube must be at least 5 ml to read the sample in the spectrophotometer. Remember also that the maximum capacity of the test tube is 20 ml. Also note that some of the final volume is removed to make the next solution. Hint: When you are calculating the volumes, start from the end of the table and work backwards -- this way you can make certain that you start with enough of Solution 1. The volumes of the last two solutions have already been calculated for you. Calculate the final concentration of Amaranth Red dye in each solution, in µg per ml.
| Solution | Dilution | Parts A | Parts Ringer | Volume A (ml) |
Volume Ringer (ml) |
Total volume (ml) |
Volume remaining (ml) |
Final conc. (µg ml-1) |
| 1 | 1:5 | 1 of stock | 4 | |||||
| 2 | 1:10 | 5 of soln 1 or 1 of soln 1 |
5 1 |
|||||
| 3 | 1:20 | 1 of soln 2 | 1 | |||||
| 4 | 1:30 | 2 of soln 3 | 1 | |||||
| 5 | 1:40 | 3 of soln 4 | 1 | |||||
| 6 | 1:50 | 4 of soln 5 | 1 | |||||
| 7 | 1:100 | 1 of soln 6 | 1 | 3 | 3 | 6 | 5* | |
| 8 | 1:500 | 1 of soln 7 | 4 | 1 | 4 | 4 | 5 | |
* Total volume of 6 minus 1 ml removed for Solution 8.
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