New PDF release: Clinical Laboratory Mathematics
By Mark Ball
This available textual content brings jointly mathematical innovations that might be fundamental to each pupil, instructor, practitioner, and consumer of chemistry- or biology-related laboratory paintings. Responding to the worries of either teachers and scholars, CLINICAL LABORATORY MATHEMATICS starts off with a evaluation of mathematics and algebra. subsequent, it provides example-rich chapters on exponential notation and logarithms, rounding and determine importance, dimension structures, ideas and concentrations, dilutions, proportionality, graphs, charges of swap, facts, chemistry, quality controls, and technique overview. It solutions commonly asked questions, identifies universal misunderstandings, and provides an not obligatory complex part on-line. all through, the writer explains why an excellent figuring out of math is necessary in trendy high-technology medical laboratories. perform difficulties are strategically designed to offer real-world situations with either context and outcome. assisting either self-guided research and conventional lecture-discussion, the textual content is logically equipped and liberally cross-referenced, revealing hidden connections and customary motifs.
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Extra resources for Clinical Laboratory Mathematics
For this experiment, how much water should you mix with 500 mL of methanol? Appendix Mind Over Calculator: A Few Tips for Calculating Without Electronics In the clinical laboratory, as in all of science and technology, it is not only possible, but also easy, to depend too much on calculators. The laboratorian must be poised to (1) catch his or her own errors, as well as those of colleagues, supervisors, trainees, nurses, physicians, and anyone else who does something that results in a calculation; (2) estimate numbers in order to follow technical papers or presentations and to save time and money in the laboratory; and (3) notice anomalies in test results in order to detect instrument malfunctions or procedural mistakes.
Thus, the growth of your E. coli is exponential: one cell becomes 2 cells, 2 become 4, 4 become 8, 8 become 16, and so on. Needless to say, therefore, the equation describing this growth involves an exponent: 2n = number of cells after n doublings Consequently, after 2 hours, six doublings have occurred, giving 26, or 64, bacterial cells in each milliliter of your culture. After 4 hours, there have been 12 doublings, generating 212, or 4096, cells per mL. And after only 8 hours, there would theoretically be 224, or 16,777,216, cells in every milliliter of the culture (“theoretically” because in reality nutrient depletion and other factors would prevent the culture from becoming this dense).
For example, going from 2 to 1 on the y-axis corresponds to a change on the x-axis from 100 to 10, a 10-fold decrease. 1 units from an adjacent mark. This scale on the y-axis is called an arithmetic scale (pronounced “arith-MET-ik”) because equal distances between tick marks represent equal amounts. The distance between any two adjacent tick marks is the same as the distance between any other two adjacent tick marks. There is yet another alternative to the plot in Figure 2-1. As Figure 2-2B shows, we can plot the seven chosen numbers themselves along the y-axis but on a logarithmic scale.