a. Did variation exist in the bacterial population? YES
(both sensitive and resistant strains were present in the patient)
b. Was the variation heritable? YES
(Rifampin's mode of action is to bind specificallyi to RNA polymerase
of M.
tuberculosis, interfering with transcription of all genes. The RNA
polymerase produced by a single point mutation in the RNA polymerase gene
(rpoB)
changed ONE amino acid of the enzyme (leucine--coded by TCG)
to another
(serine--coded by TTG). This rendered the RNA polymerase unrecognizable to the rifampin.
The mutation was heritable; all progeny of the mutant, resistant strain
had the same point mutation.
c. Did natural selection occur? YES.
(M. tuberculosis with the point mutation left more offspring than those
that lacked the mutation.)
d. Did a non-random subset of the original population remain after
selection? YES
The populations before and after rifampin administration were significantly
different, with resistant bacteria replacing rifampin-sensitive
individuals.
Another Example:
A classic example of homology is seen in the skeletal components of vertebrates...

In contrast, a structure that serves the same function in two taxa, but is NOT derived from a common ancestral structure is said to be analogous. Examples of analogous structures:
Note that these are comparative terms. You can't call something "primitive" or "derived" without comparing it to something else. In other words, when you invoke the "primitive" or "derived" state of a particular character, you are examining homology between two or more species derived from a common ancestor.
Systematists often use the existence of homologous, shared characters among taxa to help reveal their common ancestry.
In determining increasing recency of common descent, the systematist finds that symplesiomorphies are generally not informative, though synapomorphies are. Why? Let's do an example with our own species and some of our closest vertebrate relatives....
(See what you missed if you didn't come to class?)
Stephen Jay Gould first coined the term exaptation: The pre-existence of a character-- initially with no known adaptive significance--that under changed selective pressures "suddenly" conferred a selective advantage to those individuals exhibiting it.
But beware the danger of slipping into the "Just So Story".
Differences in ontogeny among taxa are not trivial. They reflect the evolutionary relationships of those taxa, and the modified development that resulted in one species becoming two. Some have suggested that developmental innovations alone may have provided the evolutionary mechanisms by which entire new lineages originated.
Consider members of the Phylum Chordata. All members share these primitive traits (which are derived with respect to all other Phyla) at some point in their development:

In the somewhat more derived chordates (Phylum Urochordata), the notochord is seen in the larval form, but lost in the adult:


Only by studying the embryological development of vertebrates can one can find this shared chordate character, where it is present in all three taxa. This is one of the most accurate ways to determine whether a structure appearing similar in adult organisms is homologous or analogous. If it is present in the embryo of all taxa being considered, it is most likely a homology.
Ontogenetic changes in a developing organism, whether due to mutations or to other heritable changes in the DNA, ultimately are reflected in the adult organism.
Example:
The answer--no surprise--is NO.
If one monitors the embryonic development of a vertebrate and an insect, one sees that divergence in ontogeny occurs VERY early--even before the gastrula stage. (First, a very brief overview of early embryo anatomy...

This is an enormous difference, and the fate of the blastopore is one of the most powerful characters one can use to divide animals into the two major lineages above (Protostomia and Deuterostomia).
(Though let's consider an interesting side note on homeotic genes)
Closely related organisms pass through similar embryonic stages. The earlier the divergence of embryonic fates occurs between two taxa, the more distant their most recent common ancestor.
As development proceeds, the ontogeny of each taxon diverges from the "ancestral model," developing specializations that make it different from related taxa.
In 1866, Ernst Haeckle (German physician turned zoologist) proposed the Law of Recapitulation (a.k.a. the "Biogenetic Law"). He stated that "ontogeny recapitulates phylogeny." He meant that an organism's embryonic development mirrored the sequence of adult forms from which it was evolutionarily derived. (For example, this would mean that because Homo sapiens passes through embryonic stages resembling a free-swimming larva known in some fish and amphibians, that humans had an ancestor that was like that swimming larval form as an adult.)

Thus, Haeckle was suggesting that animals undergo embryogenesis because of their evolutionary history.
(For example, all crustaceans pass through a larval nauplius stage, and all molluscs pass through a larval veliger stage.)
(For example, all annelids (segmented worms, such as earthworms) and molluscs (I hope you know what these are!) pass through a larval trochophore stage; the mollusc later develops into the more complex veliger.)
In 1940, Libby Hyman (one of the most eminent zoologists specializing in invertebrates) wrote :
Heterochrony (from the Greek hetero meaning "other" and chronos meaning "time") describes a change in the timing of ontogenetic events between two taxa. These, of course, can be the result of relatively small genetic changes that may not even be alterations in DNA sequence, but in the timing of particular genes being turned "on" and "off" during development via methylation of bases and other factors.
Many animals undergo isometric growth as they mature from new hatchling to adult. This means that all the body parts grow at approximately the same rate, and the adult proportions are not significantly different from those of the juvenile. For example, see our pal Batrachoseps, one of the few salamanders that has a terrestrial (not a gilled, aquatic) larva:

A heterochronic change can result from a mutation that causes the rate of one cell line of the body to develop at a rate different from that of other cell lines in the body. This can result in allometric growth.
In a species that exhibits allometric growth (from the Greek allo meaning "different" and metr meaning "measure", different cell lines/body parts grow at different rates (relative to an ancestral, isometrically growing form) during development from juvenile to adult.

Hold that thought.
In animals, the body becomes reproductively mature at a very specific stage of somatic (body) development. In some species, a heterochronic mutation can cause the organism to become reproductive relatively sooner than an ancestral species. This can happen in one of two ways:
progenesis: Somatic development proceeds at the same rate as in an ancestral species, but germ line cell development is accelerated as compared to the rate in that same ancestor. neoteny: Germ line cell development proceeds at the same rate as in an ancestral species, but somatic cell development is retarded as compared to the rate in that same ancestor.
Here's an analogy that might help you visualize this. The end result is the same in either case.
In either case, the resulting condition is known as paedomorphy: a reproductive adult that has the juvenile form of the ancestral species. Just looking at an animal that exhibits paedomorphy won't tell you whether it's due to progenesis or neoteny. You must compare the species' development to that of the ancestral (or closely related) species, if possible. Remember that "paedomorphic" is a relative term, too. You must be comparing the species to something else in order to consider it paedomorphic with respect to that something else.
Examples of paedomorphic organisms we know and love:
1. The Common Mudpuppy (Necturus maculosus) is a salamander which retains its juvenile gills as an adult
Most salamander species have aquatic larvae that lose their external gills when they reach adulthood:
Juvenile Ambystoma mabeei:


The mudpuppy is paedomorphic with respect to other salamander species: It retains its external gills as a reproductive adult due to either neoteny or progenesis:

2. Many domestic dog breeds (Canis lupus familiaris), which are derived from wolves (Canis lupus)

3. Homo sapiens, whose prolonged brain development period and relatively flat face may be reflections of a prolonged juvenile period, relative to that of our closest relative, the chimpanzees (Pan paniscus and P. troglodytes)

Remember:
But paedomorphy is not the only possible result of heterochrony. Other phenotypic differences between closely related species also can be a result of differences in developmental timing.
New technologies allow us to see that related taxa share similar DNA and RNA base sequences, often due to shared ancestry.
Molecular homologies also can be seen at the level of the finished protein product encoded by the DNA, as shown in this comparison of amino acid sequence in hemoglobin (the protein in your red blood cells that carries the oxygen) of different species...

The study of molecular homology is the Evolutionary Biology of the Future.
And the future is now.
Stay tuned.