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Mendelian Genetics
Today, the tale of Gregor Mendel, the Austrian abbott who is remembered as
the "Father of Modern Genetics" for his publications (1866) about inheritance in
pea plants ( Pisum sativum).
Long after Mendel published his findings on the nature of inheritance in Pea
plants, three different researchers:
Carl Correns (Germany)
Erich von Tschermak (Austria)
Hugo De Vries (Holland)
...rediscovered Mendel's work in the early 1900's, and so the world became
aware of his work.
Mendel worked on DISCONTINUOUS CHARACTERS.
("either/or" traits, such as red vs. white
flowers; wrinkled vs. smooth peas, etc.)
Until his work, much study had been devoted to CONTINUOUS
CHARACTERS (e.g., size, stature, brain volume etc.) which are
far more difficult to characterize genetically, as they are usually
controlled by more than one gene locus (i.e., they are polygenic).
Let us review some of Mendel's most famous experiments...
Red flowering crossed with white flowering pea plants
(A story about true-breeding and hybridization!)
From these experiments and several others in Which Mendel studied other
traits (e.g., round versus smooth pea pods, smooth versus wrinkled peas,
yellow versus green peas, etc.), Mendel was able to put forth two Laws
regarding the units of inheritance we now call GENES.
Law of Segregation - The two forms of a gene (now known as alleles)
present in each organism separate into different cells during gamete
formation.
Law of Independent Assortment - The (two) alleles of the many different
genes present in any given (diploid) organism separate from one another in
a random fashion.
A few important definitions that you should know from now on:
- PHENOTYPE: the physical appearance/expression of a given trait in an
organism
- GENOTYPE: the genetic coding of a particular trait in an organism.
- DOMINANT ALLELE: one which masks the expression
of another at the same locus
- RECESSIVE ALLELE: one whose expression is masked
by another at the same locus.
- a DIPLOID organism (or cell) has two complete sets of chromosomes (one from
each parent)
- a HAPLOID organism (or cell) has only ONE set of chromosomes
- HOMOZYGOUS: the two alleles of a gene at a particular locus are the
same.
- HETEROZYGOUS: the two alleles of a gene at a particular locus are
different.
- A "pure line" or "pure strain" of an experimental organism is one
which will always BREED TRUE for a particular trait when self-fertilized
or interbred among themselves.
- A TRUE-BREEDING organism, in other words will always produce a known
phenotype for a particular trait in question. It is HOMOZYGOUS for that
particular trait.
- AUTOSOMAL TRAIT: one which is located on one of the non-sex
chromosomes (in species with sex chromosomes)
- SEX-LINKED TRAIT: one which is located on one of the sex chromosomes
(in mammals, for example, on either the X (female) or Y (male)
chromosome.
SEX CHROMOSOMES
Once again, a few important definitions:
ISOGAMETIC SPECIES - gametes are not physically distinguishable, but are
chemically complementary. In such species, the opposite mating types are
usually designated as "+" and "-".
HETEROGAMETIC SPECIES - gametes are physically different. By
definition,
the female produces large, sedentary ovum; male produces small, motile
sperm.
Most species have a defined number of HOMOMORPHIC (same shape) autosomes.
In some species, these may influence gender morphology & development.
Usually, however, sex is determined by one (or more) pair(s) of
HETEROMORPHIC sex chromosomes.
In mammals, including humans, these are the X and Y chromosomes you've
already seen.
NOTE THAT...
In species other than Homo sapiens, factors besides a pair of sex c'somes may determine sex, or
contribute to sex determination:
- ploidy (e.g. honeybee females are 2n, drones are n)
- alternate alleles (e.g. some fruit flies)
- environmental factors (e.g., incubation temperature of some reptile eggs,
such as turtles and even the dinosaurs)
- proportion of X-linked genes (female determining) to autosomal genes
(male determining), as in the Mighty Fruit Fly,Drosophila
If sex is determined by heteromorphic sex c'somes, there are four ways it
can work:
- XY system: XX - female; XY - male (mammals)
- ZW system: ZW - female; ZZ - male (birds; lepidopterans)
- Xo system: Xo - male; XX - female (lack of male c'some)
(many insects have this system)
- X & Y c'somes occur in ratios which determine sex.
How does being located on a sex chromosome affect inheritance and
expression of a gene?
Let's look at animals with heteromorphic sex chromosomes...(let's consider mammals)
What if a particular allele is located on the X chromosome? In this case,
the homolog is the Y, and it has relatively few
loci compared to the X.
The X and Y have homologous regions (i.e., with matching gene loci) which pair up during meiosis
(synapsis) and undergo limited crossing over. These regions of
homology are called PSEUDOAUTOSOMAL regions.
Most of the X and Y are not homologous, however, and undergo no crossing
over. Traits located on the DIFFERENTIAL regions of the X and Y exhibit
inheritance patterns that are quite different from those shown by
autosomal genes, and may be
X-linked (located on the differential region of the X c'some)
Y-linked (located on the differential region of the Y c'some).
Y-linked traits, which exist only in males, are known as HOLANDRIC
traits. Females never express them unless a very odd translocation has
occured.
Because males have only one allele for all genes located on the X chromosome,
they are said to be HEMIZYGOUS for those X-linked traits.
The X chromosome has a relatively large number of functional genes, whereas
the Y is believed to have relatively few. A human can survive with a
sex chromosome genotype of Xo, but not with Yo, since many vital genes are
located on the X.
Let's do a Punnett Square and consider a trait carried on the X chromosome
(and when I say this, you may assume from this point that I'm talking about
the differential region of the X, which is most of it) in humans.
- Wild type = regular color vision (trichromatic) - C
- Mutant = red/green color blindness (dichromatic) - c
Because these are carried on the X, DON'T FORGET TO USE THE CHROMOSOMES
THEMSELVES IN THE PUNNETT SQUARE. Like so...(those of you who missed
lecture will have to figure this out on your own. boo hoo.)
Also note...
A CROSS is a controlled mating between two specific organisms,
usually to obtain progeny of particular genotypes and phenotypes.
A HYBRID is an organism produced by a cross of two parents
phenotypically dissimilar, usually for a particular trait of
interest.
- A MONOHYBRID cross is one in which only ONE hybrid trait is considered.
- A DIHYBRID cross is one in which TWO hybrid traits are considered.
- TRIHYBRID, TETRAHYBRID, etc. are all crosses in which three, four,
etc. number of hybrid traits are monitored in a given cross between two
hybrid organisms with two different alleles for each trait in question.
Mendel named the various generations in any given experimental cross:
- P - Parental generation (the starting pair)
- F1 - First Filial generation = offspring of the P generation
- F2 - Second Filial generation = offspring of two F1 individuals
A BACK CROSS is a mating between a given individual and its parent.
A TEST CROSS is a mating between an individual expressing the
dominant phenotype (for a given trait) with an individual who is
homozygous recessive for that same trait.
- For example, let's say you have a red-flowering pea plant.
- You know that red is dominant (W) and white is recessive (w) so the
genotype could be either WW or Ww.
- To find out what the genotype of the red-flowering plant is, you
cross it with a white-flowering plant.
- The resulting phenotypic ratios of the offspring of this test
cross should tell you the likely genotype of the red parent.
A RECIPROCAL CROSS is a mating of two phenotypic classes
while controlling for the sex of the parent. For example:
- red male pea plant x white female pea plant
- white male pea plant x red female pea plant
Most organisms are diploid. Crosses between diploid
parents require a bit of calculation in order to predict phenotypic and
genotypic ratios in a given COHORT of offspring.
Let us learn the wonders of the Punnett Square, a simple matrix.
We'll use the handy and adorable GERBIL as our study organism.
In our imaginary study, we're monitoring the inheritance of three traits
related to coat color in gerbils:
- hair color: agouti (B) vs. black (b)
- color pattern: solid (P) vs. piebald (p)
- modifier: wild type (M) vs. modified (m) (affects melanin deposition)
And so...
Now we must be sure we understand Mendel's Law of Independent Assortment!
Possible gametes for each trait that either parent can produce:
- Hair color: B or b
- Color pattern: P or p
- Modifier: M or m
Remember that each sperm or egg a gerbil produces will have ONE allele for
each of these genes. Let's do a couple of monohybrid crosses to warm up.
(See what happens if you don't come to class? You don't get to do the
exercises. Naughty!)
Wasn't that easy? Yes!
It gets complicated only when you start considering more than one
trait at at time.
Let's do a dihybrid cross and consider both hair color *and* color pattern
expected in such a cross. The parents we're breeding are hybrid for both
traits, and each parent has the genotype:
BbPp
If we are to mate two individuals with this genotype, we represent this
cross as:
BbPp x BbPp
Possible gametes either parent should be able to produce: BP, Bp, bP,
bp
[NOTE: We are making the BIG assumption here that the genes we are
studying are not located on the same chromosome, which
would definitely cloud the picture. We'll return to that in a later
lecture.]
Let's do the Punnett Square. From it, you can see that in this typical
dihybrid cross, you expect to obtain proportions of
9:3:3:1
meaning...
9 agouti: 3 black: 3 agouti piebald: 1 black piebald babies in the litter.
You can figure out the expected phenotypic ratios even for a
trihybrid
cross
(BbPpMm x BbPpMm).
What are the possible gamete types either trihybrid parent could produce?
What are the expected phenotypic ratios? (You fill in the Punnett square)
Once you start considering more than two or three traits at a time, it
becomes incredibly complicated to keep track of what you're doing.
Fortunately, a few simple formulas will help you figure out what to expect
from a cross of any number of traits in offspring of a multi-hybrid
cross, if n equals the number of traits/genes in question.
|
Number of F1 gamete types |
2n |
|
Proportion of F2 homozygous recessives |
1/(2n)2 |
|
Number of different F2 phenotypes (complete dominance) |
2n |
|
Number of different F2 genotypes (or phenotypes, if no dominance) |
3n |
We now know that the genetic "factors" (that we now call "genes") are
located on the structures inside the nucleus of the eukaryotic cell, the
chromosomes.And you've already had a hint
that they can be organized to show their genetic relationships,
as shown here.
We'll return to more detailed study of the chromosomes later. For now, just be aware of their existence and
very general appearance.
Pedigree Analysis: Tracing Traits through Family Trees
Modes of inheritance are easy to determine in small,
fast-generation organisms. In humans, it's a lot more difficult. We have
long gestation periods, relatively few offspring, and we don't like being
subjected to controlled matings. For these and other reasons, most early work
on the inheritance of human traits was done
via PEDIGREE ANALYSIS.
COHORT: all offspring born at a particular time
With data from many generations of humans, one can
construct a pedigree chart. This one
happens to show the inheritance in one family of a particular rare,
recessive allele. Let's trace its appearance throughout the family.
Note that the pedigree chart is a sort of family tree, with specific symbols used as shorthand.
The geneticist works backwards, calculating Mendelian
ratios for each group of siblings, and makes a "best guess" about
the genotypes of the parents. The more data available, the more
accurate the "guess".
In general, one would expect to see the following trends in pedigrees:
AUTOSOMAL DOMINANT TRAIT:
- does not skip generations (unless this is a trait
with low penetrance, which we'll discuss for the *next* exam)
- no difference in expression between genders.
AUTOSOMAL RECESSIVE TRAIT:
- tends to skip generations
- no difference in expression between genders
- matings between expressing individuals should
produce 100% expressing offspring
- expression incidence increases with consanguinous
marriages.
SEX-LINKED DOMINANT TRAIT: (X-linked--not Y-linked)
- tends not to skip generations
- expressing males must have expressing mothers
- expressing female usu. yield 50:50 expressing
offspring.
- expressing female must have male OR female parent
expressing.
- expressing male will have 100% expressing daughters,
and 0% expressing sons.
SEX-LINKED RECESSIVE TRAIT: (X-linked--not Y-linked)
- tends to skip generations
- most affected individuals will be male
- expressing female must have expressing father
and either heterozygous or expressing mother.
- expressing female will yield 100% expressing sons.
(the term "affected" can be used interchangeably
with "expressing")
Note: Inbred populations tend to express many more
recessive alleles than outbred populations.
Outbreeding (breeding between individuals who are not closely related) tends to foster HYBRID VIGOR.
Hybrid vigor is a result of heterozygosity at many loci. This means that
few genes are present in homozygous recessive condition--a good thing,
since many harmful alleles are recessive!
Inbreeding (breeding between closely related individuals) usually results in homozygosity of recessive
alleles at many loci.
The more homozygous recessives you have, the more likely that some of
the really bad ones will show up. Can you think of some examples?