Mendel's Laws:  Human Inheritance of Single Gene Traits

 

A Brief Review of Mendel's Work with Garden Pea Plants

 

In garden pea plants, there are two character states for pea height, tall and short.  Mendel began with pure lines of pea plants.  In plants, pure lines are strains that consistently yield offspring with the same traits generation after generation.  Mendel grew plants that were of pure line for tall and plants that were of pure line for short.  He crossed a pure line tall parent plant with a pure line short parent plant (the P generation) to produce hybrids (the F1 generation [first filial], in simple terms, the children of the parent plants).  He then obtained a second hybrid generation (the F2 generation [second filial], in simple terms, the grandchildren of the parent plants) by crossing the F1 generation plants with each other.  The following results were observed…

 

Crossing

Results

1st cross

pure line tall  X  pure line short

100% tall hybrids (children of the pure line parent plants that were as tall as the parent plant)

2nd cross

hybrid tall F1  X  hybrid tall F1

¾ tall to ¼ short plants (the grandchildren of the pure line parent plants)

 

Mendel made the following conclusions…

 

1.  Alleles control an inherited characteristic & exist in individuals in pairs (You inherit one member of the pair from your father & one member of the pair from your mother).  The two alleles of a pair are the same in homozygous individuals (e.g. the pure line short plants are homozygous for the character state of short.  Their allele pair is short/short).  The two alleles of the pair differ in heterozygous individuals (e.g. the hybrid F1 generation inherited a tall allele from one parent and a short allele from the other parent.  Thus their allele pair is tall/short).  The genotype is the allele combination that produces a character state.  The genotype of the hybrid F1 generation is tall/short. The phenotype is the visible, physical trait.  The phenotype of the hybrid F1 generation is tall.

 

2.  LAW OF DOMINANCE:  Whenever the two alleles of a pair in a given individual differ, only one, the dominant one will be expressed.  In the hybrid F1 generation, the plants inherited one tall allele and one short allele.  Yet, all of these plants appeared to be tall.  Thus tall is the dominant allele (the allele that indicates the appearance of heterozygotes).  One allele is said to be dominant over another if a heterozygous individual for that allele has the same appearance as an individual homozygous for it.  The short allele is the recessive allele (an allele whose phenotype effects are masked in heterozygotes by the presence of a dominant allele).

 

3.  LAW OF SEGREGATION OF ALLELES:  When the gametes (egg & sperm) are formed by an individual, only one member of each allele pair is included in a gamete.  Recall that gametes are haploid.  When the hybrid F1 generation plants produce gametes, each gamete will receive only one allele for plant height.  So, an egg (or a sperm) will have an allele for tall or an allele for short, but not both.  When the egg unites with the sperm during fertilization, the sperm will carry one allele for plant height, restoring the allele pair and the diploid condition.

 

4.  LAW OF INDEPENDENT ASSORTMENT:  All of the possible kinds of gametes that can be formed, will be formed in equal proportions.  Alleles for different traits are inherited independently of each other if they are located on different homologous gene pairs.

 

If Mendel had a tall pea plant, how could he be certain that it was a pure line tall plant?  ________________________________________________________________________________________________________________________________

 

The Sad Plight of the Naked Bunnies

 

furless rabbit.jpg

Photo source:  users.tamuk.edu/kfsdl00/rabb.html

In this activity, you will examine inheritance in a small population of wild rabbits.  Breeders of rabbits have long been familiar with a variety of genetic traits that affect rabbits.  One such trait is the trait for furless rabbits (naked bunnies, you can imagine their embarrassment).  This trait was first discovered in England by W.E. Castle in 1933.  The dominant allele is for normal fur.  The recessive allele is for no fur.  Bunnies that inherit two alleles for fur OR one allele for fur and one allele for no fur will have fur, while bunnies that inherit two alleles for no fur will have no fur.

 

 

 

Exploring Segregation (the production of gametes)

 

In this exercise, we are going to imagine that we crossed a pure line furred rabbit with a naked rabbit.  This cross produced 10 hybrid bunnies that were furred, but carried the recessive allele.  So, from the hybrid F1 (hybrid) generation of bunnies, we will have a total of 10 alleles for fur and 10 alleles for no fur. 

We are going to simulate this situation by placing 10 white beads (representing the furred allele) & 10 red beads (representing the furless allele) into a cup.  We will draw one bead at a time from the cup, without looking, to produce a "gamete" & then return the bead to the gene pool.  Repeat the process of picking a bead out of the cup & returning it for the number of times indicated by your instructor.  Each time, record in Table 1 whether the chosen bead is red or white.  When you have completed your table, add your results to those of other members of the class in the table on the chalkboard. 

 

Table 1.  "Gametes"

 

 

WHITE

RED

Your Total

 

 

Class Total

 

 

 

When we do this, we have a one in two (or 50%) chance of drawing a white bead and a one in two (or 50%) chance of drawing a red bead.  Let's imagine that we drew 200 times at random from the cup.  We would expect to form 100 gametes with the furred (white) allele and 100 gametes with the naked (red) allele.

 

Does one always get exactly the fraction expected in gamete production?  _____

 

What could one do to get closer to the expected ratio?  ________________________________________________________________________________________________________________________________

 

Do a larger number of choices (the pooled data of the class) more closely approach what is expected?  ____

 

In a bunny with one allele for fur and one allele for furless (a heterozygous bunny), what fraction of the gametes should contain the fur allele?  ________

 

Exploring Fertilization

 

            In this exercise, we will work in pairs.  Each partner will represent on hybrid F1 generation bunny capable of producing gametes with furred (white) alleles and gametes with furless (red) alleles.  One partner will produce the eggs (by drawing one bead from the cup) and the other partner will produce the sperm (by drawing one bead from the cup).  We will use the cup with 10 red beads and 10 white beads, as before.  Each time you draw, you are simulating the union of one egg and one sperm, resulting in the formation of one offspring.  You and your partner should each pick one bead from the cup as often as your instructor indicates.  Return the two beads to the cup after each pick & record the red/red, red/white, and white/white combinations in Table 2.  Again, the class results will be tabulated on the chalkboard.  Since in the offspring it usually makes no difference whether the one allele (white) comes from the male parent or form the female parent, the two different red/white or white/red combinations are recorded together.

 

Table 2.  "Genotypes"

 

 

WHITE / WHITE

WHITE / RED

RED / RED

Your Results

 

 

 

Class Totals

 

 

 

 

            In this procedure, you & your partner each have a 50% chance of drawing a red bead and a 50% chance of drawing a white bead.  Every time you both draw, there are four possible outcomes.

 

1.  Partner 1 might draw a white bead.  Partner 2 might draw a white bead.  This would produce a homozygous dominant (or furred) rabbit.  The probability of this happening can be obtained by multiplying the chance of the first event occurring by the chance of the second event occurring.  In other words…

(50% chance of Partner 1 drawing white)(50% chance of Partner 2 drawing white) = 25% chance of offspring inheriting white / white, or both alleles for the furred condition.

 

2.  Partner 1 might draw a white bead.  Partner 2 might draw a red bead.  This would produce a heterozygous rabbit that would be furred.  The probability of this happening is…

(50% chance of Partner 1 drawing white)(50% chance of Partner 2 drawing red) = 25% chance of offspring inheriting white / red, or one allele for the furred condition and one allele for furless condition.

 

3.  Partner 1 might draw a red bead.  Partner 2 might draw a white bead.  This would produce a heterozygous rabbit that would be furred.  The probability of this happening is…

(50% chance of Partner 1 drawing red)(50% chance of Partner 2 drawing white) = 25% chance of offspring inheriting red / white, or one allele for the furred condition and one allele for furless condition.

 

Note that outcomes 2 & 3 can be combined because it doesn't matter whether the rabbits inherit the allele for fur from the mother or the father, it still produces a heterozygous rabbit that would be furred.  Thus, the chance of producing a heterozygous offspring is 25% + 25% = 50% chance of white / red

 

4.  Partner 1 might draw a red bead.  Partner 2 might draw a red bead.  This would produce a homozygous furless or naked bunny.  The probability of this happening is…

(50% chance of Partner 1 drawing red)(50% chance of Partner 2 drawing red) = 25% chance of offspring inheriting red / red, or both alleles for the furless condition and one allele for the furless condition.

 

Imagine that we drew 200 times (representing the production of 200 baby bunnies).  We could predict that 25% or 50 of the offspring would inherit white / white, 50% or 100 of the offspring would inherit white / red, and 25% or 50 of the offspring would inherit red / red.  This would give us a genotypic ratio of 50 white / white : 100 white / red : 50 red / red.  We could simplify this as 1 homozygous furred : 2 heterozygous furred : 1 homozygous furless.

In the above situation, we know that furred is dominant to furless.  Thus, of the 200 offspring we created, we would expect 150 to be furred and 50 to be furless.  This would give us a phenotypic ratio of 150 furred : 50 furless.  We could simplify this as 3 furred : 1 furless.

 

Using the genotype data from Table 2, transfer the allele combination to Table 3 that represents the phenotypes of our bunnies.

 

Table 3.  "Phenotypes"

 

 

FURRED (white / white or white / red)

FURLESS (red / red)

Your Results

 

 

Class Results

 

 

 

What ratio of furred to furless did you and your partner get?  __________________________

 

How does the expected F2 fur ratio compare to the data you obtained here?____________________________________________________________________________________________________________________________

 

How does the pooled data of the class compare to your data for the expected F2 ratio? ________________________________________________________________________________________________________________________________

 

Is the dominant or recessive trait more frequent in an F2 generation?  ________________________________________________________________________________________________________________________________

 

Human Inheritance of Single Gene Traits

 

            Determine your own phenotype for each of the following traits.  For some of the more easily observed traits you may be able to recall the phenotypes of your parents.  If it is possible, determine your own genotype by comparing phenotypes of your parents and your own phenotype.  If you have the dominant phenotype, give both possibilities for your genotype where it cannot be determined definitely.  Record your phenotypes in Table 4 and on the chalkboard so that the data of the entire class may be tabulated.  Record in your table the class results.

 

Tasting:  Does broccoli taste bitter? Is eating hot peppers intensely painful? Scientific evidence suggests a genetic basis for food preferences – and it’s all on the tip of the tongue.  We will explore your ability to taste 3 chemicals.

tongue

1.    PTC (phenylthiourea), is an organic compound that either tastes very bitter or is virtually tasteless, depending on your genetic makeup.  About 70% of people can taste PTC.  Food choice is related to a person’s ability to taste PTC.  One study found that non-smokers and those that don’t often drink coffee or tea are more likely to be able to taste PTC.  The ability to taste PTC (P) is dominant to the inability (p) to taste this chemical.

2.    Thiourea is another organic molecule that either tastes very bitter or is virtually tasteless.  A study at Yale University found that people could be classified into three groups, "supertasters" who could not abide the taste test paper at all, medium tasters who did not like it but tolerated it, and nontasters who could not taste anything. Supertasters will not consume any bitter foods, like dark-green leafy vegetables, coffee or chocolate, and represent perhaps 10 to 15% of the population.  Nontasters have higher rates of thyroid disease - and of course thiourea compounds are antithyroid agents.  The ability to taste thiourea is dominant to the inability to taste it.

a.    Super tasters are homozygous dominant (TT).

b.    Medium tasters are heterozygous (Tt).

c.    Nontasters are recessive (tt)

3.    Sodium benzoate is a type of salt that may occur naturally in some foods but is more likely to be added as a preservative to foods.  It is used in small amounts only (usually in acidic foods like sodas and fruit juices) because too much makes the food taste very bitter.  Sodium benzoate tastes differently to different people. Some may perceive a salty taste while others may claim the sodium benzoate tastes sour, bitter or sweet. Others may not taste the sodium benzoate at all.  Approximately 75% of people can taste it.  The ability to taste Sodium benzoate (S) is dominant to the inability (s) to taste this chemical.

 

double jointed.jpg

Double-jointed thumb.  A dominant gene determines a condition of loose ligaments that allows one to throw the thumb out of joint.  The homozygous recessive condition determines tight joints.

widows peak.jpg

Widow’s peak.  The presence of a point in the middle of the hairline is called a widow’s peak (the woman on the left) and is dominant to the straight hairline (the woman on the right).

 

Hair shape.  There is a lack of dominance in hair shape.  Curly hair is one homozygous condition and straight hair is the alternate homozygous condition.  Wavy hair results from the heterozygous genotype.

 

 

Red hair.  Nonred hair is dominant to its recessive allele.

 

 

Dark hair.  Brunette is dominant to blond hair.

 

 

Freckles.  Presence of freckles is dominant to absence of freckling

 

dimples.jpg

Cheek dimples.  The presence of dimples in the cheeks is a dominant trait.

 

earlobes.jpg

Ear lobes.  In most people around the world, the ear lobe hangs free (diagram on the left) but in some individuals it is directly attached to the side of the head (diagram on the right).  Attached ear lobe is recessive.  Interestingly, in the United States, more people have attached ear lobes than free ear lobes.

 

tongue rolling.jpg

Tongue rolling.  Ability to roll the tongue into a U-shape longitudinally (without the aid of lips) is dominant to the inability to curl the tongue.

 

 

Mid-digital hair.  Some people have hair on the second, or middle joint of the fingers, while others do not.  The complete absence of mid-digital hairs on all fingers is recessive.  There seems to be several dominant alleles which determine whether these hairs grow on all fingers or only one, two, three or four of the fingers.  All are dominant to absence of hairs.  These hairs may be very fine and a hand lens may be required to determine your phenotype for this trait.

hitchhikers.jpg

Hitchhiker’s thumb.  Hyperextensibility of the thumb (hitchhikers’s thumb) is recessive to straight thumb.  This can be determined by examining the position of your thumbs when they are in a relaxed position.  When this condition is present, the usual position of the thumb is such that it is bent backward toward the wrist; there may be as much as a 45˚ angle between the two joints.

 

 

Interlocking thumbs.  When the hands are clasped, some people will place the right thumb on top while others will place the left thumb on top.  This can be tested quite easily; usually the interlocking of the fingers will be the same each time a person does it.  Placing the fingers in the alternate position feels “wrong.”  Evidence indicates that placing the left thumb over the right is dominant.

 

bent little finger.jpg

Bent little finger.  Hold your hands in front of your face with the palm toward you, pressing the little fingers together.  If the two fingers are straight, they will be parallel to one another throughout their lengths; whereas, in the bent finger condition the terminal portions flare away from one another.  The bent finger is dominant to the straight finger.

 

cleft chin.jpg

Cleft chin.  A cleft chin is, essentially, a dimple on the chin.    It results from incomplete fusion of the left and right halves of the jaw during fetal development.  The resulting bony peculiarity results in a cleft chin.  Cleft chins is dominant to chins without a cleft.

 

unibrow.jpg

Eyebrow position.  Some people have abundant hair between the eyebrows, so that they seem to converge to form one long eyebrow, known as a unibrow or monobrow.  The condition is known as synorphrys.  Connected eyebrows are dominant to unconnected.

 

 


Table 4.  Tabulation of Human Traits

 

GENETIC TRAITS

YOUR RESULTS

CLASS TABULATION

Phenotype

Genotype

Phenotype

Genotype

# Dominants

# Recessives

PTC taster

Nontaster

PP or Pp

pp

 

 

 

 

Thiourea Supertaster

Medium taster

Nontaster

TT

Tt

tt

 

 

 

 

Sodium Benzoate taster

Non taster

SS or Ss

ss

 

 

 

 

Double-jointed thumb

Tight joints

JJ or Jj

jj

 

 

 

 

Widow’s Peak

Straight hair line

WW or Ww

ww

 

 

 

 

Curly hair

Wavy hair

Straight hair

CC

CC’

C’C’

 

 

 

 

Nonred hair

Red hair

NN or Nn

nn

 

 

 

 

Dark hair

Blond hair

MM or Mm

mm

 

 

 

 

Freckles

No freckles

FF or Ff

ff

 

 

 

 

Cheek dimple

No cheek dimple

DD or Dd

dd

 

 

 

 

Free earlobes

Attached earlobes

EE or Ee

ee

 

 

 

 

Tongue rolling present

Tongue rolling absent

RR or Rr

rr

 

 

 

 

Digital hair present

Digital hair absent

MM or Mm

mm

 

 

 

 

Straight thumb

Hitchhikers’s thumb

HH or Hh

hh

 

 

 

 

Left thumb over right

Right thumb over left

LL or Ll

ll

 

 

 

 

Bent little finger

Straight little finger

BB or Bb

bb

 

 

 

 

Cleft chin present

Absence

CC or Cc

cc

 

 

 

 

Unibrow

Separate eyebrows

UU or Uu

uu

 

 

 

 

 

For how many traits are you recessive?   _____________________

On the basis of the tabulated results for the entire class, are there any recessive traits which are more common among the class members than the dominant condition?  If so, name them.  ________________________________________________________________________________________________________________________________

 

What difference would you expect in the tabulation if 1000 students were included in the table?

________________________________________________________________________________________________________________________________________________________________________________________________