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principle of segregation
each diploid organism has two alleles for each gene (locus)
these alleles separate during meiosis, so each gamete receives only one allele
this explains why offspring inherit one allele from each parent
principle of independent assortment
alleles at different loci (different genes) assort independently during gamete formation
separation of one pair of alleles does not affect how another pair separates
leads to genetic recombination
genetic recombination
new combinations of traits
F1 Ab or aB in addition to parental gametes A B or a b
recombination
process of sorting alleles into new combinations
in F1 (Aa Bb) individuals:
parental gametes: AB and ab
recombinant gametes: Ab and aB
recombination occurs when crossing over happens between homologous chromosomes
result: new combinations of alleles that differ from those found in either parent
recombination frequency helps geneticists measure the distance between genes on a chromosome
recombinant
gamete with new combinations of alleles
non-recombinant
gamete that contains only the original combinations of alleles that were present in the parents
connecting Mendel to chromosomes
Walter Sutton proposed genes are located on chromosomes
acts as physical basis for Mendel’s principles:
segregation: homologous chromosomes separate during meiosis I - each gamete gets one chromosome (and one allele per gene)
independent assortment: each pair of homologous chromosomes align and separate independently of others during meiosis
however most organisms have fewer chromosomes than genes, so some genes must share the same chromosome
if genes are on the same chromosome, they can violate independent assortment and tend to be inherited together
linked genes
genes located close together on the same chromosome
tend to be inherited together
these genes form a linkage group and do not assort independently
meiosis linked genes
usually travel together into same gamete
only crossing over can separate them and create recombinant gametes
degree of linkage
close together - strong linkage, few recombinants
far apart - weak linkage, more recombinants
notation for linkage
/ or fraction
linkage in sweet peas
experiment in sweet peas
parental cross: parent with purple flowers and long pollen and another parent with red flowers and round pollen
F1: all purple and long (dominant traits)
F2: ratios did not match expected 9:3:3:1 Mendelian ration
purple/long and red/round were more common than expected
genes for flower color and pollen shape are linked on same chromosome
they do not assort independently
recombination between them was limited
complete linkage
genes vey close together on same chromosome that do not cross over
only parental (nonrecombinant) gametes are produced
parent 1: mm dd parent 2: MD md
F1 inherited M and D together from one parent and m and d from the other
MD and md are on same chromosome showing complete linkage
crossing over and linked genes
crossing over occurs in prophase I of meiosis - an exchange of genetic material between nonsister chromatids of homologous chromosomes
produces new combinations of alleles - recombinant gametes
with single crossover
two chromatids remain unchanged - nonrecombinant
two chromatids exchange segments - recombinant
result 50/50 of each
single crossover affects only two of four chromatids in a homologous pair
calculating recombination frequency
RF = number of recombinant progeny/total number of progeny x 100
CMT2 family clues from DNA
two families with CMT2 - genetic neurological disorder
square = males; circles = females
filled shapes = affected individuals
arrows = first diagnosed (probands)
numbers = age when symptoms started
3 markers on chromosome 1 - everyone with inherited disorder at same region - likely causing the disease
helps researchers narrow down where to look for the CMT2 gene - bringing us closer to diagnosis and treatment
visual map of autosomes
each vertical bar represents one of 22 autosomes
dark - father; light - mother
real example of genetic recombination - the process that shuffles DNA during meiosis
shows that each sperm cell carries a unique mix of DNA from both of the man’s parents
how genetic diversity is created in offspring
coupling and repulsion
arrangement of alleles on homologous chromosomes affects which phenotypes appear most often in offspring
ex. austrailian blowfly
p+ p b+b = heterozygote;; p p b b = homozygous recessive
green is dominant over purple and brown is dominant over black
coupling (cis) configuration
arrangment of linked genes in which wild-type alleles of two or more genes are found on one chromosome, and mutant alleles are on the homologous chromosome
each chromosome carries the same type of alleles - normal and mutant 1 of each
most gametes will contain the original nonrecombinant parental because crossing over is rare between linked genes
when gamete is produced without crossing over, it will inherit either all wild-type alleles or all mutant alleles - no mixed combinations
nonrecombinant progeny
no crossing over
alleles are coupled together in blocks: wild with wild and mutant with mutant
repulsion trans configuration
arrangement of two linked genes in which each of a homologous pair of chromosomes contains one wild type dominant allele and one mutant recessive allele
p+b/pb+
mainly green p+b and pb+
differ from parental phenotypes
allele arrangement is different, not genotype
predicting outcomes of crosses with linked genes
knowing allele arrangement on a chromosome + recombination frequency allows prediction of progeny types and proportions
ex. cucumbers
smooth t is recessive to warty T
glossly d is recessive to dull D
frequency is 16%
cross homozygous warty/dull x homozygous smooth/glossy
F1: TD/td
test F1 with td/td
nonrecombinant parental: TD and td. - 42% each
recombinant Td and t D - 8% each
only t d - 100%
predicting progeny: multiply gamete probabilities to get offspring proportions
0.42 × 1 = 0.42 (42%)
method works for any linked genes when the recombination frequency is known
testing for independent assortment
genes may appear linked or independent depending on proportion of nonrecombinant vs recombinant progenty
deviations from 1:1:1:1 ration could be due to chance or linkage with crossing over
A a B b x a a b b
54 A B, 56 a b, 42 A b, 48 a B
close to ratio but not exact - unclear if independent assortment or partial linkage
calculate expected probabilities assuming independent assortment
use chi-square goodness-of-fit to compare observed vs. expected
chi-square goodness-of-fit test
to see if observed matches predicted
state hypothesis and calculate expected numbers
E = total x expected proportion
x² = sigm (O-E)²/E
df = number of categories -1
compare to critical value - significant deviation?
ex. 290 round, 110 wrinkled
expect 3:1
x² = 3.67; df = 1 - not significant and consistent with prediction
genes are assorting independetly
use table
problem with chi-square
can’t tell you the reason for deviation
could occur because of linkage (not independent, violating assumption2)
expected single-locus ratios are incorrect if lower survival and incomplete penetrance
chi-square test of independence
tests whether two traits or loci assort independently
no assumption about single-locus probabilites
contingency table
E = row total x column total / grand total
chi-square
df = #rows - 1 x #columns - 1
x² = 30.73, df = 1, p<0.005 - traits not independent and are linked
genetic maps
Morgan and students discovered that recombinantion frequencies reflect the physical distances between genes on chromosome
far apart are more likely to recombine than close together
maps of relative distances between loci, markers, or other chromosome regions determined by rates of recombination; measured in recombination frequencies or map units
relative positions of genes based on how often they recombine during meiosis
distances between markers based on crossing over not physical length
physical maps
map of physical distances in between loci, genetic markers, or other chromosome segments, measured in base pairs
Mb actual DNA length
map units
m.u. or cM
unit of measure for distances on a genetic map; also called a centiMorgan
1 map unit = 1% recombination rate
constructing genetic maps
end genes and middle genes
largest frequency = ends
remain gene = somewhere in between
use map units
more genes = comparison to multiple points = refine positions of all genes
highest = farther apart
limits and considerations in genetic mapping
50% recombination means we can’t tell if same yet far or different chromosomes
genes far apart on same behave as unlinked because crossing over occurs so frequently that parent and recombinant gametes are produced in equal numbers
double crossovers
two crossover events occur between same two genes
second crossover reverses effects of first, restoring original parental combination of allleles
some reombinant events may not be detected, leading to underestimation of true distance between genes
rare, but double crossovers more likely when genes are far apart
two point testcross
genetic maps are built using series of testcrosses
each test cross involves one heterozygous parent for a pair of genes
cross between individual heterozygous at 2 loci and individual homozygous for recessive alleles at those loci
recombination frequencies are calculated for each gene pair to determine relative distances
50% = allele segregate independetly; different or same on far
<50% = crossing over happens sometimes but not always; linked on same chromosome
distance
identify linked genes
compare possible positions
mapping
pairwise recombination frequencies and gene order
when mapping genes on a chromosome, we often only have pairwise recombination frequencies (RFs) - the percentage of offspring showing recombination between two genes
smaller RF - genes close together
larger RF - genes are farther apart
cytogenetic map
visual representation of the chromosomes under a microscope
p arm (short arm) and q arm (long arm)
bands (dark and light regions) created by staining technique
labels correspond to band positions used in karyotyping
null hypothesis
two traits assort independently according to Mendel’s second law
no association between Trait 1 and Trait 2
knowing the genotype for one trait does not change the probability of the other trait
X has no effect of Y - assort independently
alternative hypothesis
two traits do not assort independently
association between Trait 1 and Trait 2
knowing the genotype for one trait changes the probability of the other trait
contingency table
rows and columns
why deviation might occur with chi square
genes are linked
two loci are not independent
violates the assumption of independent assortment
expected single-locus ratios are incorrect
some genotypes may have lower survival
incomplete penetrance: not all individuals with the genotype show the phenotype
environmnetal factors or sampling errors can also affect ratios
significant vs. unsignificant
does not match vs. matches
crossover types - genotype: Aa Bb Cc (heterozygous at 3 loci)
genotype: Aa Bb Cc (heterozygous at 3 loci)
coupling configuration:
chromosome 1: ABC (all dominant alleles)
chromosome 2: abc (all recessive alleles)
single crossover between A and B
produces 2 recombinants + 2 nonrecombinants
single crossover between B and C
produces 2 recombinants + 2 nonrecombinants
double crossover
crossovers between A and B and B and C —> produces 2 recombinants + 2 nonrecombinants
in double crossovers, only the middle gene changes compared to nonrecombinants
limitations of two point crosses
mapping pairs of genes is inefficient
many crosses are needed to determine gene order
double crossovers often go undetected —> inaccurate map distances
three point testcross advantages
maps three linked genes at once
detects double crossovers, providing more accurate distances
determines gene order from a single progeny set
2 vs 3 point test cross # of genes
2 vs 3
2 vs 3 point test cross detects linkage
both yes
2 vs 3 point test cross detects double crossovers
no vs. yes
2 vs 3 point test cross determines gene order
no vs. yes
2 vs 3 point test cross accuracy of map
lower vs. higher
three point test cross
determine gene order and genetic distances for linked loci
example: drosophilia (fruit fly)
3 recessive mutations on chromosome 3
st - scarlet eyes recessive
e - ebony body color recessive
ss - spineless bristles recessive
dominat: st+, e+, ss+
map genes based on recombination frequencies from 3 point testcross
steps of 3 point cross
create F1 heterozygotes (cross wild-type x recessive homozygotes to get heterozygote and coupling configuration)
perform test cross (F1 x homozygous recessive; F1 females x recessive males for all three - crossing over only occurs in females for fruit flies - 8 possible phenotypic classes for the progeny 2³ = 8)
interpreting testcross progeny (all progeny express alleles from the heterozygous parent, only recessive alleles contribute, recombination events in heterozygous parent determine genetic map - rare phenotypes - indicate double crossovers and gene order)
mapping principle
analyze which traits appear together most frequently - nonrecombinant types
rare phenotypes - double crossovers reveal middle gene
use recombination frequencies to calculate map distances
summary of 3 pont testcross
three-point testcross efficiently establishes gene order and distances
provides more accurate genetic maps than multiple two-point crosses
crossing over in heterozygous parent is essential
determining gene order steps
identify nonrecombinant and recombinant types
test possible gene orders
determining locations of crossovers
calculating recombination frequencies as map distances
nonrecombinant progeny
most frequent phenotypes (no crossover betweenn genes)
most gametes have no crossover
ex. wild type 283 and triple recessive 278
single crossover progeny
intermediate frequency phenotypes
one rare event
ex. ebony, spineless 50, scarlet 52, ebony 43, scarlet, spineless 41
double crossover progeny
rarest phenotypes
two rare events in one gamete
ex. spinless 5, scarlet, ebony 3
3 possible orders on chromosome
eye color in the middle (e-st-ss)
body color in the middle (st-e-ss)
bristle in the middle (st-ss-e)
draw heterozygous chromosomes for each other
stimulate double crossover - see which produces the observed double-crossover progeny
only the order with bristle locus in middle produces progeny
st+ e+ ss
st e ss+
middle gene is ss
correct order is st-ss-e
middle gene changes relative to nonrecombinants
st+e+ss+ (nonrecombinant) to st+e+ss (double crossover)
st+ = same
e+ = same
ss+ = changed to ss
nonrecombinant vs. st e ss+ (double crossover)
st = same
e = same
ss = changed to ss+
determining locations of crossovers
once gene order is known, we can analyze testcross progeny to determine where crossovers occurred
rewriting progeny genotypes in the correct order (st-ss-e) allows identification of recombination events
calculating recombination frequencies as map distances
include all recombinants single and double crossovers
st and ss: 50 spineless, ebony and 52 scarlet = 102
double crossovers: 5+3 = 8
total recombinats st-ss = 102+8 = 110
total progeny = 755
110/755 × 100 = 14.6 so map distance of 14.6 mu
effects of multiple crossovers
double crossovers can involve different numbers of chromatides
2 strand double crossover - only 2 of 4 chromatids swap - 0% recombinant gametes
3 strand double crossover - 3 chromatids swap - 50% recombinant gametes
4 strand double crossover. -all 4 chromatids swap - 100% recombinant gametes
not all double crossovers create new allele combinations
average effect of all double crossovers - 50% recombinant gametes
limits of genetic mapping accuracy
undetected crossovers: some multiple crossovers produce the same gametes as single crossovers; these go unnoticed in progeny - map distances appear shorter than actual physical distances
effect of gene distance: genes close together: few multiple crossovers - genetic map = phyiscal maps; genes far apart - more multiple crossovers - genetic map underestimates true distance
correction: use mathematical mapping functions (based on poisson distribution); estimate actual distances more accurately
undetected crossovers
when we measure recombination frequency, we assume each crossover creates a detectable recombinant gamete
problem: multiple crossovers (ex. 2 crossovers between the same two genes) can restore the original allele arrangement) - ex. double crossover between A and B can look like no crossover because the alleles return to their parental configuration
result: these events go unnoticed in progeny - we underestimate the recombination frequency
effect on map distances
genes close together - few multiple crossovers occur because there’s little space for 2 events; the genetic map (based on recombination frequency) = physical map
genes far apart: more multiple crossovers occur; many of these are undetected - recombination frequency plateaus at 50 % even if the physical distance is much larger; underestimation
underestimation
genetic map shows a shorter distance than the actual physical distance
observed vs. actual map distance
recombination frequency does not increase linearly with distance
starts proportional at short distances; flattens near 50% because multiple crossovers restore original arrangment
genes gar apart - recombination frequency maxes out at 50%; cannot distinguish very distant genes from genes on different chromosomes
result: genetic map understimates true physical distance
solution: use mapping functions to correct for undetected crossovers
mapping function
mathematical function that relates recombination frequencies to actual physical distances between genes
we use mapping functions to adjust for undetected crossovers; these functions assume crossovers occur randomly along the chromosome
haldanes and kosambis function
haldane’s function
assumes no interference (crossovers occur independently and randomly along the chromosome)
kosambi’s function
account for intereference (one crossover reductes the change of another nearby)
molecular markers
developed in 1980s to examine DNA sequence variations
ex. RFLPS - DNA cut by enzymes reveals differences; microsatellites - variable numbers of repeated DNA sequences; DNA sequencing - detects single-nucleotide differences
traditional genetic markers
genes withe easily observable traits (phenotypies)
examples: flower color, seed shaped, blood type, enzyme differences
limitation: many organisms have few observable traits - mapping was difficult
traditional gene mapping (linkage analysis)
studies inheritance in crosses or pedigrees
tracks association between a trait and specific markers
based on physical linkage and recombination frequency
used in many organisms like fruit flies, corn, mice, and humans
genome-wide association studies (GWAS)
looks for nonrandom associates between traits and many loci across the genome
does not require crosses or family pedigrees
compares allele patterns in populations
useful for traits and diseases with complex inheritance
SNPs
site in genome where individual members of a species differ in a single base pair
millions of SNPs have been mapped in humans and other organisms
SNPs serve as genetic markers for mapping traits
GWAS (genome-wide association studies)
compare SNP patterns between people with a trait/disease and healthy controls
SNPs usually don’t cause the disease themselves, but indicate nearby genes
GWAS applications and impact
indentifies chromosomal regions linked to traits or disease
after GWAS, researchers examine the region for possible causative genes
ex. height, skin pigmentation, eye color, body weight
coronary artery disease, diabetes, heart attacks, blood-lipid levels
bond density, glaucome
GWAS of 400,000 people found 64 regions associated with bipolar disorder (64 genes don’t cause but contain variants that correlate with the condition)
haplotype
set of linked alleles
A2, B2, C4, D-
inherited together more often than by chance
linkage disequilibrium (LD)
nonrandom association of alleles in a haplotype
D- and haplotype tend to be inherited together
crossing over effect
recombination can break up haplotypes and reduces LD
LD persistence
close loci - LD lasts longer
distant loci - LD breaks down quickly
GWAS detection LD
reseachers don’t usually see D- directly (it might not be genotyped)
but they detect that A2, B2, or C4 occur more often in bipolar cases than in controls
statistical signal tells us that something near those markers (like D-) likely contributes to the disorder
role of bacteria and viruses in our world
everywhere
viruses infect all organisms and are the most abundant biological entities on Earth
global impact: ocean bacteria produce 50% of Earth’s oxygen and remove 50% of atmospheric CO2
agriculture: pathogens of crops and animals, provide nutrients like nitrogen and phosphorus to plants
human health: natural bacteria live in the mouth, gut, and skin, aiding digestion, immunity, and disease prevention; many infectious diseases are caused by bacteria or viruses but can be controlled with antibiotics and vaccines
bacteria and viruses in medicine and genetics
medical and industrial importance: bacteria produce drugs, hormones, food additives, and chemicals; viruses are used in gene therapy to deliver healthy genes
genetic significance: simple genetic systems = ideal for studying heredity and gene functions; share core genetic features with humans and other organisms
studies of bacterial and viral genetics have led to
discovery of DNA as genetic material
gene regulation models (ex. lac operon in E. coli that allows the cell to digest lactose)
tools for biotechnology and molecular biology
advantages of using bacteria and viruses for genetic studies
reproduction is rapid
many progeny can be produced
haploid genome allows all mutations to be expressed directly
asexual reproduction simplifies the isolation of genetically pure strains
growth in the laboratory is easy and requires little space
genomes are small
techniques are available for isolating and manipulating their genes
they have medical importance
they can be genetically engineered to produce substances of commercial value
prokaryotes
unicellular organism with a relatively simple cell structure
bacteria (eubacteria) and archaea
DNA sequencing of uncultured bacteria has transformed our understanding of microbial diversity; bacteria and archaea are as genetically distinct from each other as bacteria are from eukaryotes
archaea
unicellular organisms with prokaryotic cell structure
found in all environments, including extreme conditions like hot springs and deep oceans
eubacteria
most familiar bacterial species
bacterial shape
size and shape - wide variety
cocci (spherical)
bacilli (rod-shaped)
spirilla (helical)
cocci
spherical
bacilli
rod-shaped
spirilla
helical
bacterial structures
functional diversity
photosynthetic bacteria capture sunlight and produce oxygen
spore-forming bacteria survive extreme conditions - resistant to heat, cold, radiation, drought, chemicals, etc.
stalks or filaments, superficially resembling fungi - stalks allow bacteria to anchor to surfaces, like rocks, plant roots, or sediments in aquatic environments allow to stay in nutrient rich environments
bacterial complexity
proteins like FtsZ help in bacterial cell division, similar to eukaryotic tubulin in mitosis
proteins
chromosome replication is coordinated with cell division, ensuring each daughter cell receives one copy of the genome
bacteria have proteins that
condense DNA (like histones in eukaryotes)
maintain cell shape and cytoskeletal support
studying bacteria genetically
bacterial heredity is similar to other organisms but they are haploid (only one copy of each gene) and cells are tiny, making phenotypes hard to observe directily