290 likes | 473 Views
Genome 351, 15 April 2013, Lecture 5. Today…. Meiosis: how the genetic material is partitioned during the formation of gametes (sperm and eggs) Probability: -the product rule -the sum rule Independent assortment of nonhomologous chromosomes during meiosis.
E N D
Genome 351,15April 2013, Lecture 5 Today… • Meiosis: how the genetic material is partitioned during the formation of gametes (sperm and eggs) • Probability: • -the product rule • -the sum rule • Independent assortment of nonhomologous chromosomes during meiosis
Meiosis: the formation of gametes DNA Replication • Meiotic Division 1 • Copied chromosomes (sister chromatids) stay joined together at the centromere. • Homologous chromosomes pair up and physically join at sites of recombination • Proteins pull the twohomologs to opposite poles • Meiotic Division 2 • Proteins pull the two sister chromatids to opposite poles • Each gamete gets a copy of only one homolog (usually a maternal-paternal hybrid). DNA Recombination (crossing over)
Mitosis vs. Meiosis 1m 1p 1m 1p DNA Replication 2x1m 2x1p DNA Recombination 2x1p 2x1m 2x 1m/p 2x 1m/p 2x 1p/m 2x 1p/m 2x1m 2x1p 2x 1m/p 2x 1p/m 1m 1m 1p 1p 1m 1p/m 1p 1m 1m 1m/p 1p 1p exact copies
Meiotic Division I Crossovers hold the homologues together until all of the chromosomes are attached to the spindle
Meiotic Division I Crossovers hold the homologues together until all of the chromosomes are attached to the spindle The homologues then separate from one another, exchanging corresponding portions as they do so
Meiotic Division II The two daughter cells from meiotic division Igo directly into meiotic division II Sister chromatids separate during meiotic division II
One round of DNA synthesis with one cell division Two genetically identical daughters Sister chromatidssegregate Homologs do not line up or separate Homologs do not exchange corresponding segments (no crossing over) Final products are diploid (2n) Mitosis vs. Meiosis
Probability is important in genetics Needed for… • testing hypotheses • mapping disease genes • genetic counseling
Pedigree of a family segregating phenylketonuria (PKU) What can we infer from the pedigree?
Use of the Product and Sum rules A couple has a first child who tests positive for PKU. What can you infer about their genotypes? What is the probability that their next child will have PKU? What is the chance the next child, if he or she is not affected, will be a carrier?
Following the fate of the PAH gene in a PAH+/- heterozygote during meiosis PAH- PAH+ DNA Replication 2 copies PAH+ 2 copies PAH- DNA Recombination 2 copies PAH+ 2 copies PAH- PAH+ PAH- PAH+ PAH- PAH+ PAH- PAH+ PAH- PAH- PAH+ PAH- PAH+ PAH+ PAH+ PAH- PAH-
Following the fate of the PAH gene in a PAH+/- heterozygote during meiosis PAH- PAH+ DNA Replication 2 copies PAH+ 2 copies PAH- DNA Recombination 2 copies PAH+ 2 copies PAH- PAH+ PAH+ PAH- PAH- PAH+ PAH+ PAH- PAH- PAH+ PAH+ PAH- PAH- PAH+ PAH- PAH+ PAH-
Genetic accounting eggs What are the possible genotypes and phenotypes of the children of parents who are both phenylketonuria carriers? sperm
Product rule PAH+/- PAH+/- eggs What is the probability that their next child will have PKU? ½ PAH+ ½ PAH- PAH-/- PAH+ PAH- PAH+ PAH+ ½ PAH+ Product Rule: The probability of 2 or more independent events occurring simultaneously sperm PAH+ PAH- PAH- PAH- ½ PAH- Probability of PAH-/-?
Sum rule What is the chance the next child, if he or she is not affected, will be a carrier? PAH+/- PAH+/- PAH-/- eggs Sum Rule: The probability of an event that can occur in 2 or more ways ½ PAH+ ½ PAH- PAH+ PAH- PAH+ PAH+ ½ PAH+ = sum of the separate probabilities sperm PAH+ PAH- PAH- PAH- ½ PAH- Probability of PAH+/-?
Punnett Square Execution Determine types of gametes from each parent Combine each type of female gamete with each male gamete Advantages of Punnett Square Organized and systematic Gives all possible combinations of genotypes automatically Disadvantages of Punnett Square Slow and labor intensive, especially for complex genotypes (e.g., AaBbCc X AabbCc)
Two events necessary: II-3 must be Aaand they must have aa child Using the product and sum rules a = no pigment Example: Albinism… What is the probability that III-1 will be albino?
Independent assortment of nonhomologous chromosomes during meiosis What happens to non-homologous chromosomes during meiosis?
1m 1p 1p 1m 2m 2p 2m 2p 1p 1p 1p 1m 1m 1m 1m 1p 1p 1p 2p 2p 2p 2m 2m 2m 2m 2p 2p 2p 1m 1m 2m 2m Independent assortment of nonhomologous chromosomes during meiosis Two equally probable arrangements:
Meiosis and independent assortment of nonhomologous chromosomes can create many different types of gametes Examples: 1 pair of homologous chromosomes gives 2 types of gametes (21 = 2) 2 pairs of homologous chromosomes gives 4 types of gametes (22 = 4) n pairs of homologous chromosomes gives 2n types of gametes 23 pairs of homologous chromosomes gives 223 (8 million) types of gametes
An example of independent assortment • Following the fate of genes on different (nonhomologous) chromosomes • Cystic fibrosis on chromosome 7 • A gene that influences ABO blood types on chromosome 9
Some background on ABO blood groups A red cells = A antigen AB red cells = B antigen O red cells B red cells
The ABO (I) gene There are 3 different versions (alleles) of the I gene: adds A sugar to red cell surface A I alleles IA B adds B sugar to red cell surface IB adds no sugar to red cell surface i
The ABO gene - dominance relationships IA is dominant to i IA/IA or IA/i - A blood type IB is dominant to i IB/IB or IB/i - B blood type i is recessive i/i - O blood type IAis co-dominant with IB IA/IB- AB blood type The I gene lies on chromosome 9q34
CFTR+ CFTR- CFTR- CFTR+ IA i IA i CFTR+ CFTR- CFTR- CFTR+ i IA i IA CFTR+ CFTR+ CFTR+ CFTR- CFTR- CFTR+ CFTR- CFTR- i IA i IA IA i i IA Independent assortment of genes on nonhomologous chromosomes Gametes formed from a CFTR+/- IA/i double heterozygote:
Gametes that arise from a CFTR+/- IA/i double heterozygote: IA CFTR+ 1/4 IA CFTR+ i CFTR- 1/4 i CFTR- CFTR- IA 1/4 CFTR- IA i CFTR+ 1/4 i CFTR+
CFTR+ IA CFTR- i CFTR- IA CFTR+ i CFTR+ IA CFTR- i CFTR+ i CFTR- IA Possible genotypes and phenotypes from a mating of CFTR+/- IA/i double heterozygotes What genotypes give CF and A blood type? Eggs What genotypes give nonCF and A blood type? C+/+ IA/IA C+/+ IA/i C+/- IA/i C+/- IA/IA C-/- i/i C+/- IA/i C+/- i/i C-/- IA/i What genotypes give nonCF and O blood type? Sperm C+/- IA/i C+/- i/i C+/+ IA/- C+/+ i/i What genotype gives CF and O blood type? C-/- IA/IA C+/- IA/IA C-/- IA/i C+/- IA/i
1/4 1/4 1/4 1/4 CFTR+ IA CFTR- i CFTR- IA CFTR+ i C+/+ IA/IA CFTR+ IA C+/+ IA/i C+/- IA/i C+/- IA/IA 1/4 9 N, A 3 N, O 3 CF, A 1 CF, O CFTR- i C-/- i/i C+/- IA/i C+/- i/i C-/- IA/i 1/4 C+/- i/i CFTR+ i C+/+ i/i C+/- IA/i C+/+ IA/- 1/4 C+/- IA/i C-/- IA/IA CFTR- IA C-/- IA/i C+/- IA/IA 1/4