1. Fundamental Concepts
- Definition: Mendel's rules of inheritance are based on the idea that traits are passed from parents to offspring in a predictable manner. However, there are exceptions where these rules do not apply.
- Rule 1 (Law of Segregation): Each organism inherits one allele for each trait from each parent, and these alleles segregate during gamete formation.
- Exceptions: Certain genetic phenomena violate this rule, such as incomplete dominance, codominance, multiple alleles, and pleiotropy.
2. Key Concepts
Incomplete Dominance: $F_1$ hybrids show an intermediate phenotype between the two parental phenotypes.
Codominance: Both alleles are fully expressed in the heterozygote.
Pleiotropy: A single gene affects multiple phenotypic traits.
3. Examples
Example 1 (Basic)
Problem: In snapdragons, flower color is determined by incomplete dominance. Red flowers ($RR$) and white flowers ($rr$) produce pink flowers ($Rr$). If you cross two pink flowers, what is the expected genotype ratio?
Step-by-Step Solution:
- Set up the Punnett square with $Rr \times Rr$.
- The genotypes will be $RR$, $Rr$, $Rr$, $rr$.
- The expected ratio is $1RR : 2Rr : 1rr$.
Validation: The observed ratio matches the expected ratio of $1:2:1$.
Example 2 (Intermediate)
Problem: In humans, the $ABO$ blood group system involves multiple alleles. If a person with type $AB$ blood has one parent with type $A$ blood and another with type $B$ blood, what are the possible genotypes of the child?
Step-by-Step Solution:
- Parent genotypes: Type $A$ could be $AA$ or $AO$, and Type $B$ could be $BB$ or $BO$.
- For simplicity, assume the parents are $AO$ and $BO$.
- The possible genotypes of the child are $AB$, $AO$, $BO$, and $OO$.
Validation: The child can have blood types $A$, $B$, $AB$, or $O$.
4. Problem-Solving Techniques
- Punnett Square Method: Use a Punnett square to visualize all possible combinations of alleles.
- Phenotype Analysis: Observe the physical traits and use them to infer the genotype.
- Genetic Ratios: Apply the ratios derived from Mendelian genetics to predict outcomes.