Example Autosomal Mapping problem:
Suppose we have a heterozygous fly with the genotype a+b+c+/abc (where + indicates the wild type allele and abc indicates the mutant alleles) and we cross this fly with a homozygous recessive fly with the genotype abc/abc.
We collect and count the following offspring:
388 with phenotype a+b+c+
To solve this problem, we first identify the parental and recombinant phenotypes. The most common phenotypes are parental (from the heterozygous parent), and the least common are double crossovers. In this case, a+b+c+ and abc are parental, and a+b+c and ab+c+ are double crossovers.
Next, we calculate the recombination frequencies:
For genes a and b: (115 + 108 + 12 + 15) / total * 100 = 31.5%
For genes b and c: (115 + 108 + 12 + 15) / total * 100 = 31.5%
For genes a and c: (12 + 15) / total * 100 = 3%
The gene order is determined by the smallest recombination frequency, which is between genes a and c. So, the order is a - c - b.
Finally, we calculate the map distances in centiMorgans (cM), which are approximately equal to the recombination frequencies2:
Distance between a and b: 31.5 cM
Distance between b and c: 31.5 cM
Distance between a and c: 3 cM
So, our final gene map looks like this:
This is a simplified example, but it gives you an idea of how to approach these problems.