The central dogma

Not necessarily random or optimal, but consequence of Evolution

1. Mutating Sequence:
• Mutations & Classical genetics
• Binary sequence of independent elements
• Transition matrix and time dependent evolution
2. Population Perspective:
• Master equation for evolving population
• Steady state (binary distribution)
• Enzymatic analog

1. Terminology:
• Genotype, phenotype
• Locus, allele, dominant/recessive
• Diploid, Haploid
2. Reproduction:
• Hardy-Weinberg Equilibrium
• Fisher-Wright binomal process
3. Selection:
   • Fitness
   • Wright's equation

1. The forward Kolmogorov equation:
• Continuum limit of the Master equation
• Drift and diffusion
• Mutations
2. Binomial selection:
• Binomial rates
• Drift/diffusion
3. Chemical reaction mimicking selection:
• Master equation for a binary reaction
• Drift/diffusion coeeficients for selection
4. Steady states:
• For general drift/diffusion
• For population with mutations/drift/selection

[Lecture Notes]

[Exercises]