Physics 274 | Spring 2019

Course Handouts:

Course Handouts:

Lecture 1: Hardy-Weinberg law and genetic drift (material can be found in Gillespie's book)

Lecture 2: Genetic drift; forward and backward Kolmogorov equations (material can be found in Risken's book on the Fokker-Planck equation)

Lecture 3: First-exit time theory. Application to neutral models and a selection of analytically solvable cases (Redner's book on First-passage problems)

Lecture 4: Basics of Natural Selection (Gillespie's book).

Lecture 5: Coalescent (Wakeley's book on Coalescent Theory)

Lecture 6: Distributions of total time and time to the MRCA (Wakeley's book on Coalescent Theory). Extreme value distributions (the book by Kotz and Nadarajah (if you do not have easy access to it you can read the article https://arxiv.org/pdf/1507.05442, which is not exhaustive but gives a first good idea).

Lecture 7: Statistics of neutral genetic variations I (Wakeley's book on Coalescent Theory).

Lecture 8: Statistics of neutral genetic variations II (Wakeley's book on Coalescent Theory).

Lecture 9: Fisher-Kolmogorov model (W. van Saarloos Physics Reports 386 (2003) 29–222).

Lecture 10: Traveling waves (W. van Saarloos Physics Reports 386 (2003) 29–222).

Lecture 11: Distribution of fixation times in the presence of selection (Gillespie's book)

Lecture 12: First-passage time distributions: a selection of analytically solvable cases (Redner's book)

Lecture 13: Double-well potentials

Lecture 14: Ito-Stratonovich regularizations

Lecture 15: Two-loci dynamics and recombination (Gillespie's book)

Lecture 16: Hitchhiking and genetic draft (Gillespie's book)

Lecture 17: Role of recombination and Muller's ratchet (Gillespie's book)