[BIO3119] - Final Exam Guide - Comprehensive Notes for the exam (37 pages long!)

• School: University of Ottawa
• Department: Biology
• Course: BIO 3119
• Professor: Howard Rundle

Document Summary

Mathematical models are a simplification of reality that can be used to clarify hypotheses/assumptions and make predictions. Think of a (cid:373)odel as a(cid:374) e(cid:395)uatio(cid:374) that gi(cid:448)es a set of (cid:858)e(cid:454)pe(cid:272)ted (cid:448)alues(cid:859) fo(cid:396) a se(cid:396)ies of o(cid:271)se(cid:396)(cid:448)atio(cid:374)s. With (cid:373)ost (cid:373)odels, (cid:449)e (cid:373)ake p(cid:396)edi(cid:272)tio(cid:374)s a(cid:271)out (cid:449)hat(cid:859)s goi(cid:374)g to happe(cid:374) (cid:271)ased o(cid:374) p(cid:396)ese(cid:374)t conditions. Assumption: the amount of back mutation is negligible. Ma(cid:374)(cid:455) (cid:373)odels (cid:449)e(cid:859)ll (cid:271)e (cid:449)o(cid:396)ki(cid:374)g (cid:449)ith also ha(cid:448)e a ge(cid:374)e(cid:396)al solutio(cid:374). This means that we do not need to make predictions one generation at a time. Fo(cid:396) e(cid:454)a(cid:373)ple, the p(cid:396)e(cid:448)ious e(cid:395)uatio(cid:374)(cid:859)s ge(cid:374)e(cid:396)al solutio(cid:374) is pt = po(1- )t, where p0 is the initial allelic frequency, and t is the ti(cid:373)e (cid:449)e(cid:859)(cid:396)e i(cid:374)te(cid:396)ested i(cid:374). We could make predictions for the 3rd or 100th generation with this equation. Continuous time: processes being studied occur continuously (e. g. , population growth, model formulated as differential equations, methods for solving these have been extensively studied.