title: The basic science and mathematics of random mutation and natural selection.
abstract: The mutation and natural selection phenomenon can and often does cause the failure of antimicrobial, herbicidal, pesticide and cancer treatments selection pressures. This phenomenon operates in a mathematically predictable behavior, which when understood leads to approaches to reduce and prevent the failure of the use of these selection pressures. The mathematical behavior of mutation and selection is derived using the principles given by probability theory. The derivation of the equations describing the mutation and selection phenomenon is carried out in the context of an empirical example.
authors.affiliation: PO Box 1240, Coarsegold, 93614, CA, U.S.A.
authors.forename: Alan
authors.initials: A
authors.lastname: Kleinman
mesh_terms: D000483:Alleles; D005075:Biological Evolution; D006801:Humans; D008433:Mathematics; D009154:Mutation / Q000187:drug effects / Q000235:genetics*; D011336:Probability; D012641:Selection, Genetic / Q000187:drug effects / Q000235:genetics*; D017211:Treatment Failure; D018440:beta-Lactam Resistance / Q000187:drug effects / Q000235:genetics; D001618:beta-Lactamases / Q000187:drug effects / Q000235:genetics
chemical_list: D001618:beta-Lactamases
keywords: mathematics; natural selection; probability theory; random mutation