Theoretical mechanisms for synthesis of carcinogen-induced embryonic proteins: XX embryonic gene perturbations expressed in terms of matrix algebra

Abstract

Simple matrix expressions can be devised for gene repressor associations that lend themselves to manipulations such as linear transformation matrices. Such transformation matrices act in perturbing representations for given repressed genic states and may be analogous to carcinogens. Although the matrix algebraic expressions are developed by using simple repressor theory, it can equally serve to represent modifications of chromatin domains that may be more consistent with mechanisms of derepression of embryonic genes. In general, it is proposed that the potentially exploitable algebras such as abstract, geometric, matrix, vector and tensor be a subset of mathematical biology termed “Bioalgebraic Field Theory”.