# 1. Prerequisites#

Certain topics and concepts are assumed to be familiar by the reader or are only given a cursory introduction for the introductory and intermediate sections. These include:

## 1.1. Kinetics#

Basic Chemical Kinetics: Difference between rates of change, reaction rates. Mass-action kinetics, the equilibrium constant.

Basic Enzyme Kinetics: Irreversible and reversible Michaelis-Menten kinetics for single substrate, single product reactions. Product inhibition, competitive and uncompetitive inhibition.

Cooperativity, allostery, and the Hill equation.

## 1.2. Biology#

Knowledge of metabolic pathways, the role of enzymes in metabolic pathways, knowledge of allosteric control. Some knowledge of protein signaling networks for more advanced topics.

Stoichiometric networks, mass-balance equations to formulate metabolic models as differential equations.

Concept of the steady state, concentrations and fluxes, boundary and floating species.

## 1.3. Mathematics#

Elementary differential calculus, understanding partial derivatives and differential equations, logarithms.

For the advanced section some knowledge of matrices and vectors, matrix addition, multiplication and matrix inversion, knowledge of eigenvalues.