Linear Analysis of an Integro-Differential Delay Equation Model

Figure 1

(a) Biological circuit diagram of (1). Protein production, protein decay, and mRNA decay are assumed to be linear processes. Production of mRNA is considered as a process affected by a delayed response of protein repression. Here the arrow represents activation and the perpendicular symbol represents repression. Solid and dashed lines represent direct chemical reactions and indirect regulatory signals, respectively. Five small circles represent degradation byproducts. (b) Spatial distribution of protein production in the cytoplasm. Protein synthesis happens at various locations from the nucleus. The distance from the nucleus is represented here by the variable , where .

(a)

(b)