Multi-compartment Model - Model Topologies

Model Topologies

Generally speaking, as the number of compartments increase, it is challenging both to find the algebraic and numerical solutions of the model. However, there are special cases of models, which rarely exist in nature, when the topologies exhibit certain regularities that the solutions become easier to find. The model can be classified according to the interconnection of cells and input/output characteristics:

1. Closed model: No sinks or source, lit. all k_oi = 0 and u_i = 0;
2. Open model: There are sinks or/and sources among cells.
3. Catenary model: All compartments are arranged in a chain, with each pool connecting only to its neighbors. This model has two or more cells.
4. Cyclic model: It's a special case of the catenary model, with three or more cells, in which the first and last cell are connected, i.e. k_1n ≠ 0 or/and k_n1 ≠ 0.
5. Mammillary model: Consists of a central compartment with peripheral compartments connecting to it. There are no interconnections among other compartments.
6. Reducible model: It's a set of unconnected models. It bears great resemblance to the computer concept of forest as against trees.