TABLE I.
Summary of different scaling methods.
Methods | Direct scaling | Residence time-based scaling | Allometric scaling | Functional scaling | Multifunctional scaling |
---|---|---|---|---|---|
Main principles | Multiplication of organ sizes by a scaling factor | Match the fluid (blood) residence time for each organ | Physiological parameters should follow allometric power laws at microscale | Define major functional parameter for each organ | Specify multiple objective parameters and numerically derive design parameters |
Pros | • Very simple | • Ensures physiologically realistic dynamics between organs | • Plenty of literature sources for allometric relationship for various parameters | • Mathematically robust and easy to apply once data is provided | • Works well for a specific purpose (for example, PK study) |
Cons | • Likely to cause imbalance between organ functions at microscale | • Each organ module should have physiological level of intrinsic activity | • Allometric scaling law may not hold at microscale | • Issues with organs with multiple functions | • Can be mathematically complex when the system becomes larger |
• Ignores flow rates or circulation time | • Mass transfer within the tissue needs to be considered | • Often requires further refinement by considering cell number, flow rates, etc. | • Difficult to define quantitative parameters for some organ functions |