Most of physical and chemical experiments can be described with a finite number of rules. In physiological processes everything can be tied to laws of nature. Good model can be as a guideline to new experiments. Usually model and experiment has iterative connection. In order to understand ho to investigate any material there is model needed (block 1). First we need abstract understanding about what we are investigating (block 2). Abstracts are transformed into mathematical model (block 3). There we can use formulas and solve them using computer. The results you get shows, what experiments have to be done and what to expect from them.
This loop system is resistive to irregularities in mathematical model. In other words, this is the purifier of experiments and models.
How to model blood vessels
There can be many modeling ways of them. This is because, that every model has its own benefits and shortages. Lets say Ideal part of artery. If we take short element of artery, it acts as isobaric volume, which has input and output:
If we transform pressure to Voltage, Inertia to inductor, resistance to resistor and compliance to capacitor, we get RLC circuit, which we can analyze using circuit analysis methods. Instead of blood flow there is electric current density.
When we have such element, there can be vessel trees modeled by connecting elements to each other.
Heart is and muscle pomp. When heart is modeled, every volume is modeled as elasticity, inertia and resistance similar to artery. The differences are in valves that control the direction of blood float. Valves can be modeled as ideal diodes. And again use electrical laws to calculate…