Most physical and chemical experiments can be described with a finite number of rules. In physiological processes, everything can be tied to the laws of nature. A good model can be a guideline for new experiments. Usually, the model and experiment have an iterative connection. To understand how to investigate any material, there is a model needed (block 1). First, we need an abstract understanding of what we are investigating (block 2). Abstracts are transformed into mathematical models (block 3). There we can use formulas and solve them using the 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 the mathematical model. In other words, this is the purifier of experiments and models.
How to model blood vessels
There can be many modeling ways to them. This is because every model has its own benefits and shortages. Let’s say the Ideal part of the artery. If we take a short element of the artery, it acts as isobaric volume, which has input and output:
If we transform pressure to Voltage, Inertia to the inductor, resistance to the resistor, and compliance to the capacitor, we get an RLC circuit, which we can analyze using circuit analysis methods. Instead of blood flow, there is an electric current density.
When we have such elements, there can be vessel trees modeled by connecting elements to each other.
The heart is and muscle pomp. When the heart is modeled, every volume is modeled as elasticity, inertia, and resistance similar to the 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.