This is a part of my Capstone Research. 

It is an adventurous idea to convert graph network to circuit network. In my project, I convert a branch of nodes to a special kind of circuit.

Branch split is converted to a voltage scource with NSI number volt. Nodes with radius R and tortuosity T are converted to a resistance of R, an inductance of T and a step voltage source NSI*u(t-ti) i is the sequence of the node in branch.

For example, a node with radius 10, tortuosity 1, NSI 15, and located as fifth node in a branch(split node NSI 20) is converted to 

There is a Superposition theorem that independent voltage scources in a linear circuit is addable. Based on this theorem, the voltage of each node is calculated as the following principle: For time t=i, record voltage of node i. f(t) is a function to calculate average of voltage of all the step voltage sources.

That is, node 0 is the node with no inteference of step voltage source, with voltage of 20 volt. 

In general, voltage of node i is 

Voi is affected by the split node voltage source, Vji is affected by the voltage sources before node i

nodes marked with (Voltage amplitude∠argument)

Detailed code is in calRLvol.m