MATLAB to Python: Converting the Kimura State Equation

Converting MATLAB's Kimura State Equation to Python

This article focuses on converting a MATLAB function, the Kimura State Equation, into its Python equivalent.

**Original MATLAB Code:**matlabfunction [uf_dot, vf_dot,ue_dot, ve_dot] = kimura_stateq(Tr, Ta, uf, vf, ue, ve, yf, ye,a, b, c,wyf_sum, wye_sum, shsum) uf_dot =(1/Tr)(-uf+bvf+aye+wyf_sum+shsum+c); vf_dot = (1/Ta)(yf-vf); ue_dot = (1/Tr)(-ue+bve+ayf+wye_sum+shsum+c); ve_dot = (1/Ta)(ye-ve);end

**Converted Python Code:**pythondef kimura_stateq(Tr, Ta, uf, vf, ue, ve, yf, ye, a, b, c, wyf_sum, wye_sum, shsum): uf_dot = (1/Tr)(-uf + bvf + aye + wyf_sum + shsum + c) vf_dot = (1/Ta)(yf - vf) ue_dot = (1/Tr)(-ue + bve + ayf + wye_sum + shsum + c) ve_dot = (1/Ta)(ye - ve) return uf_dot, vf_dot, ue_dot, ve_dot

The conversion process involves understanding the function's logic and translating its syntax into Python. Key points:

• Function Definition: Python uses def to define functions, followed by the function name and parameters.* Calculations: The mathematical operations remain the same, using Python operators.* Return Values: The return statement is used to output multiple values as a tuple.

By following these steps, the Kimura State Equation is successfully implemented in Python, ready for integration into your projects.