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Ex_2_6.py

+#!/usr/bin/env python3
+# -*- coding: utf-8 -*-
+"""
+Created on Wed Feb 26 07:12:21 2025
+
+@author: delvigne
+"""
+
+'''
+Exercice 2.6. Scaling law
+'''
+
+import pandas as pd
+import numpy as np
+import matplotlib.pyplot as plt
+
+
+
+
+PATH = "/Users/delvigne/Documents/Cours Delvigne/Modelling physical and biological systems/2025/"
+
+
+File_dir = PATH+'/'+'Ex_ScalingLaw.xlsx'
+File = pd.read_excel(File_dir)
+
+x1 = File['x_bioreactor (L)'] #[0:indexEnd]
+y1 = File['y_productivity (g/L.h)'] 
+x2 = File['x_bodyMass (Kg)'] 
+y2 = File['y_metabolicRate (Watts)'] 
+x3 = File['x_Population'] 
+y3 = File['y_Patents'] 
+
+#Bioreactor productivity
+plt.plot(x1,y1,'o')
+plt.xlabel('Size of the system')
+plt.ylabel('Output of the system')
+plt.title('Bioreactor')
+plt.show()
+
+plt.plot(np.log10(x1),np.log10(y1),'o')
+plt.xlabel('log10 Size of the system')
+plt.ylabel('log10 Output of the system')
+plt.title('Bioreactor')
+plt.show()
+
+#Metabolic rate in mammals
+plt.plot(x2,y2,'o')
+plt.xlabel('Size of the system')
+plt.ylabel('Output of the system')
+plt.title('Metabolic rate in mammals')
+plt.show()
+
+plt.plot(np.log10(x2),np.log10(y2),'o')
+plt.xlabel('log10 Size of the system')
+plt.ylabel('log10 Output of the system')
+plt.title('Metabolic rate in mammals')
+plt.show()
+
+#Patents in function of the size of the city
+plt.plot(x3,y3,'o')
+plt.xlabel('Size of the system')
+plt.ylabel('Output of the system')
+plt.title('Patents in fct of population size')
+plt.show()
+
+plt.plot(np.log10(x3),np.log10(y3),'o')
+plt.xlabel('log10 Size of the system')
+plt.ylabel('log10 Output of the system')
+plt.title('Patents in fct of population size')
+plt.show()
+
+
+
+			 	
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