#!/usr/bin/env python3
# -*- coding: utf-8 -*-
"""
Created on Tue Dec 13 09:41:01 2022
%File gma_approximations.py
%Figure 3.13: Comparions of GMA and Michaelis-Menten rate laws

@author: bingalls
"""
import numpy as np
import matplotlib.pyplot as plt


t_min=0; t_max=4; dt=0.001
t=np.arange(t_min, t_max+dt, dt) #generate time-grid


plt.figure()
plt.plot(t, np.divide(2*t,1+t), label="Michaelis-Menten", linewidth=2)
plt.plot(t, np.power(t,0.4), label="GMA", linewidth=2)
plt.xlabel("Substrate concentration (arbitrary units)")
plt.ylabel("Reaction rate (arbitrary units)")