title: how to tell MATLAB to rewrite a complex equation into a michaelis-menten form equation?
body: <p>I'm using MATLAB to derive rate equations for enzyme kinetic mechanisms. These rate equations are usually very large and contain lots of k-values (k1, k2, k3,...). The simplest output that matlab generates is an equation like this:</p>
  
  <pre><code>v = -k3*k1*s/(-k2-k3-k1*s)
  </code></pre>
  
  <p>I would like to tell MATLAB to rewrite this equation into the standard michaelis-menten type equation: v = vm*s/(km+s), where vm and km stand for the k-values. In this simple case this would yield:</p>
  
  <pre><code>v = k3*s/((k2+k3)/k1+s)
  </code></pre>
  
  <p>Does anyone know how to do this? thanks!</p>