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-
-Background:
-
-Ligands are little molecules (which could be proteins or chemicals or whatever)
-which bind to a larger biomolecule (eg, a protein or DNA) called the receptor.
-"Receptor/ligand" binding affinity refers to how strongly different ligands
-want to attach to different receptors. Both binding (association) and
-un-binding (dissociation) is happening all the time, so you get a (dynamic, or
-possibly steady state) distribution of binding probability.
-
-ref: https://en.wikipedia.org/wiki/Ligand_(biochemistry)
-
-ODEs (ordinary differential equations) are those involving only a single
-independent variable; eg, solving for x in terms of t, only having derivatives
-dx/dt, (d^2 x / d x^2), etc. the order of the ODE is the highest order of
-derivative.
-
-PDEs (partial differential equations) are those involving multiple independent
-variables, and thus partial derivatives. Eg, x in terms of t and r, having
-derivatives del x / del t, del x / del r, and del^2 x / (del t * del r).
-
-ref: https://en.wikipedia.org/wiki/Differential_equation#Ordinary_and_partial
----------
-
-Law of mass action: rate of a reaction involving two quantities is proportional
-to the product of the densities of both.
-
-Michaelis-Menten: approximation to solution of enzyme-catalyzed reaction
-equation:
-
-    d [S] / dt = (max reaction rate) * [S] / (Km + [S])
-
-    [S] is concentration of substrate S
-    Km is Michaelis constant, which is a specific substrate concentration
-
-    (max reaction rate) =~ k_2 [E]_total
-    Km =~ (k_-1 + k_2) / (k_1)
-
-    all assuming that enzyme E catalizes S into P with rates k_n:
-
-                    -> k_1
-        [E] + [S]            [ES]    -> k_2  [E] + [P] 
-                    <- k_-1
-