the relationship between time and product formed is exponential
as time goes on the rate of reaction slows
concentration of the substrate decreases over time so there are less collisions
velocity of the back reaction increases
product may inhibit the enzyme
enzyme may be labile
concentration against initial reaction rate is hyperbolic
Vmax = maximum reaction rate
Km = concentration of substrate where half of the enzyme active sites are occupied (half Vmax) (conc units)
Michaelis-Menten equation is velocity=Vmax[S] / ([S] + Km)
if the substrate dissociates quicker than the rate of product formation Km becomes the substrate dissociation constant
if this occurs then the smaller Km the higher the affinity of the substrate to the enzyme
it is difficult to measure Vmax because there is poor solubility of substrate at high concentrations
the Lineweaver-Burk plot removes the issue of insolubility
on the plot
y axis = 1/v
x axis = 1/[S]
the slope = Km/Vmax
the intercept = 1/Vmax
Allosteric Enzymes
allosteric - the binding site for the effector molecule is not the active site of the substrate
co-operative binding = occurs if the number of binding sites of a molecule that are occupied by a specific
type of ligand is a non-linear function of this ligand's concentration
cooperative binding produces a sigmoidal graph of initital reaction rate against substrate concentration
mechanisms that control enzyme activity
feedback inhibition by a product
gene expression - amount of enzyme altered
phosphorylation/dephosphorylation
proteolysis - irreversible activation and altering life span through changes in rate of enzyme degradation
Inhibition of Enzyme Activity
irreversible inhibitors
form a covalent or they bind too tightly so dissociation is extremely slow
enzyme activity can only be restored by synthesis of new enzymes
reversible inhibitors
competitive
have a similar shape too the substrate
bind to the active site
can be overcome by increasing the substrate concentration
alter the slope of the Lineweaver-Burk plot but not the y axis intercept
Vmax remains the same
Km changes
non-competitive
bind to a site different to the active site of the substrate
can not be overcome by increasing substrate concentration
decrease the efficiency of the enzyme rather than stopping the reaction
Vmax changes
Km doesn't change
alter the slope of the Lineweaver-Burk plot but not the x axis intercept
organophosphates
target enzyme - acetylcholinesterase
uses - chemical warfare, insecticides
physiological effects
nerve agents
produce a cholinergic toxidrome as a result of excessive activation of the PSNS