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Rennin or Rennet
Enzymes produced by stomach of reminant mammals
Some early canteens were made from animal stomachs; when milk was stored in these canteens, it clumped into cheese
Chymosin is a protease enzyme that curdles the casein in milk
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Alcohol fermentation
It is possible to convert glucose to ethanol via some action dependent on yeast
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Catalysts
- Substances that increases the rate of a reaction
- Not consumed in the process
- Do not affect thermodynamic equilibrium (they don't make the products more favorable, only accelerate the transition
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Bological catalysts
- Most enzymes are proteins or protein-RNA complexes
- Ribozymes are RNA catalysts
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Enzymes are typically protein catalysts that exhibit:
- Higher reaction rates- typically 106 to 1012 times faster than uncatalyzed reactions
- Milder reaction conditions: below 100 degrees C. normal atmospheric pressure, and often near neutral pH
- Greater reaction specificity
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Rate of reaction can be regulated by
- Concentration of substrates and products
- or
- Regulating enzyme activity via: allosteric control, covalent modification, variation of enzyme amount
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Active site
The part of the enzyme which binds the substrate, and contains the residues that directly participate in making and breaking bonds
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Substrate
A reactant, acted upon by the enzyme
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Inhibitor/Activator
Substance that reduces or enhances the activity of an enzyme
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Cofactor/Coenzyme
Small molecule required for enzyme activity (not for all enzymes)
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Holoenzyme
Active enzyme bound to required cofactors
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Apoenzyme
The enzyme without required cofactors
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Turnover
One reaction cycle
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CAN Carbonic anhydrase
- Catalyzes conversion of CO2 and H2O to carbonic acid
- One of the fastest rxns
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Rate enhancement
Factor by which reaction rates are enhanced by an enzyme= catalyzed rate/uncatalyzed rate
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Specificity in Enzyme-substrate interactions
- Enzymes vary in their ability to distinguish between substrates
- Some are very specific and only accelerates with one substrate
- Most enzymes can act on a range of similar substrates i.e alcohol dehydrogenase (oxidizes small alcohols)
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6 major classes of enzymes
- Oxidoreductases
- Transferases
- Hydrolases
- Lyases
- Isomerases
- Ligases
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Oxidoreductases
Redox reactions
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Transferases
Transfer of functional groups
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Hydrolases
Hydrolysis reactions
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Lyases
Group elimination to form double bonds
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Isomerases
- isomerization reactions
- converts from one isomer to another
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Ligases
Bond formation coupled with ATP hydrolysis
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Kinases
Transferases for a phosphate group
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Phosphatases
Hydrolases for phosphoryl groups
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Proteases
Hydrolases for amide bonds in proteins
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Thermodynamics vs Kinetics
If a reaction has a negative change in Gibb's then you know a reaction can occur (favorable) but only kinetics tells you how quickly
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Activation energy
Rate of reaction is defined by this which is required to transit a via a highly unstable transition state
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What does this show?
- The transition state is energetically unfavorable (high free energy) complex
- The larger the change in energy of the transition state, the slower the reaction rate
- -Transition state is unstable, therefore it is very small in the reaction mixture
Transition state will quickly decompose to reactants or to products
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Rate-determining step
- The slowest step: typically the formation of transition state
- In a multi step reaction, the step with the largest activation energy is the rate limiting step
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Raising temp effect
Reactions can be accelerated by temperature (T)
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Lowering activation barrier (enzymes) effect
- The lower the change of Gibbs at the transition state, more molecules have enough energy to cross the activation barrier
- Enzymes provide a reaction pathway with a lower activation energy in order to reach equilibrium more quickly

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What is the shape of the curve for enzyme catalyzed reactions?
Bell-shaped curve
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How can enzymes reduce gibbs free energy?
They stabilize an intermediate state- compound state similar to the transition state
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Classes of rate enhancement exhibited by enzymes (mechanisms of catalysis)
- Substrate entropy reduction: proximity, orientation
- Preferential binding of the transition state
- Acid-base catalysis
- Covalent catalysis
- Metal ion catalysis
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Entropy reduction: proximity, orientation
- Enzyme-catalyzed rxns use standard organic mechanisms that are more efficiently than in solution
- Proximity (local concentration) and orientation (proper alignment) are two obvious physical properties that can be manipulated by an enzyme
Bringing reactants close together and with the enzyme catalytic center and aligning them for reaction speeds up reaction
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Outcome of proximity and orientation entropy reduction
- Rate enhancement: up to 107-108
- Large entropic penalty that must be compensated by binding energy of the enzyme-substrate complex
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- Enzyme-substrate complex
- Driven by free energy/affinity (inherent)
- Energy barrier: solvation/desolvation and changes in structure/association (induced fit)
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Entropic penalty
- Reflected in energy barrier between S and ES states
- First step is the formation of the enzyme-substrate complex (ES complex)
- ES complex is typically more favored than free E and S due to enthalpic forces
- EP complex is typically slightly less favored than free E and P to potentiate release of the product
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Transition state stabilization
Energy difference for (Change Gcattransition state) for catalyzed reaction (EStransition-ES) is less than Change in G noncatalyzed transition state (Stransition-S) for a reaction that is enhanced by transition state stabilization
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Stickase: theoretical enzyme
- Enzymes are not optimized for strong bonding to their substrates
- Enzymes should (bind well) to transition states

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Enzyme-substrate complex
- Multiple weak interactions between enzyme and substrate are responsible for ES complex
- These weak interactions cover the "cost" of forming energetically unfavorable transition state
Substrate is biased towards transition state in the bound enzyme-substrate complex (apply steric strain)
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How can transition state be mimicked by intermediate state
Typically a covalent complex between enzyme and substrate
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What does increased affinity of the enzyme for the transition state relative to the substrate do?
Increases the rate of the catalyzed reaction
2 addtl H bonds between enzyme and transition state relative to substrate results in ~106 rate enhancement
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Acid-Base Catalysis
Reactions can be catalyzed by proton transfer or sharing between a substrate and an enzyme (acid-base chemistry)
Requires a side chain that can donate or accept a proton
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What is beneficial for amino acids serving as both an acid and base during different stages of the same catalytic cycle?
Ensures the enzyme is returned to its original state at the end of the reaction allowing the enzyme to process another substrate
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pH optimum shape of Acid-Base catalysis
- Typical dome-like shape
- Optimal pH for most enzymes match their environment
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Covalent catalysis
Enzymes may accelerate reaction rates through transient formation of enzyme-substrate covalent bonds
Often involves reaction of a nucleophilic group with an electrophilic substrate (i.e sometimes called nucleophylic catalysis)
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- Reaction coordinates of covalent catalysis
- The more stable the intermediate, the harder it is to break the covalent bond
The rate limiting step requires more energy to break
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Metal Ion Catalysis
Metalloenzymes require a metal ion for catalytic activity
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Common metal ion catalysts
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Structural or catalytic metals
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Major roles of functional metal centers
- Binding to substrates to orient them for reactions
- Oxidation-reduction reactions by changing the metal ion oxidation state
- Electrostatic stabilization or shielding of negative charges
Metal ions can make covalently bound water molecules more acidic than free water: good source of catalytic OH-
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Carbonic anhydrase: activation of water molecule
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Alcohol dehydrogenase: stabilization of a transition state
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Mechanism of catalysis for serine proteases
- Proximity, orientation, and entropy reduction
- Preferential binding of the transition state complex (transition state stabilization)
- Acid-base catalysis
- Covalent catalysis
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Common serine proteases
- Chymotrypsin
- Trypsin
- Elastase
- etc.
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Qualities of serine protease
- The amide bond is very stable and difficult to break:
- Standard temperature/environment: half-life ~20 years
- Uncatalyzed: boil overnight in 6M HCl
- Catalyzed: protease activity at physiological pH and temp continually breaks down proteins
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scissile bond
covalent chemical bond that can be broken by an enzyme
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Substrate preference for chymotrypsin
aromatic hydrophobic residues
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Substrate preference for trypsin
Basic residues: Lys, Arg
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Substrate preference for elastase
- Ala, Gly, and Val
- but primarily Ala
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TEV protease
- Catalytic domain of the Nuclear Inclusion-A protein from tobacco etch virus (TEV)

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Factor Xa
Thrombin
- Coagulation cascade factors that enable blood clotting

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Enteropeptidase
- Intestinal enzyme that cleaves inactive forms (zymogenes) of other proteolytic enzymes (e.g. chymotryspinogene, proelastase)

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Oxyanion hole
- Filled by the tetrahedral intermediate, but cannot be accessed by the planar carbonyl of the amide bond
- Amide protons from Gly193 and Ser195 make 2 additional hydrogen bonds to the tetrahedral transition state leading to significant stabilization of the of the transition state
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Zymogens
Nonspecific proteases that are tightly controlled by their production in an inactive form that requires activation
Enzymes produced in their inactive forms
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Digestive Zymogens
Chymotrypsinogen, trypsinogen, and other zymogens are synthesized in the pancreas and secreted into small intestine
Intestinal enteropeptidase cleaves trypsinogen to start an activation cascade
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Digestive zymogen clinical interest
- Similar cascades are involved in blood coagulation
- Deficiency in one of these coagulation factor proteases that disrupts the activation cascade causes hemophilia (poorly clotting blood leading to profound bleeding)
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Bovine Pancreatic Trypsin Inhibitor (BPTI) peptide
- Competitive serine protease inhibitor
- Forms stable complexes with and blocks the active sites of enzyme
- Binding is reversible
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What does Bovine Pancreatic Trypsin Inhibitor (BPTI) inhibit
- Trypsin, chymotrypsin, but also plasmin and plasminogen activator involved in thrombolysis
- Used in surgeries as a drug (aprotinin) that inhibits thrombolysis
Side effects: blood clotting (thrombosis)
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Kinetics
- Study of reaction rates
- Simplest of reactions: S(reactant) -> P (product)
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Velocity (v)
- Reaction rate is equal to the disappearance of S and the formation of P over time (t)

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Enzyme-Substrate Complex equation
- E+S -> ES complex -> EP complex -> E+P
- With high [S], reaction is zero order with respect to S

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Simplification #1 of Michaelis-Menten Kinetics
- Formation of product is the rate limiting step, therefore ES complex is formed promptly and EP ignored

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Simplification #2 of Michaelis-Menten Kinetics
- If we only consider initial velocity (v0), at early time points P=0 and K-2=0

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Initial Velocity
- moles/second product formation at reaction initiation
- substrate is consumed as reaction proceeds, so [S] changes with time leading to an observed change in velocity

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Simplification #3 of Michaelis-Menten Kinetics
If [S]>>[E]t, so the fraction of S that binds to E (to form ES) is negligible, and [S] is constant at early points
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Simplification #4 of Michaelis-Mentin Kinetics
Steady-state assumption
- Since k2 is the rate-limiting step (k-1>>k2), the formation and breakdown of ES quickly reaches equilibrium and [ES] is constant
- v0=k2[ES]
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Vmax
When [S] is high, at saturation: [ES]~[E]tot, and maximum reaction velocity
vmax=k2[E]Tot
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Km (michaelis constant)
- Equilibrium constant that has units of concentration
- Km is the dissociation constant for the ES complex
- Km is the substrate concentration ([S]) at which v0=vmax/2
A large K m represents weak binding and a smaller K m represents stronger binding
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Under Michaelis-Menten conditions when [S]>>[E]
- The steady-state assumption is in effect change in [ES]/change in t=0
- k2 is the rate-limiting step and v0=k2[ES]
- At saturation: [ES]~[E]Tot, and maximum reaction velocity vmax=k2[E]tot
- Under these conditions:

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Lineweaver-Burk Plots
Also referred to as Double-Reciprocal Plots
- Use the Michaelis-Menten equation to form the line

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Basic lineweaver-burk plot
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kcat
- Catalytic constant: the turnover number or the number of reaction processes catalyzed per unit of time
- kcat=vmax/[E]Tot
Rxn is faster when k cat is higher
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What does kcat equal to under the Michaelis-Menten?
K2
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Specificity constant
- kcat/Km
- A good measure of catalytic activity because it takes into account the rate of catalysis (kcat) and the enzyme-substrate interaction (Km)
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What does a larger specificity constant mean?
Means the compound is a better substrate for the enzyme
Represents the ability of an enzyme to convert substrate into product
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ACD toxin of Vibrio Cholerae
- a non-michaelis-menten reaction
- ACD covalently crosslinks actin into non-functional species
- Also binds to one molecule of ATP and two molecules of actin
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Why do we care about inhibition?
- Allosteric regulation (metabolism, signaling, etc.)
- Drugs (e.g. antibiotics, anti-cancer drugs)
Can be reversible and irreversible
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Types of reversible enzyme inhibition
- Competitive
- Uncompetitive
- Noncompetitive
- Mixed
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Competitive enzyme inhibition
- The inhibitor competes with the substrate for binding to the enzyme active site
- Transition state analogs are very strong competitive inhibitors

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Uncompetitive enzyme inhibition
- Binds only after the substrate is bound
- Works best when substrate concentration is high
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Noncompetitive enzyme inhibition
- Binds to an allosteric site, does not affect affinity for a substrate

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Mixed enzyme inhibition
- Binds to an allosteric site, affects affinity for a substrate

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Irreversible enzyme inhibition
Irreversibly modify a catalytically important active site residue
Can be nonspecific and specific
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Targeted irreversible enzyme inhibition
Inhibitors can be targeted towards reactive groups with specific activity: DIPF (diisopropyl phospho-fluoridate, DFP, DIFP) reacts specifically with serine residues
In serine proteases, only one Ser is located in the active site and is sufficiently activated to react, other serine residues will not react
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Specific irreversible enzyme inhibition
- Irreversible covalent modification can be combined with substrate recognition to generate a specific irreversible inhibitor
- Also known as reactive substrate analogs
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Reversible enzyme inhibition
- Reversible inhibitors bind to an enzyme, but can be removed
- Each class effects enzyme kinetics differently
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Vmax in competitive inhibition
Will not change since high substrate concentrations will eventually out-compete the inhibitor for binding
- Inhibition is affected by the KI (the KD for the enzyme-inhibitor complex) and [I]
- -Smaller KI= tighter binding= more inhibition

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Product inhibition
- Where the product of the enzyme binds to the active site and down-regulates enzyme activity
- A common form of competitive inhibition (negative feedback)
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Alpha in competitive inhibition
The factor by which [S] must be increased to overcome the inhibitor
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Initial velocity equation in competitive inhibition
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Competitive inhibition graphs
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Lineweaver-Burk Plot for competitive inhibition including equation
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Methanol poisoning
Can lead to blindness and death but is treated with large amounts of ethanol
The ethanol out-competes methanol for binding to alcohol dehydrogenase, preventing the conversion of methanol to toxic formaldehyde
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Uncompetitive inhibition, the inhibitor binds directly (and exclusively) to the ES complex
Inhibitor affects the catalytic function of the enzyme, but does not perturb substrate binding to the enzyme (S binding is improved)
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Initial velocity formula for uncompetitive inhibition and graph
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Lineweaver-Burk Plot and equation for uncompetitive inhibition
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- Mixed and noncompetitive inhibition
- The equilibrium distinguishes noncompetitive and mixed inhibition
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Mixed inhibition graph
Special case where Km with inhibitor=Km without inhibitor is noncompetitive inhibition
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Lineweaver-Burk Plot for noncompetitive inhibition and equation
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