Midterm 2 BIOC 202 Flashcards
rate of reaction
Given A -> P
We can measure the rate of reaction (i.e. velocity) as either the disappearance of substrate A over time or the appearance of product over time
I.e. reaction rate = V = -△A/△t = △p/△t
Note V is usually expressed in moles/unit time or M/unit time
V = k[A]
If we measure the disappearance of A, the rate is directly related to [A]
V = k[A]
Where k is a rate constant (NOT an equilibrium constant)
Rate constant: proportionality constant that relates rate to [S] at a specific temperature
This is known as a first order reaction and usually has units of S-1
second order reactions
2A -> P Where V = k[A][A] = k[A]2 Or, A + B -> P Where V = [A][B] Second order reactions usually express k as units of m-1 sec-1
Michealis-Menten curve and equation
In a series of separate tubes, take a fixed amount of enzymes and with different amounts of substrate
Then, measure the amount of product formed vs. time
Velocity is the slope of this curve
We see that there is a threshold where [P] no longer changes with time -> the curve plateaus
This is due to product reaching equilibrium (mixture of [S] and [P]) with the substrate
How can we relate reaction rate (velocity) to [S]?
To make the math easier, assume to obey Michaelis Menten kinetics:
- We only examine early times in the reaction where [P] is low.
Therefore, we can ignore the reverse reaction - [S]»[E], thus we can assume [ES] doesn’t alter [S] -> accurate for biological situations
- A steady state exists such that the rate of [ES] formation = rate of [ES] consumption
calculate an initial velocity (Vo) from Michealis-Menten curve and equation
For each [S] in fig 6-11, as the slope of the curve at the early times/beginning of reaction (when it is linear)
Note the units of Vo would be the change in the concentration of product/change in time, in this case um/min
This can be graphed as Vo vs. substrate concentration [S] (Fig. 6-12)
Vo is the fastest given curve on Fig 6-11
MUST HAVE STEADY STATE- > for michaelis menten curve
When [S] is low, the curve is linear
As [S] gets higher and higher, the curve begins to plateau -> saturating the enzyme
Michealis-Menten curve observation
We observe a hyperbole curve such that low [S], Vo is linear [S], but as [S] increases, Vo levels off
Michaelis-menten equation
Vo = Vmax([S]/([S] + Km))
Where:
[S] : substrate concentration
Vo: initial velocity (rate of reaction)
Vmax: the maximum velocity of the rection
I.e. when all of the active sites are saturated with substrate
Km: Michaelis constant
the substrate concentration at which the enzyme catalysed reaction proceeds at ½ its maximum rate
Also a rate constant equal to: (K-1 + K2)/ K1
Michealis-Menten curve and equation
When [S] «_space;Km
when [S] «_space;Km, we can say Vo = Vmax( [S] / Km )
Or, Vo = Vmax/Km ([S])
Both Vmax and Km are constants
(note that Vmax does change for different enzyme concentrations)
Vo is directly proportional to [S] when [S] is very low
Michealis-Menten curve and equation
When [S] = Km
When [S] = Km -> Vo = Vmax(½)
Vo = Vmax (Km/(Km + Km))
Michealis-Menten curve and equation
When [S]»_space; Km
Vo = Vmax ([S]/[S])
I.e. the enzyme is substrate and the velocity is independent of [S] when [S] is very high
Km
Km is an important characteristic of an enzyme catalysed reaction
It provides a measure of [S] required for effective catalysis to occur
The higher the Km, the less sensitive the enzyme is to the substrate -> need more of the substrate reach Km
The lower the Km, the less [S] needed for enzyme activity -> better in most cases
It is a rate constant and doesn’t change with enzyme concentration
Putting it another way: it tells us how sensitive the enzyme is to its substrate
(i.e. the higher the Km, the less sensitive the enzyme is to a substrate)
Km is dependent on the enzyme, the type of substrate, pH, temperature, and ionic strength (how much salts there are)
Vmax
the maximum rate of enzyme catalysed reaction when all active sites are saturated with substrate
It does change with enzyme concentration
I.e. as [E] increases so does Vmax
We need a way to standardise Vmax with respect to [E], so we can compare different enzymes
This is where Kcat comes in
Kcat
Kcat: the maximum amount of substrate an enzyme can convert into product in a given time (maximum rate of enzyme)
Technically measured in min-1 or sec-1
But could say molecules of substrate converted [S] to product [P] per minute per molecule of enzyme (active site of enzyme)
Note: Kcat is the maximum rate per enzyme active site when the active site is saturated
Kcat: turnover number = K2 (rate constant)
Kcat = Vmax/[E]T
Where [E]T = number of active sites
Standardising Vmax to the [E] -> Vmax becomes independent of [E] by dividing by [E]T
Why not just [E]? - because some enzymes contain more than one active site
How can we calculate Km and Vmax (and thus Kcat)?
- Provided in tables - look it up
2. Use the Lineweaver Burk plot (aka double reciprocal plot)
Lineweaver Burk plot (aka double reciprocal plot)
This is the inverse of the Michaelis-Menten equation -> slope is Km/Vmax
1/Vo = 1/Vmax + (Km/Vmax)(1/S)
Y = b + m(x) -> linear equation => Lineweaver Burk Plot
we can calculate: 1/Vmax (y-intercept) and -1/Km (x-intercept)
Not all enzymes obey Michaelis-menten kinetics
Irreversible Inhibition
(usually covalent bonds or so many weak interactions) inhibitor that stays bound to an enzyme for long periods of time
Usually binds to and blocks the active site - should resemble substrate
E.g. penicillin (antibiotic) - structure of penicillin resembles/mimics the substrate of glycopeptide transpeptidase (GPT) D-ala-d-ala-peptide
GPT catalyses the final step in the synthesis of bacterial peptidoglycan cell walls
Penicillin binds in the active site and forms a covalent bond with a key serine residue in the active site -> blocks original substrate from binding
Reversible inhibition
and its 3 classes
the inhibitor associates and disassociates with the enzyme rapidly Grouped as 3 classes: 1. Competitive inhibitors 2. Noncompetitive inhibitor 3. Uncompetitive inhibition
Competitive inhibitors
the inhibitor binds to the active site and competes with the substrate for it
Only one can bind the active site at a time
most common
Catalysis is slowed as there is less ES
Adding the inhibitor increases Km (more [S] to reach Vmax) but Vmax remains unchanged
Competitive inhibitors can be overcome by adding more and more substrate as Vmax remains the same
The inhibitor resembles the substrate
E.g. methotrexate- anticancer drug and makes DNA base T
Methotrexate binds 1000x better than Dihydrofolate by competitively inhibiting dihydrofolate reductase (needed to synthesise nucleotides)
Competes with substrate (dihydrofolate) -> give cancer patient as methotrexate almost to the point of killing the patient
Methotrexate and Dihydrofolate looks very similar
Noncompetitive inhibitor
binds to the enzyme at the allosteric site (does not block active site) and alters the enzyme
The substrate can bind but the products are not formed because the noncompetitive inhibitor alters the shape of active site
Cannot compete by adding more substrate
The substrate is no longer perfectly complementary to the active site
Km does not change but Vmax decreases
In effect you are lowering the number of functional enzymes
E.g. low dose doxycycline can non-competitively inhibit collagenase
The remaining enzymes still have the same Km
Uncompetitive inhibition
(rare) inhibitor binds to the ES (enzyme-substrate) forming an ESI, preventing formation of product
Like noncompetitive inhibition, this results in a decrease in Vmax (i.e. lowering number of function enzymes)
Km is also decreased because as ES -> ESI, [ES] decreases -> Enzyme appears to be more sensitive to the substrate -> promotes increased substrate binding to the enzyme (ES formation), lowering Km
Chymotrypsin functions
a serine protease in the small intestine
Proteins need to be cleaved rapidly and specifically
1. Protein turnover - repairing/replacing damaged protein
2. Digestion - must break proteins down into amino acids when we eat
3. Activation or inactivation of enzymes
4. Formation of multiple polypeptides from a single one
Proteases cleave peptide bonds by _____ BUT peptide bonds are stable due to ____
hydrolysis; resonance
the carbonyl carbon is less electrophilic (i.e. less δ+) and not as reactive as a regular carbonyl so you need a…
strong nucleophile -> slow cleaving reaction
what is Chymotrypsin and what does it do?
(a serine protease in the small intestine) cleaves peptide bonds on the C-terminal side of large hydrophobic aa residue
Such as Phe, Trp, Tyr, Met (similar Km but each will have its own unique Km)
Does not recognize small aa because they do not get enough interaction to stay long enough in the active site -> Km for small hydrophobic aa would be much higher compared to bigger aa
Chymotrypsin aa residue numbering (primary structure) reflects the numbering as ..
a single polypeptide (even though the enzyme has been cut into 3 pieces) -> keeps original numbering
Chymotrypsin is composed of
It is composed of 3 chains formed by the cleavage of a single polypeptide (tertiary structure)
With a highly reactive serine (S195) in the active site that can act as a strong nucleophile
Chymotrypsin amino acid residue numbering (primary structure) reflects the numbering as a single polypeptide even though it has been cut into 3 pieces)
brief mechanism of chymotrypsin
- O^δ- on the serine is thought to attach the carbonyl, cleaving the peptide bond and forming an acyl enzyme intermediate (one of the products is attached to the enzyme via covalent bond)
- The intermediate is cleaved by water (i.e. water is acting as a nucleophile) to generate a new carboxyl group and the free enzyme
chymotrypsin
Tertiary structure shows that S195 can H-bond to the..
imidazole ring of His57 (good buffer - good at being a proton donor and acceptor)
This positions S195 and polarises the hydroxyl group (it has alkoxide ion character -> becomes more negative)
The His is acting as a base catalyst because it is pulling the proton away from S195
Asp102 can also H-bond with
His57, positioning His57 and making it a better proton acceptor
the catalytic triad
Asp102, His57, and Ser195
overview of chymotrypsin mechanism (7 steps)
- Substrate binds the active site
- The alkoxide ion (O-) on S195 does a nucleophilic attack on the carbonyl carbon of the substrate
- The tetrahedral intermediate rearranges to the acyl intermediate
- A water molecule enters the active site and His57 H-bonds with it, making the water hydroxide-like (reactive)
- Water’s oxygen (O^δ-) acts as a nucleophile, attacking the carbonyl carbon
- The tetrahedral anion intermediate rearranges, reforming the carbonyl and separating the product from serine195
- The new carboxyl peptide leaves and the enzyme is ready to catalyse another reaction
chymotrypsin mechanism
step 2
The alkoxide ion (O-) on S195 does a nucleophilic attack on the carbonyl carbon of the substrate
This causes the carbon to transiently adopt a tetrahedral geometry, forming an oxyanion tetrahedral intermediate
Note: the His57 acted as a base catalyst to facilitate this
This oxyanion is stabilised by H-bonds from the enzyme backbone (specifically Gly 193 and Ser 195) in the oxyanion hole
chymotrypsin mechanism
step 3
The tetrahedral intermediate rearranges to the acyl intermediate
The carbonyl reforms and the peptide bond is cleaved
His57 acts as an acid catalyst donating the proton to the amine group to promote this (the collapse of the tetrahedral intermediate)
The new amino peptide fragment leaves the active site
The cleavage reaction of chymotrypsin does not stop here because One product is still bound to serine195
Next series of steps are almost identical to the previous steps except different nucleophile and bond to be cleaved
chymotrypsin mechanism
step 5
Water’s oxygen (O^δ-) acts as a nucleophile, attacking the carbonyl carbon
His57 acts as a base catalyst stealing the proton from water, forming another short-lived tetrahedral oxyanion
chymotrypsin mechanism
step 4
A water molecule enters the active site and His57 H-bonds with it, making the water hydroxide-like (reactive)
chymotrypsin mechanism
step 6
The tetrahedral anion intermediate rearranges, reforming the carbonyl and separating the product from serine195
His57 acts as an acid catalyst, donating the proton back to serine 195
A “new” carboxyl peptide and free Ser 195 OH are generated
chymotrypsin mechanism
step 7
The new carboxyl peptide leaves and the enzyme is ready to catalyse another reaction
Note: His57 acts as both an acid and a base catalyst
chymotrypsin mechanism
This is how the peptide bond is cleaved but how is the enzyme specific?
The active site contains a deep hydrophobic pocket (Aka S1 Pocket) -> lined with 2 hydrophobic residues: Trp, Met
Large hydrophobic groups can bind to the pocket
The catalytic triad mechanism for cleaving peptide bonds can be found in other proteases
Some are similar in structure to chymotrypsin
E.g. trypsin and elastase have very similar structures to chymotrypsin -> come up with new enzymes by changing the pocket
The active site contains a deep hydrophobic pocket (Aka S1 Pocket) -> lined with 2 hydrophobic residues: Trp, Met
Trp’s Nitrogen is pointing away from the pocket so the pocket is a deep hydrophobic pocket
Target peptide must be partly unwound -> pulled through active site if hydrophobic residue comes and gets into the pocket, it stops long enough to do the mechanism cleavage
their substrates vary due to changes in the S1 pocket
- trypsin
Trypsin has an Asp189 at the bottom of the pocket, adding a negative charge and binds positively charged amino acid residues such as Arg and Lys
Trypsin does not cut C-terminals of large hydrophobics, Trypsin cuts C-terminal to large positively charged amino residues
their substrates vary due to changes in the S1 pocket
- elastase
Elastase has 2 valines in the sides of the S1 pocket, which narrows the pocket and only SMALL hydrophobic residues can bind (e.g. alanine, valine)
Other serine proteases do not have structures similar to chymotrypsin but use the same catalytic mechanism
e.g. protease
3 key aa in active site: Ser, His, Asp (catalytic triad)
There are 3 other groups of proteases:
- Cysteine proteases
- Aspartyl proteases
- Metalloproteases
Metalloproteases
They use a metal to make water a better nucleophile Matrix metalloproteases (involved in disease characterised by gum tissue breakdown)
Aspartyl proteases
Uses 2 aspartyl groups to make WATER a strong nucleophile
The 2 aspartyl suspend the water and kind of play tug-a-war
E.g. HIV’s protease is an aspartyl protease
Cysteine proteases
Uses cysteine as a nucleophile
E.g. COVID-19 main protease (SARS COV-2) - drug tries to inhibit this protease
why do we need Hb?
O2 is not soluble enough to supply enough in the blood to supply all tissue
So red blood cells (RBCs) use Hb to carry O2 from the lungs (increase [O2], decrease [CO2], pH 7.4) to a working tissue (decrease [O2], increase [CO2], pH 7.2)
Production of CO2 will lower pH
Hb is perfectly suited to transport O2
Hemoglobin structure
a heterotetramer consisting of 2𝛂 2𝜷 subunits (i.e. 𝛂-globin & 𝜷globin -> dimer-dimer)
Alpha subunit is 144 aa 7 𝛂-helices
Beta subunits is 146aa 8 𝛂-helices
Share similar structure and sequences -> may have evolved from one another
Arranged in 2 𝛂𝜷 subunits
Hemoglobin
Arranged in 2 𝛂𝜷 subunits
𝛂1𝜷1 interface -> interfaces are very stable with many weak interactions
𝛂2𝜷2 interface
𝛂1 and 𝛂2 are identical
𝛂1𝜷1 - 𝛂2𝜷2 -> interface has few weak interaction - more labile
Most of the interactions that allows Hb to function as an O2 transporter are happening in this interface
A lot of what haemoglobin does occurs in that interface
heme group
Each Hb subunit contains 1 heme group -> This is where the O2 binds
1 hemoglobin molecule can bind 4 oxygen molecules
Heme is made up of a protoporphyrin ring with a Fe2+ in the ring centre
Fe2+ has 6 coordination sites
The four are occupied by nitrogens from the ring
The 5th is occupied by a nitrogen below the ring
The 6th is above the ring and is where the O2 binds
When the 6th site of the heme group is empty
the iron sits a little outside the ring (too big to fit)
When it binds O2 to Hb
When it binds O2, the electron density changes and the iron “pops” into the ring -> pulls the histidine towards the ring
The histidine is attached to the alpha-helix, so in turn the alpha helix moves, disrupting and forming interactions in the a1B1 - a2B2 interface
Histidine is part of an alpha-helix -> when histidine moves, the alpha helix moves with it
This small conformational change increases the other hemes ability to bind O2 by shifting the equilibrium towards the high affinity state (R state)
Hb binds O2 cooperatively
Hb with 3 O2 bound has a 20x greater affinity for O2 than when no O2 is bound
aka allosteric interaction: change in shape or activity of a protein (enzyme) that results from the binding of a molecule at a point other than the active site
As Hb binds O2, its affinity for O2 increases
The O2 bound active site of heme groups are acting as an allosteric site because they are altering the other heme groups ability to bind O2
As more and more O2 binds to Hb….
the a1B1 dimer rotates relative to the a2B2 dimer by approximately 15% (big twist/conformational change)
The crystal state of hemoglobin will shatter when they switch from T to R state due to the dramatic conformational change
As more and more O2, shifting equilibrium/increasing amount of time in R state
Hb has 2 major states:
T state: untwisted deoxyHb (with low affinity for O2)
R state: twisted oxyHb (with high affinity for O2)
How does Cooperative binding of O2 help with hb transport of O2?
Cooperative binding illustrated in the O2 binding curve below
X-axis: partial pressure of O2 in the blood = [O2] in blood
Lungs operate at ~100 torr
Working tissue that is actively metabolising is ~20 torr
Y-axis: fractional saturation of Hb = # of heme sites that have O2 bound/ total amount of heme sites available
1.0 = every heme site has O2 bound
If we want to measure how much O2 is transported from lungs to tissue => difference in saturation of O2 in lungs and tissue is the amount of O2 transported/released to tissue from the lungs