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Chemical reaction in cells are often coupled
Glucose + Pi Glucose-6-phosphate
(requires input of energy, endergonic)
ATP ADP + Pi
(releases energy, exergonic)
Reaction 1-
Reaction 2-
Reaction 1 + Reaction 2-Glucose + ATP Glucose-6-phosphate + ADP
(releases energy, exergonic)
Biochemical reactions are generally parts of metabolic pathways
Each step may not be energetically favorable, but the overall pathway must be exergonic
Biochemical reactions are generally parts of metabolic pathways
Each step may not be energetically favorable, but the overall pathway must be exergonic
Most small molecules are synthesized using such pathways
Living organisms are broadly divided into two categories
Eukaryotes(contain a nucleus)
and
Bacteria(no nucleus)
~50 m
Bacteria lack a nuclear membrane and are relatively simple
Cell envelope: Contains cell walland membrane(s)
Gram positive:one membrane
A hydrogen bond is formed through electrical interaction between an atom covalently bonded with a hydrogen and which is more electronegative than hydrogen, and another atom that has a partial negative charge.
Despite their diversity, all proteins are made from 20 commonmonomeric units called amino acids
Amino acids are carboxylic acids CO
OH
H
2
and contain an amino group
There is delocalization of electrons along the peptide bond
This creates, 1. An electric dipole moment within the peptide unit
Most enzymes are proteins
The exceptions are a handful RNA molecules that can act as enzymes
They are called ribozymes
Consequently, the rate of an enzymatic reaction is highestwhen the enzyme is “saturated”
[E] is constant
Rat
e
Maximumvelocity
Enzymes are often aided by metals
Enzymes that use metals (other than Na+ and K+) are calledmetalloenzymes
Energetics of enzyme action
S (substrate) P (product)E (enzyme)
Keq =[P][S]
Keq is equillibrium constant
(Molar concentrations)
Keq =[P][S]
Keq is equillibrium constant
ΔG' 0 =−RT lnKeq'
G is Gibbs free energy, G’0 is change in Gibbs free energyunder the following conditions: Temp 37°C (298 °K), pH 7.0,1M reactantsR is Gas constant (8.3 J/mol or 2 Cal/mol)
All but the last condition is always satisfiedWe may drop the superscript “’” and “0”, but it is always assumedto be present
E+S↔ ES→ E +Pk1
k-1
k2
Michaelis-Menten kinetics
Assumptions: 1. There is a constant amount of enzyme-substrate complex during the course of the reaction
Also known as- Steady-state kinetics
Constant
E+S↔ ES→ E +Pk1
k-1
k2
Michaelis-Menten kinetics
Assumptions: 2. There is no reverse reactioni.e. the reaction is irreversible
Also known as- Steady-state kinetics
If you multiply both sides of the equation with k2 then...
k2[ES]=k2[ET ][S]Km +[S]
k2[ES] = v (velocity of the reaction)k2[ET] = k2[ETS] = vmax (the maximum velocity of the reaction)
∴ v=vmax[S]Km +[S]
Michaelis-Menten Equation
Turnover number (kcat) is defined as
kcat = vmax/[ET]
This defines the rate of catalysis per enzyme molecule
Turnover number (kcat) is defined as
kcat = vmax/[ET]
This defines the rate of catalysis per enzyme molecule
Specificity constant is defined as
kcat/Km
Other ways of regulating enzymes
1. Allosteric control
An enzyme is said to be regulated allosterically when a molecule binds to a site other than the active site and modulates enzyme activity
2. Covalent modifications
Enzymes are often (reversibly) covalently modified to changethere activity
3. Proteolytic cleavage
Some enzymes are activated by proteolytic cleavage
Example of activation: Hemoglobin
Fra
ctio
n of
bin
ding
sit
es
occ
upie
d
Sigmoidal shape ischaracteristic ofpositive allosterism
Negative regulation of biochemical pathwaysis often allosteric
Threonine dehydratase is negatively regulated by L-isoleucine
Feedback Inhibition
Purification of proteins
1. Size Exclusion chromatography (aka Gel Filtration)Separation of proteins by size
Larger (bigger) proteins are “excluded” and go through faster
Smaller proteins are retained by the beads and go through slower
Ion-exchange chromatography
In a cation exchanger, thepositively charged proteins will tend to stick to the column and move slowly through the column.In contrast, negatively charged proteins will move faster through the column
Opposite is true for the anion exchangers.
2. Analysis of the subunit composition of the protein
A. Determination of MW by Gel filtration Chromatography
RelativeElutionVolume
+
++
++
++
++
+
Log MW
Proteins with known MW
Larger proteins elute first (in smaller elution volume)
B. SDS-Polyacrylamide Gel Electrophoresis (SDS-PAGE)
S
O
O
-O O (CH2)11 CH3Na+
Sodium dodecyl sulfate
Polyacrylamidematrix
Breaks disulfide bridges
HOH2C CH2SH
2-mercaptoethanol
Tryptophan (May be accounted for by UV absorbance)
Gln Glu
Asn Asp
O
NH2
Acid HydrolysisO
O-
Hence,Amt. of Glu (by acid hydrolysis) = Amt. of Glu + Amt. of GlnAmt. of Asp (by acid hydrolysis) = Amt. of Asp + Amt. of Asn