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ligand? alternate name
binding site? 2 alternate names
small mC that binds to a protein
substrate
protein region where ligand binds
active/catalytic site
3 aspects of ligand binding
what are they
why are they important for life.
What causes ligand binding to be T.?
specificity
allows specific functions
reversible = A+B <-> AB
allow cells to be dynamic
transient = short-lived bc ligand binds via same noncovalent forces as sec/tert protein structure
allows cells to be dynamic
the reversible/transient protein-ligand chemical reaction
L + P <-> LP
Kd: what is it
theta: what is it
[P]: what is it
[L]: what is it
[PL]: what is it
what are the units?
Dissociation Constant = ratio of (dissociated protein) + (dissociated ligand) / (protein/ligand complex)
theta = point at which 50% (.5) of ligand is bound to protein
[P] = concentration of dissociated protein
[L] = concentration of dissociated ligand
[PL] = concentration associated protein/ligand complex
units except for theta are M (molar)
theta expressed as a %
Kd = ? = ?
Ka = ?
theta = ? = ?
Ltotal = ?
what about normally?
Ptotal = ?
Kd = ([P][L]) / [PL] = 1/Ka
Ka = 1/Kd
theta = [L] / ([L]+Kd) = [PL]/[Ptotal] = 50%
[Ltotal] = [PL] + [L]
when [L] » [P] (normally), [Ltotal] = [L]
[Ptotal] = [PL] + [P]
smaller Kd affect on affinity
higher affinity = tighter binding
Ligand binding graphical analysis:
what equation makes the curve
where is theta, Kd, and [L]
theta = [L] / ([L] + Kd])
![<ol><li><p>theta = [L] / ([L] + Kd])</p></li></ol><p></p>](https://assets.knowt.com/user-attachments/94f1c659-1512-4505-9c06-e071b6b754a9.png)
Ligand binding graphical analysis:
what variable determines the shape of the curve?
what is the relationship between that variable, the shape, and a proteins binding affinity?
how does a higher kd or a higher affinity protein look on the graph
Kd determines the shape
smaller Kd = steeper line = higher affinity (higher [L] needed for theta = 50%)
higher Kd = more horizontal line = lower affinity
![<ol><li><p>Kd determines the shape</p></li><li><p>smaller Kd = steeper line = higher affinity (higher [L] needed for theta = 50%)</p></li><li><p>higher Kd = more horizontal line = lower affinity</p></li></ol><p></p>](https://assets.knowt.com/user-attachments/b24ff951-b485-429f-91e8-1ffe99a3cb9f.png)
when theta = ½ or 50%, what are Kd and [L]
when theta = 50%, Kd = [L]
Kd is the ligand concentration when ____
half the ligand is bound (theta = 50%)
why don’t we use proteins, transition metals, or organometallic compounds like free heme as oxygen binders?
what is the body’s solution?
1a. protein side chains lack O2 affinity
b. transition metals can bind O2 but make free radicals
c. organometallics like free heme can bind O2 but can be oxidized into Fe3+
1a. O2 mC captured w/ protein-bound heme = hemoglobin
hemoglobin v myoglobin:
what purposes?
what Kd and why
myoglobin = O2 storage protein = low Kd to bind tight
hemoglobin = O2 transport = low AND high Kd depending on environment
what type of protein is heme?
2 part structure?
how many valences and what do they bind in myoglobin?
metalloprotein
Fe2+ contained in center of 4 planar pyrrole ring groups
2 valances open in free heme: 1 binds F helix Histidine, one binds Oxygen
4 parts of Myoglobin and how they bond?
His of F helix bonds one of the valences of Fe2+ in heme
other Fe2+ valence bonds O2
His of E helix bonds w/ the same O2
2 reasons carbon monoxide poisoning happens
CO similar size/shape to O2, but binds Fe2+ valence in heme w/ much stronger affinity
competes w/ O2 and blocks hemoglobin, myoglobin, and mitochondria
oxygen binding graphical analysis:
what equation governs it?
where are the 3 variables? units?
how do they relate to the ligand binding graph variables?
why is myoglobin a good storage molecule
theta = pO2 / (pO2 + P50)
P50 is like Kd but a pressure bc O2 is gas = kPa
pO2 is like [L] = kPa
low P50 so high affinity = won’t give it up
![<ol><li><p>theta = pO2 / (pO2 + P50)</p></li><li><p>P50 is like Kd but a pressure bc O2 is gas = kPa</p></li><li><p>pO2 is like [L] = kPa</p></li><li><p>low P50 so high affinity = won’t give it up</p></li></ol><p></p>](https://assets.knowt.com/user-attachments/152ca530-5b59-47ab-b7f9-25c431affc7e.png)
hemoglobin v. myoglobin structure:
why can hemoglobin bind 4 O2 Mcs?
hemoglobin tetramer 4 subunits
each subunit looks similar to myoglobin
myoglobin can bind 1 O2 (other valence binds His)
hemoglobin has 4 subunits, so it can bind 4
sigmoidal binding curve = ?
why is hemoglobins curve sigmoidal
sigmoidal = switch = cooperativity (whether positive or negative)
O2 binding causes switch between 2 states
high affinity state (for O2 uptake)
low affinity state (for O2 release)

cooperativity
allostery
which protein exhibits both?
binding of one ligand allows others to bind
ligand binding either helps another ligand bind or inhibits another from binding
hemoglobin
O2 binding → T and R states
lungs =
tissue =
lungs = load = high affinity
tissue = let go = low affinity
T (Tense) hemoglobin v. R (Relaxed) hemoglobin
# stabilizing ion pairs
HisHC3 ion-paired (protonated)
Fe in or out-of-plane
affinity of O2
deoxy or oxyhemoglobin
T more stable / ion pairs
T protonated
T out of plane
T low affinity
T deoxy
what reaction is responsible for T state?
what is normally responsible for R state?
what reaction goes from T to R?
cooperatively/allostery?
protonated His HC3 moves Fe2+ out of plane and this conformation messes O2 binding up
in phase Fe stabilizes R state
O2 binds one subunit → allotteric conformation changes in plane→ Fe more likely to bind more O2’s
cooperative binding / positive allostery
Hill Plot:
what does it help us do?
What is nH?
How is nH expressed on the graph?
what does hemoglobin’s plot look like?
how does nH value affect hemoglobin cooperativity and structure/state?
tells us whether there is + or - cooperatively?
Hill coefficient = measures cooperativity
nH is the slope of the protein’s plot
sigmoidal
nH > 1 = cooperativity = O2 binding changes structure to allow more binding = R state
nH = 1 = no cooperativity = T state
nH < 1 = negative cooperativity = wrong mC binding changes structure to inhibit more binding

what causes hemoglobin hill plot shape
what causes nH (slope) increase on hemoglobin hill plot?
sigmoidal binding curve
changes between high affinity and low affinity states
2 steps how does CO2 modulate Hb affinity for O2?
how does CO2 amount affect:
acidity
O2 binding curve
more/less tense?
CO2 ionizes in water to give protons = more acidic
H+ transport by protonated His HC3 stabilizes T state
more CO2 = more acidic = shift to the right = more tense
Less CO2 = less acidic = shift to the left = less tense
Bohr effect
Bohr state?
changes in blood acidity and CO2 concentration affect Hb’s ability to bind/release O2
when Hb’s His HC3 is protonated by CO2 protons + salt bridges from - carbamate = tense state
2(3) ways CO2 effects Bohr effect/tense state
ionizes in water → HisCH3 protonation → T state
carbamate bonding releases a proton → more HisCH3 protonation → T
(-) carbamate forms salt brdges → T state
2,3 bisphosphoglycerate (BPG):
what does it do to Hb?
effect on binding curve?
role in altitude acclimatization
ion pair binds and stabilizes T state
shifts to the right
body produces BPG to facilitate O2 release in low oxygen environment
sickle cell homozygous v. heterozygous
homo = AA mutation causes subunit interactions, forms long fibers that deform cell shape and clog capillaries
heterozygous “sickle cell trait” = may confer malaria resistance
Fetal Hb:
what does it need and effect on curve
needs more O2
shifts to the right
6 things that shift O2 binding curve to the left
high pH (more basic) = less CO2
low temp
low 2,3-BPG
methemoglobinemia
carboxyhemogolbinemia
high O2 affinity hb variants = Fetal Hb
4 things that shift O2 binding curve to the right
low pH (more acidic) = more CO2
high temp
high 2,3 BPG
low O2 affinity Hb variants