Bionanotechnology Format lecture discussion lots of questions will aim to have students present segments of papers in each class 25 homework 1 every 23 classes to learn ID: 777381
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Slide1
MAE 6291
Biosensors and
Bionanotechnology
Format lecture, discussion,
lots of questions
will aim to have students present
segments of papers in each class (.25)
homework
~
1 every
2-3
classes to learn
how to use what we cover (.25
)
and help analyze papers
occasional
demonstrations – e.g. ELISA,
fluorescence microscopy,
pcr
take-home midterm exam (.25)
take-home
final exam
or student presentation (.25)
Slide2Goals –
1. learn about nanotechnology-based biosensors
molecules (
analytes
) detected
molecules used to provide specificity
transducing
modalities (light, mass, electricity)
assay formats (sandwich, labels, label-free)
processes affecting time to get signal
(diffusion,
binding kinetics)
and
sensitivity
multiplex
methods (e.g. hybridization arrays)
massively parallel DNA sequencing methods
clini
cal
significance of assays
More Goals
2
. Quantitative understanding of relevant
nanoscale
processes and phenomena
, including Brownian
motion, reaction kinetics, mechanical properties of
biopolymers like DNA at the single-molecule level
3.
Understand how some subcellular biological systems, like
molecular motors, transduce chemical energy
into motion
4. Appreciate overlap between engineering and biology
5
.
Gain experience reading
research papers critically
Slide4Contact info:
jesilver@gwu.edu
,
tel
240 447 3268
set up time to meet for office hours
Much better to meet often to go over questions early
References
for class 1
Philip Nelson Biological Physics
Ch
1, 1.4-1.5
Dimensional
analysis, molecules pp. 18-29
Ch
2, 2.2 Molecular
Parts List, pp.45-62
.
Slide5Molecules
(things) to be
detected and how they interact
ions
small
molecules (MW < 600g/mole=10
-21
g,
or ~50 atoms – e.g. glucose)
peptides – short string of amino acids
proteins
– string(s) of up to ~1000 amino acids
viruses - ~1000
+
proteins + NA genome (>10
4
bases
)
oligonucleotides – short string of nucleic acids = bases A, G, C, T (U) – joined via sugar-PO
4
nucleic
acid
sequence
Slide6Ions – e.g. Na
+
, K
+
, Mg
++, Cl-, PO4— typical size?In solution: typical concentration, 1-100mM units: 1M = NA/liter = 6x1023/10-3m3 how many is that /cm3 or ml? how far apart are they?Why do they move?How will they be distributed near charged objects?Typical distances over which fixed charges are shielded Debye length =.3nm/I1/2 (I in M)What does this mean in terms of electrostatic interactions?
Slide7Small molecules – e.g. sugars,
<
100 atoms, size? (
~1
nm)
What is significance of glucose in biology/medicine?Diabetes – does it go up or down? problems if it goes up problems if it goes downH, O, C = hydrogen, oxygen, carbon atoms, etc.Vertices = C atoms (understood)Lines = covalent bonds strength ~eV (1.6x10-19J)
Slide8More on units
Molecular weight = weight of N
A
(6x10
23) molecules (=1 mole) in gramsH has molecular weight =1g/moleC “weighs” 12 g/mole“Small” molecules defined as above have MWs ~ or <500
Slide9Aside on energy scales
molecules always jiggling in water
Average energy of molecule
, each “mode” of
interaction, e.g. translation, vibration between atoms = kBT (4x10-21J at room temp = 1/40th ev)Do all molecules have average energy in solution?What is probability that a molecule has energy E? Boltzman distribution: p ~ exp(-E/kBT)
Slide10What is relative probability that a sugar
molecule
hit by a
particularly energetic water molecule
at room temperature will get enough energy to break a covalent bond? p ~ exp(-40kBT/kBT) = 10-18So are covalent bonds usually stable at room temp.?
Slide11Another class of small
molecules
All
NH
2
-CHX-COOH side groups X differ some have + or – charge others partial charge others hydrophobic “greasy”-> weak interactions (~kBT) w/ other molecules
Slide12Protein = linear polymer of amino acids (
aa
)
chains from
a few
(“peptide”) to ~1000 aa long MWs ~100,000 g/mole (aka “kiloDalton”, kDa)Protein polymers “fold up” into fairly compact units ~10nm, based on weak interactions between amino acids
Slide13Some proteins fairly rigid = “fixed” structure
often known from crystallography
Others don’t crystallize, probably “floppy”
(or have parts that are floppy) in solutionSome have a few, alternative “rigid” shapes (important!)Surface distribution of charged, polar (partially charged), hydrophobic, etc groups -> specific interactions with other moleculesNote how different from usual physics – gazillions of identical electrons interacting uniformly
Slide14Glucose
oxidase
~
600
aa protein enzyme that binds and oxidizes glucose. Ribbon model of its aa backbone, por-tions of which form helices. Note size, complexity relative to glucose, a simple sugar typical of small molecule targets
~ 3 nm
Slide15Model of
a particular protein
showing charged
surface regions (red -, blue +), and some drug molecules
in binding pockets. Note complexity of surface
allowing complex interaction with other moleculeshttp://www.pnas.org/content/104/1/42/F6.expansion.html
Slide16Proteins can interact forming larger polymers
(of polymers) –> structural elements like
f
ibers of collagen or microtubules (~25nm in
d
iameter, microns long)Proteins also can act as enzymes, “catalyzing”chemical reactions that break and reformcovalent bondshttp://upload.wikimedia.org/wikipedia/commons/2/24/Induced_fit_diagram.svg
Slide17Antibody – class of
proteins with common
structure: region
that is invariant and
region that varies a lot
(in different ab’s), thelatter having high, specificaffinity for some othermolecule (antigen, ligand)Nature’s “professionalbiosensor” molecule
Slide18Ball and stick m
odel of
crystal structure of portion
of
antibody (left) binding protein from
HIV (green, right). Variable region ofantibody (purple)Antibodies are most common moleculesused to make bio-assays specificAntibodies to particular antigens can be generated inanimals, then made in large quantities in vitro
Slide19Base pairing –
at edges –
holds strands
together; each
bp
= weak bond(~1 kBT) but runsof complementarysequence ->tight binding; canbe used for specific
recogni
-
tion
of NA’s with
compl
. sequence
Nucleic
acids – polymers of “bases”
Slide20Biological Macromolecules - DNA
Base pairing –
at edges –
holds strands
together
Base stacking –above & below -compressesds into helixBoiling separatesstrands
RNA – like DNA, except OH at 2’ position, and
Uridine
for Thymine
Slide21Single-stranded (
ss
) nucleic acids (NA’s) often
used to detect complementary
ssNA’s
because of incredible specificity1 base mismatch can be detected in a 20 base long dnaHow many different 20 base sequences are there? 420 = 1012
Slide22Aptamer
= single
stranded nucleic
acid that happens
to have high
affinity for anothermolecule Aptamers can beengineered and selected for ability tobind particular targets ss NA’s can also fold into shapes that bind other molecules besides complementary NA’s
Slide23Molecules
used to provide
specificity in biosensors
Enzymes – e.g. glucose oxidase for glucose Antibodies Genetically engineered antibody variants Nucleic acids – hybridization Aptamers – ss NAs that bind small molecules natural and engineered
Slide24Fundamental relationship between NAs and proteins
Some protein enzymes move along DNA molecules
(
molecular motors
!), making RNA copy with equivalent base sequence (“transcription”)The RNA copy is then converted into a protein whose amino acid sequence is determined by the sequence of bases in the RNA (“translation”, “genetic code”)How do these motors work? How can they be studied? = topics of later classes!
Slide25Immense medical significance
Variants in DNA sequence -> proteins with
variant amino acid sequence
Amino acid sequence determines how protein
folds, and hence its functionEngineered changes in DNA sequence -> novel proteins, with possibly new functionsSo big interest in sensors that determine DNA sequence
Slide26While we will focus on biosensors (and a few
m
olecular motors), they are based on
t
he same interactions that occur naturally in
biological systems and hence provide insight into biological systems opportunity to develop innovative uses of biological materials opportunity to apply engineering tools to better understand how biological systems work
Slide27Approach – qualitative understanding of biosensor
phenomena, then quantitative analysis
Proto-typical biosensor – ELISA
Enzyme-linked
immunosorbant assay
Slide281. Capture antibody
(“receptor”)
usually immobilized
on
surface, e.g. plastic 96 well (“mircrotiter “) plate3. Add detection antibody that binds different site on target, wash4. Detection antibody may be directly attached to an enzyme (e.g. HRP) that converts a substrate dye to a colored molecule, or the enzyme can be added on a 3rd molecule that binds the detection antibody
5. Wash away enzyme not specifically attached
6. Add substrate and measure
color change
“receptor”
Typical ELISA format
2. Test sample, that may contain target antigen (=
analyte
,
ligand
), is added to well; target molecule sticks to capture antibody;
wash away
whatever doesn’t stick
Typical protocol
Add sample in
~
200
m
l, incubate ~1.5h (why so long?), washAdd 20 Ab coupled to enzyme (e.g HRP).incubate 1.5h, washAdd enz. substrate (e.g. tetramethylbenzene)Incubate 30min (in dark)Add stop solution (H2SO4) (why?), read OD (within 30min)Analyte with know concentration serially diluted in some wells to compare intensities to that of test sampleResult: analyte conc. in sample
Slide30Many other assays are variants on this
with different “transducing” methods
e.g. fluorescence instead of dye color,
measure mass of attached molecules instead of enzyme activity measure electrical effects of captured complex
Slide31What determines sensitivity,
incubation
times
?
How can we measure binding strength to target
vs other molecules in sample (-> false positives)?Next few classes will develop simple binding kinetics model to answer these questions
Slide32Reaction
(receptor binding)
kinetics
Let
b
m = total receptor conc. on sensor surface [moles/area] b(t) = conc of receptors that have bound analyte at time tAssume analyte binds receptor at rate ~ free analyte conc., c
0
,*
free receptor conc
.,
[
b
m
– b(t)]
and
dissociates
from receptor at rate
~
b(t
)
db(t)/
dt
=
k
on
c
0
[
b
m
– b(t)]
–
k
off
b(t)
k
on
and
k
off
are
proportionality constants
Slide33db(t)/
dt
=
kon c0 [bm – b(t)] – koff b(t)Interpretation of binding constantskon = av. # “binding” collisions per sec each receptor molecule
makes
with an
analyte
molecule when
analyte
conc
= 1
in
whatever units you use, e.g. #/m
3
or “molar”, M, moles/l
Units of
k
on
are #/conc.*time, e.g. M
-1
s
-1
k
off
= rate each receptor-
analyte
complex dissociates in #/s
Define K
D
=
k
off
/
k
on
Units of K
D
are conc., e.g. M
Slide34db
(t)/
dt
= kon c0 [bm – b(t)] – koff b(t)At steady-state, d/dt (b(t)) = 0, so k
on
c
0
[
b
m
– b(t)]
=
k
off
b(t
)
=>
b(t)/
b
m
=
c
0
/K
D
/(1 + c
0
/K
D
)]
LHS = fraction of receptors that have bound target
Note it is natural to measure concentration of
free target molecules in units of K
D
(unit check: are units of K
D
concentration?)
Slide35b(t
)/
b
m
= c0/KD /(1 + c0/KD)] at steady stateIf c0 = KD, half of receptors have bound analyte c0
>> K
D
, fraction of receptors with
analyte
-> 1
c
0
<< K
D
,
fraction of receptors with
analyte
~
c
0
/K
D
i.e. most
receptors are
unoccupied
Slide36db(t)/
dt
=
k
on c0 [bm – b(t)] – koff b(t)More generally, if c0
considered constant (often not true!),
b(t
)/
b
m
=
fraction of receptors with
analyte
=
A
(1-e
-
B
t
)
where
A = [c
0
/K
D
/(1 + c
0
/K
D
)]
and
B = k
on
c
0
+
k
off
b(t)/
b
m
time
A = c
0
/K
D
/(1 + c0/KD)t = 1/B = koff-1/(1+c0/KD)Note exponentialapproach to equil.with characteristictime t
Slide37b(t)/
b
m
time
c
0
/K
D
/(1 + c
0
/K
D
)
t =
k
off
-1
/
(1 + c
0
/K
D
)
typical
values
k
on
~
10
6
/Ms
( =10
-21
m
3
/s) fairly constant
k
off
~
1/s to 1/10
3
s (varies a lot)
K
D
~ mM (weak) to nM (tight binding) Note smaller KD <-> tighter binding (slower koff
)
Slide38There are many caveats to this model,
but it provides a simple way to begin
to evaluate systems quantitatively
The reasoning is completely general to other biochemical interactionsBegin to think in terms of KD’s as natural measures of strength of interactions
Slide39Main points:
Biological molecules are often polymers of simpler subunits
They interact by standard laws of physics but
because their surfaces are highly variable (in
charge, dipolarity, other weak interactions) they interact with each other in highly “molecule-specific” waysThese interactions are often ~kBT so that complexes form and dissociate at room temperature