school of health sciences purdue rob stewart, ph.d. school of health sciences purdue university 550...
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School of Health Scienceshttp://healthsciences.purdue.eduPurdue
Rob Stewart, Ph.D.Rob Stewart, Ph.D.School of Health SciencesPurdue University550 Stadium Mall DriveWest Lafayette, IN 47907-2051
April 11, 2003
Can we predict radiation carcinogenesis from first principles?
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Nature of “The Beast”Nature of “The Beast”
Dosimetry
50 keV e- in H2O
In many situations, cells and tissues are exposed to temporally and spatially complex radiation fields
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Radiation field depends on particle Radiation field depends on particle energy energy
1 MeV e- in water
5,000 m
5 MeV e- in water
25,000 m
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… … the type of radiationthe type of radiation
250 keV e+ in water250 keV e- in water
500 m 500 m
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… … and the initial direction(s) of and the initial direction(s) of flightflight
1 MeV photons in water
500,000 m(50 cm)
10 MeV photons in water
500,000 m(50 cm)
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““Dose” is only the first stepDose” is only the first step
Dosimetry
50 keV e- in H2O
Cancer develops through physical, chemical, biochemical and microevolutionary processes that happen over hours, days, months and even years.
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G
C G
CA
T
A
T
T
A
The InfamousThe Infamous
Double Strand Break (DSB) Double Strand Break (DSB)
Pose a major threat to integrity of the genome Created by
• Certain chemotherapeutic drugs (e.g., bleomycine)• “Spontaneously” as a by-productive of cellular processes
Oxidative metabolism Replication fork encounters a single-strand break
• Ionizing radiation (including of course cosmic rays, dental x-rays, radon, 40K, etc.)
Complementary base pairs encode genetic information and provide opportunities for error-free repair.
Guanine (G) Cytosine (C)
Adenine (A) Thymine (T)
Double strand break (DSB)
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Are all DSBs lethal?Are all DSBs lethal?
(0 | ) exp{ }S p n n
( )( | ) exp{ }
!
nnp n n n
n
Some cells survive because they do not sustain critical DNA damage (i.e., a DSB).
DSBs are distributed among identically irradiated cells ~ according to a Poisson distribution
dsbn D
45 Gy h-1
0.5 Gy h-1
0.12 Gy h-1
CHO cells
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Most DSBs are rejoined and non-Most DSBs are rejoined and non-lethallethal
Radiation creates ~ 25-40 DSB Gy-1 cell-1.
Less than 4% of the initial DSBs are lethal.
( ) exp{ }dsbS D D
-1 -10.075 DSB Gy celldsb
-1 -11 DSB Gy celldsb
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Double Strand Break
How are DSBs rejoined?How are DSBs rejoined?
Homologous recombination (HR)• Gene conversion• Single-strand annealing
Non-homologous end joining (NHEJ)
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Homologous DNAHomologous DNA
T G G G C A G A
A C C C G T C T
G A A T C A G C
C T T A G T C G
G A A T C A G C A
C T T A G T C G T
T G G G C A G A
A C C C G T C T
same sequence of base pairs
A T G A C C
T A C T G G
?
Sister chromatid Homologous chromosome Repetitive DNA sequences
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Homologous Recombination (HR)Homologous Recombination (HR)
Double Strand Break
Gene Conversion(no cross over)
Gene Conversion(with cross over)
Resolution
DNA synthesis
resection of 5' end
unwinding of helix/strand invasion
Branch migration/resolutionof Holiday junctions
Requires extensive regions of homology• Allelic recombination
Sister chromatid Homologous chromosome
• Ectopic recombination Other regions of genome with
sequence homology
Holiday junction resolution is not random• Gene conversion without cross
over more frequent than gene conversion with cross over.
Adapted from M. van den Bosch, P.H.M Lohman, and A. Pastink, DNA Double-Strand Break Repair by Homologous Recombination, Biol. Chem. 383, 873-892 (2002)
HR has the potential to rejoin DSBs with no loss in genetic information (error-free repair)
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Non-Homologous End Joining Non-Homologous End Joining (NHEJ)(NHEJ)
Adapted from F. Daboussi, A. Dumay, F. Delacote, and B.S. Lopez, DNA double-strand break repair signaling: The case of RAD51 post-translational regulation, Cellular Signaling 14, 969-975 (2002)
NHEJ is an error prone DSB restitution pathway
DSB is recognized by DNA protein kinase (DNA-PK)• KU80/KU70 heterodimer• Catalytic sub-unit DNA-PKcs
Ligase IV and XRCC4 co-factor promote ligation of the DNA break ends
Double Strand Break correct repair
base pair deletion or insertion
XRCC4 andLigase IV
DNA protein kinase(DNA-PKcs)
KU80/KU70 heterodimer
or
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DSB repair in mammalian cellsDSB repair in mammalian cells
HR is potentially error-free. But inappropriate HR can lead to large DNA rearrangements (chromosome aberrations).• Impaired or increased HR has been associated with a predisposition
towards cancer NHEJ is highly mutagenic but consequences are usually less
severe. NHEJ predominates in G0 (quiescent cells) and in G1/early S
phase cells. HR is important in late S/G2 phase.• DSB repair is not the same in quiescent and actively dividing cells.• DSB repair is a function of cell cycle phase.
HR and NHEJ are regulated through a complex set of signaling pathways.• Overall rate and fidelity of DSB repair can be disrupted in many
different ways.
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DNA organized into a chromatin fiber
Track
Local damage complexityLocal damage complexity
Simple double strand break
XXX
Complex double strand break
x
xTrack
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DSB repair may be affected by damage DSB repair may be affected by damage complexitycomplexity
Double Strand Break(complex)
Gene Conversion(no cross over)
Gene Conversion(with cross over)
Resolution
DNA synthesis
resection of 5' end
unwinding of helix/strand invasion
Branch migration/resolutionof Holiday junctions
xxxx
x
xx
xx
xx
xx
xx
Not difficult to imagine that collateral damage near the site of two opposing strand breaks could impair• Resection of damaged break
ends• DNA synthesis• Branch migration and
Holiday junction formation Disruptions in HR would
likely depend on the spatial configuration and types of nearby damage sites.
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Pairwise damage interactionPairwise damage interaction
Free break ends diffuseabout the nucleus
and may encounterother free break ends
mis-rejoinedbreak ends
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Proximity effectsProximity effects
x x
x
Regional Multiply Damaged Sites
Track
One radiation track can create multiple DSB.
Some DSBs may be in close spatial proximity.
Break ends in close temporal and spatial proximity are more likely to interact than ones separated in time or space.• Frequency of pairwise damage
interaction increases with increasing particle LET.
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Repair-misrepair (RMR) modelRepair-misrepair (RMR) model
( )(1 ) ( ) ( ) ( )
dF ta L t L t L t
dt
( )( ) ( ) ( ) ( )dsb
dL tD t L t L t L t
dt
( )(1 )(1 ) ( ) (1 ) ( ) ( )
dM ta L t L t L t
dt
DSBs are created and rejoined
Repair processes convert fraction (1-a) of the initial DSBs to lethal or non-lethal mutations
Non-lethal
Lethal
C.A. Tobias, The repair-misrepair model in radiobiology: comparison to other models. Radiat. Res. Suppl. 8:S77-S95 (1985).
pairwise damage interactionGy h-1 at time t
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Surviving fractionSurviving fraction
S(t) is the fraction of cells free of lethal damage at time t. Lethal damage created during a short time interval dt, whose average is dF/dt, are randomly distributed among cells without regard for which cells already have lethal damage.
For a review, see R.K. Sachs, P. Hahnfeld, and D.J. Brenner, Review: The link between low-LET dose-response relations and the underlying kinetics of damage production/repair/misrepair. Int. J. Radiat. Biol. 72(4) 351-374 (1997).
( )( ) / ( )
dS tdF t dt S t
dt
( ) exp ( )S t F t Surviving fraction at time t
(0) 1S
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Virtual Cell (VC) SoftwareVirtual Cell (VC) Software Simulates the repair and
misrepair of DNA damage• LPL model (Curtis 1986)• RMR model (Tobias (1985)• TLK model (Stewart 2001)
Predicts endpoints such as• Expected number of DSB as a
function of time• Fraction of cells that survive
irradiation• Fraction of cells that acquire
genetic instability and become unstable (transformed)
• Tumor control probability after radiation therapy
• Expected time of tumor reoccurrence after radiation therapy
45 Gy h-1
0.5 Gy h-1
0.12 Gy h-1
CHO cells
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Split-dose ExperimentSplit-dose Experiment
Time (h)
Dos
e ra
te (
Gy
h-1)
4 hour
Time (h)
0 10 20 30 40 50
Let
hal m
utat
ions
(ce
ll-1
)
0.0
0.5
1.0
1.5
2.0
2.5
S = 0.12
RMR parameters for CHO cells
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External beam radiation therapyExternal beam radiation therapy
Time (h)
0 200 400 600 800 1000
Exp
ecte
d nu
mbe
r of
DS
B (
cell
-1)
0
10
20
30
40
50
60
Time (h)
0 200 400 600 800 1000
Let
hal m
utat
ions
(ce
ll-1
)0
1
2
3
4
5
6
RMR parameters for CHO cells
S = 5.4×10-3
A 60 Gy radiation treatment (2 Gy × 30) delivered over 6 weeks (M-F skipping weekends). The 2 Gy daily doses are delivered at 6 Gy h-1 (= 2 Gy/20 minutes).
SF2 = 0.849
S (SF2)30 = 7.27 × 10-3
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BrachytherapyBrachytherapy
Time (h)
100 101 102 103 104
Exp
ecte
d nu
mbe
r of
DS
B (
cell
-1)
0
2
4
6
8
10
12
14
16
18
Time (h)
100 101 102 103 104
Let
hal m
utat
ions
(ce
ll-1
)0
2
4
6
8
10
S = 3.9×10-4
A 125I seed that delivers 150 Gy in 1.1 years. Dose rate decreases exponentially with a half-life of 1,443 h (peak dose rate = 72.4 mGy h-1).
RMR parameters for CHO cells
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Combined radiation treatmentsCombined radiation treatments
Time (h)
100 101 102 103 104
Exp
ecte
d nu
mbe
r of
DS
B (
cell
-1)
0
10
20
30
40
50
60
70
Time (h)
100 101 102 103 104
Let
hal m
utat
ions
(ce
ll-1
)0
2
4
6
8
10
12
14
Hypothetical combined external beam and brachytherapy radiation treatment (160 Gy total delivered dose).
RMR parameters for CHO cells
Scombined = 7.4×10-6
Sebrt(60 Gy) = 5.4×10-3
Sbrachy(100 Gy) = 8.9×10-3
Sebrt × Sbrachy= 4.8×10-5
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RMR and LQ survival models are relatedRMR and LQ survival models are related
The widely used linear-quadratic (LQ) survival model may be written as
2( ) exp GS D D D
2
2( ) ( )exp ( )
t
dt D t d D tD
G t t t
2( ) exp ( ) expS D DGF
Equating S(D) and S() gives
2( )F D GD
See M. Guerrero, R.D. Stewart, J. Wang, and X.A. Li. Phys. Med. Biol. 47, 3197–3209 (2002) and RK Sachs, P. Hahnfeld, DJ Brenner. Int. J. Radiat. Biol. 72(4), 351-74 (1997).
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{
A mechanistic interpretation of the A mechanistic interpretation of the LQLQ
2( ) (1 ) / 2dsb a (1 ) dsba
Accuracy of repair process
-1 -1~ 40 DSB Gy celldsb
Rate of DSB rejoining
Pairwise damage interaction process alwayscreates a mutation (chromosome aberration). But not all of them are lethal.
2 (1 )
/(1 )dsb
a
a
Expect / ratio to increase asrate of DSB rejoining () increases.
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Prediction of LQ parameters from “first Prediction of LQ parameters from “first principles” – a tantalizing possibilityprinciples” – a tantalizing possibility
(Gy-1)10-2 10-1 100
(G
y-2)
10-3
10-2
10-1
100
Small black filled symbols generated using Monte Carlo sampling methods
Large red symbols parameter values obtained from the direct analysis of measured survival data
2( ) (1 ) / 2dsb a
(1 ) dsba
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Lack of a dose rate effect is insufficient Lack of a dose rate effect is insufficient evidence to infer ‘no repair’evidence to infer ‘no repair’
2( ) exp GS D D D
dose rate effects
/ (1 )
2.27%dsb a
2( ) (1 ) / 2dsb a
Lack of a dose rate effect implies A small fraction of the initial
damage is unrepairable (< 2%)• complex DSBs?
Rapid DSB rejoining• G → 0 (large )• (/) << 1
Rapid DSB fixation competes with 1st and 2nd order repair.
Other possibilities
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Damage formation and repair is still Damage formation and repair is still only the beginningonly the beginning
Dosimetry
50 keV e- in H2O
Cancer develops through physical, chemical, biochemical and microevolutionary processes that happen over hours, days, months and even years.
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Tumor growth kineticsTumor growth kinetics
( ) ( )dN
N tdt
Exponential cell kinetics are sometimes observed
Cell birth rate (h-1) Cell death rate (h-1)
( ) (0)exp ( )
(0)exp 0.693 / d
N t N t
N t T
ln(2)
( )dT
Cell Doublings
N(t)Tissue
Volume (cm3)
0.00 1.00E+00 5.24E-101.00 2.00E+00 1.05E-092.00 4.00E+00 2.09E-093.00 8.00E+00 4.19E-094.00 1.60E+01 8.38E-095.00 3.20E+01 1.68E-086.00 6.40E+01 3.35E-087.00 1.28E+02 6.70E-088.00 2.56E+02 1.34E-079.00 5.12E+02 2.68E-07
10.00 1.02E+03 5.36E-0715.00 3.28E+04 1.72E-0520.00 1.05E+06 5.49E-0425.00 3.36E+07 1.76E-0230.00 1.07E+09 5.62E-0135.00 3.44E+10 1.80E+0140.00 1.10E+12 5.76E+0245.00 3.52E+13 1.84E+0450.00 1.13E+15 5.90E+05
Doubling time
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Time (h)
10-1 100 101 102 103 104 105
Exp
ecte
d nu
mbe
r of
cel
ls
10-1
100
101
102
103
104
105
106
107
108
109
60 Gy EBRT60 Gy EBRT (no repopulation)
145 Gy 125I brachytherapy
Effective treatment time ~ 234 days
Radiation therapy for the treatment of Radiation therapy for the treatment of prostate cancerprostate cancer
Prostate tumor composed of 107 tumor cells.
Wang et al. (2003) radiosensitivity parameters
JZ Wang, M. Guerrero, XA Li. How low is the alpha/beta ratio for prostate cancer? Int. J. Radiat. Oncol. Biol. Phys. 55(1), 194-203 (2003).
( ) ( )exp ( )N t S t t
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Tumor control probability (TCP)Tumor control probability (TCP)
JZ Wang, M. Guerrero, XA Li. How low is the alpha/beta ratio for prostate cancer? Int. J. Radiat. Oncol. Biol. Phys. 55(1), 194-203 (2003).
Dose in parentheses is the treatment dose that gives a TCP of 90%
Prostate tumor composed of 107 tumor cells.
Wang et al. (2003) radiosensitivity parameters
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Multi-stage cancer model(s)Multi-stage cancer model(s)
MalignantTumor
tlag
Stem Cells
Minor G.I.
Enhanced G.I.
Transformed(neoplastic)
Through a series of mutational events, stem cells acquire minor and enhanced genetic instability and other traits.
Tumor forms through the clonal expansion of the unstable cell population.
Cell birth/death processes may change as cells progress towards malignancy.
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Incidence of lung cancerIncidence of lung cancer
Total absorbed dose delivered in 75 years (mGy)
1 10 100 1000 10000
Can
cer
inci
denc
e at
75
year
s, N
5(75
yr)
10-4
10-3
10-2
10-1
100
Estimated lung cancer incidence with and without DNA damage caused by endogenous processes.
H. Schöllnberger, R.D. Stewart, R.E.J. Mitchel, and W. Hofmann, An examination of radiation hormesis mechanisms using a multi-stage carcinogenesis model. In progress. Abstract submitted to ICRR 2003 Brisbane, Australia (2003).
At background radiation levels (75 to 225 mGy), endogenous processes may account for 70 to 90% of lung cancers.
At 1 Gy, endogenous processes may account for as much as 30% of lung cancers.
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Induction of cellular defense Induction of cellular defense mechanismsmechanisms
Estimated lung cancer incidence with and without low dose (rate) adaptations in radical scavenging and DNA repair.
H. Schöllnberger, R.D. Stewart, R.E.J. Mitchel, and W. Hofmann, An examination of radiation hormesis mechanisms using a multi-stage carcinogenesis model. In progress. Abstract submitted to ICRR 2003 Brisbane, Australia (2003).
A 3-fold low dose (rate) enhancement in DNA repair and radical scavenging would provide support for an effective threshold.
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CommentsComments
Multi-stage models that use exponential cell growth kinetics are extremely sensitive to the selection of a net cell birth rate (-) and have conceptual difficulties• For lung cancer, (-) ~ 0.012 + 0.001.• Cell density < ~ 108 to 109 cells cm-3.• Tumor size has a finite upper bound ~ 1014 or 1015 cells.
Over extended periods of time (months or years), age, health status, etc., etc., will impact on cancer development• Cell birth/death parameters will change over time and most likely has
a stochastic (chaotic) element.• Wounds or disease may temporarily alter the tissue microenvironment
and accelerate the clonal expansion of aberrant cells. Normal cells affect behavior of transformed cells and vice
versa• Cell signaling (bystander) effects.
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Maybe I’ve got the virus and just don’t know it
yet
Cell signalingCell signaling
Cells in higher animals coordinate cellular activities using hundreds of different kinds of signaling molecules• Proteins, small peptides, amino acids, nucleotides, steroids, retinoids, fatty acid
derivatives, and gases such as nitric oxide (NO) and carbon monoxide
Signaling can be long range (synaptic and endocrine signaling) or short range (autocrine and paracrine signaling)
Direct cell-to-cell communication through gap junctions
Goodbye friends. I’ve caught a virus and must leave you.
Autocrine and paracrine signaling through excreted messengers
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Why do we care?Why do we care?
Cell birth, differentiation and death processes are highly regulated through multiple signaling networks.
Medium transfer and single-cell irradiator experiments demonstrate that radiation-damaged cells emit signals that cause radiation-like changes in nearby undamaged cells• changes in gene expression, mutations, increases in sister chromatid exchanges, induction
of chromosomal instability, and cell transformation
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Growth InhibitionGrowth Inhibition
Cell growth in vivo is limited (at a minimum) by the availability of space, nutrients, and growth factors
Cells compete with each other for resources
Diameter (um) (um3) (cm3)
Peak density
(cell cm3)1 0.524 5.24E-13 1.91E+122 4.189 4.19E-12 2.39E+113 14.137 1.41E-11 7.07E+104 33.510 3.35E-11 2.98E+105 65.450 6.54E-11 1.53E+106 113.097 1.13E-10 8.84E+097 179.594 1.80E-10 5.57E+098 268.083 2.68E-10 3.73E+099 381.704 3.82E-10 2.62E+09
10 523.599 5.24E-10 1.91E+0915 1,767.146 1.77E-09 5.66E+0820 4,188.790 4.19E-09 2.39E+0825 8,181.231 8.18E-09 1.22E+08
Volume( ) ( )
( ) ( )dN t N t
N tdt
Life support capacity
( ) ( )( ) ( ) / ( )
dN t N tdS t dt N t
dt
Radiation killing
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Microevolution of a tumorMicroevolution of a tumor
Normal and transformed cells vie for resources
0 0 10 0 0 0
0
( ) ( ) ( )( ) ( ) / ( )
dN t N t N tdS t dt N t
dt
Normal cells
Tumor cells
1 0
1 0 11 1 1 1
1
( ) ( ) ( )( ) ( ) / ( )
dN t N t N tdS t dt N t
dt
Crowding effects:
Over-expression of growth factor receptors
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Virtual Tissue Model (VTM)Virtual Tissue Model (VTM)
System of 6 or 7 differential equations describe the in vivo cell system (i.e., the Virtual Tissue).
Normal cells and transformed cells vie for resources.
Tissue microenvironment is re-shaped as the relative number of normal and transformed cells changes.
Stem Cells(N0)
CommittedProgenitor
(N1)
Minor G.I.(G0)
Enhanced G.I.(G1)
Transformed(neoplastic)
(G2)
Malignant(Gm)
in vitro
in vivo
Terminallydifferentiated (N2)
( ) 1( ) ( ) / ( ) ( )i
i i i j iji
dN tdS t dt N t N t
dt
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Can we simulate cancer from first Can we simulate cancer from first principles?principles?
Yes! No! Maybe…
What’s a first principle?
Mechanisms and
parameters
Computational issues
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A lot more can be doneA lot more can be done
http://healthsciences.purdue.edu/vc/
Acknowledgement: The Virtual Cell software development effort is supported in part by the U.S. Department of Energy's Low Dose Radiation Research Program through the Office of Science (BER), Grant Number DE-FG02-03ER63541.