Definitions Flashcards
Plating Efficiency (PE)
% of cells seeded that grow into colonies
= # of colonies counted / # of unirradiated or untreated cells plated initially
Survival Fraction (SF)
SF = # of colonies counted / (# of cells plated * PE)
(PE = plating efficiency = # counted/#plated)
(When plotted on Y-axis with X-axis for dose, curve has exponential shape…. don’t be fooled, when plotted as the log SF vs. Dose it is a straight line!)
Ln (S.F.) = # shots/ mean lethal shots = Dose given/D0
(D0 = mean lethal dose; N → 0.37N)
Quasi-threshold dose (Dq)
dose at which there is minimal B effect (measure of radioresistance)
Dq= D0 Ln (n)
Can use this to calculate the extrapolation # (n)
Dq is the straight part of the Survival curve
Ln (n) = Dq/D0
or
logen = Dq/D0
(as D0 ↑, n ↓ and as Dq ↑, n ↑)
extrapolation number (n
of targets in a cell required to be damaged before the cell loses clonogenicity
large for survival curves with broad shoulders (i.e. x-rays)
small for curves with narrow shoulders (neutrons, α-particles)
Ln (n) = Dq/D0
or
logen = Dq/D0
(as D0 ↑, n ↓ and as Dq ↑, n ↑)
Linear Quadratic Model
S (fraction of surviving cells) = e-αD - βD^2
Example: α=0.3Gy-1 β=0.03Gy-1 , what percentage of cells survive a single fraction of 2Gy?
S = e -((0.32) - (0.032^2)) = 49%
Example: With the above survival, what % of cells would survive 5 fractions of 2Gy each assuming complete repair but no proliferation ?
(.49)5 = 3%
Also know that S = e-D/D0 (assuming β = 0)
Example: For TBI of 6Gy, assuming D0 = 1Gy for hematopoetic stem cells, what is the surviving fraction of stem cells?
S = e-D/D0 = e-6/1 = e-6 = 0.0025
Relative Biological Effectivness (RBE)
Relative Biological Effectiveness (RBE): allows comparison of a test radiation with a standard radiation. It is the ratio of dose between the radiations to give a certain biological effect, for instance a grade of skin reaction or death of mice. Standard radiation is either 250 keV x-rays or 1.17/1.33 MeV 60Co gamma rays
RBE = D250kv/ Dtest <strong>radiation</strong>
Things that affect RBE:
1) LET (As LET increases towards 100 keV/μm, RBE also increases, up to 4 - 5 when compared with low LET radiations. This increase is also dependent on the other factors which influence RBE (such as dose rate, fractionation and the chosen biological effect). Over 100 keV/μm, the RBE falls as LET increases. This is due to cell overkill - too much dose is deposited in individual cells, wasting radiation which could be used elsewhere.)
2) Dose
3) Dose Rate: (lower dose rate decreases RBE for low LET radiation, but lower dose rate increases RBE for high LET radiation (less overkill!!)
4) Dose fractionation: (decreases with increasing fraction SIZE; but remember that HIGH LET radiation has increased RBE when fractionated because it is being compared to X-rays (250keV photons) which have a lower RBE with fractionation due to shoulder)
5) Biologic system or endpoint: RBE is high for tissues that accumulate and repair a lot of sublethal damage (and low for those that do not)
Other Facts to know:
*RBE for high LET particles is greater for hypoxic cells than for well-oxygenated cells of the same type because there is little or no oxygen effect for high LET radiation (but hypoxia will dramatically reduce cell kill for photon based low LET radiation)
*RBE for charged particles is low at the beginning of the particle track and greatest near the end of the track, in the Bragg peak region
D10
N (initial) → 0.1N
D0
D0 = mean lethal dose
N (initial) → 0.37N
S.F. Equations
Single Hit - Multi Target model:
SF = 1 - (1- e-D/D0)n
Linear Quadratic Model:
SF = e -αD - βD^2
(α = linear ; β = quadratic)
SF = e-D/D0
Key to a SF graph
1) n (extrapolation #) = # of hits required to kill
2) Dq (the hump) = quasi-threshold dose
3) D0 = mean lethal dose = N → 0.37 N
4) D10 = N → 0.1 N
5) α
6) β
DT
DT = Dq + 2.3 D0 (# logs)
also
DT = Dq + D10 (#logs)
Remember, to get a 90% chance of kill, you have to get to one cell, then you have to kill THAT last cell (so add one more log)… to get 99% chance add two logs once you get to one cell left!!
Damage per Gy of radiation
1000 base alterations
1000 ssDNA breaks
40 dsDNA breaks
Cyclin / CDK parings in cell cycle
G1: cyclinD/cdk4 + CyclinE/cdk2
*Rb binds to the transcription factor E2F to keeps cells in G1/G0… only when Rb gets phosporylated twice does it let go of E2F which then results in expression of S phase associated genes, allowing cells to proceed to S (each of the above cyclin/cdk complexes phosphorylate Rb once)
S: CyclinA/cdk2
G2: CyclinA/cdk1 +CyclinB/cdk1
M: Dephosphorylated CyclinB/cdk1 (de-Phos by cdc25)
To remember: DEAABB and 4–>2–>1–>1 (G–>M)
Oxygen Enhancement Ratio (OER)
OER = dosehypoxic cells / doseaerated cells
OER is by definition never less than 1.
OER for various radiation types:
- X-ray: 3.0
- Neutron: 1.6
- Proton: 3.0
- Energized Ions: 1.0
- Alpha-particle: 1.0
Initial proportion of hypoxic cells = SFaerated / SFhypoxic
*Higher LET radiation has lower OER (oxygen has less of an impact): X-ray (low LET) OER is typically about 3 and the OER for 15 MeV neutrons (high LET) is about 1.6
*Higher dose has a higher OER (2.5 vs. 3.5) –> more damage for O2 to “fix”
*Need very low O2 partial pressure (as low as 3mm Hg or 0.5% O2) KNOW THIS!!!!. irradiation at 30mm Hg (this is ~3% O2) is essentially near maximum radiosensitization.
*Thickness of well oxygenated tumor is never larger than 180μm (this is the maximum distance that oxygen can diffuse from a capillary) but is typically around 70μm
Hypoxia causes increased HIF (hypoxia inducible factors) production (need 2 subunits HIF1β and either HIF1α or HIF2α) → increased trascription of VEGF
OER decreases slowly with increasing LET for low LET values, but falls rapidly after LET exceeds about 60 keV/μm
OER is slighly higher for S phase (resistant cells) with a value of ~2.9 vs. an OER at G2 of ~2.3 and G1 of ~2.6
The increased cell killing resulting from irradiation in the presence of oxygen is thought to be the result of increased radical damage and damage fixation by oxygen. The initial number of ionizations produced by radiation in the aerated and hypoxic cells would be the same!!!
Acute Radiation Syndromes (Exposure)
1) Hematopoietic syndrome: ≥2 Gy (usually 2.5.5-5 and <8 Gy total body)
- Death at 30-60 days after exposure due to loss of immune function
- potential role for bone marrow transplant if exposure is 8-10Gy
- role for antibiotics if exposure >5Gy
2) Gastrointestinal syndrome: ≥8 Gy (usually** ≥**10Gy) total body
- Death at 5-16 days after exposure (usually 7-10 days) in humans; 3-4 days in mice
- Death due to loss of intestinal epithelia leading to infection and sepsis
- Manage with antiemetics, antibiotics, antidiarrheals, oral nutritional support
3) Cerebrovascular Syndrome: >20 Gy (usually 40-100Gy) total body
- Death within 24-48 hours post exposure
- Death due to neurological and cardiovascular breakdown
Other Facts:
- LD50/60 (50% lethal @ 60 days):
- Mouse = 7 Gy
- Rat = 6.75 Gy
- Monkey = 5.25 Gy
- Dog = 3.7 Gy
- Human = 3.5-4 Gy (with antibiotics/best supportive care maybe up to ~7Gy)
- Larger LD50 doses correlate with higher relative hematopoietic stem cell concentration, lower body weight, lower required rescue dose of stem cells in bone marrow transplant
- Prodrome of the radiation syndrome: a spectrum of early symptoms that occur shortly after whole body irradiation, lasts for a limited amount of time and varies in time of appearance, duration and severity depending on the dose. GI symptoms such as anorexia, nausea and vomiting occur when an individual is exposed to doses near the LD50; at higher doses symptoms such as fever and hypotension are also seen
- After exposure to 2 Gy, 50% or less will experience nausea and vomiting. Typically this occurs within 2-6 hours of exposure. Serotonin-receptor antagonists (Zofran) may help the nausea and vomiting
- Immediate diarrhea, fever, or hypotension indicates a supralethal exposure
- If you survive a total body radiation exposure, the increased risk of cancer is ~8%/1Gy
Base Excision Repair (BER)
Base Excision Repair (BER): Process by which abnormal or damaged bases are removed
Example: removal of Uracil from DNA
- Can remove one base (major pathway) or several bases (minor pathway)
- Intermediates include abasic DNA and SSB (these may be more toxic than the original damaged base) but process is concerted to avoid cell exposure to reactive intermediates.
- Key actors: APE1 (AP endonuclease), DNA PolB (DNA glycosylase)
Nucleotide Excision Repair (NER)
Nucleotide Excision Repair (NER): Process by which several damaged bases can be removed
-counters nucleotide instability (NIN)
Example: removal of Thymine dimers from genomic DNA
Key Actors: RNA Pol II, XPC, TFIIH, XPA/XPG (ERCC5), XPF (ERCC4 endonuclease)
-Defects are associated with Xeroderma Pigmentosum
Non-homologous Enjoining (NHEJ)
Non-homologous Endjoining (NHEJ): repair in the G1 phase of cell cycle
- Defects lead to chromosome aberrations, immune deficiency, and ionizing radiation sensitivity
- Fast component (10 minutes) and slow component (4-6 hours)
- May or may not result in deletion of DNA (cuts off the scraggly ends!)
- Overall lower fidelity (loss or gain of a few nucleotides can occur) than HR
- Cells with genetic defects in NHEJ (such as mutation of DNA-PK, XRCC4, or DNA ligase IV) display a more pronounced hypersensitivity to ionizing radiation than cells defective in HR
- Key Actors: Artemis (repair endonuclease that cleaves 3’ and 5’ nucleotide overhangs in slow component once it is activated/bound by DNA-PKcs), MRN (repair nuclease in slow component; includes NBS1, Mre11,Rad50), Ku70, Ku80, XRCC5 (Ku70/80 heterodimer), Rad50, Mre11, Xrs2 complex, XRCC4/Ligase IV, DNA-PK (and DNA-PKcs)
- V(D)J recombination is also an example of NHEJ!
- People with BRCA1/2 mutations rely on error prone NHEJ instead of HR.
Homologous Recombination (HR)
Homologous Recombination (HR): Dependent on presence of homologous DNA (i.e. sister chromatid) - so this occurs mainly in the S/G2 phase of the cell cycle!
- Defective HR leads to chromatid and chromosome aberrations, decreased proliferation, and ionizing radiation sensitivity
- High overall fidelity (error-free)
- Also important in repairing DNA damage at replication forks (replication-associated double-strand breaks) such as those caused by chemotherapy agents
- Key Actors: RAD51 (recombinase), RAD52, RAD54 (and probably RAD50), BRCA1/2 (BRCA1 is directly phosphorylated by ATM/ATR/CHK2; BRCA2 binds with RAD51 to form foci at sites of DNA breaks)
Common XRT induced base changes
8-oxo-guanosine (can base pair with C or A; base paring with A leads to subsequent mutations during replication). MutT can dephosporylate 8-oxo-G and effectively remove it from the nucleotide ppol. MutB can remove 8-oxo-G from DNA. MutY removes the A that should not be paired with 8-oxo-G (so MutY removes a normal base paired to an abnormal base!)
5-hydroxymethyl uracil
Uracil
Thymine glycol
Radiation Induced Transcription Factors
AP-1 (activator protein-1): Heterodimer of two different proteins (Jun/Fos)
*Jun Family: c-Jun, Jun B, Jun D
*Fos family: C-Fos, Fra-1, Fra-2, Fos B
NFkB:
Sterility and Dose
Male:
- Oligospermia : 0.15 Gy
- Azospermia (absence of living spermatozoa) : 0.5 Gy
- Permanent Sterility: 6 Gy in a single dose or 2-3 Gy in fractionated regimen
- Sterility does not change libido, hormone balance, or physical capability
Female:
- Permanent Sterility (pre-pubertal): 12 Gy
- Permanent Sterility (pre-menopausal): 2 Gy
- Sterility leads to pronounced hormonal changes comparable to natural menopause
- No latent period
Carcinogenesis steps
Initiation: an irreversible genetic change that predisposes a cell to reproductive immortality and carcinogenic transformation
Promotion: a reversible series of growth stimulating events that causes the clonal outgrowth and amplification of an initiated cell
Progression: the accumulation of more genetic changes that lead to changes in the phenotypic characteristics of a immortalized cell population (increases the aggressive properties of a tumor (metastasis)
4 R’s
Repair (minutes to hours) of sublethal damage: radiation damages a cell, but repair is insufficient; mutations are induced which immortalize the cell
Reassortment (several hours) of cells within the cell cycle: Remaining cells distribute to more radiosensitive parts of the cell cycle (G2/M)
Repopulation (hours to days): the death of surrounding cells due to radiation exposure (and the ability of radiation to stimulate growth) creates a volume for the clonal expansion of the initiated cell. Allows the repair of organ FSU’s
Reoxygenation (hours to days): Reoxygenation of the formerly hypoxic core as better oxygenated (and thus more radiosensitive) cells on the outer rings of the tumor are killed by radiation)
How are the 4R’s important to XRT?: Dividing a dose into several fractions spares normal tissues because of the repair of sublethal damage between dose fractions and cellular repopulation. At the same time, fractionation increases tumor damage because of reoxygenation and reassortment.
Risk Models
Absolute risk model: assumes that radiation induces cancers over and above the natural incidence and is seperate from it (radiation makes its own “crop” of cancer seperate and unrelated to spontaneous tumors)
- Example: Leukemia (risk rises for a given period of time after radiation and then returns to the natural incidence rate)
Relative risk model: assumes that radiation increases the rate of naturally occurring cancers by a given factor (radiation induced tumors and the intrinsic rate at which cancer occurs are added together
- Example: the intrinsic cancer rate increases with age, predicting that irradiation at a younger age will drastically increase the rate of cancer in an older individual
***RR model is more conservative (predicts a higher rate of cancer)
- For Solid Tumors: excess cancer incidence and mortality are a linear function of dose up to about 2 Sv
- For Leukemia: excess incidence best fitted by linear-quadratic function of dose so that risk per unit of dose at 1 Sv is about three times that at 0.1 Sv.
Other facts to know:
- The dose to double the incidence of mutations in humans has been estimated at approximately 1-2 Sv.
- the doubling-dose estimate for radiation-induced genetic mutations in humans is based on mouse data, coupled with estimates of the human spontaneous mutation rates.
- Radiation does not induce characteristic mutations, but only increases the incidence of mutations that occur spontaneously.
- A higher incidence of genetic abnormalities has not been found in the children of radiotherapy patients compared with children whose parents had not been irradiated prior to conception.
- The best estimates are that no more than 1-6% of spontaneous mutations in humans are due to exposure to background radiation.
- The absolute mutation rate for humans has been estimated at 0.1-0.6% per Sv
Examples of functional endpoint tests
- Pig Skin Test (dose given and acute/chronic reactions noted)
- Lung Breathing rate
- Spinal cord assays (observe for myelopathy)
- LD50 (basic life vs. death function!)
*These are good tests because they give us clinically relevant info and allowed us to figure out the tolerance doses for some tissues
α/β ratio
α/β ratio: the dose at which the linear (α) and the quadratic (β) components of cell killing are equal (αD = βD2 or D = α/β)
In-vivo, α/β ratios for normal tissues and tumors are derived from an analysis
Isoeffect Plot
- A biological effect of a certain dose that is plotted against dose/fraction (doses/fractions that have equivalent biological effect in a given tissue)
- Isoeffect curves are often plotted with the log of the total dose on the y-axis and the log of the fraction size (from high to low) on the x-axis.
- Tissues with a greater repair capacity will show greater sparing with increasing fractionation (smaller fraction sizes) and therefore will have steeper isoeffect curves
- Tissues with steep isoeffect curves have low α/β ratios (a decrease in dose per fraction rapidly increases the total dose that a late responding tissue can tolerate)
- Increased proliferation will cause an increase in the slope of an isoeffect curve because it would take a higher total dose to kill the larger number of cells produced during the course of treatment.
- Reoxygenation decreases the slope of the isoeffect curve because it decreases the number of radioresistant hypoxic cells and hence reduces the total dose required to control the tumor, everything else being equal
Early vs. Late dose response relationships
Early responding tissues:
- proliferate readily which sensitizes the cells, but they can also quickly replace cells killed by radiation (pseudo resistance and/or accelerated repopulation).
- exhibit radiation-induced injury during or shortly after a course of radiotherapy (short latency period)
- regeneration/repopulation of normal tissue can occur in acutely responding normal tissue during the course of a standard radiotherapy protocol
- latency period does not show much variation (it depends on the time it takes for cells to move from the stem cell compartment through the transit compartment, and finally to the terminally-differentiated, non-dividing parenchymal cell that is lost through normal wear and tear)
- Most affected by overall treatment time (shorter treatment time leads to increased severity; prolonged overall treatment time can spare early responding normal tissues)
- Shows more α component (linear) and less β component (quadratic)
- accelerated fractionation protocols can increase the reaction in early responding normal tissues
Late responding tissues:
- primarily composed of cells in G1 (resting) phase of the cell cycle, thus relatively radioresistant at least at small doses/fractions.
- exhibit radiation-induced injury months or years following the completion of radiotherapy (long latency period)
- length of time necessary before a late effect is observed clinically decreases with increasing dose
- Most affected by fraction size (many smaller doses cause LESS late effects than a few large doses; so dose/fraction is important); also somewhat increased by increasing total dose.
- Shows less α component (linear) and more β component (quadratic; curves toward the x-axis MORE!!)
Dosing Schemes:
- Hyperfractionation: can increase early reactions, can improve tumor control (or keep relatively equal), reduces late effects; thus increases therapeutic gain!
- Therapeutic gain can be achieved only if the late-responding normal tissue has a lower α/β ratio than the tumor
- RBEs for high LET forms of radiation are greater for late effects compared to early effects when hyperfractionation is used
- Accelerated: overall treatment time is reduced as is dose; aim is to reduce repopulation in rapidly proliferating tumors; can increase early effects to some degree (due to shorter treatment time)