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Page 1: Time , Dose & Fractionationrevised
Page 2: Time , Dose & Fractionationrevised

INTRODUCTION To deliver precisely measured dose of

radiation to a defined tumor volume with minimal damage to surrounding normal tissue.

Aims: To eradicate tumor, Improve quality of life & Prolongation of survival.

Page 3: Time , Dose & Fractionationrevised

RADIATION ACTION Critical target in a

biological system –DNA Radiation when absorbed

in biological material may damage DNA by any of following actions Direct action –

Radn interacts with critical target.

Atoms of target get ionized & lead to biological damage

Indirect action – Secondary e- interacts with

e.g. water molecule to produce free radicals which damage DNA & produce biological changes.

Indirect actionDirect action

Page 4: Time , Dose & Fractionationrevised

TUMOR LETHAL DOSE

Dose of radiation that produces complete & permanent regression of tumor in vivo in zone irradiated.

The expression of relationship b/w lethal effect & dose was first propounded by Holthusen

Consequences of his working hypothesis are :- There is a dose point A below

which there is no appreciable lethal effect.

As dose is increased lethal effect increases

At upper end of sigmoid curve there is a point TLD at which 80-90% tumor resolves completely

Above this point dose has to be increased considerably to gain any appreciable rise in lethal effect.

Probability of cell death

100%

A

TLD

%age leth

al

eff

ect

dose

Page 5: Time , Dose & Fractionationrevised

TUMOR LETHAL DOSE Tumor control is a probabilistic event i.e.

for every increment of radiation dose certain # of cells will be killed

Total no. of surviving cells will be proportional to initial no. of cells present & the # killed after each dose.

Constant # of cells are killed by each dose #.

Page 6: Time , Dose & Fractionationrevised

TISSUE TOLERANCE Radiation dose that will not produce any

appreciable damage to normal tissue irradiated. usually <5% damage to normal tissue is acceptable.

In RT the success of eradicating tumor depends on radio sensitivity of tumor as well as tolerance of surrounding normal tissue

NTT limits the max. dose that can be delivered to tumor

During early years of RT with orthovoltage skin was a limiting factor.

This was overcome by use of Co - 60 & megavoltage X-rays

Page 7: Time , Dose & Fractionationrevised

NTT: Factors Site of tissue – axilla, perineum less

tolerant Area or volume irradiated Vascularity Supporting tissues ( stroma and

parenchymal cells) Individual variation of tolerance.

Page 8: Time , Dose & Fractionationrevised

Therapeutic index It is ratio of NTT/ TLD. This ratio determines

whether a particular disease can be treated or not TLD > NTT then

radical dose of radiation cannot be delivered.

The more the curve B is to the right of curve A the more is therapeutic ratio

The optimum choice of radiation dose delivery technique is one that maximizes the TCP & simultaneously minimizes the NTCP

%age leth

al eff

ect

AB

TCP

NTCP

Page 9: Time , Dose & Fractionationrevised

Radio sensitivity Radio sensitivity expresses the response

of the tumor to irradiation. Bergonie and Tribondeau (1906): “RS

LAWS”: RS will be greater if the cell: Is highly mitotic. Is undifferentiated. Has a high cariocinetic future.

Malignant cells have greater reproductive capacity hence are more radiosensitive.

Page 10: Time , Dose & Fractionationrevised

Radio sensitivity

Dose required to produce lethal effect is more than NTT.Hence therapeutic index is very low. e.g. soft tissue & bone sarcoma, melanoma etc.Muscle, Bones, Nervous system

Though tumors are more sensitive, therapeutic ratio is low. NTT exceeds TLD by only small #. e.g. sq. cell. ca. & adenoca.Skin, Mesoderm organs (liver, heart, lungs…)

For which therapeutic ratio is high Normal tissue tolerates doses several times magnitude of TLD. e.g. lymphoma, leukemia,seminoma,dysgerminomaBone Marrow, Spleen, Thymus ,Lymphatic nodes,Gonads,Eye lens, Lymphocytes (exception to the RS laws)

ResistantModerately sensitiveHighly radiosensitive

Page 11: Time , Dose & Fractionationrevised

Factors affecting the radiosensitivity Physical

LET (linear energy transfer): RS Dose rate: RS

Chemical Increase RS: OXYGEN, cytotoxic drugs. Decrease RS: SULFHYDRL compounds (cys,

cysteamine…) Biological

Cycle status: RS: G2, M RS: S

Repair of damage (sub-lethal damage may be repaired e.g. fractionated dose)

G1

S

G2

M

G0

LET

LET

% s

urv

ivo

r c

ell

s

MM

Page 12: Time , Dose & Fractionationrevised

RADIOCURABILITY Refers to eradication of tumor at primary or

regional sites & reflects direct effect of irradiation.

There is no significant relation b/w radio sensitivity & radio curability. A tumor may be radio sensitive yet incurable & vice versa.

Examples Leukemia is radiosensitive but not radio curable. Seminoma is radiosensitive & radio curable. Sarcoma is not radiosensitive/ radio curable.

Page 13: Time , Dose & Fractionationrevised

TREATMENT FACTORS To eradicate a tumor radiation is delivered

& factors that play an important role in any treatment are Dose of radiation Time of dose delivery Fractionation of dose

Page 14: Time , Dose & Fractionationrevised

DOSE Is a physical quantity Amount of energy absorbed from beam of radiation

at a given point in medium. Dose can be measured by any of three methods

Calorimetry Fricke dosimetry Ion chamber dosimetry – most practical & widely used

dosimetry Old unit of dose is rad When 100ergs of energy is deposited in a gm. of

material then absorbed dose is one rad 1rad= 100erg/gm SI unit of dose is Gray 1Gy = 1J/Kg 1Gy = 100rads

Page 15: Time , Dose & Fractionationrevised

INTENTION OF TREATMENT Radical –

To achieve tumor lethality Dose as high as tolerance dose is used. Cure or local control is the aim. t/t 5-6 wks

Palliative – Incurable disease. Aim is to relieve pt. from discomforting symptoms of

cancer (e.g. pain , dysphagia, dyspnoea) Side effects of treatment should be minor. t/t single # or 1-3wks

Growth restraint -

Page 16: Time , Dose & Fractionationrevised

CHOICE OF DOSE In radical radiotherapy choice of dose & fractionation

regimen depends on following factors:- Radio sensitivity of tumor –

e.g. radiosensitive tumor such as seminoma can be controlled by total dose of 30Gy/ 4wks

While for moderately sensitive sq. cell ca. of head & neck higher doses of the order of 50-60Gy in 5-6wks is used.

Size of treatment volume – smaller the vol. the greater is the dose that can be delivered

without exceeding NTT.

Proximity of dose limiting structures – presence of critical st. such as brain stem & spinal chord may

limit dose that can be delivered to tumors e.g while treating head & neck cancer & esophagus spinal chord is the critical st.

Page 17: Time , Dose & Fractionationrevised

To assess the effects of quantity of radiation following doses should be known for clinical purposes :-

Given dose – The dose being delivered by any one beam either to an area of skin for KV beam or to the level of max. buildup below the skin for MV beam.

Tumor dose – The dose (max. or min.) being delivered in selected treated zone containing tumor i.e. tumor & safety margins.

Skin dose – The actual dose received by any area of skin summating given dose contributions received through body from any beam.

Page 18: Time , Dose & Fractionationrevised

Sub lethal dose – – Dose which results in only temporary shrinkage of tumor having rarely palliative value if any and with no lethal effect..

Supra lethal dose - dose to tumor which gives a slow response giving rise to an indurate mass with sloughing of tumour centre & ultimately frequent recurrences at a later date

Integral dose – Total amt of energy absorbed at each and every point inside T/T volume. It should be minimum provided adequacy of tumor irradiation & sparing of critical organs are not compromised.

Page 19: Time , Dose & Fractionationrevised

TIME Time factor is overall time to deliver

prescribed dose from beginning of course of radiation until its completion.

Therapy effect varies enormously with time.

General rule is longer the overall duration of treatment greater is the dose required to produce a particular effect.

Hence dose should always be stated in relation to time.

Page 20: Time , Dose & Fractionationrevised

TIME For curative purposes overall t/t is 5-6wks

Better tumor control with minimal morbidity Tumor suppression can be monitored. Radiation reactions can be monitored.

If treatment time is more than 6wks then dose has to be increased

Short duration treatment time is justified for Treatment of small lesions To treat aged persons Palliative treatments Tumors with high therapeutic ratio e.g. skin

tumors

Page 21: Time , Dose & Fractionationrevised

FRACTIONATION Refers to division of total dose into no. of

separate fractions over total t/t conventionally given on daily basis , usually 5days a wk.

Size of each dose # whether for cure or palliation depends on tumor dose as well as normal tissue tolerance .

e.g. if 40Gy is to be delivered in 20# in a time of 4wks then daily dose is 2Gy.

Page 22: Time , Dose & Fractionationrevised

HISTORICAL REVIEW X-ray were used for radiotherapy just 1

month after its discovery in a fractionated course because of the primitive X-ray machines available at that time & their low output

To deliver a single dose to destroy a tumor would require several hours or even days.

Single fraction radiotherapy became feasible only in 1914 with the advent of Coolidge hot cathode tube, with high output, adjustable tube currents & reproducible exposures.

Page 23: Time , Dose & Fractionationrevised

HISTORICAL REVIEW Earlier some radiotherapists

believed that fractionated treatment was inferior & single dose was necessary to cure cancer.

While radiobiological experiments conducted in France favored fractionated regimen for radiotherapy which allows cancerocidal dose to be delivered without exceeding normal tissue tolerance

Page 24: Time , Dose & Fractionationrevised

RADIOBIOLOGICAL RATIONALE FOR FRACTIONATION Delivery of tumorocidal dose in small dose

fractions in conventional multifraction regimen is based on 4R’s of radiobiology namely Repair of SLD Repopulation Redistribution Reoxygenation

Radio sensitivity is considered by some authors to be 5th R of radiobiology.

Page 25: Time , Dose & Fractionationrevised

RADIATION DAMAGE CLASSIFICATION Radiation damage to mammalian cells are

divided into three categories: Lethal damage :irreversible, irreparable &

leads to cell death Sub lethal damage : can be repaired in hours

unless additional sub lethal damage is added to it

Potentially lethal damage : can be manipulated by repair when cells are allowed to remain in non-dividing state.

Page 26: Time , Dose & Fractionationrevised

REPAIR

Most important rationale for fractionation Mammalian cells can repair radn damage in b/w dose

fractions. This is a complex process involving repair of SLD by a variety of repair enzymes & pathways.

Since tumerocidal doses are very high as compared to NTT there are two ways to deliver such high doses: One option is to deliver much higher dose to tumor than to

normal tissue – basis of conformal radiotherapy Other option is to fractionate the dose. So that there is sufficient

time b/w consecutive fractions for complete repair of all cell that suffered SLD during 1st # before 2nd #& so on.

So small dose /# spares late reactions preferentially & a reasonable schedule duration allows regeneration of early reacting tissues.

Page 27: Time , Dose & Fractionationrevised

SLD & ITS REPAIR Initial shoulder in cell

survival curve reflects ability of cells to accumulate SLD

Ability of cells to recover from SLD demonstrated by Elkind & Sutton by split dose experiments.

A given total dose delivered as single # is found to be more effective compared to same dose delivered in more #s.

Page 28: Time , Dose & Fractionationrevised

Redistribution Increase in survival during 1st

2hrs in split dose experiment results from repair of SLD

If interval b/w doses is 6hrs then resistant cells move to sensitive phases

If interval is more than 6hrs then cells will repopulate & results in increase of surviving fraction.

Hence dose fractionation enable normal tissue to recover b/w #s reducing damage to normal tissue

Ability of normal tissue to repair radn damage better than tumor forms basis of fractionation.

Page 29: Time , Dose & Fractionationrevised

Redistribution of proliferating cell populations throughout the cell cycle increases cell kill in fractionated treatment relative to a single session treatment.

Cells are most sensitive during M & G2 phase & are resistant during S phase of cell cycle .

Redistribution can be a benefit in fractionated course of RT if cells are caught in sensitive phase after each fraction .

Redistribution

Page 30: Time , Dose & Fractionationrevised

Repopulation In b/w dose fractions normal cells as well as

tumor cells repopulate. So longer a radiotherapy course lasts, more

difficult it becomes to control tumor & may be detrimental

But acutely responding normal tissue need to repopulate during course of radiotherapy .

Thus fractionation must be controlled so as not to allow too much time for excessive repopulation of tumor cells at the same time not treating so fast that acute tolerance is exceeded

Page 31: Time , Dose & Fractionationrevised

ACCELERATED REPOPULATION

Treatment with any cytotoxic agent , including radn , triggers surviving cells (clonogens) in a tumor to divide faster than before

Dose escalation is needed to overcome this proliferation.

e.g. it starts in head & neck cancer 4wks after initiation of fractionated RT

Implication Treatment should be completed as soon after it is

started . It is better to delay a treatment than to introduce

delay during treatment .

Page 32: Time , Dose & Fractionationrevised

Reoygenation Cells at the center of

tumor are hypoxic & are resistant to low LET radiation.

Hypoxic cells get reoxygenated occurs during a fractionated course of treatment, making them more radiosensitive to subsequent doses of radiation.

Page 33: Time , Dose & Fractionationrevised

ADV. OF FRACTIONATION Acute effects of single dose of radiation can be

decreased Pt.’s tolerance improves with fractionated RT Exploits diff. in recovery rate b/w normal tissues &

tumors. Radn induced redistribution & sensitization of

rapidly proliferating cells. Reduction in hypoxic cells leads to –

Reoxygenation Opening of compressed blood vessels

Reduction in no. of tumor cells with each dose #

Page 34: Time , Dose & Fractionationrevised

RADIATION RESPONSE Response of all normal tissues to

radn is not same Depending on their response

tissues are either Early responding – constitute fast

proliferating cells such as skin, mucosa, intestinal epithelium, colon, testis etc.

Late responding – have large no. of cells in the resting phase e.g. spinal cord, bladder, lung, kidneys etc.

Early responding tissues are triggered to proliferate within 2-3wks after start of fractionated RT.

Prolonging overall treatment time can reduce acute reactions without sparing late damage

Page 35: Time , Dose & Fractionationrevised

VARIOUS FRACTIONATION SCHEDULES Fractionated radiation exploits difference

in 4R’s between tumors and normal tissue thereby improving therapeutic index

Types Conventional Altered

Hyper fractionation Accelerated fractionation Split course Hypofractionation

Page 36: Time , Dose & Fractionationrevised

Conventional fractionation Division of dose into multiple # spares normal

tissue through repair of SLD b/w dose #s & repopulation of cells. The former is greater for late reacting tissues & the later for early reacting tissues.

Concurrently , fractionation increases tumor damage through reoxygenation & redistribution of tumor cells.

Hence a balance is achieved b/w the response of tumor & early & late reacting normal tissue.

Most common fractionation for curative radiotherapy is 1.8 to 2.2Gy/#

Page 37: Time , Dose & Fractionationrevised

CONVENTIONAL FRACTIONATION Evolved as conventional regimen because it

is Convenient (no weekend treatment) Efficient (treatment every weekday) Effective (high doses can be delivered without

exceeding either acute or chronic normal tissue tolerance)

Allows upkeep of machines. Rationale for using conventional fractionation

Most tried & trusted method Both tumorocidal & tolerance doses are well

documented

Page 38: Time , Dose & Fractionationrevised

HYPERFRACTIONATION Rationale –

To take maximal adv. of diff. in repair capacity of late reacting normal tissue compared with tumors.

Radio sensitization through redistribution. Pure hyper fractionation – total dose & over all

t/t same as conventional regimen but delivering dose in twice as many #s i.e. treating twice daily.

Impure hyper fractionation - Since dose/# decreases hence total dose need to be increased.

Page 39: Time , Dose & Fractionationrevised

HYPERFRACTIONATION A hyper fractionated schedule of

80.5Gy/70#(1.15Gy twice/day)/7wks compared with 70Gy/35#/7wks in head & neck cancer.

Implications – Increased local tumor control at 5yr from 40

to59% Reflected in improved survival No increase in side effects

Page 40: Time , Dose & Fractionationrevised

ACCELERATED TREATMENT Alternative to hyper fractionation Rationale – To reduce repopulation in rapidly

proliferating tumors by reducing overall treatment time.

Pure accelerated treatment – same total dose delivered in half the overall time by giving 2or more #s/day. but it is not possible to achieve as acute effects become limiting factor.

Impure accelerated treatment – dose is reduced or rest period is interposed in the middle of treatment.

Page 41: Time , Dose & Fractionationrevised

Types of accelerated fraction Multiple std # / day Comparison of head & neck cases

accelerated regimen 72Gy/45# (1.6Gy,3#/day)/5wks with 70Gy/35#/7wks

Implications – 15% increase in loco regional control No survival adv. Increased acute effects Unexpected increase in late complications

Page 42: Time , Dose & Fractionationrevised

ACCELERATED TREATMENT Concomitant boost

Developed at M.D. Anderson cancer centre Boost dose to a reduced volume given

concomitantly , with t/t of initial layer volume Conv 54Gy in 30 # over 6 wks & boost dose of

1.5 Gy per # in last 12 # with Inter # interval of 6 hr in last 12#

large field gets 54 Gy & boost field 72 Gy in 6 wks time

E.g. Head and Neck cancer

Page 43: Time , Dose & Fractionationrevised

CHART Regimen conceived at Mount Vernon Hospital, London With CHART treatments 6hrs apart delivered 3times a

day,7daya a wk. with dose # of 1.5Gy, total dose of 54Gy can be delivered in 36# over 12 consecutive days including weekends.

This schedule was chosen to complete treatment before acute reactions start appearing i.e. 2wks

Characteristics Low dose /# Short treatment time No gap in treatment, 3#/day at 6hr interval

Implications- Better local tumor control Acute reactions are brisk but peak after treatment is completed Dose/# small hence late effects acceptable Promising clinical results achieved with considerable trauma to

pt.

Page 44: Time , Dose & Fractionationrevised

SPLIT-COURSE Total dose is delivered in two halves with a

gap in b/w with interval of 4wks. Purpose of gap is

to allow elderly pts. to recover from acute reactions of treatment

to exclude pts. from further morbidity who have poorly tolerated 1st half or disease progressed despite treatment.

Applied to elderly pts. in radical treatment of ca bladder & prostate & lung cancer.

Disadv : impaired tumor control due to prolong T/T time that results in tumor cell repopulation

Page 45: Time , Dose & Fractionationrevised

HYPOFRACTIONATION High dose is delivered in 2-3# / wk Rationale

Treatment completed in a shorter period of time. Machine time well utilized for busy centers. Higher dose /# gives better control for larger tumors. Higher dose /# also useful for hypoxic fraction of

large tumor. Disadv. Higher potential for late normal tissue

complications. E.g. 5oGy/10#/5wks treating 2 days a wk in

head & neck cancer.

Page 46: Time , Dose & Fractionationrevised

conventional

Hyper fractionation

Accelerated fractionation

Concomitant boost

Split - course

Hypo fractionation

Page 47: Time , Dose & Fractionationrevised

TIME DOSE MODELS With introduction of various fractionation

schemes in radiotherapy need for quantitative comparisons of treatments was felt in order to optimize treatment for particular tumor.

Strandquist was 1st to device scientific approach for correlating dose to overall t/t to produce an equivalent biological isoeffect.

Page 48: Time , Dose & Fractionationrevised

CUBE ROOT MODEL By Strandqvist (1944) He demonstrated that

isoeffect curves (i.e. dose vs. no. of #s to produce equal biological effect) on log-log graph for skin reactions (erythema & skin tolerance) were st. lines with a slope of 0.33 i.e.

As these plots were for fixed no. of #s N hence T was linear function of N & D was proportional to cube root of N also

33.0TD D

ose

in R

Time in daysA - Skin necrosis C – moist

desquamation

B – cure for skin carcinoma D – dry desquamation

E – skin erythema

A

B

CD

E

1 3 7 10 20

2

Page 49: Time , Dose & Fractionationrevised

Cohen’s Cohen analyzed three diff. set of data of

skin damage with end points as weak or strong erythema &skin tolerance.

Cohen found an exponent of 0.33for skin erythema / skin tolerance & 0.22 for skin cancers.

According to Cohen’s results, relationship b/w total dose & overall treatment time for normal tissue tolerance & tumor can be written as

Where K1& K2 are proportionality constants. Dn, Dt &T are normal tissue tolerance dose , tumor lethal dose & overall treatment time respectively

The exponents ,0.33& 0.22 of time factor represents the repair capabilities of normal tissue & tumor cells respectively.

22.02

33.01

TKD

TKD

t

n

Page 50: Time , Dose & Fractionationrevised

Fowler Difference in exponents of time factor in Cohen’s

formulations indicate that repair capacity of normal tissue is larger than that of tumor

Fowler carried experimental studies on pig skin showing normal tissue have two type of repair capabilities Intracellular – having short repair half time of 0.5 to

3hrs & is complete within few hrs of irradiation. multiplicity of completion of recovery is equal to no. of #s.

Hence no. of #s are more important than overall t/t Homeostatic recovery that takes longer time to

complete This led Ellis to formulate NSD

Page 51: Time , Dose & Fractionationrevised

NSD MODEL According to Ellis ‘s NSD formula time

factor was a composite of N (no. of #s) & T (overall treatment time)

Exponents for intracellular & homeostatic recovery are 0.22 & 0.33-0.22=0.11 respectively

Fractionation is twice as important as time according to clinical observations of Ellis.

Hence dose is related to time & no. of #s as

Where NSD (nominal stand. Dose) is proportionality constant for specific level of skin damage

24.011.0)( NTNSDD

Page 52: Time , Dose & Fractionationrevised

TDF Developed by Ortan & Ellis (1973) In a complex multi-phase treatment protocol, total

effective partial tolerance: PT = (PT)a + (PT)b + …+ (PT)n

And to compare this protocol with another with partial tolerance PT’

(PT)a + (PT)b + …+ (PT)n = (PT)’a + (PT)’b + …+ (PT)’n Basic formula of NSD is NSD = D x T-0.11 x N-0.24

Replacing D= nd (where n – no. of #s & d – dose/#) T= T/N for fixed no. of #s

Page 53: Time , Dose & Fractionationrevised

TDF contd. NSD = Nd x (T /N) -0.11 x N -0.24

Or NSD = d x T/N) -0.11 x N0.65

Raising both side of equation to power 1.538 TDF = 10 -3 x NSD 1.538 = Nd 1.538 (T/N) -0.17 x 10-3

Where 10 -3 is scaling factor TDF = 1.19 Nd 1.54 (T/N) -0.17

Allowance must be made for repopulation during rest period or break

According to Ellis, TDF before break should be reduced by decay factor to calculate TDF after break

Decay factor =

Where T days is time from beginning if course of radiotherapy to break & R days is length of rest period.

11.0

RT

T

Page 54: Time , Dose & Fractionationrevised

CRITICISMS OF NSD Do not take into account complex biological processes that

take place during or after irradiation Values of exponent of N in NSD eq. are not same foe diff.

tissue types. Validity of NSD w.r.t. different effects in same tissue is

doubtful. For late effects in skin the influence of no. of #s may be considerably larger than for acute skin responses

Uncertainty relates to no. of #s for which formula provides reasonable approximation of tolerance dose of a given tissue. For effects in skin approximation is obtained b/w 10 to 25 #s

Another difficulty is with time factor T0.11. this suggests an increase in dose ay approx.20% in 1st week,10% in 2nd week& 5% in 3rd week. but for acute reactions in skin & mucosa accelerated repopulation starts only after 2-3wks after start of fractionated treatment while for late reacting tissue cell proliferation during the fractionated course(4-8 wks) is not expected to increase tolerance dose as predicted by NSD formula

Page 55: Time , Dose & Fractionationrevised

TARGET THEORY To express relationship b/w no. of cells

killed & dose delivered in mathematical terms Target theory was proposed by Crowther & expended by Lea.

Curve representing relation b/w dose & surviving # after radiation delivery is called survival curve.

Page 56: Time , Dose & Fractionationrevised

SIMPLE TARGET THEORY Also called single hit single target

theory. Single hit is sufficient to produce

measured effect or to inactivate a cell

The curve is exponential i.e. at low doses the relationship is linear as process continues larger doses are required to inactivate same no. of organisms.

Where 1/Do is constant of proportionality

Dp

pes

DD

Po

1

oDD

eS

Page 57: Time , Dose & Fractionationrevised

SIMPLE TARGET THEORY Where Do is the mean lethal dose that will

produce avg. one hit per cell such log survival curve is linear showing Do as

dose that reduce cell survival fraction to 37% Such curves are observed in mammalians cells

only When cell are irradiated with high LET radn

e.g. α - particles When cells irradiated are synchronized in most

sensitive phases of cell cycle (lateG2 or M)

Page 58: Time , Dose & Fractionationrevised

MULTITARGET THEORY According to this theory some

organisms contain more than one target & to inactivate organism each target should receive one hit

Survival curves corresponding to this theory start with less sensitive region at low doses & show exponential behavior at large doses i.e. curves show a shoulder region in the beginning.

Such curves are observed when mammalian cells are irradiated with low LET radn e.g. x-rays

Shoulder represents cells in which fewer than n targets have been damaged after receiving a dose D i.e. cells have received SLD which can be repaired.

Page 59: Time , Dose & Fractionationrevised

LINEAR QUADRATIC MODEL Basis of LQ theory is that cell

is damaged when both strands of DNA are damaged.

This can be produced either by single ionizing particle i.e.

Where α is constant of proportionality

Or it can be accomplished by independent interaction by two separate ionizing particles such that

DE

DeS

DE

2DE 2DE

DeS

Page 60: Time , Dose & Fractionationrevised

LINEAR QUADRATIC MODEL Overall LQ eq. for cell survival is

therefore

This shows the two components to cell killing, α- damage (irreparable) & β- damage (reparable) combine to form cell survival curve.

D= α / β is the dose at which log surviving # for α- damage equals that for β- damage.

Parameter α / β represents curviness of cell survival curve.

Higher the α / β, straighter is the curve & cells show little repair of SLD while low α / β indicates high capability of repair.

Tumor usually have high α / β values in range of 5-20Gy (mean 10Gy) while late responding normal tissue have α / β in range 1-4Gy (mean 2.5Gy)

2DDeS

Densely ionizing particles

βD2

αD

α/β

Sparsely ionizing particles

4 8 12

Page 61: Time , Dose & Fractionationrevised

LQ MODEL NSD & TDF models are empirical models while LQ model is

derived from cell survival curves. LQ model is based on fundamental mechanism of

interaction of radn with biological systems. Biologically effective dose is the quantity by which diff.

fractionation regimens are intercom pared BED = total dose x relative effectiveness

Where n - no. of #s d - dose/#

d

ndE 1

Page 62: Time , Dose & Fractionationrevised

RADIATION RESPONSE Survival curves of early & late

responding cells have different shapes.

Curves for late responding tissue are more curved because of difference in repair capacity of late & early responding tissues.

In terms of linear quadratic relationship b/w effect & dose this translates into larger α/β ratio for early than late effects.

If fewer & larger dose #s are given late reactions are more severe.

It can be interpreted as diff. in repair capacity or shoulder shape of underlying dose – response curve.

acutelate

Cell

surv

ival

dose

Page 63: Time , Dose & Fractionationrevised

EXPLANATION FOR DIFF. IN SHAPE OF EARLY & LATE RESPONDING TISSUES

The radio sensitivity of a population of cells varies with the distribution of cells through the cycle .

Two different cell populations may be radio resistant :-

1. Population proliferating so fast that S phase occupies a major portion of cycle .

2. Population proliferating so slowly that many cells are in early G1 or not proliferating at all so that cells are in resting (G0) phase.

Page 64: Time , Dose & Fractionationrevised

1. Population proliferating so fast that S phase occupies a major portion of cycle . Redistribution occurs through all phases of cell

cycle in such population & is referred to as self sensitizing activity.

New cells produced by fast proliferating population offset cells killed by dose #s & thus offers resistance to effect of radiation in acutely responding tissues & tumors.

Thus proliferation occurring b/w dose #s help in repopulation of normal tissue (i.e. spares normal tissue) at the risk of tumor repopulation

Page 65: Time , Dose & Fractionationrevised

EXPLANATION FOR DIFF. IN SHAPE OF EARLY & LATE RESPONDING TISSUES

2. Population proliferating so slowly that many cells are in early G1 or not proliferating at all so that cells are in resting (G0) phase. Hence late responding normal tissue are

resistant due to presence of many resting cells. Such resistance disappears at high dose/#

Page 66: Time , Dose & Fractionationrevised

IMPLICATIONS For early effects α/β is large, as a

consequence α i.e. irreparable damage dominates at low doses & dose – response curve has marked initial slope & bends at higher doses.

For late effects α/β is small ,i.e. β term (repairable damage) has an influence at low doses.

Implications of diff. in shape of dose – response curves of early & late reacting tissues :-

If fractionation regimen is changed from many small doses to few large dose fractions leads to severe late tissue toxicity.

Late reacting tissues are more sensitive to changes in fractionation pattern than early responding tissues.

dose

Cell su

rviv

al

lateacute

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To calculate new total dose required to keep biological effectiveness of course of therapy unchanged when a conventional fractionation schedule has been altered.

To compare treatment technique that differ in dose/#, no. of #s, and/or overall t/t.

To strive for optimal fractionation regimen.

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Response to multifraction radiation therapy is illustrated by three cell populations :- Tumor Early responding tissue Late responding tissue

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