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Derivation of the HSEF
‘Le

cueve

ts?

The derivation of the HSEF is described in detail elsewhere

(3,11-13).

The basic input information consists of quite accurately

determined organ absorbed dose-cell response data, for a series of
radiations covering a wide span of qualities.

In addition, it is necessary

in in the

to have quite accurately determined microdosimetric data, that will provide

ion

both the number of hits per cell and the hit-size distributions.

of

These.

The areas = “*

distributions overlap, as can be seen in Figure 4.

the upper

assume that hits of a given size in a small enough target will have the

It is reasonable to

same effectiveness, independent of the hit size distribution of origin.
The effectiveness of the different distributions can then be obtained, and
the regions of overlap provide independent information on the effectiveness
of the individual hit sizes.
deconvolution process,

It is then possible, by an iterative

to arrive ultimately at an HSEF that most accurately

fits the input data.
This derivation is purely empirical,

f.e.,

it is

independent of

assumptions or theories about molecular or other subcellular mechanisms of
sizes
fF

the

action of

the radiations,

In other words, most 1€ not all of available

wodels or theories of radfobiological action begin with assumptions about

LET or

raed by the -

mechanisms, e.g.,

i the required

all of the cell transformations observed.

pacn could

.

1), and it courts

“ in LET is 0%

that double strand breaks may be responsible for some or
In derfving the HSEF, on the

other hand, only observed quantal responses are used.
Anomalies in the Present System

Several anomalies in the set of typical cell “dose response” curves

it refers.
-hets

shown in Fig. 1 can be pointed out immediately.

1

response is of individual cells,

doses»

organ.

cancers are

It is

the “dose”

taken to be axiomatic

that

é

P
re lationship,

che total n
; in the

the stimulus

to an individual,

be

Although the ie agent is purported to be

energy, Fig. 1 shows a number of "dose

be a

For instance, although the
the average for the entire

it a cell or an organ, must be measured at the same level as the initial
biological response.

exposures

its

+

umber of.

2

id be determined

oa

agent.

Also, as seen with lithium ions,

response” curves for that same
the same particle but with

different energies results in markedly different curve slopes.

In fact, by

suitable choice of particle and energy, more and more curves can readily be

added to the set until the roughly triangular area represented by the
curves is filled in completely and constitutes an area (Fig. 7).

This

shows the fallacy and futility of the present dose-response curve-RBE

-

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