Energy Dissipation in Finite Cavities

Charlton, D.E.; Cormack, D. V.

doi:10.2307/3571208

Cited by 42 publications

(14 citation statements)

References 8 publications

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“…A similar treatment (Charlton and Cormack, 1962) for the dose D(d, D) at a point within an infinitely long cylindrical cavity gives the result Table II) derived from a consideration of the energy flux across an interface (see Table III). …”

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confidence: 95%

“…A method for calculating the alpha-ray dosage to soft tissuefilled cavities in bone by D. E. Charlton, M.Sc, and D. V. Cormack, Ph.D. University of Saskatchewan and Saskatoon Cancer Clinic, Saskatoon, Canada (Received November, 1961) In a recent paper (Charlton and Cormack, 1962) a method for calculating the energy dissipated by electrons near interfaces of bone and soft tissue was developed. In the present paper this method will be applied to determine the functions needed to calculate the dose to soft tissue from a uniformly distributed a emitter in bone.…”

mentioning

confidence: 99%

“…

The dose to a point in soft tissue a distance d from a plane bone-soft tissue interface can be given by,

Since the LET is given in terms of a residual range R then the LET at P (Fig.

…”

mentioning

confidence: 99%

“…In a recent paper (Charlton and Cormack, 1962) a method for calculating the energy dissipated by electrons near interfaces of bone and soft tissue was developed. In the present paper this method will be applied to determine the functions needed to calculate the dose to soft tissue from a uniformly distributed a emitter in bone.…”

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confidence: 99%

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A Method for Calculating the Alpha-ray Dosage to Soft Tissue-filled Cavities in Bone

Charlton¹,

Cormack²

1962

BJR

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In a recent paper (Charlton and Cormack, 1962) a method for calculating the energy dissipated by electrons near interfaces of bone and soft tissue was developed. In the present paper this method will be applied to determine the functions needed to calculate the dose to soft tissue from a uniformly distributed a emitter in bone.The dose to a point in soft tissue a distance d from a plane bone-soft tissue interface can be given by,Since the LET is given in terms of a residual range R then the LET at P (Fig. 1) will bewhere rt is the distance the a particle would have to travel in soft tissue to lose the same amount of energy as it loses in travelling a distance r, partly in soft tissue and partly in bone.where R o is the range of an a particle of initial energy E o , N o is the number of a particles emitted per cm 3 of bone, (-I is the linear energy transfer \dR/ p (LET) of the a particles as they pass through P, and other parameters are as shown in Fig. 1.For a particles of energy between 1 and 10 MeV the relationship between a-particle range and energy may be expressed bywhere R is the range of an a particle as its energy drops from E to zero, and A and m are empirical constants which can be found from experimental data (see paragraph 2). The LET may be found in terms of the range by differentiating equation (2) \dRj m \A Ri.e. an a particle which has sufficient energy to travel a distance R has an LET given by equation (3). BONE SOFT TISSUE FIG. 1. The geometry used in calculating the energy dissipation near a plane bone-soft tissue interface.If n is the ratio of the range in soft tissue of an a particle of energy E to the range of the same 473

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confidence: 95%

mentioning

confidence: 99%

“…

The dose to a point in soft tissue a distance d from a plane bone-soft tissue interface can be given by,

Since the LET is given in terms of a residual range R then the LET at P (Fig.

…”

mentioning

confidence: 99%

mentioning

confidence: 99%

See 2 more Smart Citations

A Method for Calculating the Alpha-ray Dosage to Soft Tissue-filled Cavities in Bone

Charlton¹,

Cormack²

1962

BJR

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“…The simplified model has frequently been invoked in dosimetric computations (29,30), and it is supported by a consideration of the proximity functions.…”

Section: Factors Involved In the Distance Distributions T(x) = T*(x) mentioning

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Proximity Functions for Electrons up to 10 keV

Chmelevsky¹,

Kellerer²,

Terrissol³

et al. 1980

Radiation Research

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Proximity functions for electrons up to 10 keV in water are computed from simulated particle tracks. Numerical results are given for the differential functions t(x) and the integral functions T(x). Basic characteristics of these functions and their connections to other microdosimetric quantities are considered. As an example of the applicability of the proximity functions, the quantity yD for spheres is derived from t(x).

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The Radioprotective Effect of Bacterial Endotoxin

Behling

1983

Beneficial Effects of Endotoxins

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Energy Dissipation in Finite Cavities

Cited by 42 publications

References 8 publications

A Method for Calculating the Alpha-ray Dosage to Soft Tissue-filled Cavities in Bone

A Method for Calculating the Alpha-ray Dosage to Soft Tissue-filled Cavities in Bone

Proximity Functions for Electrons up to 10 keV

The Radioprotective Effect of Bacterial Endotoxin

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