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Toward in vivo lung's tissue incompressibility characterization for tumor motion modeling in radiation therapy
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10.1118/1.4798461
/content/aapm/journal/medphys/40/5/10.1118/1.4798461
http://aip.metastore.ingenta.com/content/aapm/journal/medphys/40/5/10.1118/1.4798461

Figures

Image of FIG. 1.
FIG. 1.

Lung volume variation throughout inhalation and exhalation phases with typical 12 breath/min.

Image of FIG. 2.
FIG. 2.

The phantom model utilized to investigate the effect of time variable Poisson's ratio. The model components including cylindrical lung tissue mimicking phantom, closed rigid cylinder mimicking the chest cavity, and springs which mimic the diaphragm are shown.

Image of FIG. 3.
FIG. 3.

Optimization algorithm block diagram of the lung tissue variable Poisson's ratio measurement.

Image of FIG. 4.
FIG. 4.

2D slices of the porcine lung 4D CT image sequence. (Left to right) End exhale to end inhale lung images.

Image of FIG. 5.
FIG. 5.

(a) 3D FE mesh of the porcine lung in the end exhale phase, (b) bright points represent nodes related to part of the lung that does not move throughout ventilation, (c) trachea related nodes which are assumed to be fixed during respiration, and (d) the resultant displacement field obtained by applying pressure loading in one phase of ventilation; the color bar shows the displacements in cm.

Image of FIG. 6.
FIG. 6.

(a) and (b) Pressure and Poisson's ratio functions of inhalation time applied to the phantom lung tissue, respectively. (c) Tumor trajectory in the z direction obtained from linear elastic material model with constant Poisson's ratio, Marlow hyperelastic model with constant Poisson's ratio (Marlow 1), and Marlow hyperelastic model with time-variable Poisson's ratio (Marlow 2).

Image of FIG. 7.
FIG. 7.

(a) Poisson's ratio and (b) pressure functions of the inhalation phase corresponding to the linear elastic model. The points represent data obtained from the optimization technique.

Image of FIG. 8.
FIG. 8.

(a) Poisson's ratio and (b) pressure functions of the inhalation phase corresponding to the Marlow hyperelastic with variable Poisson' ratio model. The points represent data obtained from the optimization technique.

Image of FIG. 9.
FIG. 9.

Difference images between 2D slices of the 4D CT image acquired during exhalation and its corresponding image simulated using: (a) the linear elastic model with variable Poisson's ratio, (b) Marlow hyperelastic model with variable Poisson's ratio, and (c) Marlow hyperelastic model with constant Poisson's ratio. Left to right correspond to end inhale to end exhale images.

Image of FIG. 10.
FIG. 10.

(a)–(e) Five anatomically distinct points tracked during the four exhalation phases using the acquired 4D-CT images and images calculated using the FE models.

Tables

Generic image for table
TABLE I.

Tumor displacement results obtained from the linear elastic and Marlow hyperelastic analysis in the numerical phantom study. All displacement values are in mm.

Generic image for table
TABLE II.

Incremental pressure and Poisson's ratio values obtained for the porcine lung using the optimization technique with the linear elastic model in conjunction with variable Poisson's ratio. Corresponding values of SSD, SSD, and the cost function are also reported. The reported are optimum values obtained using several initial guesses and lower and upper bounds.

Generic image for table
TABLE III.

Incremental pressure and Poisson's ratio values obtained for the porcine lung using the optimization technique with the Marlow hyperelastic model in conjunction with variable Poisson's ratio. Corresponding values of SSD, SSD, and cost function are also reported. The reported are the optimum values obtained using several initial guesses and lower and upper bounds.

Generic image for table
TABLE IV.

Incremental pressure and Poisson's ratio values obtained for the porcine lung using the optimization technique with the Marlow hyperelastic model in conjunction with a constant Poisson's ratio. Corresponding values of SSD, SSD, and cost functions are also reported. The reported are optimum values obtained using several initial guesses and lower and upper bounds.

Generic image for table
TABLE V.

Incremental SSD, SSD, and cost function values obtained from the validation process with the porcine lung model over the exhalation phase. These values were calculated using the linear elastic model with the variable pressure and Poisson's ratio values obtained from the inhalation phase analysis.

Generic image for table
TABLE VI.

Incremental SSD, SSD, and cost function values obtained from the validation process with the porcine lung model over the exhalation phase. These values were calculated using the Marlow hyperelastic model with the variable Poisson's ratio and pressure values obtained from the inhalation phase analysis.

Generic image for table
TABLE VII.

Incremental SSD, SSD, and cost function values obtained from the validation process with the porcine lung model over the exhalation phase. These values were calculated using the Marlow hyperelastic model with the constant Poisson's ratio and pressure values obtained from the inhalation phase analysis.

Generic image for table
TABLE VIII.

Coordinates errors of the five anatomically distinct points obtained through four exhalation phases. These errors are absolute differences between coordinates obtained from the acquired 4D-CT images and corresponding images constructed using the linear elastic based FE model with variable Poisson's ratio.

Generic image for table
TABLE IX.

Coordinates errors of the five anatomically distinct points obtained through four exhalation phases. These errors are absolute differences between coordinates obtained from the acquired 4D-CT images and corresponding images constructed using the Marlow based FE model with variable Poisson's ratio.

Generic image for table
TABLE X.

Coordinates errors of the five anatomically distinct points obtained through four exhalation phases. These errors are absolute differences between coordinates obtained from the acquired 4D-CT images and corresponding images constructed using the Marlow based FE model with constant Poisson's ratio.

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/content/aapm/journal/medphys/40/5/10.1118/1.4798461
2013-04-05
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Toward in vivo lung's tissue incompressibility characterization for tumor motion modeling in radiation therapy
http://aip.metastore.ingenta.com/content/aapm/journal/medphys/40/5/10.1118/1.4798461
10.1118/1.4798461
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