Three-Dimensional Modeling of Ultrasound Cancer Imaging
Mohammad Daoud
Three-Dimensional Modeling of Ultrasound Cancer Imaging Mohammad - - PowerPoint PPT Presentation
Three-Dimensional Modeling of Ultrasound Cancer Imaging Mohammad Daoud Introduction High-frequency (20-60 MHz) ultrasound imaging can be used to track tumour growth in preclinical cancer research N N 1 mm K. C. Graham et. al. , Cancer Res.
Mohammad Daoud
High-frequency (20-60 MHz) ultrasound imaging can be used to track tumour growth in preclinical cancer research
1 mm N N
Tumour size and shape
Additional information about tumour microstructure
Develop a parallel three-dimensional (3D) ultrasound simulator Develop a 3D computational model of tissue microanatomy Use the ultrasound simulator and the tissue model to simulate ultrasound imaging of animal cancer models
Tabei et al. presented a two-dimensional (2D) k-space method1 based on coupled first-order wave equations The first-order k-space method incorporates frequency- dependent absorption
) , ( ) ( ) ( 1 ) , ( ) ( 1
2 2 2
t t r p r c r t r p r t t r u r t r p ) , ( ) ( ) , ( t t r p r c r t r u ) , ( ) ( ) ( 1 ) , (
2
Spatial derivative evaluation Temporal derivative evaluation
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F F
t t t y x t y x t t y x ) , , ( ) , , ( ) , , (
)} , , ( { ) , , ( t y x ik y t y x
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F F
)}} , , ( { ) 2 / ( sinc { ) , , (
1 ) ( 0
t y x ik tk c x t y x
x t c
F F
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1 ) ( 0
t y x ik tk c y t y x
y t c
F F
Spatial derivative evaluation + temporal correction term
k-space propagation operator
Correction term Fourier transform of spatial derivative
The first-order k-space method is extended to compute 3D acoustic propagation The 3D k-space method is implemented to run on distributed-memory computer clusters
Propagation medium Ultrasound transducer
ny nx nz
Processor 1 Processor m-1 Processor m nx ny
Fat Connective tissue Water
The incident pulse has a Gaussian envelope, a center frequency of 40 MHz, and −6-dB bandwidth of 24 MHz
y x z
Scale bar = 0.5 mm Serial simulation time: 357.5 hours Parallel simulation time (20 processors): 18.6 hours
Tissue Computational Model
Nucleus Cytoplasm Extracellular matrix
Modeled Structural Properties
Nuclear volume fraction: nuclei volumes divided by total tissue volume Nuclear size distribution: histogram of the nuclei diameters Ratio of cell diameter to nucleus diameter Spatial organization of cells: descriptors of the 3D spatial organization of nuclei in tissue
Simulated Tissue vs. DAPI - Healthy Tissue
30µ 30µ
Simulated Tissue vs. DAPI - Tumour Tissue
30µ 30µ 30µ 30µ
Experimental Ultrasound Imaging
VisualSonics Vevo 770
www.visualsonics.com
Experimental Ultrasound Imaging
Simulated vs. Experimental Images - Healthy Tissue
Simulated B-mode image Experimental B-mode image Scale bar = 94 µm
Gray Level Histogram of Healthy Tissue
Simulated vs. Experimental Images - Tumour Tissue
Simulated B-mode image Experimental B-mode image Scale bar = 94 µm
Gray Level Histogram of Tumour Tissue