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Numerical and experimental investigation on the breast cancer tumour parameters by inverse heat transfer method using genetic algorithm and image processing

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Abstract

This study presents numerical and experimental investigation on breast cancer tumour parameters by inverse heat transfer method using genetic algorithm (GA) and image processing (IP) to determine the depth and rate of heat generation of a breast cancer tumour. To simulate the problem, using the energy equation in a cylinder including a heater, the surface temperature distribution was obtained. Then, the temperature surface of the cylinder was analysed by the GA in MATLAB software to determine the depth and rate of heat generation of heater. The validity of the numerical method was evaluated using the IP from a laboratory sample. A thermal heater was placed inside a cylinder and was covered by a tissue similar to the human body tissue. According to the obtained results, it was determined that the results of the laboratory sample and the numerical method were in agreement with each other. Finally, these steps were applied on the thermal image of a patient’s cancer breast to determine the depth and rate of heat generation of the breast tumour. It is shown that the average computational error between numerical and experimental results in this method to determine the depth of the tumour is about 8–10% and to determine the rate of tumour heat generation is about 0.01–1%.

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Abbreviations

C :

specific heat capacity, J/kg K

h :

average convection coefficient, W/m2K

k :

thermal conductivity, W/m K

\( \dot{Q}_{m} \) :

heat generation, W/m3

r :

r-coordinate

R :

radius of the tumour, m

S :

sum of squares

T :

temperature, °C

t :

time, s

Y :

calculated or measured temperature vector

β :

unknown parameter vector

ρ :

density

ω :

blood perfusion term

a :

arterial

b :

blood

m :

metabolic

T:

transpose

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Author information

Authors and Affiliations

  1. Radiotherapy and Oncology Department, Shafa Hospital, Kerman University of Medical Sciences, Kerman, Iran

    MARYAM BAHADOR

  2. Department of Mechanical Engineering, Kerman Branch, Islamic Azad University, Kerman, Iran

    MOHAMMAD MEHDI KESHTKAR & AMIN ZARIEE

Authors
  1. MARYAM BAHADOR
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  2. MOHAMMAD MEHDI KESHTKAR
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  3. AMIN ZARIEE
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Corresponding author

Correspondence to MOHAMMAD MEHDI KESHTKAR.

Appendix

Appendix

Specification for the FLIR E50 infrared camera.

Imaging performance

 IR resolution

240 × 180 pixels

 Spatial resolution

1.82 mrad

 Thermal

< 0.05°C

 Sensitivity zoom

1–4× continuous digital zoom, incl. panning

Image presentation

 Picture in picture

Scalable IR area on visual image

 Thermal fusion

Yes

 Image modes

IR image, visual image, thermal fusion, picture-in-picture, thumbnail gallery

Measurement

 Object temperature range

– 20 to +120°C/0 to +650°C

Measurement analysis

 Spot meter

3

 Area

3 boxes with min./max./average

 Difference temperature

Delta temperature between measurement functions or reference temperature

 Reporting instant report

N/A

 Digital camera built-in digital camera

3.1 Mpixels, and one LED light

Image annotations

 Voice

60 s via Bluetooth®

 Text

Text from predefined list or soft keyboard on touch screen

 MeterLink

Bluetooth, Extech moisture meter MO297 or Extech clamp meter EX845

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BAHADOR, M., KESHTKAR, M.M. & ZARIEE, A. Numerical and experimental investigation on the breast cancer tumour parameters by inverse heat transfer method using genetic algorithm and image processing. Sādhanā 43, 142 (2018). https://doi.org/10.1007/s12046-018-0900-4

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  • DOI: https://doi.org/10.1007/s12046-018-0900-4

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