Breast with embedded tumour Breast thermography is used as a complementary examination method for breast cancer identification. It is a painless procedure involving the use of infrared imaging to measure skin temperature. for a breast with a developing tumour, this temperature can be higher than normal by 1 to 3 degrees, it can be used to detect such tumours [26, 100-101]. Numerical modelling has been used to understand and help predict how tumours of different sizes and at different locations affect the skin temperature. The model considered here is similar to that examined by Amri et al.[26]. The governing equation used to model the heat transfer in a breast is, when simplified to one dimension, where , and are the tissue density, heat capacity and thermal conductivity, b is the c k blood perfusion rate, is the blood heat capacity, is metabolic heat generation rate cb Qm and is the arterial blood temperature. Ta In the one-dimensional transient study conducted by Amri et al, the surface of the breast is located at = 0 and the tumour is located at a distance of = The surface of the x x . breast is assumed to be at a constant temperature, which could be produced through T∞, contact with a hot or cold plate. The temperature of the tumour is also assumed to be constant, The model is illustrated in . Tc. Figure 32: One-dimensional of the healthy tissue between tumour and breast surface. The initial temperature is given by [26] where = bbcb/k. A The results presented here are for a problem with model length  = 50mm, tissue properties of 1050kg/m3, 3800J/kg°C, 20W/m2 , =, = = c = cc = h0 = ρ ρb ωb = 400W/m3, and = 0.5W/m°C, and with temperatures of = 37°C, Qm k Tc Ta= Tf = 28°C and = 49°C. The temperature profile between the skin and the tumour has T∞
Breast with embedded tumour Breast thermography is used as a complementary examination method for breast cancer identification. It is a painless procedure involving the use of infrared imaging to measure skin temperature. for a breast with a developing tumour, this temperature can be higher than normal by 1 to 3 degrees, it can be used to detect such tumours [26, 100-101]. Numerical modelling has been used to understand and help predict how tumours of different sizes and at different locations affect the skin temperature. The model considered here is similar to that examined by Amri et al.[26]. The governing equation used to model the heat transfer in a breast is, when simplified to one dimension, where , c and k are the tissue density, heat capacity and thermal conductivity, b is the blood perfusion rate, cb is the blood heat capacity, Qm is metabolic heat generation rate and Ta is the arterial blood temperature. In the one-dimensional transient study conducted by Amri et al, the surface of the breast is located at x = 0 and the tumour is located at a distance of x = . The surface of the breast is assumed to be at a constant temperature, T∞, which could be produced through contact with a hot or cold plate. The temperature of the tumour is also assumed to be constant, Tc. The model is illustrated in . Figure 32: One-dimensional of the healthy tissue between tumour and breast surface. The initial temperature is given by [26] where A = bbcb/k. The results presented here are for a problem with model length  = 50mm, tissue properties of ρ = ρb = 1050kg/m3, c = cc = 3800J/kg°C, h0 = 20W/m2 , ωb =, Qm = 400W/m3, and k = 0.5W/m°C, and with temperatures of Tc = Ta= 37°C, Tf = 28°C and T∞ = 49°C. The temperature profile between the skin and the tumour has
Numerical_modelling_of_convection-reaction-diffusion_problems_using_electrical_analogues.docx