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An optimal control problem by controlling heat source of the surface of tissue

Yıl 2013, Cilt: 3 Sayı: 3, 8 - 18, 23.07.2016

Öz

A distributed optimal control problem for a system described by bio-heat equation for a homogeneous plane tissue is analytically investigated such that a desired temperature of the tissue at a particular point of location of tumour in hyperthermia can be attained at the end of a total time of operation of the process due to induced microwave on the surface of the tissue which is taken as control. Here the temperature of the tissue along the length of the tissue at different times of operation of the process are numerically calculated which display the rise of the desired temperature of the tumour

Kaynakça

  • Bagaria, H.G. , Johnson, D.T. (2005) Transient solution to the bioheat equation and optimization for magnetic fluid hyperthermia treatment. Int. J. of hyperthermia. 21(1), ( pp.57-75 )
  • Butkovasky, A.G. (1969) Distributed Control System, American Elsevier Publishing Company, (pp.334-335 ) New York.
  • Das, S.K., Clegg, T.S. and Samulski, T.V. (1999) Computational techniques for fast hyperthermia temperature optimization. Med. Phy. (pp.319-328), 26(2).
  • Deng, Z. S. and Liu, J. (2002) Analytical study of bioheat transfer problems with spatial or transient heating on skin surface or inside biological bodies. Trans. ASME J. Biomech. Eng. 124, (pp.638-649 ).
  • Dhar, P.K. and Sinha, D.K. (1989) Optimal temperature control in hyperthermia by artificial surface cooling. Int. J. Systems. Sci. 20(11), (pp. 2275-2282 ).
  • Dhar, P.K. and Sinha, D.K. (1988) Temperature Control of tissue by transient-induced microwave. Int. J. Systems. Sci. 19(10), (pp. 2051-2055 )
  • Dhar, P., Dhar, R. (2010). Optimal control for bio heat equaiton due to induced mocrowave, Appl. Math. Mech, 31, 4, (pp.529-535 )
  • Dhar, P., Dhar, R. ,Dhar, R. (2012). Analytical study on optimization problem in hyperthermia by controlling heating probe at tumour and surface cooling temperature. App. Math. Sc., 6(11), (pp. 533-543)
  • Kinuya, S., Yokoyama. K., Michigishi, T., Tonami, N. (2004) Optimization of radio-immunotherapy interactions with hyperthermia, Int J Hyperthermia.20, 2, (pp.190-200)
  • Kowalski, M.E. and Jin, J.M. (2003) A temperature-based feedback control system for electro-magnetic phased arrays hyperthermia: theory and simulation. Phys. Med. Biol. 48, (pp.633-651 )
  • Kuznetsov, A.V. (2006). Optimization problem for bio-heat equation, Int. comm in Heat and Mass Transfer, 33, (pp.537-543 )
  • Liu, Kuo-chi., Chen,H-T. (2009), Analysis for the dual-phase-lag bio-heat transfer during magnetic hyperthermia treatment, Int. J. Heat and Mass Transfer, 52, (pp.1185-1192)
  • Loulou, T. and Scott, E.P. (2002) Thermal dose optimization in hyperthermia treatments by using the conjugate gradient method. Numerical Heat Transfer. Part A 42, (pp.661-683 )
  • Rapoport, N. Ya.,Nam,K-H.,Gao,Z.,Kennedy,A. (2009). , Application of ultrasound for targeted nanotherapy of malignant tumors, Acoustical physics,55, 4-5,(pp.594-601)
  • Szasz, A., Vincze, G. (2006) Dose concept of oncological hyperthermia: Heat-equation considering the cell destruction, J. Can. Res.Ther.,2,(pp.171-181)
  • Shih,T- C., Liu,H- L.,Ju,K- C.,Hung,C- S., Chen,P- Y.,Huang,H- W.,Ho,Y- J. (2008).,The feasibility of heating on tumor periphery by using high intensity focused ultrasound thermal surgery, Int. Commu. Heat and Mass Transfer, 35, (pp. 439- 445)
  • Wagter, C.D. (1986) Optimization of simulated two-dimensional temperature distributions induced by multiple Electromagnetic Applicators. IEEE Trans, Micro Theory. Techni. MTT 34(5), (pp. 589-596 )
Yıl 2013, Cilt: 3 Sayı: 3, 8 - 18, 23.07.2016

Öz

Kaynakça

  • Bagaria, H.G. , Johnson, D.T. (2005) Transient solution to the bioheat equation and optimization for magnetic fluid hyperthermia treatment. Int. J. of hyperthermia. 21(1), ( pp.57-75 )
  • Butkovasky, A.G. (1969) Distributed Control System, American Elsevier Publishing Company, (pp.334-335 ) New York.
  • Das, S.K., Clegg, T.S. and Samulski, T.V. (1999) Computational techniques for fast hyperthermia temperature optimization. Med. Phy. (pp.319-328), 26(2).
  • Deng, Z. S. and Liu, J. (2002) Analytical study of bioheat transfer problems with spatial or transient heating on skin surface or inside biological bodies. Trans. ASME J. Biomech. Eng. 124, (pp.638-649 ).
  • Dhar, P.K. and Sinha, D.K. (1989) Optimal temperature control in hyperthermia by artificial surface cooling. Int. J. Systems. Sci. 20(11), (pp. 2275-2282 ).
  • Dhar, P.K. and Sinha, D.K. (1988) Temperature Control of tissue by transient-induced microwave. Int. J. Systems. Sci. 19(10), (pp. 2051-2055 )
  • Dhar, P., Dhar, R. (2010). Optimal control for bio heat equaiton due to induced mocrowave, Appl. Math. Mech, 31, 4, (pp.529-535 )
  • Dhar, P., Dhar, R. ,Dhar, R. (2012). Analytical study on optimization problem in hyperthermia by controlling heating probe at tumour and surface cooling temperature. App. Math. Sc., 6(11), (pp. 533-543)
  • Kinuya, S., Yokoyama. K., Michigishi, T., Tonami, N. (2004) Optimization of radio-immunotherapy interactions with hyperthermia, Int J Hyperthermia.20, 2, (pp.190-200)
  • Kowalski, M.E. and Jin, J.M. (2003) A temperature-based feedback control system for electro-magnetic phased arrays hyperthermia: theory and simulation. Phys. Med. Biol. 48, (pp.633-651 )
  • Kuznetsov, A.V. (2006). Optimization problem for bio-heat equation, Int. comm in Heat and Mass Transfer, 33, (pp.537-543 )
  • Liu, Kuo-chi., Chen,H-T. (2009), Analysis for the dual-phase-lag bio-heat transfer during magnetic hyperthermia treatment, Int. J. Heat and Mass Transfer, 52, (pp.1185-1192)
  • Loulou, T. and Scott, E.P. (2002) Thermal dose optimization in hyperthermia treatments by using the conjugate gradient method. Numerical Heat Transfer. Part A 42, (pp.661-683 )
  • Rapoport, N. Ya.,Nam,K-H.,Gao,Z.,Kennedy,A. (2009). , Application of ultrasound for targeted nanotherapy of malignant tumors, Acoustical physics,55, 4-5,(pp.594-601)
  • Szasz, A., Vincze, G. (2006) Dose concept of oncological hyperthermia: Heat-equation considering the cell destruction, J. Can. Res.Ther.,2,(pp.171-181)
  • Shih,T- C., Liu,H- L.,Ju,K- C.,Hung,C- S., Chen,P- Y.,Huang,H- W.,Ho,Y- J. (2008).,The feasibility of heating on tumor periphery by using high intensity focused ultrasound thermal surgery, Int. Commu. Heat and Mass Transfer, 35, (pp. 439- 445)
  • Wagter, C.D. (1986) Optimization of simulated two-dimensional temperature distributions induced by multiple Electromagnetic Applicators. IEEE Trans, Micro Theory. Techni. MTT 34(5), (pp. 589-596 )
Toplam 17 adet kaynakça vardır.

Ayrıntılar

Diğer ID JA56JS36GJ
Bölüm Makaleler
Yazarlar

1Rikhiya Dhar Bu kişi benim

Ranajit Dhar Bu kişi benim

Piyanka Dhar Bu kişi benim

Yayımlanma Tarihi 23 Temmuz 2016
Yayımlandığı Sayı Yıl 2013 Cilt: 3 Sayı: 3

Kaynak Göster

APA Dhar, 1., Dhar, R., & Dhar, P. (2016). An optimal control problem by controlling heat source of the surface of tissue. TOJSAT, 3(3), 8-18.
AMA Dhar 1, Dhar R, Dhar P. An optimal control problem by controlling heat source of the surface of tissue. TOJSAT. Temmuz 2016;3(3):8-18.
Chicago Dhar, 1Rikhiya, Ranajit Dhar, ve Piyanka Dhar. “An Optimal Control Problem by Controlling Heat Source of the Surface of Tissue”. TOJSAT 3, sy. 3 (Temmuz 2016): 8-18.
EndNote Dhar 1, Dhar R, Dhar P (01 Temmuz 2016) An optimal control problem by controlling heat source of the surface of tissue. TOJSAT 3 3 8–18.
IEEE 1. Dhar, R. Dhar, ve P. Dhar, “An optimal control problem by controlling heat source of the surface of tissue”, TOJSAT, c. 3, sy. 3, ss. 8–18, 2016.
ISNAD Dhar, 1Rikhiya vd. “An Optimal Control Problem by Controlling Heat Source of the Surface of Tissue”. TOJSAT 3/3 (Temmuz 2016), 8-18.
JAMA Dhar 1, Dhar R, Dhar P. An optimal control problem by controlling heat source of the surface of tissue. TOJSAT. 2016;3:8–18.
MLA Dhar, 1Rikhiya vd. “An Optimal Control Problem by Controlling Heat Source of the Surface of Tissue”. TOJSAT, c. 3, sy. 3, 2016, ss. 8-18.
Vancouver Dhar 1, Dhar R, Dhar P. An optimal control problem by controlling heat source of the surface of tissue. TOJSAT. 2016;3(3):8-18.