Journals / Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi / 2026 / Cilt: 41 Sayı: 1

A pioneering method in tumor diagnosis: Bioheat transfer analysis via hybrid model consisting of finite differences time domain and genetic algorithms

Tümör tanısında öncü bir yöntem: Zaman domeninde sonlu farklar ve genetik algoritmalar hibrit modeliyle biyoısı transfer analizi

Pages
229–252
Publication Date
2026-02-20
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The results indicate that metabolic heat production is the dominant factor in distinguishing tumorous tissue, and calculated tissue temperatures match the reference skin surface temperature.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Early diagnosis is important for cancer treatment, cure and survival.
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Key Findings & Data:In the proposed model, FDTD and GA operate interconnectedly.
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Conclusion & Impact:The results indicate that metabolic heat production is the dominant factor in distinguishing tumorous tissue, and calculated tissue temperatures match the reference skin surface temperature.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Pennes biyoısı denklemi · zaman domeninde sonlu farklar · genetik algoritmalar

Abstract

Early diagnosis is important for cancer treatment, cure and survival. Tumors alter tissue thermal properties, blood perfusion and metabolic heat production, and skin surface temperature. This study proposes a hybrid FDTD–GA (finite difference time domain–genetic algorithm) model as a non-invasive screening and decision-support tool for the pre-diagnosis of tumorous tissue before conventional diagnostic methods. The proposed approach aims to reduce the risks associated with imaging and invasive techniques such as MRI, biopsy, PET, mammography, and CT, while also alleviating the workload of healthcare professionals. In addition, early-stage tumors that may not be detected by standard diagnostic tools can be identified. In the proposed model, FDTD and GA operate interconnectedly. The FDTD solves the Pennes bioheat transfer equation using measured skin surface temperature as a reference and computes tissue temperatures for GA. GA estimates blood perfusion and metabolic heat production for FDTD. Since tumorous tissues exhibit significantly higher blood perfusion and metabolic heat production than healthy tissues, these parameters are effective diagnostic indicators. The model converges to tissue parameters consistent with the skin temperature. The results indicate that metabolic heat production is the dominant factor in distinguishing tumorous tissue, and calculated tissue temperatures match the reference skin surface temperature.

Özet

Kanser tedavisinde erken tanı, iyileşme ve sağkalım süresi açısından çok önemlidir. Dokudaki bir tümör, doku sıcaklık profilini, kan perfüzyonunu, metabolik ısı üretimini ve cilt yüzey sıcaklığını değiştirir. Bu çalışmada, FDTD-GA (zaman domeninde sonlu farklar-genetik algoritmalar) hibrit modeliyle, diğer tanı yöntemlerinden önce tümörlü/sağlıklı doku ön tanısı hedeflenmiş, gereksiz yere hem MRI, biyopsi, PET, mamografi, BT gibi tanı yöntemlerinin olası zararlarının hem de hekim, sağlık çalışanı meşguliyetinin önüne geçilmesi amaçlanmıştır. Diğer tanı yöntemlerinin henüz tanıyamadığı erken evredeki tümör, FDTD-GA modeliyle farkedilebilir. Tümör, cilt yüzey sıcaklığını artırır. FDTD-GA modelinde, FDTD, Pennes biyoısı transfer denklemini cilt yüzey sıcaklığı referansıyla çözer. Literatürden alınan farklı dokuların fiziksel ve termal parametrelerine göre, FDTD-GA modeliyle, hem literatürde verilen kan perfüzyonu ve metabolik ısı değerlerine hem de tümörlü dokularda sağlıklı dokulardan çok daha yüksek kan perfüzyonu ve metabolik ısı değerleri bulunmasına göre tümörlü doku ön tanısı konulabilmiştir. Modelde, FDTD ve GA içiçe, birbirine bağlı çalışmaktadır. Her generasyonda, FDTD, GA için doku sıcaklıklarını hesaplar. GA, FDTD için kan perfüzyonu ve metabolik ısı üretim değerlerini bulur. Sonuçta, cilt yüzey sıcaklığına karşılık gelen doku kan perfüzyon oranı ve metabolik ısı değerleri bulunur. Tanıda, metabolik ısı üretiminin daha baskın olduğu söylenebilir. Tümörlü/sağlıklı doku tanılamalarında, cilt yüzey referans sıcaklığına neredeyse eşit doku sıcaklıklarına ulaşılmıştır.

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Cite This Article

Gürsu, B., Büyükatalay, E. Ö. (2026). A pioneering method in tumor diagnosis: Bioheat transfer analysis via hybrid model consisting of finite differences time domain and genetic algorithms. Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi, Cilt: 41 Sayı: 1, 229–252. https://doi.org/10.17341/gazimmfd.1543751

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References (64)

  1. World Health Organization. Key facts. https://www.who.int/news-room/fact-sheets/detail/cancer. Yayın tarihi: 03.02.2022, Erişim tarihi: 07.08.2025
  2. Gürsu B., Tümörlü Doku Tespiti İçin Pennes’in Biyoısı Transfer Yaklaşımıyla Kan Perfüzyon Parametresinin Tahmininde Hibrit Bir Model: Zaman Domeninde Sonlu Farklar Yöntemi ve Sezgisel Algoritmalar, Yüksek Lisans Tezi, Gazi Üniversitesi, Sağlık Bilimleri Enstitüsü, Ankara, 2023.
  3. Pennes H.H., Analysis of Tissue and Arterial Blood Temperature in the Resting Human Forearm, Journal of Applied Physilogy, 1 (2), 93-122, 1948.
  4. Hussein H., Abbas E., Keshavarzi S., Fazelzad R., Bukhanov K., Kulkarni S., Au F., Ghai S., Alabousi A., Freitas V., Supplemental Breast Cancer Screening in Women with Dense Breasts and Negative Mammography: A Systematic Review and Meta-Analysis, Radiology, 306 (3), 2023.
  5. Rakhunde M.B., Gotarkar S., Choudhari S.G., Thermography as a Breast Cancer Screening Technique: A Review Article, Cureus Journal of Medical Science, 14 (11), 2022.
  6. Jacob G., Jose I., Sujatha S., Breast cancer detection: A comparative review on passive and active thermography, Infrared Physics & Technology, 134, 2023.
  7. Agnelli J.P., Barrea A.A., Turner C.V., Tumor location and parameter estimation by thermography, Mathematical and Computer Modelling, 53 (7), 1527-1534, 2011.
  8. Deng Z.S., Liu J., Mathematical modeling of temperature mapping over skin surface and its implementation in thermal disease diagnostics, Computers in Biology and Medicine, 34 (6), 495–521, 2004.
  9. Liu J., Xu L.X., Boundary information based diagnostics on the thermal states of biological bodies, International Journal of Heat and Mass Transfer, 43 (16), 2827-2839, 2000.
  10. Etehadtavakol M., Ng E.Y.K., Survey of numerical bioheat transfer modelling for accurate skin surface measurements, Thermal Science and Engineering Progress, 20, 2020.
  11. Akulova D. V., Sheremet M. A., Mathematical Simulation of Bio-Heat Transfer in Tissues Having Five Layers in the Presence of a Tumor Zone, Mathematics, 12 (5), 676, 2024.
  12. Gonzalez-Hernandez J.L., Recinella A.N., Kandlikar S.G., Dabydeen D., Medeiros L., Phatak P., An inverse heat transfer approach for patient-specific breast cancer detection and tumor localization using surface thermal images in the prone position, Infrared Physics&Technology, 105, 2020
  13. Majdoubi J., Iyer A.S., Ashique A.M., Perumal D.A., Mahrous Y.M., Rahimi-Gorji M., Ishakhov A., Estimation of tumor parameters using neural networks for inverse bioheat problem, Computer Methods and Programs in Biomedicine, 205, 2021.
  14. Singhal M., Singlela R.K., Goyal K., Singh S., Inverse optimization based non-invasion technique for multiple tumor detection in brain tissue, International Communications in Heat and Mass Transfer, 141, 2023.
  15. Singhal M., Singlela R.K., Goyal K., Detection of multiple tumors through temperature response of a human brain using inverse bioheat transfer based on swarm optimization, Thermal Science and Engineering Progress, 47, 2024.
  16. Ooi E.H., Ang W.T., Ng E.Y.K., A boundary element model for investigating the effects of eye tumor on the temperature distribution inside the human eye, Computers in Biology and Medicine, 39 (8), 667-677, 2009.
  17. Lozano A., Hayes J. C., Compton L. M., Azarnoosh J., Hassanipour F., Determining the thermal characteristics of breast cancer based on high-resolution infrared imaging, 3D breast scans, and magnetic resonance imaging, Scientific Reports, 10, 10105, 2020.
  18. Gutierrez C., Owens A., Medeiros L., Dabydeen D., Sritharan N., Phatak P., Kandlikar S. G., Breast cancer detection using enhanced IRI-numerical engine and inverse heat transfer modeling: model description and clinical validation, Scientific Reports, 14, 3316, 2024.
  19. Wang Y., Mu L., He Y., Tang Y., Liu C., Lu Y., Xu L., Heat transfer analysis of blood perfusion in diabetic rats using a genetic algorithm, Microvascular Research, 131 (104013), 2020.
  20. Jiji, L.M., Chapter 10 Heat transfer in living tissue, Heat Conduction, Third Edition, Springer Berlin, Heidelberg, Germany, 302-346, 2009.
  21. Das K., Singh R., Mishra S.C., Numerical analysis for determination of the presence of a tumor and estimation of its size and location in a tissue, Journal of Thermal Biology, 38, 32–40, 2013.
  22. Çelik N., Meme Kanseri Tümörünün Oluşturduğu Isı Geçişinin Sonlu Elemanlar Yöntemiyle Sayısal İncelenmesi, Ulusal Isı Bilimi ve Tekniği Kongresi, Balıkesir, 2015.
  23. Gautherie M., Thermopatholgy of Breast Cancer: Measurement and Analysis of in vivoTemperature and Blood Flow, Ann NY Academic Science, 335 (1), 383-415, 1980.
  24. Das K., Mishra S.C., Study of Thermal behavior of a biological tissue: An equivalence of Pennes bioheat equation and Wulff continuum model, Journal of Thermal Biology, 45, 103-109, 2014.
  25. Sedankin M.K., Leushin V.Y., Gudkov A.G., Vesnin S.G., Sidorov I. A., Agasieva S. V., Markin A. V., Mathematical Simulation of Heat Transfer Processes in a Breast with a Malignant Tumor. Biomedical Engineering, 52 (3), 190-194, 2018.
  26. Deng Z.S., Liu J., Monte Carlo method to solve multidimensional bioheat transfer problem, Numerical Heat Transfer, Part B, 42, 543-567, 2002.
  27. Melo A.R., Loureiro M.M.S., Loureiro F., Blood Perfusion Parameter Estimation in Tumors by means of a Genetic Algorithm, Procedia Computer Science, 108C, 1384–1393, 2017.
  28. Zhang H., Lattice Boltzmann method for solving the bioheat Equation, Phys. Med. Biol., 53, N15-N23, 2008.
  29. 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, Indian Academy of Sciences, Sadhana 43 (142), 2018.
  30. Rojczyk M., Orlande H. R.B., Colac M. J., Szczygieł I., Nowak A. J., Białecki R. A., Ostrowski Z., Inverse heat transfer problems: an application to bioheat transfer, Computer Assisted Methods in Engineering and Science, 22, 365–383, 2015.
  31. Gonzalez F.J., Non-invasive estimation of the metabolic heat production of breast tumors using digital infrared imaging, Quantitative InfraRed Thermography Journal, 8 (2), 139-148, 2012.
  32. Caferova Ş., Meme Radiotermometri (Rtm) İncelemesinin Meme Lezyonlarının Ayırıcı Tanısındaki Yeri, Etkinliği ve Güvenilirliği, Uzmanlık Tezi, Dokuz Eylül Üniversitesi, Tıp Fakültesi, Radyodiagnostik Anabilim Dalı, İzmir, 2009.
  33. Gautherie M., Temperature Blood Flow Patterns in Breast Cancer during Natural Evolution and Following Radiotherapy, Progress in Clinical and Biomedical Termology, 107, 21- 64, 1982.
  34. Sohn C., Grischke E.M., Wallwiener D., Kaufmann M., Fournier D., Bastert G., Ultrasound diagnosis of blood flow in benign and malignant breast tumors, Geburtshilfe Frauenheilkd, 52 (7), 397-403, 1992.
  35. Alamouti A.K., Habibi M.R., Sharfabadi M.M., Lalimi H.A., Numerical study on the efects of blood perfusion and tumor metabolism on tumor temperature for targeted hyperthermia considering a realistic geometrical model of head layers using the fnite element method, SN Applied Sciences, 3 (462), 2021.
  36. Yee K. S., Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media, IEEE Transactions on Antennas and Propagation, 14 (3), 302-307, 1966.
  37. Avcı S. A., Afacan E., Gaussıan Beam Interaction at High Frequencies with Plasma Medium, Journal of the Faculty of Engineering and Architecture of Gazi University, 30 (2), 273-279, 2015.
  38. Bişkin O.S., Saydam T., Aksoy S., Accuracy Analyses of FDTD Resonance Frequency Calculations for a Partially Dielectric-Filled Cavity, International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, 38 (e70011), 1-11, 2025.
  39. Niu K., Xia Z., Xie G., Ren X., Li Y., Huang Z., Wu X., Elsherbeni A.Z., A Stochastic FDTD Algorithm for Uncertainty Quantification of Electromagnetic-Thermal Simulation, IEEE Transactions on Microwave Theory and Techniques, 72 (7), 3935-3946, 2024.
  40. Ünal Ş., Determination of The Optimal Boundary Conditions for The Solution of Differential Equations of The Rotary Type Regenerators, Journal of the Faculty of Engineering and Architecture of Gazi University, 35 (4), 2061-2073, 2020.
  41. Çakır M., Özsoy A., Investigation Theoretically and Empirically of Correlation Between Hardenability and Heat Transfer for Jominy Sample, Journal of the Faculty of Engineering and Architecture of Gazi University, 28 (2), 251-256, 2013.
  42. Yıldız O., Tez M., Bilge H.Ş., Akcayol M.A., Güler İ., Gene Selection for Breast Cancer Classification Based On Data Fusion And Genetic Algorithm, Journal Of the Faculty of Engineering and Architecture of Gazi University, 27 (3), 659-668, 2012.
  43. Gürsu B., Sezgisel Algoritmalar Kullanarak Transformatör Merkezlerinde Topraklama Ağlarının Tasarımı, Doktora Tezi, Fırat Üniversitesi, Fen Bilimleri Enstitüsü, Elazığ, 2009.
  44. Gürsu B., Optimum Overcurrent Relay Coordination via Genetic Algorithm Method Stopped by Penalty Function in Substations, Journal of the Faculty of Engineering and Architecture of Gazi University, 29 (4), 665-676, 2014.
  45. Onur, T.Ö., A novel method to enhance medical image reconstruction using Genetic Algorithm and Incremental Principal Component Analysis, Computers in Biology and Medicine, 185 (109527), 2025.
  46. Denizhan B., Yıldırım E., and Akkan Ö., An Order-Picking Problem in a Medical Facility Using Genetic Algorithm, Processes, 13 (22), 2025.
  47. Dar M.F., Ganivada A., Deep learning and genetic algorithm-based ensemble model for feature selection and classification of breast ultrasound images, Image and Vision Computing, 146 (105018), 2024.
  48. Hossen M.J., Thirumalaiappan T., Raja J.E., A Survey on Evolutionary Algorithms Based Machine Learning Approaches for Medical Diagnosis, 2024 International Conference on Modeling, Simulation & Intelligent Computing (MoSICom), BITS Pilani Dubai Campus, Dubai, UAE, December 9-11, 2024.
  49. Ahmad I., Ilyas H., Hussain S.I., Raja M.A.Z., Evolutionary Techniques for The Solution of Bio-Heat Equation Arising in Human Dermal Region Model, Arabian Journal for Science and Engineering, 49, 3109-3134, 2024.
  50. Rocha J.P.A.S., Loureiro F.S., Bernardino H.S., Vieira A.B., Barbosa H.J.C., Metaheuristics Applied to the Tthermographic Detection of Multicentric Breast Tumor, Journal of the Brazilian Society of Mechenical Sciences and Engineering, 46, 361, 2024.
  51. Mital M., Pidaparti R.M., Breast Tumor Simulation and Parameters Estimation using Evolutionary Algorithms, Hindawi Publishing Corporation Modelling and Simulation in Engineering, 2008, 2008.
  52. Hossein S., Mohammadi F.A., Tumor Parameter Estimation Considering the Body Geometry by Thermography, Comput Biol Med., 76, 80-93, 2016.
  53. Boz E., Çalık A., Şahin Y., Solution approaches for the green vehicle routing problem with time window and simultaneous pickup and delivery, Journal of the Faculty of Engineering and Architecture of Gazi University, 39 (2), 757-770, 2024.
  54. Das K., Mishra S.C., Estimation of tumor characteristics in a breast tissue with known skin surface temperature. Journal of Thermal Biology, 38 (6), 311–317, 2013.
  55. Tekbaş K., Berenger J.P., Finite-difference time-domain (FDTD) method with non-homogeneous cells filled with voxels, Journal of Computational Physics, 489 (112266), 1-20, 2023.
  56. Sekido H., Umeda T., A novel high accuracy finite-difference time-domain method, Earth Planets Space, 76 (5), 2024.
  57. Li C., Huang C., Chen R., Yu Z., Li S., MPDCGA: a real coded multi population dynamic competitive genetic algorithm for feature selection, Journal of King Saud University Computer and Information Sciences, 37 (199), 1-29, 2025.
  58. Tran H.N., Phan GTT, Tran V.P., Do Q.B., Phan H., Nquyen H.T., Chu T.N., Hoang V.K., Influence of problem characteristics on the optimal balance between population size and the number of generations in in-core fuel management using SHADE method, Influence of problem characteristics on the optimal balance between population size and the number of generations in in-core fuel management using SHADE method, Nuclear Engineering and Design, 443, 2025.
  59. Sécheresse X., Guilbert–Ly J.Y., and Torcy A.V., GAAPO: Genetic Algorithmic Applied to Prompt Optimization, arXiv, 2025.
  60. Das K., Mishra S.C., Non-invasive estimation of size and location of a tumor in a human breast using a curve fitting technique, International Communications in Heat and Mass Transfer, 56, 63-70, 2014.
  61. Patridge P.W., Wrobel W.C., An inverse geometry problem for the localisation of skin tumours by thermal analysis, Engineering Analysis with Boundary Elements, 31 (10), 803-811, 2007.
  62. Bousselham A., Bouattane O., Youssfi M., Raihani A., 3D brain tumor localization and parameter estimation using thermographic approach on GPU, Journal of Thermal Biology, 71, 52-61, 2018.
  63. Camilleri J.S., Farrugia L., Curto S., Dario B. Rodrigues D.B., Farina L., Dingli G.C., Bonello J., Farhat I., Sammut C.V., Review of Thermal and Physiological Properties of Human Breast Tissue, Sensors, 22 (3894), 2022.
  64. Ooi E.H., Ang W.T., Ng E.Y.K., A boundary element model for investigating the effects of eye tumor on the temperature distribution inside the human eye, Computers in Biology and Medicine, 39 (8), 667-677, 2009.