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Mathematical formulation of bioheat transfer based on the volume averaging theory, and its development and verification of the multi-scale analytical model

Research Project

Project/Area Number 22360088
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Thermal engineering
Research InstitutionShizuoka University

Principal Investigator

NAKAYAMA Akira  静岡大学, 工学部, 教授 (60155877)

Co-Investigator(Kenkyū-buntansha) KUWAHARA Fujio  静岡大学, 工学部, 准教授 (70215119)
Project Period (FY) 2010 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥18,330,000 (Direct Cost: ¥14,100,000、Indirect Cost: ¥4,230,000)
Fiscal Year 2012: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2011: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2010: ¥10,400,000 (Direct Cost: ¥8,000,000、Indirect Cost: ¥2,400,000)
Keywords生体組織 / 多孔質 / 人工臓器 / 生体伝熱 / 物質移動 / 局所体積平均 / 多孔質体 / 熱伝導率 / 血液灌流 / クライオプローブ
Research Abstract

The effects of the blood perfusion on the effective thermal conductivity of the human tissue were investigated experimentally. The blood perfusion rate was controlled by externally pressurizing the tissue using a blood pressure cuff. The blood velocity under the skin was measured by a blood flow LDV, while the perfusion units and skin surface temperature distribution were monitored using a thermograph, digital thermometer unit and blood flow image sensor system. As for a theoretical investigation, a new bioheat equation was derived using a volume averaging theory and was used to investigate the effects of the blood perfusion rate on the temperature within the tissue. The predicted temperature based on a multi-scale analytical model is found to agree well with the measured temperature, substantiating the validity of the proposed bioheat equation for the tissue.

Report

(4 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • Research Products

    (29 results)

All 2013 2012 2011 2010

All Journal Article (17 results) (of which Peer Reviewed: 17 results) Presentation (12 results)

  • [Journal Article] An application of the Sano-Nakayama membrane transport model in hollow fiber reverse osmosis desalination systems2013

    • Author(s)
      Nakayama, Akira; Sano, Yoshihiko
    • Journal Title

      DESALINATION

      Volume: Vol. 311, 15 Pages: 95-102

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] A porous media theory for characterization of membrane blood oxygenation devices2013

    • Author(s)
      Sano, Y., Adachi, J. and Nakayama, A.
    • Journal Title

      Heat and Mass Transfer, Heat Mass Transfer

      Volume: 49 Issue: 7 Pages: 973-984

    • DOI

      10.1007/s00231-013-1143-x

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] A Porous Media Approach for Analyzing a Countercurrent Dialyzer System, Sano, Yoshihiko2012

    • Author(s)
      Nakayama, Akira, Trans
    • Journal Title

      ASME J. Heat Transfer

      Volume: Vol. 134 - 7, Article Number: 072602 Issue: 7

    • DOI

      10.1115/1.4006104

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Heat transfer performance assessment for forced convection in a tube partially filled with a porous medium2012

    • Author(s)
      Yang, Chen; Nakayama, Akira; Liu, Wei
    • Journal Title

      INTERNATIONAL JOURNAL OF THERMAL SCIENCES

      Volume: 54 Pages: 98-108

    • DOI

      10.1016/j.ijthermalsci.2011.10.023

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A porous media approach for analyzing a countercurrent dialyzer system2012

    • Author(s)
      Sano, Y., Nakayama, A.
    • Journal Title

      ASME Trans. J. Heat Transfer

      Volume: 134 Pages: 1-9

    • DOI

      10.1016/j.desal.2012.11.012

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Heat transfer performance assessment for forced convection in a tube partially filled with a porous medium2012

    • Author(s)
      Yang C., Nakayama A, Liu W.
    • Journal Title

      Int.J.Thermal Sciences

      Volume: 54 Pages: 98-108

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A general set of bioheat transfer equations based on the volume averaging theory, POROUS MEDIA: Applications in biological systems and biotechnology, Ed. By Vafai K2011

    • Author(s)
      Nakayama A, Kuwahara, F, Liu W
    • Journal Title

      CRC PRESS

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Effects of thermal dispersion on heat transfer in cross-flow tubular heat exchangers2011

    • Author(s)
      Sano Y, Nakayama A
    • Journal Title

      International Journal of Heat and Mass Transfer

      Volume: 48 Issue: 1 Pages: 183-189

    • DOI

      10.1007/s00231-011-0865-x

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Exact solutions for a thermal nonequilibrium model of fluid saturated porous media based on an effective porosity2011

    • Author(s)
      Kuwahara F, Yang C, Ando K., Nakayama A
    • Journal Title

      J.Heat Mass Transfer

      Volume: 133(in press) Issue: 11

    • DOI

      10.1115/1.4004354

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A local thermal non-equilibrium analysis of fully developed forced convective flow in a tube filled with a porous medium2011

    • Author(s)
      Yang C, Ando K., Nakayama A
    • Journal Title

      Transport in Porous Media

      Volume: 89 Pages: 237-249

    • NAID

      120003368389

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Entransy expression of the second law of thermodynamics and its application to optimization in heat transfer process2011

    • Author(s)
      Liu, W., Liu, Z.C, Jia, H., Nakayama A
    • Journal Title

      Int.Heat Mass Transfer

      Volume: 54 Pages: 3049-3059

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Thermal Non-Equilibrium Forced Convective Flow in an Annulus Filled with a Porous Medium2011

    • Author(s)
      Yang, C, Kuwahara, E, Liu, W., Nakayama A
    • Journal Title

      The Open Transport Phenomena Journal

      Volume: 3 Pages: 98-108

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A note on a bronchial tree with 23 levels of bifurcation2010

    • Author(s)
      Nakayama, A.
    • Journal Title

      Heat and Mass Transfer

      Volume: Vol. 46 Issue: 5 Pages: 547-547

    • DOI

      10.1007/s00231-010-0598-2

    • NAID

      120002165423

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Heat transfer characteristics in consolidated porous media2010

    • Author(s)
      Ando K., Nakayama A., Imai Y., Hirai H.
    • Journal Title

      Proc. 3rd International Conference on Porous Media and its Applications in Science, Engineering and Industry, AIP Conference Proceedings

      Volume: 1254 Pages: 27-32

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] A rigorous derivation of the bioheat equation for local tissue heat transfer based on a volume averaging theory2010

    • Author(s)
      Nakayama A, Sano Y, Yoshikawa K
    • Journal Title

      Heat and Mass Transfer

      Volume: 46 Pages: 739-746

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A synthesis of tortuosity and dispersion in effective thermal conductivity of porous media2010

    • Author(s)
      Yang C, Nakayama A
    • Journal Title

      International Journal of Heat Mass Transfer

      Volume: 53 Pages: 3222-3230

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A note on a bronchial tree with 23 levels of bifurcation2010

    • Author(s)
      Nakayama A.
    • Journal Title

      Heat and Mass Transfer

      Volume: 46 Pages: 547-547

    • NAID

      120002165423

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Presentation] 人工肺の局所体積平均モデル2012

    • Author(s)
      佐野,中山
    • Organizer
      第49回日本伝熱シンポジウム
    • Place of Presentation
      富山B124
    • Year and Date
      2012-05-30
    • Related Report
      2012 Final Research Report
  • [Presentation] 人工心肺の数学モデル2012

    • Author(s)
      佐野,中山
    • Organizer
      日本機械学会東海支部第61期総会・講演会
    • Place of Presentation
      名古屋工業大学
    • Year and Date
      2012-03-15
    • Related Report
      2012 Final Research Report
  • [Presentation] 人工心肺の数学モデル2012

    • Author(s)
      佐野吉彦, 安達純, 中山顕
    • Organizer
      日本機械学会東海支部第61期総会・講演会
    • Place of Presentation
      名古屋工業大学(愛知県)
    • Year and Date
      2012-03-15
    • Related Report
      2011 Annual Research Report
  • [Presentation] 人工心肺の数学モデルとその検証2012

    • Author(s)
      佐野,中山
    • Organizer
      伝熱学会東海支部講演会
    • Place of Presentation
      岐阜大学
    • Year and Date
      2012-02-03
    • Related Report
      2012 Final Research Report
  • [Presentation] 人工心肺の数学モデルとその検証2012

    • Author(s)
      佐野吉彦, 中山顕
    • Organizer
      云熱学会東海支部講演会
    • Place of Presentation
      岐阜大学(岐阜県)
    • Year and Date
      2012-02-03
    • Related Report
      2011 Annual Research Report
  • [Presentation] 人工肺の局所体積平均モデル2012

    • Author(s)
      佐野吉彦,中山顕
    • Organizer
      第49回日本伝熱シンポジウムB124, 2012.
    • Place of Presentation
      富山国際会議場(富山県)
    • Related Report
      2012 Annual Research Report
  • [Presentation] 太陽光ボリューメトリックレシーバーにおける炭化ケイ素フォームの局所非熱平衡解析2011

    • Author(s)
      佐野吉彦, 岩瀬伸二, 中山顕
    • Organizer
      日本機械学会熱工学コンファレンス2011
    • Place of Presentation
      静岡大学工学部(静岡県)
    • Year and Date
      2011-10-29
    • Related Report
      2011 Annual Research Report
  • [Presentation] 生体伝熱のマルチスケールモデリング2011

    • Author(s)
      佐野,中山
    • Organizer
      第48回日本伝熱シンポジウム
    • Place of Presentation
      岡山コンベンションセンタ
    • Year and Date
      2011-06-02
    • Related Report
      2012 Final Research Report
  • [Presentation] 生体伝熱のマルチスケールモデリング2011

    • Author(s)
      佐野吉彦, 吉川健太郎, 中山顕
    • Organizer
      第48回日本伝熱シンポジウム
    • Place of Presentation
      岡山コンベンションセンタ(岡山県)
    • Year and Date
      2011-06-02
    • Related Report
      2011 Annual Research Report
  • [Presentation] 発泡多孔質体の界面熱伝達の計測2011

    • Author(s)
      平井秀和, 安藤健志、中山顕
    • Organizer
      第48回日本伝熱シンポジウム
    • Place of Presentation
      岡山コンベンションセンタ(岡山県)
    • Year and Date
      2011-06-02
    • Related Report
      2011 Annual Research Report
  • [Presentation] 多孔質体の局所非熱平衡モデルの厳密解2011

    • Author(s)
      ヤン・チェン, 本山英明, 中山顕
    • Organizer
      第48回日本伝熱シンポジウム
    • Place of Presentation
      岡山コンベンションセンタ(岡山県)
    • Year and Date
      2011-06-02
    • Related Report
      2011 Annual Research Report
  • [Presentation] Tortuosity, dispersion and turbulence in porous media2010

    • Author(s)
      Nakayama A.
    • Organizer
      3^<rd> International Conference on Porous Media and its Applications in Science, Engineering and Industry
    • Place of Presentation
      Montecatini, Italy
    • Year and Date
      2010-06-21
    • Related Report
      2010 Annual Research Report

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Published: 2010-08-23   Modified: 2019-07-29  

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