Last edited by Shashicage

Wednesday, May 20, 2020 | History

3 edition of **Mathematical description of heat transfer in living tissue** found in the catalog.

Mathematical description of heat transfer in living tissue

V. Gafiychuk

- 263 Want to read
- 17 Currently reading

Published
**1999**
by VNTL Publishers in Lviv, Ukraine
.

Written in English

- Body temperature -- Mathematical models.,
- Heat -- Transmission.

**Edition Notes**

Includes bibliographical references.

Statement | V. Gafiychuk, I. Lubashevsky. |

Series | Mathematical studies -- v. 7 |

Contributions | Lubashevskiĭ, I. A. |

Classifications | |
---|---|

LC Classifications | QP135 .G33 1999 |

The Physical Object | |

Pagination | x, 243 p. : |

Number of Pages | 243 |

ID Numbers | |

Open Library | OL21835480M |

ISBN 10 | 9667148890 |

OCLC/WorldCa | 50509868 |

Based on modified version of the Pennes' bio-heat transfer equation, a simplified one- dimensional bio-heat transfer model of the living tissues in the steady state has been applied on whole body heat transfer studies, and by using the Weierstrass' elliptic function, its corresponding analytic periodic and non-periodic solutions have been derived in this by: PRINCIPLES OF HEAT TRANSFER was first published in , and since then it has grown to be considered a classic within the field, setting the standards for coverage and organization within all other Heat Transfer texts. The book is designed for a one-semester course in heat transfer at the junior or senior level, however, flexibility in /5(12).

burT is the convective heat transfer term, which accounts for the thermal interac-tions between blood vessels and tissues. The term r k prT accounts for the enhanced tissue conductive heat transfer due to blood perfusion term in tissues, where k p is called the perfu-sion conductivity, and is a function of the blood perfusion Size: 3MB. That would be a description of heat transfer by conduction. 'Mathematical description of heat transfer in living tissue' -- subject(s): Transmission, Mathematical models, Body temperature.

Besides, heat and mass transfer must be jointly considered in some cases like evaporative cooling and ablation. The usual way to make the best of both approaches is to first consider heat transfer without mass transfer, and present at a later stage a briefing of similarities and differences between heat transfer and mass transfer. Description: PRINCIPLES OF HEAT TRANSFER was first published in , and since then it has grown to be considered a classic within the field, setting the standards for coverage and organization within all other Heat Transfer texts.

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The microscopic governing equations obtained in this way describe living tissue in terms of an active medium with continuously distributed self - regulation.

One of the interesting results obtained in the present monograph is that there can be the phenomena of ideal self - regulation in large active hierarchical by: 7. In the present monograph we formulate a simple model for heat transfer in living tissue with self - regulation.

The initial point of the model is the governing equations describing heat transfer in living tissue at the mesoscopic level, i.e.

considering different vessels by: 7. III Heat transfer in living tissue with extremely nonuni-form blood ﬂow distribution 9 The bioheat equation and the averaged blood ﬂow rate The simplest approach, according to Lubashevsky & Gafiychuk, to description of bioheat transfer, is to consider living tissue in terms of an effective homogeneous continuum where thermal.

In the present monograph we formulate a simple model for heat transfer in living tissue with self - regulation. The initial point of the model is the governing equations describing heat transfer in living tissue at the mesoscopic level, i.e.

considering different vessels : I. Lubashevsky and V. Gafiychuk. The key to thermal modeling of blood perfused tissue is the formulation of an appropriate heat transfer equation.

Such an equation must take into consideration three factors: (1) blood perfusion, (2) the vascular architecture, and (3) variation in thermal properties and blood flow rate.

The problem is characterized by anisotropic blood flow in a complex network of branching arteries and veins with Cited by: 1.

This textbook presents the classical topics of conduction heat transfer and extends the coverage to include chapters on perturbation methods, heat transfer in living tissue, and microscale conduction.

This makes the book unique among the many published textbook on conduction heat transfer. Other noteworthy features of the book are. A mathematical model describing the process of heat transfer in tissues during high temperature thermal therapy by electromagnetic radiation of organs in human body for different coordinate systems and under different boundary conditions is proposed.

The heat transfer in tissues is examined using the modified Pennes’ bioheat transfer by: This article focuses on the transfer of heat through skin tissue.

Experimental study, theoretical analysis, and numerical modeling of skin thermal behavior are reviewed, with theoretical analysis carried out and closed-form solutions obtained for simple one-layer Fourier theory based by: Mathematical description of heat transfer in living tissue.

Cached. Download Links [] [] Save to List {_mathematicaldescription, author = {}, title = {Mathematical description of heat transfer in living tissue}, year = {}} Share. OpenURL. Abstract. I The basis of the bioheat transfer theory 1 1 INTRODUCTION: Essentials.

Mathematical description of heat transfer in living tissue (Part II) {Mathematical description of heat transfer in living tissue (Part II)}, year = {}} Share. OpenURL. Abstract. hierarchical systems 3 What the cooperative self–regulation is from the general point of heat transfer mathematical description part ii hierarchical.

Download PDF: Sorry, we are unable to provide the full text but you may find it at the following location(s): (external link) http.

removes heat from tissue depending on local temperature T. • At the capillaries thermal equilibration with tissue becomes complete. • Blood returns to the heart through venules, primary veins and vena cava. • Blood mixing due to venous confluence brings its temperature back to Ta0.

Mathematical Modeling of Vessels-Tissue Heat Transfer. Bioheat Transfer Analysis Background. Mathematical Models of Heat Transfer in Living Biological Tissue.

Numerical Techniques for Continuum Bioheat Transfer Equations. Applications – Heating of Living Tissue. Freezing of Biological Materials. Nomenclature. ReferencesCited by: 7. The Penne's representation of the influence of blood perfusion is often used as a first attempt at modeling heat transfer in living tissue.

Exact solutions for the bioheat equation are developed in various geometries. The focus of the solution development presented here is to capitalize on existing published solutions of pure heat conduction.

Heat Transfer and Fluid Flow in Biological Processes covers emerging areas in fluid flow and heat transfer relevant to biosystems and medical technology. This book uses an interdisciplinary approach to provide a comprehensive prospective on biofluid mechanics and heat transfer advances and includes reviews of the most recent methods in modeling of flows in biological media, such as CFD.

Abstract – The thermal therapies are based on the heat transfer in biological tissues. The goal of this paper is to present the computer-aided analysis of the heat transfer in skin tissue using the clinical data and experience of the doctors.

Some mathematical models are presented starting from Pennes’ bioheat transfer equation for. formulation of the heat transfer in living tissues. The related formulae appeared in each model are briefly written for the convenience of advanced discussion.

The Pennes'Model The first quantitative mathematical relationship that described trie heat transfer between blood and tis sue is presented by Pennes in The Pennes'. This equation accounts for thermal conduction and heat storage in a living tissue, modeled as a solid medium with density \rho, heat capacity C_p, and thermal conductivity is predefined in the Biological Tissue feature of the Bioheat Transfer interface, with the solid tissue thermal properties available as user inputs.

Convective cooling of blood perfusion is modeled through the transfer. Conduction Heat Transfer Robert F. Boehm Introduction Conduction heat transfer phenomena are found throughout virtually all of the physical world and the industrial domain.

The analytical description of this heat transfer mode is one of the best understood. Some of the bases of understanding of conduction date back to early history. apply knowledge of mathematics and computational methods to the problems of heat transfer.

Thus, in addition to undergraduate heat transfer, students taking this course are expected to be familiar with vector algebra, linear algebra, ordinary di erential equations, particle and rigid-body dynamics.passive modeling, which simulates the physical human body and the heat transfer phenomena occurring in human body and at its surface.

Description of the passive model is done by equations resultant from the application of the heat and mass balances to a tissue control applying the theories of heat transfer and thermodynamics. An authoritative guide to theory and applications of heat transfer in humans.

Theory and Applications of Heat Transfer in Humans 2V Set offers a reference to the field of heating and cooling of tissue, and associated damage.

The author—a noted expert in the field—presents, in this book, the fundamental physics and physiology related to the field, along with some of the recent applications Author: Devashish Shrivastava.