Fractal-based generalization of pennes’ bioheat transfer equation for hyperthermia applications in cancer therapy

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60077344%3A_____%2F25%3A00647080" target="_blank" >RIV/60077344:_____/25:00647080 - isvavai.cz</a>

Alternative codes found

RIV/63839172:_____/25:10133854

Result on the web

<a href="https://doi.org/10.1016/j.thradv.2025.100078" target="_blank" >https://doi.org/10.1016/j.thradv.2025.100078</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.thradv.2025.100078" target="_blank" >10.1016/j.thradv.2025.100078</a>

Result language

angličtina

Original language name

Fractal-based generalization of pennes’ bioheat transfer equation for hyperthermia applications in cancer therapy

Original language description

Hyperthermia is a successful technique used in medicine to kill cancerous cells subject to a temperature within the range of 41-43◦C for a period of time within the range of 30-60 minutes. However, a long duration of heat has drastic impacts on DNA and chromosomal aberrations. To predict temperature distribution in the cancerous tissue, a nonlinear one-dimensional temperature-dependent blood perfusion bioheat Pennes transfer equation is generally used. In this study, we introduce a generalized Pennes’ bioheat transfer equation in fractal dimensions in space and in time. The aim is to prove the relevance of fractal dimensions in hyperthermia and their implications in the treatment of cancerous cells. We will determine the conditions in which thriving treatment can be achieved. The Pennes bio-heat transfer equation is modified by applying the concept of fractal calculus. In biology and medicine, fractality is a measure of the extent of organization underlying biological structures. Hence, this study aimed to estimate the heat source in one-dimensional tissue during the hyperthermia treatment using the concept of fractal dimensions. We will show that fractal dimensions offer new insights in hyperthermia by diagnosing the range of temperature required to kill tumors without affecting the surround tissues. We show that, under certain constraints, hyperthermia treatment in low fractal dimensions may destroy cancerous cells in a short period of time, and subsequently, the temperature falls to steady periodic oscillations around the initial body temperature of 37◦C without damaging the benign cells.

Czech name

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Czech description

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Type

J_ost - Miscellaneous article in a specialist periodical

CEP classification

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OECD FORD branch

10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Project

<a href="/en/project/EH22_008%2F0004649" target="_blank" >EH22_008/0004649: Quantum Engineering and Nanotechnology</a><br>

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2025

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Thermal Advances

ISSN

3050-4635

e-ISSN

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Volume of the periodical

5

Issue of the periodical within the volume

Oct

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

13

Pages from-to

100078

UT code for WoS article

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EID of the result in the Scopus database

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