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We present a comprehensive computational model to simulate the coupled dynamics of aqueous humor flow and heat transfer in the human eye. To manage the complexity of the model, we make significant efforts in meshing and efficient solution…

Analysis of PDEs · Mathematics 2026-03-25 Thomas Saigre , Vincent Chabannes , Christophe Prud'Homme , Marcela Szopos

Understanding human eye behavior involves intricate interactions between physical phenomena such as heat transfer and fluid dynamics. Accurate computational models are vital for comprehending ocular diseases and therapeutic…

Analysis of PDEs · Mathematics 2024-05-01 Thomas Saigre , Christophe Prud'Homme , Marcela Szopos , Vincent Chabannes

In this paper, a three-dimensional finite element method is developed to simulate the heat distribution in the human eye with different types of tumors to understand the effect of tumors on heat distribution in the human eye. The human eye…

Tissues and Organs · Quantitative Biology 2022-07-20 Aboozar Moradi , Mohammad Reza Yousefi

We propose an uncertainty propagation study and a sensitivity analysis with the Ocular Mathematical Virtual Simulator, a computational and mathematical model that predicts the hemodynamics and biomechanics within the human eye. In this…

Numerical Analysis · Mathematics 2023-01-24 Christophe Prud'Homme , Lorenzo Sala , Marcela Szopos

This paper presents a comprehensive computer simulation of thermal processes in multilayered biological tissues for the analysis of luminance temperature distributions recorded by microwave radiometry. A mathematical model combining the…

Biological Physics · Physics 2025-10-21 Maxim V. Polyakov , Illarion E. Popov

We consider two common heat transfer processes and perform a through sensitivity study of the variables involved. We derive and discuss analytical formulas for the heat transfer coefficient in function of film velocity, air temperature and…

Classical Physics · Physics 2013-08-14 Andrea Ferrantelli , Paul Melóis , Martti Viljanen

We are investigating the effective heat transfer in complex systems involving porous media and surrounding fluid layers in the context of mathematical homogenization. We differentiate between two fundamentally different cases: Case (a),…

Analysis of PDEs · Mathematics 2024-05-01 Michael Eden , Tom Freudenberg

This study utilizes mathematical modeling to offer computational insights into biological heat transfer within elastic skin tissues. This heat transfer is driven by a moving heat source that relies on various relaxation times. Time delay…

Tissues and Organs · Quantitative Biology 2024-10-14 Abdelrahman A. Abbas , Ibrahim A. Abbas , Aboelnour N. Abdalla

Electroporation is a very useful tool for drug delivery into various diseased tissues of the human body. This technique helps to improve the clinical treatment by transferring drugs into the targeted cells rapidly. In electroporation, drug…

Functional Analysis · Mathematics 2022-08-03 Nilay Mondal , D. C. Dalal

A bio-heat transfer model for biological tissues in a micro-scale and periodical settings is investigated . It is assumed that the model is a two-component system consisting of solid particles representing tissue cells and interconnected…

Analysis of PDEs · Mathematics 2014-10-28 Abdelhamid Ainouz

Mimicking vascular systems in living beings, designers have realized microvascular composites to achieve thermal regulation and other functionalities, such as electromagnetic modulation, sensing, and healing. Such material systems avail…

Numerical Analysis · Mathematics 2024-01-30 Kalyana B. Nakshatrala

A two-dimensional model is proposed for energy efficiency assessment through the simulation of heat transfer in building envelopes, considering the influence of the surrounding environment. The model is based on the \DF ~approach that…

Computational Engineering, Finance, and Science · Computer Science 2021-11-18 Julien Berger , Suelen Gasparin , Walter Mazuroski , Nathan Mendes

The objective of this work is to investigate the coupling of fluid dynamics, heat transfer and mass transfer during the impact and evaporation of droplets on a heated solid substrate. A laser-based thermoreflectance method is used to…

Fluid Dynamics · Physics 2010-10-14 Rajneesh Bhardwaj , Jon P. Longtin , Daniel Attinger

We present preliminary experimental data that enable us to suggest that heat transfer in cellular tissue under local strong heating is a more complex phenomenon than a simple heat diffusion. Namely, we demonstrate that under local strong…

Soft Condensed Matter · Physics 2007-05-23 E. V. Davydov , I. A. Lubashevsky , V. A. Milyaev , R. F. Musin

An equation based reduced order model applicable to generalized heat equation and thermal simulations of power electronics systems developed in commercial CFD tools, is presented in this work. The model considers the physics of heat…

Numerical Analysis · Mathematics 2024-04-26 Neelakantan Padmanabhan

We develop a model for simulating the heat transfer phenomena within a biological soft material using the Ikeda chaotic map. Our approach is implemented by sampling the optical intensity via the Ikeda map to investigate the influence on the…

Medical Physics · Physics 2022-01-19 Morteza A. Sharif , M. Shahnazary , M. Pourezzat

In this work we develop and investigate mathematical and computational models that describe drug delivery from a contact lens during wear. Our models are designed to predict the dynamics of drug release from the contact lens and subsequent…

Biological Physics · Physics 2024-03-04 Daniel M. Anderson , Rayanne A. Luke

This paper deals with an analytical modeling of heat transfers simulating a new radiation calorimeter operating in a temperature range from -50 {\deg}C to 150 {\deg}C. The aim of this modeling is the evaluation of the feasibility and…

Instrumentation and Detectors · Physics 2016-01-11 Elysée Obame Ndong , Olivier Gallot-Lavallée , Frédéric Aitken

The study of the interaction between laser and brain tissue has important theoretical and practical significance for brain imaging. A two-dimensional simulation model that studies the propagation of light and heat transfer in brain tissue…

Medical Physics · Physics 2020-09-30 Xianlin Song , Ao Teng , Jianshuang Wei , Lingfang Song

We examine the non-equilibrium radiative heat transfer between a plate and finite cylinders and cones, making the first accurate theoretical predictions for the total heat transfer and the spatial heat flux profile for three-dimensional…

Classical Physics · Physics 2015-05-28 Alexander P. McCauley , M. T. Homer Reid , Matthias Krüger , Steven G. Johnson
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