Related Concept Videos
01:20Mechanisms of Heat Transfer II
In convection, thermal energy is carried by the large-scale flow of matter. Ocean currents and large-scale atmospheric circulation, which result from the buoyancy of warm air and water, transfer hot air from the tropics toward the poles and cold air from the poles toward the tropics. The Earth’s rotation interacts with those flows, causing the observed eastward flow of air in the temperate zones. Convection dominates heat transfer by air, and the amount of available space for the airflow...
01:14Mechanisms of Heat Transfer I
Just as interesting as the effects of heat transfer on a system are the methods by which the heat transfer occur. Whenever there is a temperature difference, heat transfer occurs. It may occur rapidly, such as through a cooking pan, or slowly, such as through the walls of a picnic ice box. So many processes involve heat transfer that it is hard to imagine a situation where no heat transfer occurs. Yet, every heat transfer takes place by only three methods: conduction, convection, and radiation.
01:05Absorption of Radiation
The rate of heat transfer by emitted radiation is described by the Stefan-Boltzmann law of radiation:
01:14Mechanisms of Heat Transfer
Heat transfer between the human body and its environment occurs through four main mechanisms: conduction, convection, radiation, and evaporation.
Conduction, accounting for approximately 3% of body heat loss at rest, is the process of exchanging heat between molecules of two materials in direct contact. This can result in both heat loss and gain. For instance, when the body is submerged in water, which conducts heat 20 times more effectively than air, it can either lose or gain significant heat.
Conduction, accounting for approximately 3% of body heat loss at rest, is the process of exchanging heat between molecules of two materials in direct contact. This can result in both heat loss and gain. For instance, when the body is submerged in water, which conducts heat 20 times more effectively than air, it can either lose or gain significant heat.
01:29Mathematical Modeling: Problem Solving
Mathematical modeling transforms real-world scenarios into mathematical expressions, allowing for structured problem-solving and analysis. This process involves defining the situation, assigning variables to measurable quantities, selecting an appropriate model, and solving the resulting equation. Such models are invaluable in finance, providing precise methods to evaluate investments, loans, and repayment structures.A widely used example is the calculation of fixed monthly payments on a loan,...
01:19Mechanism of heat transfer
Understanding heat transfer mechanisms is essential for understanding how our bodies maintain balance in different environmental conditions. When the environment is thermoneutral, the body is in a state of balance, neither using nor releasing energy to maintain its core temperature. However, when the environment is not thermoneutral, the body employs four heat transfer mechanisms to maintain homeostasis: conduction, convection, evaporation, and radiation. These mechanisms facilitate heat...
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07:16
Thermal Ablation for the Treatment of Abdominal Tumors
Published on: March 7, 2011
Mathematical modeling of thermal ablation.
S J Payne1, T Peng, D P O'Neill
1Institute of Biomedical Engineering, Department of Engineering Science, University of Oxford, Oxford, UK. stephen.payne@eng.ox.ac.uk
Critical Reviews in Biomedical Engineering
|December 24, 2010
Summary
Mathematical models help predict cancer ablation treatment outcomes. This review guides researchers in selecting appropriate models, balancing accuracy and computational cost for better clinical application.
Area of Science:
- Oncology
- Biomedical Engineering
- Computational Biology
Background:
- Ablation is a key minimally invasive cancer treatment, but success varies with operator experience.
- Accurately targeting tumors while sparing healthy tissue is challenging due to cell death complexities.
- Existing mathematical models for ablation response vary in physiological accuracy and computational cost.
Purpose of the Study:
- To critically review mathematical models of tumor response to ablation.
- To provide a practical guide for researchers using these models in clinical settings.
- To clarify how model assumptions influence accuracy and computational expense.
Main Methods:
- Literature review of mathematical models for ablation treatment.
- Analysis of model principles, assumptions, and limitations.
- Evaluation of model accuracy versus computational resource requirements.
Main Results:
- Different models rely on distinct assumptions, impacting their applicability.
- Understanding these assumptions is crucial for selecting appropriate models.
- Model choice significantly affects both treatment prediction accuracy and computational demands.
Conclusions:
- Ablation modeling requires careful consideration of model assumptions.
- This review aims to aid researchers in choosing models for clinical applications.
- Balancing accuracy and computational efficiency is key for effective ablation treatment planning.