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This equation should read $$Q=-\partial I/\partial z=\alpha I$$roam said:
This equation should read $$Q=-\partial I/\partial z=\alpha I$$roam said:I also need a little help to walk me through the calculation of ##q## in your post #32.
The energy absorption in a differential distance ##dz## is:
$$dI=-\alpha I dz,$$
so using your convention for measuring z:
$$Q=\partial I/\partial z=-\alpha I.$$
The relationship between volume and temperature rise in tissue is known as thermal expansion. When tissue is exposed to heat, the molecules within the tissue begin to vibrate and move further apart, causing the tissue to expand in volume. The amount of expansion is directly proportional to the increase in temperature.
Understanding the volume and temperature rise in tissue is important for a variety of reasons. It can help in predicting the effects of heat on different types of tissue, which is important in medical procedures such as laser treatments and surgeries. It can also aid in understanding the impact of temperature changes on living organisms and their environments.
There are several factors that can affect the volume and temperature rise in tissue. These include the type of tissue, the initial temperature of the tissue, the duration and intensity of heat exposure, and the surrounding environment. Additionally, the presence of blood flow and water content in the tissue can also impact the rate of temperature rise.
The volume and temperature rise in tissue can be measured using various techniques such as thermography, infrared imaging, and thermal sensors. These methods allow for non-invasive and accurate measurements of temperature changes in tissue. Additionally, specialized software can be used to analyze and visualize the data collected from these measurements.
High volume and temperature rise in tissue can lead to thermal damage, which can result in pain, burns, and tissue necrosis. It can also cause changes in tissue structure and function, leading to long-term effects such as scarring and impaired tissue regeneration. Therefore, it is important to carefully monitor and control temperature changes in tissue to avoid potential risks.