Pennes' bioheat equation is considered one of the most prevalent mathematical equations
used to estimate the temperature profile of a tumor in a human body when subjected to …

In this study, the Pennes and Cattaneo–Vernotte bioheat transfer equations in the presence
of fractal spatial dimensions are derived based on the product-like fractal geometry. This …

Tumors consist of heterogeneous populations of cells. The cell–cell interactions processes
play a critical role in cancer invasion and could be influenced by the mutation of cancerous …

The heat transport that takes place in living tissue during magnetic tumor hyperthermia is
described in this study using the nonlocal bioheat model in spherical coordinates. In …

The Pennes bioheat equation is a widely used mathematical model for predicting
temperature distribution in biological tissues. However, it assumes homogeneous blood …

Thermal ablation has a primary role in cancer treatment due to its minimal invasiveness, and
the improvement of this technique is fundamental in order to avoid incomplete ablation or …

The present work highlights the attempt to develop a two-dimensional mathematical
modelling of thermal characteristics in malignant tissues under a regional hyperthermia …

Cancer treatment is achieved by destroying the damaged tissue with precise heating, which
may be internally or externally on a human body. Thus, tracking the temperature at the …

The thermal modeling of biological systems is increasingly important in the development of
more advanced and more precise techniques such as ultrasound surgery. One of the …

Recent microCT imaging study1 has demonstrated different patterns of nanoparticle
distribution by local heating. A much larger nanoparticle distribution volume in tumors after …