Pit vipers are a type of venomous snake that is found in tropical and subtropical regions around the world. They are known for their ability to sense heat, which they use to locate prey in the dark.

Pit vipers have a pair of pits located between their eyes and nostrils. These pits are lined with heat-sensitive cells that can detect temperature differences as small as 0.003 degrees Celsius. When a pit viper detects a heat source, it will turn its head towards the source and strike.

The heat-sensing ability of pit vipers is so sensitive that they can even detect the heat of a small rodent hiding in the grass. This makes them very effective predators, and they are known to eat a variety of animals, including rats, mice, birds, and frogs.

The mathematical model developed by the researchers shows how the heat-sensing pits of pit vipers work. The model takes into account the size and shape of the pits, as well as the temperature of the surrounding environment.

The model shows that the pits are most sensitive to heat sources that are located directly in front of the snake. This is because the pits are angled forward, and they are able to focus heat waves from the target onto the heat-sensitive cells.

The model also shows that the pits are able to detect heat sources that are at a greater distance than the snake's body length. This is because the pits are able to collect heat waves from a wider area than the snake's eyes.

The mathematical model developed by the researchers provides a new understanding of how pit vipers use heat to hunt. This information could be used to develop new strategies for controlling pit vipers and preventing them from attacking humans.