Event Type:

Mathematical Biology Seminar

Date/Time:

Wednesday, September 27, 2017 - 16:00 to 17:00

Location:

BEXL 102

Guest Speaker:

Institution:

Universidad Nacional de Colombia

Abstract:

In this talk I am going to introduce the basic dynamics of ant foraging and show some attempts at its modeling. The final goal is to mathematically understand the geometric patterns that emerge from the collective dynamics of ant foraging. From and individual point of view, ants behave like self-propelled agents that navigate their foraging grounds mostly through chemotactic signaling, that is deposition and re-enfocement of pheromones. During foraging, and ant must first explore her nest neighborhood in search for food, and if any is found, she must return to the nest leaving a trail of pheromone such that her sisters can trace it back. This action is called chemotactic recruiting. As more ants are recruited and move from the nest to the food source re-enforcing the original pheromone signal, a trail starts to emerge. I will present some very preliminary results on mathematical problems related around the exploration, recruiting and pattern formation in foraging ants.