» Esercizi svolti di Matematica e Fisica

Nanobots in the Bloodstream: Chasing Plaques with Mathematics

Exciting news is circulating in the biotech world: nanoparticles capable of dissolving coronary plaques are no longer science fiction. These tiny "robots" navigate our arteries using a clever propulsion system powered by glucose density gradients.

A Familiar Mathematical Challenge
This breakthrough resonates deeply with my previous research. Back in 2022, I developed a heuristic model to simulate how antibodies track a target (specifically the Spike protein) moving in a random walk.

At the time, I modeled this "pursuit" by implementing a chemical potential difference to drive the particles. You can see the original logic in my article: Antibodies vs. Spike Protein Pursuit Algorithm.

From SDEs to Clinical Solutions
The core of these technologies lies in Stochastic Differential Equations (SDEs). Whether it's a theoretical "toy-model" integrated in Mathematica or a cutting-edge nanomedicine application, the underlying physics remains the same:

Detection: Identifying the chemical signature of the target.

Propulsion: Converting environmental energy (glucose) into kinetic energy.

Action: Dissolving the plaque upon contact.