d: Advanced Simulations of Ferrofluid Transport
Effective control design relies on an understanding of what happens – thus we need mathematical models that inform us, even if it is to a limited degree, of what happens to magnetic carriers under applied magnetic fields in-vivo. These models do not have to be, and cannot be, perfect, but the more we know the more we can exploit that information to design better control schemes.
In collaboration with Oscar Bruno at Caltech, we are developing a modeling environment for ferrofluid transport in-vivo. We have begun with “simple” questions such as what happens to a ferrofluid inside a single deep blood vessel under the action of a magnetic force, blood convection, and diffusion in blood and into surrounding tissue. Our simulations are already x1,000 times faster than COMSOL (a software that is commonly used in modeling of magnetic drug delivery) and we expect to achieve another factor of a thousand (making our simulations 1 million times faster than the current state of the art).
Using these capabilities our goal is to create a simulation environment that will allow us to design effective control laws for directing magnetic drugs to in-vivo targets, and will allow other researchers in magnetic drug delivery to better model their systems.