My interest is to use applied and computational mathematics in order to understand the physical phenomena that occur in nature. My research focuses in developing an analytical and numerical study of the self-propulsion of active colloids. Self-propulsion can be achieved when a reaction of solute species occurs near the surface of an active particle, which produces a concentration gradient and induces a force that causes the particle to move. This way, chemical reaction energy is converted into mechanical energy and it is not necessary to rely on external forces to move the particle. The design of micromotors and nanodevices that can move via chemical propulsion and perform desired tasks such as drug delivery is what motivates us to study this phenomenon.