Brownian motion (named in honor of the botanist Robert Brown) is the random movement of particles suspended in a fluid or the mathematical model used to describe such random movements, often called a Wiener process.

The mathematical model of Brownian motion has several real-world applications. An often quoted example is stock market fluctuations. Another example is the evolution of physical characteristics in the fossil record.[citation needed]

Brownian motion is among the simplest continuous-time stochastic processes, and it is a limit of both simpler and more complicated stochastic processes (see random walk and Donsker's theorem). This universality is closely related to the universality of the normal distribution. In both cases, it is often mathematical convenience rather than the accuracy of the models that motivates their use

Motility is a biological term which refers to the ability to move spontaneously and independently. It can apply to either single-celled or multicellular organisms.

In cellular biology or biomedical engineering, motility often refers to directed cell movement down gradients established in bloomer's. Examples are:

Movement along a chemical gradient

movement along a rigidity gradient

movement along a gradient of cell adhesion sites

The mathematical model of Brownian motion has several real-world applications. An often quoted example is stock market fluctuations. Another example is the evolution of physical characteristics in the fossil record.[citation needed]

Brownian motion is among the simplest continuous-time stochastic processes, and it is a limit of both simpler and more complicated stochastic processes (see random walk and Donsker's theorem). This universality is closely related to the universality of the normal distribution. In both cases, it is often mathematical convenience rather than the accuracy of the models that motivates their use

Motility is a biological term which refers to the ability to move spontaneously and independently. It can apply to either single-celled or multicellular organisms.

In cellular biology or biomedical engineering, motility often refers to directed cell movement down gradients established in bloomer's. Examples are:

Movement along a chemical gradient

movement along a rigidity gradient

movement along a gradient of cell adhesion sites