Open AccessBrownian Motion and its Mathematical Applications in Medicine
Author(s) -
Valdecir de Godoy Borges,
RJ Lato Sensu
Publication year - 2021
Publication title -
journal of scientific research and reports
Language(s) - English
Resource type - Journals
ISSN - 2320-0227
DOI - 10.9734/jsrr/2021/v27i830418
Subject(s) - brownian motion , mean squared displacement , diffusion , displacement (psychology) , mechanics , classical mechanics , fick's laws of diffusion , position (finance) , physics , particle (ecology) , viscosity , statistical physics , diffusion process , thermodynamics , geology , computer science , quantum mechanics , economics , psychology , knowledge management , oceanography , innovation diffusion , finance , psychotherapist , molecular dynamics
Brownian motion is small particles suspended in a liquid tend to move in pseudorandom or stochastic paths through the liquid, even if the liquid in question is inert. By Einstein's theories for Brownian motion referring to the 1905 works, equilibrium relations and viscous friction, osmotic pressure reaching the diffusion coefficient of Brownian particles. In the fluid medium, we will address the deviation (diffusion equation and basically the relationship between the mean square deviation of the particle position and the fluid temperature, the higher the temperature, the greater the mean square deviation, that is, directly proportional to the constant of the diffusion). The importance of this study is the movement of particles and molecules in the fluid medium, whether these molecules are lipids, proteins, we know that viruses and bacteria are having a certain movement in the organism and its systems, we will tend to study their movement within vessels and between fluids body, with two densities and particular conditions, knowing the likely displacement, we will know therapeutic interventions that are probably more effective. The aim of this work is to demonstrate through mathematical applications the Brownian motion.