Notes on Electrode and Diffusion Potentials

Notes on Diffusion

These summarize methods for solving the diffusion equation. 1 Parabolic equations The diffusion equation is ∂φ ∂t = ∂ ∂x k ∂φ ∂x (1) This can describe thermal diffusion (for example, as part of the energy equation in compressible flow), species/mass diffusion for multispecies flows, or the viscous terms in incompressible flows. In this form, the diffusion coefficient (or conductivity), k, can b...

Some Notes on Generalized Interventional Potentials

It is common to model interventions in DAG models using Pearl’s do-calculus [Pearl, 2000]. However, for modeling interventional data the assumption of acycility is often innappropriate; many models of biological networks contain feedback cycles (for example, see Sachs et al. [2005]). In contrast, undirected graphical models allow cycles. However, under most interpretations of the data generatin...

Skin-electrode impedance and its effect on recording cardiac potentials.

Notes on Diffusion in Collisionless Medium

A collisionless continuous medium in Euclidean space is discussed, i. e. a continuum of free particles moving inertially, without interacting with each other. It is shown that the distribution density of such medium is weakly converging to zero as time increases indefinitely. In the case of Maxwell’s velocity distribution of particles, this density satisfies the well-known diffusion equation, t...

Notes on Diffusion with Volume Change

We explore some fundamental aspects of diffusion in a binary (chemical species A and B) system. The ultimate objective is to better understand the relationship among the various treatments of a one-dimensional diffusion couple when there is volume change on mixing. We begin by examining the relationships among diffusion fluxes that are true irrespective of the nature of constitutive equations. ...