This work extends our earlier two-domain formulation of a differential geometry based multiscale paradigm into a multidomain theory, which endows us the ability to simultaneously accommodate multiphysical descriptions of aqueous chemical, physical and biological systems, such as fuel cells, solar cells, nanofluidics, ion channels, viruses, RNA polymerases, molecular motors and large macromolecu...

I use the Nernst equation, parameterised with experimental data, to predict that cancer cells will accumulate more of a lipophilic anion than normal cells. This effect is correlated to charge number. Model cancer cells accumulate *100 more of an anion, *10 more di-anion, *10 more tri-anion, *10 more tetra-anion and *10 more penta-anion (>>1 billion times more). The trend endures, conveying even...

Cu(II)Cl complexes can undergo stepwise electrochemical reduction to Cu(I)Cl and then to Cu. In this paper, the Nernst equation is used to simultaneously calculate the temperature-dependent stability constants of both mononuclear Cu(II)Cl and Cu(I)Cl complexes for the first time. First, voltammograms were recorded at a Pt ultramicroelectrode (UME) with a variable of free chloride concentration ...

The dielectric boundary force (DBF) is the force that induced charges at dielectric boundaries exert on the charge that induced them. The DBF is present in any electrostatic problem with a non-uniform dielectric constant, and is important in the case of charged particles near dielectric boundaries. Yet, it is absent in common continuum theories of charge distribution and of charge transport, su...

We deal with the transmembrane sodium diffusion in a nerve. We study amathematical model of a nerve fibre in response to an imposed extracellular stimulus. The presentedmodel is constituted by a diffusion-drift vectorial equation in a bidomain, that is, two parabolic equations defined in each of the intraand extra-regions. This system of partial differential equations can be understood as a red...

Conformal mapping has been applied mostly to harmonic functions, i.e. solutions of Laplace’s equation. In this paper, it is noted that some other equations are also conformally invariant and thus equally well suited for conformal mapping in two dimensions. In physics, these include steady states of various nonlinear diffusion equations, the advection-diffusion equations for potential flows, and...

A commercial system for surface plasmon resonance (SPR) possessing a batch-type flow channel has been simply modified so as to conduct in situ SPR measurements under polarization of an Au sensor chip at constant potentials. The modified instrument can monitor electrochemical reactions of monolayer materials with high stability and high reproducibility. The redox reaction of a self-assembled mon...