An Analysis of the Telegrapher Equation with a Bifurcation Parameter to Model Relativistic Diffusion

In this paper, we derive a solution to the telegrapher equation. We then apply a bifurcation parameter to the telegrapher equation in order to analyze the behavior of the solution as it changes classification. In order to obtain the solution to both the telegrapher and modified telegrapher equation, we derive the heat equation and telegrapher equation using a continuous random walk. We also solve the heat equation using invariant properties of a particular solution, a random walk analysis, and a Fourier-Laplace transform. The solution to the telegrapher equation contains modified Bessel functions, so we also derive the solutions to both the Bessel and modified Bessel equation. Lastly, we rigorously obtain a solution to the telegrapher equation with an added bifurcation parameter. This solution represents a complete distribution of the solution to the standard telegrapher equation as its solutions transition between classifications

Flexible Software for Rigorous Simulations of Magnetic Particle Imaging Systems

Modeling of Magnetic Particle Imaging (MPI) systems allows for developing and testing novel methods for image reconstruction and simulating various setups without the need of real-life measurement data. Here we describe the the initial development of a C++ simulation software designed to provide more realistic MPI simulation data, by accounting for effects like non-linear gradient fields, non-uniform drive fields, space-dependent coil sensitivity, temperature gradients and particle relaxation, as well as the results of the comparison of the simulated signals against real-life Magnetic Particle Spectroscopy (MPS) measurements. In addition to MPI, the software is also suitable for simulating other applications, e.g. MPS, AC susceptibility and pulsed relaxometry measurements

v-SRC'S hold over actin and cell adhesions

The oncoprotein v-Src and its cellular homologue (c-Src) are tyrosine kinases that modulate the actin cytoskeleton and cell adhesions. Through the concerted action of their protein-interaction and kinase domains, they are targeted to cell–matrix integrin adhesions or cadherin-dependent junctions between epithelial cells, where they phosphorylate substrates that induce adhesion turnover and actin re-modelling. Recent experiments have defined some of the key targets and effector pathways that mediate the pleiotropic oncogenic effects of v-Src