The dominant and current view of cell cycle regulation is that the controls for cell proliferation reside primarily in the Gl phase of the division cycle. This current or classical model is deeply ingrained in cell biology, and has been described very well [ 1, 21; therefore we will only summarize below the basic support of the Gl model. Over the past decade, however, an alternative proposal, t...

Water vapour continuum absorption is an important contributor to the Earth's radiative cooling and energy balance. Here, we describe the development and status of the MT_CKD (MlawerTobinCloughKneizysDavies) water vapour continuum absorption model. The perspective adopted in developing the MT_CKD model has been to constrain the model so that it is consistent with quality analyses of spectral atm...

The formulation and numerical solution of a continuum (PDE) model of neurite elongation is presented. This model describes elongation as a function of the production, transport and (dis)assembly of tubulin into microtubules in a single growing neurite. It provides an important extension to previous ordinary di4erential equation models of neurite elongation by allowing the incorporation of prote...

The Lenz-Ising model has served for almost a century as a basis for understanding ferromagnetism, and has become a paradigmatic model for phase transitions in statistical mechanics. While retaining the Ising energy arguments, we use techniques previously applied to sociophysics to propose a continuum model. Our formulation results in an integro-differential equation that has several advantages ...

We investigate certain connections between the continuum and atomistic descriptions of deformable crystals, using some interesting results from number theory. The energy of a deformed crystal is calculated in the context of a lattice model with general binary interactions in two dimensions. A new bond counting approach is used, which reduces the problem to the lattice point problem of number th...

The mechanism of propulsion of host bacteria under the action of actin gel networks is examined by means of a continuum model of the dynamics of the F-actin concentration. The model includes the elasticity of the network, its attachment to the host and the polymerization at the interface with it. A formula for the cruise velocity is derived wherefrom the respective contributions of elasticity a...

Despite the ubiquity of fluid flows interacting with porous and elastic materials, we lack a validated non-empirical macroscale method for characterizing the flow over and through a poroelastic medium. We propose a computational tool to describe such configurations by deriving and validating a continuum model for the poroelastic bed and its interface with the above free fluid. We show that, usi...

Myxobacteria are social bacteria, that can glide in 2D and form counter-propagating, interacting waves. Here we present a novel age-structured, continuous macroscopic model for the movement of myxobacteria. The derivation is based on microscopic interaction rules that can be formulated as a particle-based model and set within the SOH (Self-Organized Hydrodynamics) framework. The strength of thi...

A continuum growth model is introduced. The state at time t, St, is a subset of R and consists of a connected union of randomly sized Euclidean balls, which emerge from outbursts at their center points. An outburst occurs somewhere in St after an exponentially distributed time with expected value |St| −1 and the location of the outburst is uniformly distributed over St. The main result is that ...