Analysis of metabolic control has until now been mainly confined to systems at steady state. This includes studies of the control of "transition time", which is actually a steady-state transit time that does not refer to the transient state. In this paper we examine the control of the transition state of a metabolic pathway in the approach to a stable steady state, showing that the time needed ...

Creep phenomenon in rock engineering plays a key role in development of underground spaces as they must be stable enough for a long period of time. Current research involved designing and manufacturing of a new creep testing machine. The equipment is capable to perform simultaneous light-duty creep tests on more than one cylindrical rock samples at a very low cost.To evaluate the equipment’s pe...

We study the global stability of a human immunodeficiency virus (HIV) infection model with Cytotoxic T Lymphocytes (CTL) immune response. The model describes the interaction of the HIV with two classes of target cells, CD4(+) T cells and macrophages. Two types of distributed time delays are incorporated into the model to describe the time needed for infection of target cell and virus replicatio...

The article presents an approach to design tubular reactors in recycle systems, based on non-linear analysis. A pseudohomogeneous plug-flow reactor model is used. It is assumed that the separation unit delivers product and recycle streams with fixed composition. The stand-alone reactor has a unique stable steady state. The coupled reactor /separation /recycle system shows four types of conversi...

We show that steady-state work fluctuations in periodically modulated systems display universal features, which are not described by the standard fluctuation theorems. Modulated systems often have coexisting stable periodic states. We find that work fluctuations sharply increase near a kinetic phase transition where the state populations are close to each other. We also show that the work varia...

A number of existing results describe the numerical calculation of the steady state distribution of an M/G/1/ type Markov chain. However, these numerical methods have difficulties when the forward transition structure has a long tail asymptotic. This paper proposes a numerical approximation that can account for the polynomial decay of the steady-state distribution over several orders of magnitu...

We present a stability analysis of steady-state solutions of a continuous-time predator– prey population dynamics model subject to Allee effects on the prey population which occur at low population density. Numerical simulations show that the system subject to an Allee effect takes a much longer time to reach its stable steady-state solution. This result differs from that obtained for the discr...

In this paper, we revisit a diffusive Leslie–Gower predator–preymodel with Holling-type II functional responses and Dirichlet boundary condition. It is shown that multiple positive steady state solutions exist under certain conditions on the parameters, while for another parameter region, the positive steady state solution is unique and locally asymptotically stable. Results are proved by using...

We simulate solidification in a narrow channel through the use of a phase-field model with an adaptive grid. In different regimes, we find that the solid can grow in fingerlike steady-state shapes, or become unstable, exhibiting unsteady growth. At low melt undercoolings, we find good agreement between our results, theoretical predictions, and experiment. For high undercoolings, we report evide...