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A model for stem cell population dynamics with regulated maturation delay
(Discrete and Continuous Dynamical Systems- Series A, 2011-12-31)
We develop a structured population model for the maturation process of stem cells in the form of a state-dependent delay differential equation. Moreover, results on existence, uniqueness and positivity of solutions as well ...
Hartman effect and weak measurements that are not really weak
(Physical Review A - Atomic, Molecular, and Optical Physics, 2011-12-31)
We show that in wave packet tunneling, localization of the transmitted particle amounts to a quantum measurement of the delay it experiences in the barrier. With no external degree of freedom involved, the envelope of the ...
Global stability of a delayed SIRS epidemic model with a non-monotonic incidence rate
(Journal of Mathematical Analysis and Applications, 2011-12-31)
In this paper, we investigate a disease transmission model of SIRS type with latent period τ≥0 and the specific nonmonotone incidence rate, namely, For the basic reproduction number R0>1, applying monotone iterative ...
Stress induced polarization switching and coupled hysteretic dynamics in ferroelectric materials
(Frontiers of Mechanical Engineering, 2011-12-31)
The dynamic responses of ferroelectric materials upon external mechanical and electrical stimulations are inherently nonlinear and coupled. In the current paper, a macroscopic differential model is constructed for the ...
Meso-GSHMC: A stochastic algorithm for meso-scale constant temperature simulations
(Procedia Computer Science, 2011-12-31)
We consider the problem of time-stepping/sampling for molecular and meso-scale particle dynamics. The aim of the work is to derive numerical time-stepping methods that generate samples exactly from the desired target ...
Global dynamics of a cell mediated immunity in viral infection models with distributed delays
(Journal of Mathematical Analysis and Applications, 2011-12-31)
In this paper, we investigate global dynamics for a system of delay differential equations which describes a virus-immune interaction in vivo. The model has two distributed time delays describing time needed for infection ...
Global dynamics of a viral infection model with a latent period and Beddington-DeAngelis response
(Nonlinear Analysis, Theory, Methods and Applications, 2011-12-31)
In this paper, we study the global dynamics of a viral infection model with a latent period. The model has a nonlinear function which denotes the incidence rate of the virus infection in vivo. The basic reproduction number ...
Traveling waves for models of phase transitions of solids driven by configurational forces
(Discrete and Continuous Dynamical Systems - Series B, 2011-12-31)
This article is concerned with the existence of traveling wave solutions, including standing waves, to some models based on configurational forces, describing respectively the diffusionless phase transitions of solid ...
Quiescence: A mechanism for escaping the effects of drug on cell populations
(Journal of the Royal Society Interface, 2011-12-31)
We point out that a simple and generic strategy in order to lower the risk for extinction consists in developing a dormant stage in which the organism is unable to multiply but may die. The dormant organism is protected ...
Excitation of plasmons in a two-dimensional electron gas with defects by microwaves: Wake-field method
(Physical Review B - Condensed Matter and Materials Physics, 2011-12-31)
We develop an analytical method to find plasmons generated by microwaves in a two-dimensional electron gas with defects. The excitations are expressed in terms of the wake field of a charged particle moving in plasma. The ...