scholarly journals Long-Time Behaviour in a Model of Microtubule Growth

2010 ◽  
Vol 42 (1) ◽  
pp. 268-291
Author(s):  
O. Hryniv ◽  
M. Menshikov
Keyword(s):  
Stochastic Process ◽  
Continuous Time ◽  
Complete Characterization ◽  
Time Behaviour ◽  
Local Growth ◽  
Long Time Behaviour ◽  
Long Time ◽  
Microtubule Growth ◽  
Continuous Time Stochastic Process

We study a continuous-time stochastic process on strings made of two types of particle, whose dynamics mimic the behaviour of microtubules in a living cell; namely, the strings evolve via a competition between (local) growth/shrinking as well as (global) hydrolysis processes. We give a complete characterization of the phase diagram of the model, and derive several criteria of the transient and recurrent regimes for the underlying stochastic process.

scholarly journals Long-Time Behaviour in a Model of Microtubule Growth

2010 ◽  
Vol 42 (01) ◽  
pp. 268-291 ◽  
Author(s):  
O. Hryniv ◽  
M. Menshikov
Keyword(s):  
Stochastic Process ◽  
Continuous Time ◽  
Complete Characterization ◽  
Time Behaviour ◽  
Local Growth ◽  
Long Time Behaviour ◽  
Long Time ◽  
Microtubule Growth ◽  
Continuous Time Stochastic Process

We study a continuous-time stochastic process on strings made of two types of particle, whose dynamics mimic the behaviour of microtubules in a living cell; namely, the strings evolve via a competition between (local) growth/shrinking as well as (global) hydrolysis processes. We give a complete characterization of the phase diagram of the model, and derive several criteria of the transient and recurrent regimes for the underlying stochastic process.

scholarly journals Modeling the Energy Harvested by an RF Energy Harvesting System Using Gamma Processes

2019 ◽  
Vol 2019 ◽  
pp. 1-12 ◽  
Author(s):  
Inma T. Castro ◽  
Luis Landesa ◽  
Alberto Serna
Keyword(s):  
Stochastic Process ◽  
Energy Harvesting ◽  
Performance Measures ◽  
Continuous Time ◽  
Gamma Process ◽  
Stochastic Characterization ◽  
Energy Harvesting System ◽  
Gamma Processes ◽  
Continuous Time Stochastic Process

In an Energy Harvesting system (EHS) the gamma process is used to model the electromagnetic energy received from radiofrequency (RF) radiation. The stochastic characterization of the harvested energy as a continuous-time stochastic process, namely, gamma process, is obtained from the Nakagami-m fading model, which describes the signal reception in a large amount of types of radiofrequency channels. Using the gamma process, some performance measures of the EHS system are obtained. Also, a transmission policy subject to different fading conditions is considered.

scholarly journals Long-time behaviour of a thermomechanical model for adhesive contact

2011 ◽  
Vol 4 (2) ◽  
pp. 273-309 ◽  
Author(s):  
Elena Bonetti ◽  
◽  
Giovanna Bonfanti ◽  
Riccarda Rossi ◽  
◽  
...  
Keyword(s):  
Adhesive Contact ◽  
Time Behaviour ◽  
Thermomechanical Model ◽  
Long Time Behaviour ◽  
Long Time

Long time behaviour of diffusing particles in constrained geometries; application to chromatin motion

2006 ◽  
Vol 18 (14) ◽  
pp. S235-S243 ◽  
Author(s):  
A Rosa ◽  
F R Neumann ◽  
S M Gasser ◽  
A Stasiak
Keyword(s):  
Time Behaviour ◽  
Long Time Behaviour ◽  
Long Time

scholarly journals Long time behaviour of a singular phase transition model

2006 ◽  
Vol 15 (4) ◽  
pp. 1119-1135 ◽  
Author(s):  
Pavel Krejčí ◽  
◽  
Jürgen Sprekels
Keyword(s):  
Phase Transition ◽  
Transition Model ◽  
Time Behaviour ◽  
Long Time Behaviour ◽  
Long Time

On the time periodic thermistor problem

2004 ◽  
Vol 15 (1) ◽  
pp. 55-77 ◽  
Author(s):  
WALTER ALLEGRETTO ◽  
YANPING LIN ◽  
SHUQING MA
Keyword(s):  
Periodic Solutions ◽  
Degree Theory ◽  
Time Behaviour ◽  
Uniform Attractor ◽  
Long Time Behaviour ◽  
Galerkin Approximations ◽  
Long Time ◽  
Finite Dimensionality ◽  
Time Periodic Solutions ◽  
Time Periodic

In this paper we study a nonlocal parabolic/elliptic system which models thermistor behaviour in cases where heat losses to the surrounding gas play a significant role. The existence of time periodic solutions for the system is established through Faedo-Galerkin approximations and the Leray–Schauder degree theory. We show that for the small gas pressure case, the temperature of the time periodic solutions is positive. Moreover we consider the long time behaviour of the system and prove the existence of a uniform attractor. Finally, the finite dimensionality of the attractor is discussed.

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