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Dynamics of Biomembranes: Effect of the Bulk Fluid
biomembrane vesicle red blood cell helfrich
2015/12/11
We derive a biomembrane model consisting of a fluid enclosed by a lipid membrane.
The membrane is characterized by its Canham-Helfrich energy (Willmore energy with area constraint) and acts as ...
Asymptotics of the Fredholm determinant corresponding to the first bulk critical universality class in random matrix models
Integrable operators Riemann-Hilbert approach Deift-Zhou method asymptotical analysis of Fredholm determinants
2015/1/19
We study the one-parameter family of determinants $det(I-\gamma K_{PII}),\gamma\in\mathbb{R}$ of an integrable Fredholm operator $K_{PII}$ acting on the interval $(-s,s)$ whose kernel is constructed o...
On a truncated Erlang queuing system with bulk arrivals, balking and reneging
truncated Erlang queuing system bulk arrivals balking reneging
2010/9/13
The aim of this paper is to derive the analytical solution of the queue:Mx /Ek /I/N with balking and reneging in which
i) Units arrive in batches of random size with the interarrival times of batches...
On Poisson bulk arrival queue: M^X/M/2/N with balking, reneging and heterogeneous servers
Heterogeneous servers batch arrival balking reneging
2010/9/10
The aim of this paper is to derive the analytical solution of the queue: M X/M/2/Nfor batch arrival system with balking, reneging and two heterogeneous servers. A modified queue discipline to the clas...
The non-truncated bulk arrival queue M^x/M/1 with reneging, balking, state-dependent and an additional server for longer queues
Non-truncated queue longer queues Balking Reneging concept
2010/9/10
The aim of this paper is to derive the solution of the non-truncated queue: Mx/M/1 with reneging, balking, state-dependent and an additional server for longer queues. In this case the units arrive in ...