9,717 research outputs found
Maximin optimal designs for the compartmental model
For the compartmental model we determine optimal designs, which are robust against misspecifications of the unknown model parameters. We propose a maximin approach based on D-efficiencies and provide designs that are optimal with respect to the particular choice of various parameter regions. --Compartmental model,robust optimal design,maximin Doptimality,local optimality
A Stochastic Compartmental Model for Fast Axonal Transport
In this paper we develop a probabilistic micro-scale compartmental model and
use it to study macro-scale properties of axonal transport, the process by
which intracellular cargo is moved in the axons of neurons. By directly
modeling the smallest scale interactions, we can use recent microscopic
experimental observations to infer all the parameters of the model. Then, using
techniques from probability theory, we compute asymptotic limits of the
stochastic behavior of individual motor-cargo complexes, while also
characterizing both equilibrium and non-equilibrium ensemble behavior. We use
these results in order to investigate three important biological questions: (1)
How homogeneous are axons at stochastic equilibrium? (2) How quickly can axons
return to stochastic equilibrium after large local perturbations? (3) How is
our understanding of delivery time to a depleted target region changed by
taking the whole cell point-of-view
Spearman simultaneous estimation for a compartmental model Technical report no. 9
Compartmental model, represented as system of linear combination of exponentials with common exponential parameters, for tracer experiment
A Compartmental Model for Traffic Networks and its Dynamical Behavior
We propose a macroscopic traffic network flow model suitable for analysis as
a dynamical system, and we qualitatively analyze equilibrium flows as well as
convergence. Flows at a junction are determined by downstream supply of
capacity as well as upstream demand of traffic wishing to flow through the
junction. This approach is rooted in the celebrated Cell Transmission Model for
freeway traffic flow. Unlike related results which rely on certain system
cooperativity properties, our model generally does not possess these
properties. We show that the lack of cooperativity is in fact a useful feature
that allows traffic control methods, such as ramp metering, to be effective.
Finally, we leverage the results of the paper to develop a linear program for
optimal ramp metering
A Note on the Trandermal Delivery of Clenbuterol
A modified diffusion/compartmental model has been used to simulate the transdermal uptake of clenbuterol from a matrix-type delivery device. The application of a fresh device every 7 days was found to produce a pseudo-steady state drug plasma profile after approx. three changes of device. Of the matrix properties, only drug loading had substantial effect on the drug plasma profile
Dynamic modelling of hepatitis C virus transmission among people who inject drugs: a methodological review
Equipment sharing among people who inject drugs (PWID) is a key risk factor
in infection by hepatitis C virus (HCV). Both the effectiveness and
cost-effectiveness of interventions aimed at reducing HCV transmission in this
population (such as opioid substitution therapy, needle exchange programs or
improved treatment) are difficult to evaluate using field surveys. Ethical
issues and complicated access to the PWID population make it difficult to
gather epidemiological data. In this context, mathematical modelling of HCV
transmission is a useful alternative for comparing the cost and effectiveness
of various interventions. Several models have been developed in the past few
years. They are often based on strong hypotheses concerning the population
structure. This review presents compartmental and individual-based models in
order to underline their strengths and limits in the context of HCV infection
among PWID. The final section discusses the main results of the papers
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