Swarm stability is concerned for descriptor compartmental networks with linear time-invariant protocol. Compartmental network is a specific type of dynamical multi-agent system. Necessary and sufficient conditions for both consensus and critical swarm stability are presented, which require a joint matching between the interactive dynamics of nearest neighboring vertices and the Laplacian spectr...

Deterministic compartmental models are predominantly used in the modeling of infectious diseases, though stochastic considered more realistic, yet complicated to estimate due missing data. In this paper we present a novel algorithm for estimating Susceptible-Infected-Recovered and Susceptible-Exposed-Infected-Recovered (SIR/SEIR) epidemic model within Bayesian framework, which can be readily ex...

To investigate the morphological and electrical development of neurons using computer models it is useful to extend the compartmental modelling framework to include the situation where neurites (dendrites and axons) may change their length, diameter and membrane characteristics over time. This requires changing the size and other properties of existing compartments and adding new compartments d...

Introduction: Compared to single voxel spectroscopy, phase encoded chemical shift imaging (CSI) has the advantage of obtaining spectra from a rectangular array of voxels in a single study. However, long acquisition times are required to achieve reasonable spatial resolutions due to the time consuming phase encoding steps, which limits clinical applications of CSI. Hu et. al. (1) developed a tec...

Epidemics of a biological and technological nature pervade modern life. For centuries, scientific research focused on biological epidemics, with simple compartmental epidemiological models emerging as the dominant explanatory paradigm. Yet there has been limited translation of this effort to explain internet-based spreading phenomena. Indeed, singleepidemic models are inadequate to explain the ...

General concepts concerning models, their logical and analogical status, are briefly outlined. The use of compartmental models to simulate the kinetics of compounds in the environment is illustrated by a discussion of carbon dioxide in the atmosphere and oceans and its uptake by plants. The application of compartmental models to the kinetics of organochlorine compounds in vertebrates and in eco...

Synaptic plasticity depends on the interaction between electrical activity in neurons and the synaptic proteome, the collection of over 1000 proteins in the post-synaptic density (PSD) of synapses. To construct models of synaptic plasticity with realistic numbers of proteins, we aim to combine rule-based models of molecular interactions in the synaptic proteome with compartmental models of the ...

How Much Testing and Social Distancing is Required to Control COVID-19? Some Insight Based on an Age-Differentiated Compartmental Model

When analyzing pharmacokinetic data, one generally employs either model fitting using nonlinear regression analysis or non-compartmental analysis techniques (NCA). The method one actually employs depends on what is required from the analysis. If the primary requirement is to determine the degree of exposure following administration of a drug (such as AUC), and perhaps the drug’s associated phar...

The current article presents theory for compartmental models used in positron emission tomography (PET). Both plasma input models and reference tissue input models are considered. General theory is derived and the systems are characterized in terms of their impulse response functions. The theory shows that the macro parameters of the system may be determined simply from the coefficients of the ...