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 ...

Compartmental epidemic models have been widely used for predicting the course of epidemics, from estimating basic reproduction number to guiding intervention policies. Studies commonly acknowledge these models' assumptions but less often justify their validity in specific context which they are being used. Our purpose is not argue alternatives or modifications compartmental models, rather show ...

The graphical analysis uses an ordinary least squares (OLS) fitting of transformed data to determine the total volume of distribution (VT) and is not dependent upon a compartmental model configuration. This method, however, suffers from a noise-dependent bias. Approaches for reducing this bias include incorporating a presmoothing step, minimizing the squared perpendicular distance to the regres...

OBJECTIVE To characterize the pharmacokinetics (PK) of vancomycin in patients in the initial phase of septic shock. METHODS Twelve patients with septic shock received an intravenous infusion of vancomycin 30 mg/kg over 2 h. The vancomycin PK study was conducted during the first 12 h of the regimen. Serum vancomycin concentration-time data were analyzed using the standard model-independent ana...

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

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 ...