High-dimensional compartmental dynamical systems have been introduced to model brain metabolism. In this article, an approach is proposed to their mathematical analysis. Reductions of these models are obtained by replacing several compartments by a control term. The analysis focuses here on lactate kinetics. A mathematical analysis of the initial dip of lactacte, observed under stimulation, and...

Patients at risk for compartmental syndromes challenge both the diagnostic and the therapeutic abilities of the physician. Suboptimum results may be due to delays in diagnosis and treatment, to incomplete surgical decompression, and to difficulties in the management of the limb after decompression. Although careful clinical assessment permits the diagnosis of a compartmental syndrome in most pa...

A compartmental network is formulated in which each of N compartments represents a possible behavioral state of a discrete population immigrating from outside sources. The network contains absorbing states (sinks) sufficient to maintain an accounting record of every individual that enters the network. Time dependent distributions of counts of individuals in every compartment are given for the c...

This paper introduces a novel extension of the edge-based compartmental model to epidemics where the transmission and recovery processes are driven by general independent probability distributions. Edge-based compartmental modelling is just one of many different approaches used to model the spread of an infectious disease on a network; the major result of this paper is the rigorous proof that t...

Compartmental models based on tracer mass balance are extensively used in clinical and pre-clinical nuclear medicine in order to obtain quantitative information on tracer metabolism in the biological tissue. This paper is the second of a series of two that deal with the problem of tracer coefficient estimation via compartmental modelling in an inverse problem framework. While the previous work ...

Abstract There are two types of models useful in the study of worm propagation for a given number of terminals in a trusted network i.e. deterministic and stochastic model. The deterministic models, also known as compartmental models are in the form of epidemic models. These epidemic models consist of different states called compartments so these models are also known as compartmental models. A...

This paper presents a compartmental model-based control strategy to drive the NeuroMuscular Blockade level of patients undergoing general anesthesia to a predefined target. For that purpose, a compartmental realization of a minimally parameterized nonlinear Wiener model was derived and used on an adapted version of the standard compartmental control law for linear systems. The identification of...

OBJECTIVES Knee pain and disability in older people may occur in the apparent absence of radiographic osteoarthritis. However, the view chosen to define radiographic osteoarthritis may be critical. We have investigated the prevalence and compartmental distribution of radiographic osteoarthritis in people with knee pain using different combinations of three separate radiographic views. METHODS...

Positron emission tomography (PET) is an imaging technique which can be used to investigate chemical changes in human biological processes such as cancer development or neurochemical reactions. Most dynamic PET scans are currently analyzed based on the assumption that linear first-order kinetics can be used to adequately describe the system under observation. However, there has recently been st...