Understanding Ebola necessarily requires the characterization of the ecology of its main enzootic reservoir, i.e. bats, and its interplay with seasonal and enviroclimatic factors. Here we present a SIR compartmental model where we implement a bidirectional coupling between the available resources and the dynamics of the bat population in order to understand their migration patterns. Our compart...

Remifentanil is a new opioid derivative drug characterized by a fast onset and by a short time of action, since it is rapidly degraded by esterases in blood and other tissues. Its pharmacokinetic and pharmacodynamics properties make remifentanil a very interesting molecule in the field of 0anesthesia. However a complete and versatile pharmacokinetic description of remifentanil still lacks. In t...

We address the problem of quickly and accurately fitting compartmental models to large numbers of measurements, with application to dynamic positron emission tomograph imaging. An analytic method of calculating the model output function is developed, and compared to the numerical method used by COMKAT [5], the de facto kinetic modeling software. A performance increase of over 130 is demonstrate...

Inspired by the recent developments in modeling and analysis of reaction networks, we provide a geometric formulation of the reversible reaction networks under the influence of diffusion. Using the graph knowledge of the underlying reaction network, the obtained reaction-diffusion system is a distributed-parameter port-Hamiltonian system on a compact spatial domain. Motivated by the need for co...

This review gives a short historical account of the excitable maps approach for modeling neurons and neuronal networks. Some early models, due to Pasemann (1993), Chialvo (1995) and Kinouchi and Tragtenberg (1996), are compared with more recent proposals by Rulkov (2002) and Izhikevich (2003). We also review map-based schemes for electrical and chemical synapses and some recent findings as crit...

PET and SPECT using appropriate radioligands allow imaging of certain critical components of neurotransmission such as presynaptic transporters and postsynaptic receptors in living human brains. PET and SPECT data are commonly analyzed by applying tracer kinetic models. These modeling approaches assume a compartmental system and derive the outcome measure called the binding potential, which ref...

We model the intrinsic dynamic behavior of a neuron using stochastic differential equations and Brownian motion. Basis of our work is the deterministic one-compartmental multi-conductance model of cerebellar granule cell. We develop a novel modeling approach for our test neuron by incorporating the stochasticity inherently present in the operation of voltage-dependent ion channels. Our new stoc...

The COVID-19 global health crisis has had a significant impact on societies worldwide. To evaluate the effectiveness of transmission prevention strategies, infectivity modeling can be used to interpret and analyze various virus responses. In this study, compartmental approaches are model quantify success control techniques, such as social behaviors. Newfoundland Labrador (NL), province in Canad...