In biology and mathematics compartmental systems are frequently used. System identiica-tion of systems based on physical laws often involves parameter estimation. Before parameter estimation can take place, we have to examine whether the parameters are structurally iden-tiiable. In this paper we propose a test for the structural identiiability of linear mamillary compartmental systems. The meth...

The transfer functions of discrete-time SISO compartmental systems whose compartments are connected either in series or in parallel are characterized, and then the corresponding realization problem is studied. The obtained results are extended to the transfer matrix of N-periodic compartmental systems.

Abstract We present a symbolic algorithmic approach that allows to compute invariant manifolds and corresponding reduced systems for differential equations modeling biological networks which comprise chemical reaction cellular biochemistry, compartmental models pharmacology, epidemiology ecology. Multiple time scales of given network are obtained by scaling, based on tropical geometry. Our redu...

The spread of the SARS-CoV-2 modeling is a challenging problem because its complex nature and lack information regarding certain aspects. In this paper, we explore Digital Twin approach to model pandemic situation in Catalonia. composed three different dynamic models used perform validations by Model Comparison approach. We detail how use obtain knowledge effects nonpharmaceutical interventions...

A highly distinctive feature of neurons is their morphology. Neurons exhibit long processes, or neurites, that are fundamental to the formation of the connected networks of neurons that constitute a nervous system. One neurite, the axon, forms the output electrical signalling pathway of a neuron. A typical axon has a main trunk from which shorter side branches, or collaterals, emerge to form po...

The electric conductivity of deformable bi-compartmental particles depends on the ratio their swelling compartment and orientation.

We consider the family of edge-based compartmental models for epidemic spread developed in Miller et al. (J R Soc Interface 9(70):890-906, 2012). These models allow for a range of complex behaviors, and in particular allow us to explicitly incorporate duration of a contact into our mathematical models. Our focus here is to identify conditions under which simpler models may be substituted for mo...