This paper proposes two modeling approaches to predict lung tumor dynamics as an effect of radiotherapy. Real clinical information non-small cell cancer (NSCLC) patients undergoing stereotactic body radiation therapy (SBRT) the primary treatment method has been used for numerical simulations. The classical Gompertz model volume growth prediction was modified using a fractional parameter and com...

the pharmacokinetic parameters of ceftazidime, a third generation cephalosporin, were investigated in six buffalo calves after single intravenous (iv) and intramuscular (im) administration at a dose rate of 10 mg/kg body weight. ceftazidime concentrations in plasma and urine were determined by microbiological assay. ceftazidime disposition was best fitted by a two-compartmental and a one-compar...

In this supplementary information, we give additional information for the edge-based compartmental modeling approach for the spread of susceptible-infected-recovered (SIR) diseases in different types of static and dynamic networks. We give a more detailed discussion of the use of a test node and the assumption that test nodes do not cause infections. We then discuss the calculation of R0, the b...

A simple size-dependent compartmental model was developed to describe airborne dust exposure dynamics for the human respiratory tract (HRT) in mechanically ventilated swine buildings. Transport mechanisms of airborne dust for HRT include respiration, gravitational settling, turbulent diffusive deposition, inertial impaction, interception deposition loss, and dust clearance. The dominant deposit...

The compartment model analysis using medical imaging data is the well-established but extremely time consuming technique for quantifying the changes in microvascular physiology of targeted organs in clinical patients after antivascular therapies. In this paper, we present a first graphics processing unit-accelerated method for compartmental modeling of medical imaging data. Using this approach,...

Computational disease spread models can be broadly classified into differential equation-based (EBM) and agentbased models (ABM). We examine these models in the context of illuminating their hidden assumptions and the impact these may have on the model outcomes. Drawing relevant conclusions about usability of a model requires reliable information regarding its modeling strategy and its associat...

Mathematical models have been used to understand the transmission dynamics of infectious diseases and to assess the impact of intervention strategies. Traditional mathematical models usually assume a homogeneous mixing in the population, which is rarely the case in reality. Here, we construct a new transmission function by using as the probability density function a negative binomial distributi...

The prevalent model to describe propagation of neural membrane voltage responses to ion currents is the cable equation. The cable equation is a parabolic-type partial differential equation, which is frequently studied with the use of compartmental models. This paper explores other solution techniques for this type of partial differential equation, specifically the finite difference and finite e...

Nonnegative and compartmental dynamical system models are widespread in biological, physiological, and pharmacological sciences. Since the state variables of these systems are typically masses or concentrations of a physical process, it is of interest to determine necessary and sufficient conditions under which the system states possess monotonic solutions. In this paper, we present necessary a...

An administration of large doses of an antigen brings about immunological tolerance (unresponsiveness) to the next challenge with the same antigen. A hypothesis on the mechanism of tolerance to Human Serum Albumin (HSA) induced in chickens was formulated mathematically using compartmental models. By comparison of the modelled and experimental results, the presence of some additional mechanism w...