In this article, a mathematical model describing the growth orterminating myelogenous leukemia blood cancer's cells against naive T-celland eective T-cell population of body, presented by fractional dierentialequations. We use this model to analyze the stability of the dynamics, whichoccur in the local interaction of eector-immune cell and tumor cells. Wewill also investigate the optimal contro...

Thresholds occur, and play an important role, in the dynamics of many biological communities. In this paper, we model a persistence type threshold which has been shown experimentally to exist in hyperparasitised flukes in the cockle, a shellfish. Our model consists of a periodically driven slow-fast host-parasite system of equations for a slow flukes population (host) and a fast Unikaryon hyper...

in despite of all progress in technology in mining industry, still labor is one of the key factors in mining operation. this paper presents a system dynamics approach to evaluate the mining labor productivity. therefore, after the identification of main effective variables, two quantitative and qualitative models were built. the qualitative model illustrates the complex interrelated structure o...

This paper proposes a systems approach to tackling alcohol misuse based on System Dynamics modelling. The problem of binge drinking in the UK is first described along with its negative impact on health, society and the economy. A review of the current literature follows, and the systemic nature of the problem explained. System dynamics is proposed as a holistic approach to investigate the probl...

the start up dynamics of a one-million and two-hundred-thousand liter anaerobic digester of municipal waste treatment sludge was studied. in the digester, mixing was accomplished by circulation of the produced biogas at a rate of 0.13 m3 per hour of the digester volume per hour. during the nine-month study, no serious phenomena of foaming, getting sour, temperature fall, etc. were observed desp...

Simplification of a large system dynamics model and validation of the simplified version is illustrated. The original model represents agricultural and environmental problems of irrigation development in Southeast Turkey and consists of 62 stock variables. Its simplified version with a narrow model boundary and higher level of aggregation is a general representation of its selected dynamics and...

Hybrid discrete-continuous models, such as Jump Markov Linear Systems, are convenient tools for representing many real-world systems; in the case of fault detection, discrete jumps in the continuous dynamics are used to model system failures. Stochastic uncertainty in hybrid systems arises in both the continuous dynamics, in the form of uncertain state estimation, disturbances or uncertain mode...

the continuum based approaches don’t provide the correct physics in atomic scales. on the other hand, the molecular based approaches are limited by the length and simulated process time. as an attractive alternative, this paper proposes the fixed interfacial multiscale method (fimm) for computationally and mathematically efficient modeling of solid structures. the approach is applicable to mult...

this paper presents an overview of model updating and particularly its application for updating of frame model. in this article a mathematical model of the frame was produced with finite element method. the frame was subjected to hammer modal testing. then the results of the modal testing were compared with those predicted with the model. this comparison revealed discrepancies between these two...