In this paper, we propose and analyse a mathematical model for chronic myelogenous leukemia (CML), a cancer of the blood. We model the interaction between naive T cells, effector T cells, and CML cancer cells in the body, using a system of ordinary differential equations which gives rates of change of the three cell populations. One of the difficulties in modeling CML is the scarcity of experim...

Variance-based sensitivity analysis of the probability of hydrologically induced slope instability Abstract Analysis of the sensitivity of predictions of slope instability to input data and model uncertainties provides a rationale for targeted site investigation and iterative refinement of geotechnical models. However, sensitivity methods based on local derivatives do not reflect model behaviou...

In this chapter we explain variance reduction techniques from the Hilbert space standpoint, in the terminating simulation context. We use projection ideas to explain how variance is reduced, and to link different variance reduction techniques. Our focus is on the methods of control variates, conditional Monte Carlo, weighted Monte Carlo, stratification, and Latin hypercube sampling.

The power consumption of the agitator is a critical variable to consider in design mixing system. It generally evaluated through dimensionless number known as N p $$ {N}_p . Multiple empirical equations exist calculate based on Reynolds Re \operatorname{Re} and geometrical variables that characterize tank, impeller, height fluid. However, correlations perform poorly outside conditions which the...

In order to improve the operation performance of multi-stage double-suction centrifugal pump and reduce internal energy loss pump, this paper proposes a single-objective optimization design method based on non-hierarchical response surface methodology (RSM) multi-island genetic algorithm (MIGA). Nine parameters, such as blade outlet width wrap angle, were used variables, objective was efficienc...

In this study, uncertainty and sensitivity analyses were performed with MELCOR 2.2.18 to study the hydrogen generation (figure-of-merit (FoM)) during in-vessel phase of a severe accident in light water reactor. The focus work was laid on large generation-III pressurized reactor (PWR) double-ended hot leg (HL) break loss coolant (LB-LOCA) without safety injection (SI). FPT-1 Phebus integral expe...

The graded distribution of Pt loading in the catalyst layer (CL) and porosity gas diffusion (GDL) significantly affect spatial distributions electrochemical reaction mass transport rates, thus influencing cell performance durability. A sophisticated physics-based model is established to study influence GDL at cathode, with their function obeying elliptic equation along in-plane through-plane di...

Microgrid is commonly regarded as an efficient way for integration of distributed generation (DG) in low voltage network. However, the integration method of microgrid in power system for maximum benefit needs to be further promoted. In this paper, a stochastic bidding strategy of microgrid in a joint dayahead market of energy and spinning reserve service is proposed taking into account of uncer...