As cancer patient survival improves, late effects from treatment are becoming the next clinical challenge. Chemotherapy and radiotherapy, for example, potentially increase risk of both morbidity mortality second malignancies cardiovascular disease. To provide clinically relevant population-level measures effects, it is importance to (1) simultaneously estimate risks mortality, (2) partition the...

Abstract Digital twin technology has a huge potential for widespread applications in different industrial sectors such as infrastructure, aerospace, and automotive. However, practical adoptions of this have been slower, mainly due to lack application-specific details. Here we focus on digital framework linear single-degree-of-freedom structural dynamic systems evolving two operational time scal...

A classical approach to design controllers for interconnected systems, is assume that the different subsystems operate at time scales, then simpler within each scale, and finally, certify stability of system via singular perturbation analysis. In this work, we propose an alternative also allows individual separately. However, instead requiring a sufficiently large time-scale separation, our con...

There is a critical need for identifying time-sensitive and cost-effective markers of psychosis risk early in the illness course. One solution may lie affect dynamics, or fluctuations across time, which have been demonstrated to predict transitions psychopathology. Across three studies, current research first comprehensively investigate dynamics relation subthreshold positive symptoms (perceptu...

A new method for solving numerically stochastic partial differential equations (SPDEs) with multiple scales is presented. The method combines a spectral method with the heterogeneous multiscale method (HMM) presented in [W. E, D. Liu, and E. Vanden-Eijnden, Comm. Pure Appl. Math., 58(11):1544–1585, 2005]. The class of problems that we consider are SPDEs with quadratic nonlinearities that were s...

The present article investigates effects of the multi-frequency excitation on the output power of a piezomagnetoelastic energy harvester. The piezomagnetoelastic power generator is assumed to operate in the mono-stable mode. A perturbation technique based on the method of multiple scales is employed to develop an analytical solution to nonlinear differential equations governing the system dynam...

Dynamic Analysis of an axially moving cable with time dependent tension and velocity isstudied in this paper. Tension force and the moving speed are assumed to be harmonic.It is found that there exists a specific value of speed in which natural frequency of the system approacheszero. This specific speed for such a critical condition is called critical speed and it will be proved thatincreasing ...