The reference paper demonstrated that a negative feedback loop combined with intrinsic ultrasensitivity of the MAPK cascade can bring about sustained oscillations in MAPK phosphorylation. Based on the cascade model given in the reference, I attempt to perform bifurcation analysis on a few isolated parameters. The Kinetic scheme of the MAPK cascade is shown below in Figure 1: Figure 1. Kinetic S...

In this paper, we discuss a voting model by considering three different kinds of networks: a random graph, the Barabási-Albert(BA) model, and a fitness model. A voting model represents the way in which public perceptions are conveyed to voters. Our voting model is constructed by using two types of voters–herders and independents–and two candidates. Independents conduct voting based on their fun...

Recent data from Au + Au reactions at √ sNN = 130 and 200 GeV from RHIC show striking difference between baryons and mesons in the intermediate transverse momentum region 2 < p⊥ < 5 GeV. First, elliptic flow scales with constituent quark number[ 1, 2, 3, 4, 5]. The flow per constituent quark as a function of transverse momentum per constituent quark, v 2 (pT/n)/n (n = 2 for mesons, 3 for baryon...

Diffusion is a process by which information, viruses, ideas, or new behavior spread over social networks. Traditional diffusion models are history insensitive, i.e. only giving activated nodes a one-time chance to activate each of its neighboring nodes with some probability. But history dependent interactions between people are often observed in the real world. This paper proposes the History S...

It is proposed that the cooling of a thermalized SU(N) gauge theory can be formulated in terms of a cascade involving three effective theories with successively reduced (and spontaneously broken) gauge symmetries, SU(N)→ U(1)N−1 →Z(N). The approach is based on the assumption that away from a phase transition the bulk of the quantum interaction inherent to the system is implicitly encoded in the...

In this issue of the Netherlands Heart Journal, Jansen et al. describe the influence stress echocardiography has on clinical decision-making in patients with mitral valve disease [1]. In 1935, Tenant and Wiggers described the sequelae of coronary occlusion [2]. From their description the ischaemic cascade has been derived. In this cascade, symptoms are a relatively late phenomenon and are prece...

A cascade thermoacoustic engine is described, consisting of one standing-wave stage plus two traveling-wave stages in series. Most of the acoustic power is produced in the efficient traveling-wave stages. The straight-line series configuration is easy to build and allows no Gedeon streaming. The engine delivers up to 2 kW of acoustic power, with an efficiency (the ratio of acoustic power to hea...

Cascade is a static program analysis tool developed at New York University. It uses bounded model checking to generate verification conditions and checks them using an SMT solver which either produces a proof of correctness or gives a concrete trace showing how an assertion can fail. It supports the majority of standard C features except for floating point. A distinguishing feature of Cascade i...

In this paper, we propose a novel approach for efficient training of deep neural networks in a bottom-up fashion using a layered structure. Our algorithm, which we refer to as Deep Cascade Learning, is motivated by the Cascade Correlation approach of Fahlman [1] who introduced it in the context of perceptrons. We demonstrate our algorithm on networks of convolutional layers, though its applicab...