In this paper, we will analyze the bifurcation dynamics of an in vivo model of Plasmodium falciparum. The main attention of this model is focused on the dynamics of cross-reactivity from antigenic variation. We apply the techniques of coupled cell systems to study this model. It is shown that synchrony-breaking Hopf bifurcation occurs from a nontrivial synchronous equilibrium. In proving the ex...

In this paper, a symbolic method is proposed for analyzing the bifurcation in switching power converters. This method focuses on the cyclic operation of the system which characterizes its bifurcation behavior. The concept of block sequence is introduced, which, in conjunction with the periodicity of the system, can be used to distinguish the various types of bifurcation behavior, e.g., “smooth”...

In this note, we consider Hopf bifurcation control for an Internet congestion model with a single route accessed by a single source. It has been shown that the system without control cannot guarantee a stationary sending rate. As the positive gain parameter of the system passes a critical point, Hopf bifurcation occurs. To control the Hopf bifurcation, a time-delayed feedback controller using p...

We study the structure of the 2D bifurcation diagram for a two-parameter family of piecewise smooth unimodal maps f with one break point. Analysing the parameters of the normal form for the border-collision bifurcation of an attracting n-cycle of the map f, we describe the possible kinds of dynamics associated with such a bifurcation. Emergence and role of border-collision bifurcation curves in...

In vitro studies have demonstrated that geometry of the carotid bifurcation predicts blood flow alterations associated with atherosclerotic plaque formation. We investigated intraindividual asymmetry of carotid atherosclerosis by measuring geometric aspects of the carotid bifurcation. We measured diameter stenosis, the internal carotid artery/common carotid artery area ratio, and the angle of t...

This paper studies the, codimension-3, Boundary-Hopf-Fold (BHF) bifurcation of planar Filippov systems. Filippov systems consist of at least one discontinuity boundary locally separating the phase space to disjoint components with different dynamics. Such systems find applications in several fields, for example, mechanical and electrical engineering, and ecology. The BHF bifurcation appears in ...

Modified eversion carotid endarterectomy (meCEA) is an alternative to classical patch angioplasty or eversion. An meCEA involves everting the plaque through a longitudinal incision over common artery without transecting internal (ICA). Those who advocate cite propensity of luminal narrowing from procedure restenosis as reason avoid primary repair. We seek objectively quantify outcome after repa...

Bifurcation aneurysms (carotid bifurcation aneurysms, top of basilar artery aneurysms and middle cerebral artery aneurysms) are frequently treated by endovascular treatment (EVT) but their treatment is sometimes difficult singularly when the neck is wide. The "remodelling technique" is used for the treatment of these difficult aneurysms. However, the use of this technique is more complicated in...

A model for bifurcation regions of the human tracheo-bronchial tree was developed. Equations for the surfaces are given to enable calculations of doses from alpha-particles emitted in these regions. It has been found that a bifurcation region is well approximated by a quasi-ellipsoid. The absorbed fractions of alpha-particles emitted in bifurcation regions were calculated by the Monte Carlo met...