- Advanced Queuing Theory Analysis
- Crystallization and Solubility Studies
- X-ray Diffraction in Crystallography
- Probability and Risk Models
- Aortic aneurysm repair treatments
- Aortic Disease and Treatment Approaches
- Simulation Techniques and Applications
- Petri Nets in System Modeling
- Healthcare Operations and Scheduling Optimization
- Network Traffic and Congestion Control
- Random Matrices and Applications
- Stochastic processes and statistical mechanics
- Markov Chains and Monte Carlo Methods
- Wireless Communication Networks Research
- Infectious Aortic and Vascular Conditions
- COVID-19 epidemiological studies
- Cardiac, Anesthesia and Surgical Outcomes
- Vascular Procedures and Complications
- Advanced Wireless Network Optimization
- Cardiac Valve Diseases and Treatments
- Crystallography and molecular interactions
- Transportation Planning and Optimization
- Big Data and Business Intelligence
- Peer-to-Peer Network Technologies
- Mathematical and Theoretical Epidemiology and Ecology Models
The University of Melbourne
2015-2024
Ecosystem Sciences
2023
Institute of Development Studies
2021-2022
Cardiff University
2021
ARC Centre of Excellence for Mathematical and Statistical Frontiers
2016-2021
Australian Research Council
2016-2021
Institute of Development Studies
2021
Guy's Hospital
1987-2015
St Thomas' Hospital
2001-2014
Kings Health Partners
2011-2014
Uncomplicated acute type B aortic dissection (AD) treated conservatively has a 10% 30-day mortality and up to 25% need intervention within 4 years. In complicated AD, stent grafts have been encouraging. The aim of the present prospective randomised trial was compare best medical treatment (BMT) with BMT Gore TAG graft in patients uncomplicated AD. primary endpoint combination incomplete/no false lumen thrombosis, dilatation, or rupture at 1 year.The AD history had be less than 14 days,...
Background— Mycotic aortic aneurysm (MAA) is a rare and life-threatening disease. The aim of this European multicenter collaboration was to study the durability endovascular repair (EVAR) MAA, by assessing late infection–related complications long-term survival. Methods Results— All EVAR treated MAAs, between 1999 2013 at 16 centers, were retrospectively reviewed. One hundred twenty-three patients with 130 MAAs identified. Mean age 69 years (range 39–86), 87 (71%) men, 58 (47%) had...
Quasi-Birth-and-Death (QBD) processes have been analysed in detail by many authors. This paper considers the calculation of equilibrium distributions level dependent QBD which are an extension classical process. In addition to general case, we consider a number special cases processes, presenting algorithms for computing distribution
This is a report about the use and misuse of citation data in assessment scientific research.The idea that research must be done using "simple objective" methods increasingly prevalent today.The are broadly interpreted as bibliometrics, is, statistics derived from them.There belief inherently more accurate because they substitute simple numbers for complex judgments, hence overcome possible subjectivity peer review.But this unfounded.• Relying on not when improperly used.Indeed, can mislead...
Comparison of gene expression in stable versus unstable atherosclerotic plaque may be confounded by interpatient variability. The aim this study was to identify differences between and segments obtained from the same patient.Human carotid endarterectomy specimens were segmented macroscopically classified using a morphological classification system. Two analytical methods, an intraplaque interplaque analysis, revealed 170 1916 differentially expressed genes, respectively Affymetrix chip...
We are interested in queues which customers of different classes arrive to a service facility, and where performance targets specified for each class. The manager such queue has the task implementing queueing discipline that results all being met simultaneously. For case terms ratios mean waiting times, as long ago 1960s, Kleinrock suggested ensure achieved. He proposed accumulate priority linear function their time queue: higher urgency customer's class, greater rate at customer accumulates...
Background A morning peak in occurrence of sudden cardiac death has been identified epidemiological studies, but the studies are subject to selection bias, with exclusion unwitnessed deaths, which more likely occur at night. The recent availability implantable cardioverter/defibrillators that record time ventricular tachyarrhythmias requiring either pacing or shock therapy provides an opportunity clarify timing predisposing death. Analysis arrhythmias different patient subgroups, such as...
Parrondo's games present an apparently paradoxical situation where individually losing can be combined to win. In this article we analyze the case of two coin tossing games. Game B is played with biased coins and has state-dependent rules based on player's current capital. exhibit detailed balance or even negative drift (i.e., loss), depending chosen parameters. A a single that produces loss in However, winning expectation achieved by randomly mixing B. One possible interpretation pictures...
To measure the radiation exposure of operating team during endovascular aortic procedures, and to determine factors that predict high exposures.Electronic dosimeters placed over under protective lead garments, were used prospectively record repairs performed in a designated interventional radiology suite. Univariate multivariate linear regression analyses predictors performed.A total 26 infra-renal 10 thoracic cases studied. Median (IQR) patient age body mass index 76.0 (70.0-81.8) years...
Bitcoin is a electronic payment system where transactions are verified and stored in data structure called the blockchain. miners work individually to solve computationally intensive problem, with each solution block generated, resulting new arrival The difficulty of computational problem updated every 2,016 blocks order control rate at which generated. In original paper, it was suggested that blockchain arrivals occur according homogeneous Poisson process. Based on stochastic analysis...
In this paper we consider systems which are generalizations of the standard quasi-birth-and-death processes (QBDs) in two directions. We allow transition probabilities to be level-dependent and there possibly infinitely many phases at each level. Our first results explicit expressions for matrices G k , containing that a process reaches level phase j, given it starts i k, R expected number visits j before return levelk. From these expressions, generalization well-known matrix-geometric...
Quasi-birth-and-death (QBD) processes with infinite "phase spaces" can exhibit unusual and interesting behavior.One of the simplest examples such a process is two-node tandem Jackson network, "phase" giving state first queue "level" second queue.In this paper, we undertake an extensive analysis properties QBD.In particular, investigate spectral Neuts's R-matrix show that decay rate stationary distribution not always equal to convergence norm R. In fact, obtain any from certain range by...
Abstract Stochastic Petri Nets are used extensively to find performance measures for communication protocols. This paper illustrates how equilibrium distributions the markings of a wide class nets can be found directly without need generate large state space and then resort balance equations.
Abstract The class of matrix-exponential distributions can be equivalently defined as the all with rational Laplace–Stieltjes transform. An immediate question that arises is: when does a transform correspond to distribution? For has pole maximal real part is and negative, we give geometric description admissible numerator polynomials rise distributions. Using this approach complete characterization for order three. Keywords: Matrix-exponential distributionRational transformMathematics...
Significant problems in health care, such as access block and long waiting lists for elective surgery, have led to calls keeping hospital occupancy at no more than 85%. It is elementary queueing theory that a finite-capacity system with variable demand cannot sustain both full utilisation availability. However, the statement there single level of ideal or safe suitable all situations simplistic interpretation application underlying science. We argue specific study action are necessary...