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- Murray E. Alexander, Seyed M. Moghadas
- Mathematical biosciences
- 2004

We develop and analyze a simple SIV epidemic model including susceptible, infected and perfectly vaccinated classes, with a generalized non-linear incidence rate subject only to a few general conditions. These conditions are satisfied by many models appearing in the literature. The detailed dynamics analysis of the model, using the Poincaré index theory,… (More)

- Abba B. Gumel, Shigui Ruan, +9 authors Beni M. Sahai
- Proceedings. Biological sciences
- 2004

Severe acute respiratory syndrome (SARS), a new, highly contagious, viral disease, emerged in China late in 2002 and quickly spread to 32 countries and regions causing in excess of 774 deaths and 8098 infections worldwide. In the absence of a rapid diagnostic test, therapy or vaccine, isolation of individuals diagnosed with SARS and quarantine of… (More)

- Murray E. Alexander, Seyed M. Moghadas
- SIAM Journal of Applied Mathematics
- 2005

An SIRS epidemic model, with a generalized nonlinear incidence as a function of the number of infected individuals, is developed and analyzed. Extending previous work, it is assumed that the natural immunity acquired by infection is not permanent but wanes with time. The nonlinearity of the functional form of the incidence of infection, which is subject… (More)

- Murray E. Alexander, Rolf Baumgartner, +4 authors Ray L. Somorjai
- Magnetic resonance imaging
- 2000

Magnetic resonance (MR) images acquired with fast measurement often display poor signal-to-noise ratio (SNR) and contrast. With the advent of high temporal resolution imaging, there is a growing need to remove these noise artifacts. The noise in magnitude MR images is signal-dependent (Rician), whereas most de-noising algorithms assume additive Gaussian… (More)

- Seyed M. Moghadas, Murray E. Alexander
- Mathematical medicine and biology : a journal of…
- 2006

An epidemic model with a generalized non-linear incidence is extended to incorporate the effect of an infection-dependent removal strategy, which is defined as a function of the number of infected individuals. It is assumed that the removal rate decreases from a maximum capacity for removing infected individuals as their number increases. The existence and… (More)

- Murray E. Alexander, Christopher S. Bowman, +5 authors Ping Yan
- Proceedings. Biological sciences
- 2007

Given the danger of an unprecedented spread of the highly pathogenic avian influenza strain H5N1 in humans, and great challenges to the development of an effective influenza vaccine, antiviral drugs will probably play a pivotal role in combating a novel pandemic strain. A critical limitation to the use of these drugs is the evolution of highly transmissible… (More)

- Peter Zhilkin, Murray E. Alexander
- Magnetic resonance imaging
- 2004

Several registration programs with an affine model for the displacement field were tested on various 2D and 3D MRI of the same modality. The following programs were considered: AIR 3.0 (Woods, J. Comp. Assist. Tomogr, 22(1): 139-152, 1998), COCGV (Ostuni, JMRI, 7(2): 410-415, 1997), FLIRT (Jenkinson, Med. Image Analysis, 5(2): 143-156, 2001), Intramodal… (More)

- Murray E. Alexander, Ray L. Somorjai
- Magnetic resonance imaging
- 1996

Acquisition of MR images involves their registration against some prechosen reference image. Motion artifacts and misregistration can seriously flaw their interpretation and analysis. This article provides a global registration method that is robust in the presence of noise and local distortions between pairs of images. It uses a two-stage approach,… (More)

- Peter Zhilkin, Murray E. Alexander
- Magnetic resonance imaging
- 2000

This note describes the implementation of a three-dimensional (3D) registration algorithm, generalizing a previous 2D version [Alexander, Int J Imaging Systems and Technology 1999;10:242-57]. The algorithm solves an integrated form of linearized image matching equation over a set of 3D rectangular sub-volumes ('patches') in the image domain. This integrated… (More)

- Murray E. Alexander, Christopher Bowman, Seyed M. Moghadas, R. Summers, Abba B. Gumel, Beni M. Sahai
- SIAM J. Applied Dynamical Systems
- 2004