Research Publications (Mathematical and Statistical Sciences)

2023-01-30

Thomas Hillen, Alexandra Shyntar

Cancer stem cells (CSCs) are pluripotent cancer cells, which are less sensitive to treatments, and which can generate new tumors once transplanted into a healthy tissue environment. They have been identified in many cancers and they are the driving force of cancer growth and metastasis....

2019-01-01

Jody R. Reimer, Marc Mangel, Andrew E. Derocher, Mark A. Lewis

Animals must balance a series of costs and benefits while trying to maximize their fitness. For example, an individual may need to choose how much energy to allocate to reproduction versus growth, or how much time to spend on vigilance versus foraging. Their decisions depend on complex...

2008-01-01

Péter K. Molnár, Andrew E. Derocher, Mark A. Lewis, Mitchell K. Taylor

2020-01-19

Mélodie Kunegel-Lion, Mark A. Lewis

The efficacy of direct control methods in bark beetle outbreaks is a disputed topic. While some studies report that control reduces tree mortality, others see little effect. Existing models, linking control rate to beetle population dynamics and tree infestations, give insights, but there is a...

2016-01-01

Nathan G. Marculis, Roger Lui, Mark A. Lewis

We investigate the inside dynamics of solutions to integrodifference equations to understand the genetic consequences of a population with nonoverlapping generations undergoing range expansion. To obtain the inside dynamics, we decompose the solution into neutral genetic components. The inside...

2003

Kouritzin, Michael, Ma, Xinjian, Long, Hongwei, Sun, Wei

Nonlinear filtering is an important and effective tool for handling estimation of signals when observations are incomplete, distorted, and corrupted. Quite often in real world applications, the signals to be estimated contain unknown parameters which need to be determined. Herein, we develop and...

2024-01-29

Liu, Guodong, Wang, Hao, Zhang, Xiaoyan

2024-02-26

Liu, Guodong, Wang, Hao, Zhang, Xiaoyan

Abstract (description taken from article) Fick’s law and the Fokker–Planck law of diffusion are applied to manifest the cognitive dispersal of individuals in two reaction-diffusion SEIR epidemic models, where the disease transmission is illustrated by nonlocal infection mechanisms in...

2008

Kouritzin, Michael, Newton, Fraser, Orsten, Sterling, Wilson, Daniel

Classification of data as true or fabricated has applications in fraud detection and verification of data samples. In this paper, we apply nonlinear filtering to a simplified fraud-detection problem: classifying coin flip sequences as either real or faked. On the way, we propose a method for...

2008

Kouritzin, Michael, Long, H.

In this paper, we give a direct derivation of the Duncan–Mortensen–Zakai filtering equation, without assuming right continuity of the signal, nor its filtration, and without the usual finite energy condition. As a consequence, the Fujisaki–Kallianpur–Kunita equation is also derived. Our results...