Brydon Eastman

Brydon Eastman
University of Waterloo | UWaterloo · Department of Applied Mathematics

Master of Science

About

10
Publications
683
Reads
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25
Citations
Introduction
I've enjoyed four years of undergraduate research resulting in publications in peer-reviewed journals, presenting technical projects to large audiences at conferences, and working on freelance software development projects. I received an Honours Bachelors of Science degree from Redeemer University College with two majors. One an honours major in mathematics and the other a four-year major in Computer Science. I have a Masters degree at McMaster University in Mathematical Biology and am currently pursuing a Ph.D. at the University of Waterloo in Mathematical Oncology.
Additional affiliations
September 2019 - present
University of Waterloo
Position
  • Instructor
Description
  • I was an instructor for MATH 115 - Calculus I for Engineering and MATH 137 - Calculus I for Honours Mathematics
April 2012 - August 2015
Redeemer University College
Position
  • Research Assistant
Education
September 2015 - April 2017
McMaster University
Field of study
  • Mathematics
January 2011 - April 2015
Redeemer University College
Field of study
  • Computer Science
January 2011 - April 2015
Redeemer University College
Field of study
  • Mathematics

Publications

Publications (10)
Article
Full-text available
The in-silico development of a chemotherapeutic dosing schedule for treating cancer relies upon a parameterization of a particular tumour growth model to describe the dynamics of the cancer in response to the dose of the drug. In practice, it is often prohibitively difficult to ensure the validity of patient-specific parameterizations of these mode...
Preprint
Full-text available
The in-silico development of a chemotherapeutic dosing schedule for treating cancer relies upon a parameterization of a particular tumour growth model to describe the dynamics of the cancer in response to the dose of the drug. In practice, it is often prohibitively difficult to ensure the validity of patient-specific parameterizations of these mode...
Article
Full-text available
The outbreak of SARS-CoV-2 is thought to have originated in Wuhan, China in late 2019 and has since spread quickly around the world. To date, the virus has infected tens of millions of people worldwide, compelling governments to implement strict policies to counteract community spread. Federal, provincial, and municipal governments have employed va...
Article
Full-text available
A model of predator-prey interaction in a chemostat with Holling Type II functional and numerical response functions ofthe Monod or Michaelis-Menten form is considered. It is proved that local asymptotic stability of the coexistence equilibriumimplies that it is globally asymptotically stable. It is also shown that when the coexistence equilibrium...
Article
The cancer stem cell hypothesis claims that tumor growth and progression are driven by a (typically) small niche of the total cancer cell population called cancer stem cells (CSCs). These CSCs can go through symmetric or asymmetric divisions to differentiate into specialised, progenitor cells or reproduce new CSCs. While it was once held that this...
Article
Full-text available
The class of sparse companion matrices was recently characterized in terms of unit Hessenberg matrices. We determine which sparse companion matrices have the lowest bandwidth, that is, we characterize which sparse companion matrices are permutationally similar to a pentadiagonal matrix and describe how to find the permutation involved. In the proce...
Article
Full-text available
We explore combinatorial matrix patterns of order n for which some matrix entries are necessarily nonzero, some entries are zero, and some are arbitrary. In particular, we are interested in when the pattern allows any monic characteristic polynomial with real coefficients, that is, when the pattern is spectrally arbitrary. We describe some order n...
Article
Companion matrices, especially the Frobenius companion matrices, are used in algorithms for finding roots of polynomials and are also used to find bounds on eigenvalues of matrices. In 2003, Fiedler introduced a larger class of companion matrices that includes the Frobenius companion matrices. One property of the combinatorial pattern of these comp...

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