User profiles for T. Hillen

Thomas Hillen

Professor, University fo Alberta
Verified email at ualberta.ca
Cited by 8235

A user's guide to PDE models for chemotaxis

T Hillen, KJ Painter - Journal of mathematical biology, 2009 - Springer
… 6 we employ a classification of spikes and plateaus from Hillen [34] to investigate the form of
nonhomogeneous steady state … Hillen, T.: A classification of spikes and plateaus. SIAM Rev. …

Linear quadratic and tumour control probability modelling in external beam radiotherapy

SFC O'Rourke, H McAneney, T Hillen - Journal of mathematical biology, 2009 - Springer
… cell cycle dynamics was developed by Dawson and Hillen [21]. It is known that … and Hillen
split the tumour cell population into two compartments, active cells A(t) and quiescent cells Q(t) …

The diffusion limit of transport equations derived from velocity-jump processes

HG Othmer, T Hillen - SIAM Journal on Applied Mathematics, 2000 - SIAM
… or T to depend on x and/or t parametrically and the same conclusion would hold pointwise in
x and t… If we allow λ and/or T to depend on x and/or t, then the pseudoinverse does also and …

The diffusion limit of transport equations II: Chemotaxis equations

HG Othmer, T Hillen - SIAM Journal on Applied Mathematics, 2002 - SIAM
… However, to simplify the notation, we write T = T(v, v , ˆS) and λ(v, ˆS) to indicate that T
and λ depend on the function S rather than on the density S(ξ,τ) only at (ξ,τ). In particular, …

[PDF][PDF] Volume-filling and quorum-sensing in models for chemosensitive movement

KJ Painter, T Hillen - Can. Appl. Math. Quart, 2002 - math.ualberta.ca
… We define ui(t) to be the probability of a walker to be at i ∈ Z at time t, conditioned on
beginning at i = 0 at t = 0. We assume this evolves according to the continuous-time discrete-space …

Primary dysmenorrhea in young Western Australian women: prevalence, impact, and knowledge of treatment

TIJ Hillen, SL Grbavac, PJ Johnston, JAY Straton… - Journal of adolescent …, 1999 - Elsevier
Purpose: To explore the prevalence of dysmenorrhea among senior high school girls in
Perth, Western Australia, its impact on school, sporting, and social activities, students’ …

Global existence for a parabolic chemotaxis model with prevention of overcrowding

T Hillen, K Painter - Advances in Applied Mathematics, 2001 - Elsevier
… The function ut x describes the particle density at time t, at position x ∈ ; vt x is the density of
… Here we have made use of g2 ≥ 0, v ≥ 0 and the fact that Tµ t is positive. From Lemma 2.1, …

[HTML][HTML] The spotting distribution of wildfires

J Martin, T Hillen - Applied Sciences, 2016 - mdpi.com
… The solution to the first equation, given an initial condition z 0 , is z ( t ; z 0 ) = z 0 + v t , which
we then use to solve the equation for x. Notice that since v < 0 , the heights z are decreasing …

Cause of stroke recurrence is multifactorial: patterns, risk factors, and outcomes of stroke recurrence in the South London Stroke Register

T Hillen, C Coshall, K Tilling, AG Rudd, R McGovern… - Stroke, 2003 - Am Heart Assoc
Background and Purpose— This article examines stroke recurrence and whether the subtype
of the initial stroke influences the risk and subtypes of further strokes. The proportion of …

Incidence and case fatality rates of stroke subtypes in a multiethnic population: the South London Stroke Register

…, J Stewart, E Lawrence, C Hajat, T Hillen - Journal of Neurology …, 2002 - jnnp.bmj.com
T Hillen1 … Broderick J, Brott T, Kothari R, et al. The greater Cincinnati/northern Kentucky
stroke study: preliminary first-ever and total incidence rates of stroke among blacks. Stroke1998;…