User profiles for T. Hillen
Thomas HillenProfessor, 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. …
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) …
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
… 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 …
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
… 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, …
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 …
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’ …
Perth, Western Australia, its impact on school, sporting, and social activities, students’ …
Global existence for a parabolic chemotaxis model with prevention of overcrowding
… 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, …
… 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 …
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
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 …
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;…
stroke study: preliminary first-ever and total incidence rates of stroke among blacks. Stroke1998;…