71 citations · 484 across the 27 of their papers we have counts for
5 papers · 1 filter
Oscillations in a maturation model of blood cell production
Ivana Drobnjak, A. C. Fowler, Michael C. Mackey
In this paper we use a continuous model to describe the development of a single cell lineage following the committal of stem cells. Three separate controls are implemented in the m…
Periodic Oscillations of Blood Cell Populations in Chronic Myelogenous Leukemia
Michael C. Mackey, Chunhua Ou, Laurent Pujo-Menjouet +1
We develop some techniques to prove analytically the existence and stability of long period oscillations of stem cell populations in the case of periodic chronic myelogenous leukem…
Mathematics, Biology, and Physics: Interactions and Interdependence
Michael C. Mackey, Moises Santillan
This paper traces the seminal roles that physicists and mathematicians have played in the conceptual development of the biological sciences in the past, and especially in the 19th…
Deterministic Brownian Motion: The Effects of Perturbing a Dynamical System by a Chaotic Semi-Dynamical System
Michael C. Mackey, Marta Tyran-Kaminska
Here we review and extend central limit theorems for highly chaotic but deterministic semi-dynamical discrete time systems. We then apply these results show how Brownian motion-lik…
Could dark energy be measured in the lab?
Christian Beck, Michael C. Mackey
The experimentally measured spectral density of current noise in Josephson junctions provides direct evidence for the existence of zero-point fluctuations. Assuming that the total…