Interactions between the immune system and cancer: a brief review of non-spatial mathematical models

R Eftimie, JL Bramson, DJD Earn - Bulletin of mathematical biology, 2011 - Springer
We briefly review spatially homogeneous mechanistic mathematical models describing the
interactions between a malignant tumor and the immune system. We begin with the simplest …

Stochastic processes: Time evolution, symmetries and linear response

P Hänggi, H Thomas - Physics Reports, 1982 - Elsevier
We give a systematic survey of the theory of stochastic processes in systems described by a
finite number of variables, with special emphasis on time evolution behaviour, symmetry …

[HTML][HTML] A primer on stochastic epidemic models: Formulation, numerical simulation, and analysis

LJS Allen - Infectious Disease Modelling, 2017 - Elsevier
Some mathematical methods for formulation and numerical simulation of stochastic
epidemic models are presented. Specifically, models are formulated for continuous-time …

[BUCH][B] Handbook of monte carlo methods

DP Kroese, T Taimre, ZI Botev - 2013 - books.google.com
A comprehensive overview of Monte Carlo simulation that explores the latest topics,
techniques, and real-world applications More and more of today's numerical problems found …

[BUCH][B] Mathematical models in population biology and epidemiology

F Brauer, C Castillo-Chavez, C Castillo-Chavez - 2012 - Springer
Up to now in our study of continuous population models we have been assuming that x (t),
the growth rate of population size at time t, depends only on x (t), the population size at the …

The power of two choices in randomized load balancing

M Mitzenmacher - IEEE Transactions on Parallel and …, 2001 - ieeexplore.ieee.org
We consider the following natural model: customers arrive as a Poisson stream of rate/spl
lambda/n,/spl lambda/< 1, at a collection of n servers. Each customer chooses some …

Nonequilibrium phase transitions in lattice models

J Marro, R Dickman - Nonequilibrium Phase Transitions in …, 2005 - ui.adsabs.harvard.edu
Nonequilibrium Phase Transitions in Lattice Models - NASA/ADS Now on home page ads icon
ads Enable full ADS view NASA/ADS Nonequilibrium Phase Transitions in Lattice Models …

[BUCH][B] Mathematik der Selbstorganisation

G Jetschke - 1989 - Springer
Das Forschen nach den Ul'sachen del'spontanen Strukturbildung in del'unbelebten und
del'belebten Natur ist gegenwartig ein faszinierendes und breit betriebenes Anliegen …

[BUCH][B] Modeling with Itô stochastic differential equations

E Allen - 2007 - books.google.com
Dynamical systems with random influences occur throughout the physical, biological, and
social sciences. By carefully studying a randomly varying system over a small time interval, a …

Strong approximation theorems for density dependent Markov chains

TG Kurtz - Stochastic Processes and their Applications, 1978 - Elsevier
A variety of continuous parameter Markov chains arising in applied probability (eg epidemic
and chemical reaction models) can be obtained as solutions of equations of the form XN (t) …