Probabilistic lattice models of collective motion and aggregation: from individual to collective dynamics

Andreas Deutsch, Anna T. Lawniczak

Type: Article

Publication Date: 1999-03-01

Citations: 24

DOI: https://doi.org/10.1016/s0025-5564(98)10069-x

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Mathematical Biosciences - View
PubMed - View

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Works That Cite This (8)

Action	Title	Year	Authors
+	Cellular Automaton Modeling of Tumor Invasion	2020	Haralampos Hatzikirou Georg Breier Andreas Deutsch
+	Discussion and Outlook	2017	Andreas Deutsch Sabine Dormann
+	Using cell potential energy to model the dynamics of adhesive biological cells	2005	Stephen W. Turner
+	Cellular Automaton Modeling of Tumor Invasion	2019	Haralampos Hatzikirou Georg Breier Andreas Deutsch
+ PDF Chat	On Cellular Automaton Approaches to Modeling Biological Cells	2003	Mark Alber Maria A. Kiskowski James A. Glazier Yi Jiang
+	On aggregation in CA models in biology	2001	Mark Alber Audi Kiskowski
+	From a discrete to a continuous model of biological cell movement	2004	Stephen W. Turner Jonathan A. Sherratt Kevin J. Painter Nicholas J. Savill
+ PDF Chat	Modeling tumor cell migration: From microscopic to macroscopic models	2009	Christophe Deroulers Marine Aubert Mathilde Badoual B. Grammaticos

Works Cited by This (10)

Action	Title	Year	Authors
+	Modelling Social Animal Aggregations	1994	Daniel Grünbaum Akira Ōkubo
+	Models for Spatio-angular Self-organization in Cell Biology	1997	Alex Mogilner Andreas Deutsch J. Gordon Cook
+	Models of dispersal in biological systems	1988	Hans G. Othmer Steven R. Dunbar Wolfgang Alt
+	Analysis of a pattern-forming lattice-gas automaton: Mean-field theory and beyond	1996	Harmen J. Bussemaker
+	TOWARDS ANALYZING COMPLEX SWARMING PATTERNS IN BIOLOGICAL SYSTEMS WITH THE HELP OF LATTICE-GAS CELLULAR AUTOMATA	1995	Andreas Deutsch
+	Models for contact-mediated pattern formation: cells that form parallel arrays	1990	Leah Edelstein‐Keshet Bard Ermentrout
+	ORIENTATION-INDUCED PATTERN FORMATION: SWARM DYNAMICS IN A LATTICE-GAS AUTOMATON MODEL	1996	Andreas Deutsch
+	A One Dimensional Model for the Swarming Behavior of Myxobacteria	1990	Beate Pfistner
+ PDF Chat	Mean-Field Analysis of a Dynamical Phase Transition in a Cellular Automaton Model for Collective Motion	1997	Harmen J. Bussemaker Andreas Deutsch Edith Geigant
+ PDF Chat	Lattice gas automata for reactive systems	1996	Jean Pierre Boon David Dab Raymond Kapral Anna T. Ławniczak