Advection-diffusion equations for internal state-mediated random walks

SIAM Journal on Applied Mathematics

Volumn 61, Issue 1, 2000, Pages 43-73

  Grunbaum D ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

Author keywords

Advection diffusion equation; Area restricted search; Biased random walk; Foraging behavior; Kinesis; Taxis

Indexed keywords

APPROXIMATION THEORY; BACTERIA; CELLS; COMPUTATIONAL COMPLEXITY; CONSTRAINT THEORY; ITERATIVE METHODS; MATHEMATICAL MODELS; PROBABILITY DENSITY FUNCTION; PROBABILITY DISTRIBUTIONS; STATISTICAL METHODS;

ADVECTION DIFFUSION EQUATIONS; AREA RESTRICTED SEARCH; BIASED RANDOM WALK; FORAGING BEHAVIOR; KINESIS; TAXIS;

PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0034457203     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036139997332075     Document Type: Article

References (33)

1. Biased random walk models for chemotaxis and related diffusion approximations
2. Bacterial microprocessing
3. Chemotaxis in Escherichia coli analyzed by three-dimensional tracking
4. Individual decisions and the distribution of predators in a patchy environment
5. Individual decisions and the distribution of predators in a patchy environment. ii. The influence of travel costs and the structure of the environment
6. Transport equations and indices for random and biased cell migration based on single cell properties
7. Theoretical studies on animal orientation. ii. Directional displacement in kineses
8. Biased random walk models for chemotaxis and related diffusion approximations
9. Advection-diffusion equations for generalized tactic searching behaviors
10. Using spatially explicit models to characterize foraging performance in heterogeneous landscapes
11. Population-level descriptions for random walk behaviors mediated by internal state dynamics
12. Activity and predation of coccinella septempunctata adults in the field (col., coccinellidae)
13. Swarms of predators exhibit "preytaxis" if individual predators use area-restricted search
14. Model for chemotaxis
15. Dynamic information in uncertain and changing worlds
16. Memory and the efficient use of information
17. Velocity changes, long runs, and reversals in the chromatium minus swimming response
18. Diffusion, cross-diffusion, and their spike-layer steady states
19. Dynamical aspects of animal grouping: Swarms, schools, flocks and herd
20. Mathematical treatment of biological diffusion
21. Natural behavioral polymorphism due to a cgmp-dependent protein kinase of drosophila
22. Models of dispersal in biological systems
23. Random walk with persistence and external bias
24. Transport models for chemotactic cell populations based on individual cell behavior
25. Simulation of simple models of animal behavior with a digital computer
26. Strategies for chemotaxis
27. Spatial segregation of interacting species
28. Sensory adaptation mechanisms in swarm development
29. Glossary of terms concerning oriented movement
30. Stochastic model of leukocyte chemosensory movement
31. A stochastic model for leukocyte random motility and chemotaxis based on receptor binding fluctuations