Models of dispersal in biological systems

Journal of Mathematical Biology

Volumn 26, Issue 3, 1988, Pages 263-298

  Othmer, H G ^a   Dunbar, S R ^b   Alt, W ^c  

^a UNIVERSITY OF UTAH   (United States)

^b UNIVERSITY OF NEBRASKA LINCOLN   (United States)

^c UNIVERSITY OF BONN   (Germany)

Author keywords

Cell movement; Dispersal; Random walks; Stochastic processes

Indexed keywords

ARTICLE; BIOLOGICAL MODEL; CELL MOTION; MATHEMATICS; STATISTICS;

CELL MOVEMENT; MATHEMATICS; MODELS, BIOLOGICAL; STOCHASTIC PROCESSES; SUPPORT, NON-U.S. GOV'T; SUPPORT, U.S. GOV'T, NON-P.H.S.; SUPPORT, U.S. GOV'T, P.H.S.;

EID: 0023746235     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/BF00277392     Document Type: Article

References (50)

1. Biased random walk models for chemotaxis and related diffusion approximations
2. Chemotaxis of gametes: A diffusion approximation IMA
3. The role of diffusion in mathematical population biology: Skellam revisited
4. How bacteria swim
5. Chemotaxis in Escherichia coli analysed by three dimensional tracking
6. A Markov chain model for human granulocyte movement
7. Stochastic problems in physics and astronomy
8. On a nonlinear hyperbolic equation describing transmission lines, cell movement and branching random walks
9. Characterizing a kinesis response: time averaged measures of cell speed and directional persistence
10. Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen
11. Die Brownsche Bewegung bei Berücksichtigung einer Persistenz der Bewegungsrichtung
12. The locomotion of mouse fibroblasts in tissue culture
13. On diffusion by discontinuous movements, and on the telegraph equation
14. Chemotaxis in Spirocheta aurantia
15. Analysis of cell movement
16. Amoeboid movement as a correlated walk
17. Trajectories of human granulocytes
18. Spatial stochastic models and computer simulation applied to the study of tree root systems
19. Movement patterns and egg distribution in cabbage butterflies
20. A stochastic model related to the telegrapher's equation
21. Local movement in herbivorous insects: applying a passive diffusion model to markrecapture field experiments
22. Analyzing insect movement as a correlated random walk
23. Orthokinetic and klinokinetic responses of human polymorphonuclear leukocytes
24. Random walk models of movement and their implications
25. Statistical measures of bacterial motility and chemotaxis
26. Chapman-Enskog-Hilbert expansions for a class of solutions of the telegraph equation
27. Stochastic aspects of biological locomotion
28. A descriptive theory of cell migration on surfaces
29. On the significance of finite propagation speeds in multicomponent reacting systems
30. Random walk with persistence and external bias
31. Mathematical models for cellular behavior
32. Spatial distribution of dispersing animals
33. A simulation model of animal movement patterns
34. The formulation and interpretation of diffusionary processes in population biology
35. The food searching behaviour of two European thrushes
36. Stochastic models of leukocyte chemosensory movement