A stochastic model for adhesion-mediated cell random motility and haptotaxis

Journal of Mathematical Biology

Volumn 31, Issue 6, 1993, Pages 563-600

  Dickinson, Richard B ^a   Tranquillo, Robert T ^a  

^a UNIVERSITY OF MINNESOTA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

INTEGRIN;

ANIMAL; ARTICLE; BIOLOGICAL MODEL; CELL ADHESION; CELL MOTION; HUMAN; MATHEMATICS; PHYSIOLOGY; STATISTICS;

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

EID: 0027342528     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/BF00161199     Document Type: Article

References (74)

1. The interactions of plasma fibronectin with fibroblastic cells in suspension
2. Biased random walk models for chemotaxis and related diffusion approximations
3. Modelling of motility in biological systems
4. Correlation analysis of two-dimensional locomotion paths
5. Signal transductions for chemotaxis and haptotaxis by matrix molecules in tumor cells
6. Models for the specific adhesion of cells to cells
7. Models of cell adhesion involving specific binding
8. Cell adhesion. Competition between nonspecific repulsion and specific bonding
9. Covalent attachment of an Arg-Gly-Asp sequence peptide to derivatizable polyacrylamide surfaces: support of fibroblast adhesion and long-term growth
10. Tumor cell haptotaxis on covalently immobilized linear and exponential gradients of a cell adhesion peptide
11. Endocytosis: relation to capping and cell locomotion
12. Fibroblasts on the move
13. Endocytosis and recycling of the fibronectin receptor in CHO cells
14. Integrin, a transmembrane glycoprotein complex mediating cell-substratum adhesion
15. Principles of cell motility: the direction of cell movement and cancer invasion
16. Mechanism of retraction of the trailing edge during fibroblast movement
17. The reaction-limited kinetics of membrane-to-surface adhesion and detachment
18. Motion of polymorphonuclear leukocytes: theory of receptor redistribution and the frictional force on a moving cell
19. A mathematical model for the effects of adhesion and mechanics on cell migration speed
20. Fibronectin receptor exhibits high lateral mobility in embryonic locomoting cells but is immobile in focal contacts and fibrillar streaks in stationary cells
21. Characterizing a kinesis response: time averaged measures of cell speed and directional persistence
22. A unified approach to analysing cell motility
23. Control of directional migration of avian and murine neural crest
24. Mechanics of fibroblast locomotion: quantitative analysis of forces and motions at the leading lamellas of fibroblasts
25. Die Brownshe Bewegung bei Berücksichtigung einer Persistenze der Bewegungsrichtung. Mit Anwendungen auf die Bewegung lebender Infusorien
26. The locomotion of mouse fibroblasts in tissue culture
27. Introduction to Stochastic Differential Equations
28. Handbook of Stochastic Methods
29. Two distinct cell-binding domains in laminin can independently promote nonneuronal cell adhesion and spreading
30. The E8 subfragment of laminin promotes locomotion of myoblasts over extracellular matrix
31. Cell movement and symmetry of the cellular environment
32. Analysis of cell movement
33. The projection approach to the Fokker-Planck equation: applications to phenomenological stochastic equations with colored noise
34. Amoeboid movement as a correlated walk
35. A dynamical model for receptor-mediated cell adhesion to surfaces
36. Behavior of cultured cells on substrata of variable adhesiveness
37. Silicone rubber substrata: a new wrinkle in the study of cell locomotion
38. Analysis of lateral redistribution of a plasma membrane glycoprotein-monoclonal antibody complex
39. Lateral diffusion of proteins in membranes
40. Model for chemotaxis
41. Chemotaxis is no special case of haptotaxis
42. Crawling-like movements, adhesion to solid substrata and chemokinesis of neutrophil granulocytes
43. Interactions of leukocytes and endothelium
44. Substratum adhesion and the movement of neutrophil leucocytes
45. A simple model for the effects of receptor-mediated cell-substratum adhesion on cell migration
46. Chemotaxis: analysis for quantitative studies
47. The role of G-protein in matrix-mediated motility of highly and poorly invasive melanoma cells
48. Receptor/Ligand Sorting Along the Endocytic Pathway
49. The role of cell adhesion proteins—laminin and fibronectin—in the movement of malignant and metastatic cells
50. Laminin and fibronectin promote the haptotactic migration of B16 mouse melanoma cells
51. Migration by haptotaxis of a Schwarm cell tumor line to the basement membrane glycoprotein laminin
52. The Molecular and Cellular Biology of Wound Repair
53. Models of dispersal in biological systems
54. Transport models for chemotactic cell populations based on individual cell behavior
55. Neurite extension by peripheral and central nervous system neurons in response to substratum-bound fibronectin and laminin
56. Strategies for chemotaxis
57. Internalization of the fibronectin receptor is a constitutive process
58. Thrombospondin-induced tumor cell migration: haptotaxis and chemotaxis are mediated by different molecular domains
59. Consequences of chemosensory phenomena for leukocyte chemotactic orientation
60. Stochastic model of leukocyte chemosensory movement
61. Measurement of the chemotaxis coefficient for human neutrophils in the under-agarose migration assay
62. Models of chemical gradient sensing by cells
63. Theories and models of gradient perception
64. Glossary of terms concerning oriented movement
65. Chemokinetic accumulation of human neutrophils on immune complex-coated substrata: analysis at a boundary
66. Cell surface interactions with extracellular materials