A theoretical analysis of filament length fluctuations in actin and other polymers

Journal of Mathematical Biology

Volumn 63, Issue 6, 2011, Pages 1001-1049

  Hu, Jifeng ^a   Othmer, Hans G ^a  

^a UNIVERSITY OF MINNESOTA   (United States)

Author keywords

Actin dynamics; Random walks on combs; Stochastic processes

Indexed keywords

ACTIN; ADENOSINE DIPHOSPHATE; ADENOSINE TRIPHOSPHATE; BIOPOLYMER;

ACTIN FILAMENT; ALGORITHM; ARTICLE; BIOLOGICAL MODEL; COMPUTER SIMULATION; DIFFUSION; HYDROLYSIS; KINETICS; METABOLISM; STATISTICS;

ACTIN CYTOSKELETON; ACTINS; ADENOSINE DIPHOSPHATE; ADENOSINE TRIPHOSPHATE; ALGORITHMS; BIOPOLYMERS; COMPUTER SIMULATION; DIFFUSION; HYDROLYSIS; KINETICS; MODELS, BIOLOGICAL; STOCHASTIC PROCESSES;

EID: 81255142201     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/s00285-010-0400-6     Document Type: Article

References (37)

1. Abramowitz M, Stegun I (1965) Handbook of mathematical functions.
2. Alexander M, Oster G (1996) Cell motility driven by actin polymerization. Biophys J 71(6): 3030-3045.
3. Bugyi B, Carlier MF (2010) Control of actin filament treadmilling in cell motility. Annu Rev Biophys 39: 449-470.
4. Carlier MF, Pantaloni D, Korn ED (1986) The effects of Mg2+ at the high-affinity and low-affinity sites on the polymerization of actin and associated ATP hydrolysis. J Biol Chem 261: 10785-10792.
5. Carlsson AE (2008) Model of reduction of actin polymerization forces by ATP hydrolysis. Phys Biol 5(3): 1-9.
6. De La Cruz EM (2009) How cofilin severs an actin filament. Biophys Rev 1: 51-59.
7. Dickinson RB, Caro L, Purich DL (2004) Force generation by cytoskeletal filament end-tracking proteins. Biophys J 87: 2838-2854.
8. Doorn van EA (2001) Representations for the rate of convergence of birth-death processes. Memorandum No. 1584, University of Twente.
9. Fass J, Pak C, Bamburg J, Mogilner A (2008) Stochastic simulation of actin dynamics reveals the role of annealing and fragmentation. J Theor Biol 252(1): 173-183.
10. Footer MJ, Kerssemakers JWJ, Theriot JA, Dogterom M (2007) Direct measurement of force generation by actin filament polymerization using an optical trap. PNAS 104(7): 2181-2186.
11. Fujiwara I, Takahashi S, Tadakuma H, Funatsu T, Ishiwata S (2002) Microscopic analysis of polymerization dynamics with individual actin filaments. Nat Cell Biol 4(9): 666-673.
12. Fujiwara I, Vavylonis D, Pollard TD (2007) Polymerization kinetics of adp- and adp-pi-actin determined by fluorescence microscopy. PNAS 104(21): 8827-8832.
13. Goel NS, Richter-Dyn N (1974) Stochastic models in biology. Academic, New York.
14. Hill TL (1986) Theoretical study of a model for the ATP cap at the end of an actin filament. Biophys J 49(5): 981-986.
15. Hotulainen P, Hoogenraad CC (2010) Actin in dendritic spines: connecting dynamics to function. J Cell Biol 189(4): 619-629.
16. Hu J, Matzavinos A, Othmer HG (2007) A theoretical approach to actin filement dynamics. J Stat Phys 128(1-2): 111-138.
17. Kuhn JR, Pollard TD (2005) Real-time measurements of actin filament polymerization by total internal reflection fluorescence microscopy. Biophys J 88(2): 1387-1402.
18. Marcy Y, Prost J, Carlier MF, Sykes C (2004) Forces generated during actin-based propulsion: a direct measurement by micromanipulation. PNAS 101(16): 5992-5997.
19. Matzavinos A, Othmer HG (2007) A stochastic analysis of actin polymerization in the presence of twinfilin and gelsolin. J Theor Biol 249(4): 723-736.
20. McGrath JL, Osborn EA, Tardy YS, Dewey CF Jr, Hartwig JH (2000) Regulation of the actin cycle in vivo by actin filament severing. PNAS 97(12): 6532-6537.
21. Mitchison T, Kirschner M (1984) Dynamic instability of microtubule growth. Nature 312: 237-242.
22. Oosawa F, Asakura S (1975) Thermodynamics of the Polymerization of Protein. Academic Press.
23. Othmer HG, Scriven LE (1971) Instability and dynamic pattern in cellular networks. J Theor Biol 32: 507-537.
24. Pollard TD, Borisy GG (2003) Cellular motility driven by assembly and disassembly of actin filaments. Cell 112(4): 453-465.
25. Pollard TD (2007) Regulation of actin filament assembly by arp2/3 complex and formins. Annu Rev Biophys Biomol Struct 36: 451-477.
26. Ponti A, Machacek M, Gupton SL, Waterman-Storer CM, Danuser G (2004) Two distinct actin networks drive the protrusion of migrating cells. Science 305: 1782-1786.
27. Popp D, Yamamoto A, Iwasa M, Narita A, Maeda K, Maéda Y (2007) Concerning the dynamic instability of actin homolog ParM. Biochem Biophys Res Commun 353(1): 109-114.
28. Ranjith P, Lacoste D, Mallick K, Joanny JF (2009) Nonequilibrium self-assembly of a filament coupled to ATP/GTP hydrolysis. Biophys J 96(6): 2146-2159.
29. Ranjith P, Mallick K, Joanny JF, Lacoste D (2010) Role of ATP-hydrolysis in the dynamics of a single actin filament. Biophys J 98(8): 1418-1427.
30. Schaus TE, Borisy GG (2008) Performance of a population of independent filaments in lamellipodial protrusion. Biophys J 95(3): 1393-1411.
31. Stukalin EB, Kolomeisky AB (2006) ATP hydrolysis stimulates large length fluctuations in single actin filaments. Biophys J 90(8): 2673-2685.
32. Theriot JA, Mitchison TJ (1991) Actin microfilament dynamics in locomoting cells. Nature 352: 126-131.
33. Tolic-Nørrelykke IM (2010) Force and length regulation in the microtubule cytoskeleton: lessons from fission yeast. Curr Opin Cell Biol 22(1): 21-28.
34. VanBuren V, Cassimeris L, Odde DJ (2005) Mechanochemical model of microtubule structure and self-assembly kinetics. Biophys J 89(5): 2911-2926.
35. Vavylonis D, Yang Q, O'Shaughnessy B (2005) Actin polymerization kinetics, cap structure, and fluctuations. PNAS 102(24): 8543-8548.
36. Weiss GH (1976) The two-state random walk. J Stat Phys 15(2): 157-165.
37. Zigmond SH (1993) Recent quantitative studies of actin filament turnover during locomotion. Cell Motil Cytoskeleton 25: 309-316.