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Notices of the American Mathematical Society

Volumn 57, Issue 7, 2010, Pages 851-857

  Friedman, Avner ^a  

^a OHIO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77954858148     PISSN: 00029920     EISSN: 10889477     Source Type: Journal    
DOI: None     Document Type: Article

References (20)

1. B. D. Aguda and A. Friedman, Models of Cellular Regulation, Oxford University Press, 2008.
2. X. Chen, S. Cui, and A. Friedman, A hyperbolic free boundary problem modeling tumor growth: Asymptotic behavior, Trans. AMS 357 (2005), 4771-4804.
3. X. Chen and A. Friedman, A free boundary problem for an elliptic-hyperbolic system: An application to tumor growth, SIAM J. Math. Anal. 35 (2003), 974-986.
4. G. Craciun, A. Brown, and A. Friedman, A dynamical system model of neurofilament transport in axons, J. Theor. Biology 237 (2005), 316-322.
5. J. Day, A. Friedman, and L. S. Schlesinger, Modeling the immune response rheostat of macrophages in the lung in response to infection, PNAS 106 (2009), 11246-11251.
6. M. Fontelus and A. Friedman, Symmetry-breaking bifurcations of free boundary problems in three dimensions, Asymptotic Analysis 35 (2003), 187-206.
7. A. Friedman and B. Hu, Bifurcation from stability to instability for a free boundary problem arising in a tumor model, Archive Rat. Mech. and Anal. 180 (2006), 293-330.
8. Asymptotic stability for a free boundary roblem arising in tumor model, J. Diff. Eqs. 227 2006), 598-639.
9. Uniform convergence for approximate traveling aves in reaction-hyperbolic systems, Indiana niv. Math. J. 56 (2007), 2133-2158.
10. Uniform convergence for approximate traveling aves in linear reaction-diffusion-hyperbolic ystems, Arch. Rat. Mech. Anal. 186 (2007), 51-274.
11. Bifurcation for a free boundary problem odeling tumor growth by Stokes equation, SIAM. Math. Anal. 39 (2007), 174-194.
12. Bifurcation from stability to instability for free boundary problem modeling tumor growth y Stokes equation, J. Math. Anal. Appl. 327 (2007), 43-664.
13. Stability and instability of Liapunov-Schmidt and Hopf bifurcation for a free boundary roblem arising in a tumor model, Trans. AMS 360 2008), 5291-5342.
14. A. Friedman, C. Y. Kao, and C. W. Shih, Asymptotic hases in cell differentiation model, J. Diff. Eqs. 2009).
15. A. Friedman and F. Reitch, Symmetry-reactive bifurcation f analytic solutions to free boundary roblems: An application to a model of tumor rowth, Trans. AMS 353 (2001), 1587-1634.
16. A. Matzavinos, C. Y. Kao, J. Edward, F. Green. A. Sutradhar, M. Miller, and A. Friedman, Modeling xygen transport in surgical tissue transfer, NAS 106 (2009), 12091-12096.
17. M. C. Reed, S. Venakides, and J. J. Blum, Approximate raveling waves in linear reaction-hyperbolic quations, SIAM J. Appl. Math. 50 (1990), 167-180.
18. S. Roy, G. Gordillo, V. Bergdall, J. Green, C. B. arsh, L. J. Gould, and C. K. Sen, Characterization f a pre-clinical model of chronic ischemic wound,Physiol. Genomics 37 (2009), 211-224.
19. C. Xue, A. Friedman, and C. K. Sen, A mathematicalmodel f ischemic cutaneous wounds, PNAS 106 2009), 16782-16787.
20. A. Yates, R. Callard, and J. Stark, Combining cytokine ignaling with T-bet and GATA-3 regulations n TH1 and TH2 differentiation: A model for cellular ecision making, J. Theor. Biology 231 (2004), 81-196.