Diffusional screening in treelike spaces: An exactly solvable diffusion-reaction model

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 85, Issue 1, 2012, Pages

  Mayo, Michael ^a,c   Gheorghiu, Stefan ^b   Pfeifer, Peter ^a  

^a UNIVERSITY OF MISSOURI   (United States)

^b Center for Complexity Studies   (Romania)

^c U S ARMY ENGINEER RESEARCH AND DEVELOPMENT CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACTIVE SURFACES; ANALYTIC FORMULA; CATALYTIC POISONING; CAYLEY TREES; CYLINDRICAL TUBES; DIFFUSING PARTICLES; DIFFUSION-REACTION; DIFFUSION-REACTION MODEL; MEMBRANE PERMEABILITY; PARTIAL SCREENING; REACTIVE SURFACES; RENORMALIZATION; TOTAL CURRENT;

CATALYST POISONING; CHEMICAL REACTORS; FAULT TOLERANCE; FORESTRY; MAMMALS; REACTION RATES; RESPIRATORY SYSTEM; TREES (MATHEMATICS);

DIFFUSION;

CATALYSTS; CHEMICAL REACTORS; DIFFUSION; FORESTRY; MAMMALS; MATHEMATICS; REACTION KINETICS; TREES;

EID: 84856512589     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.85.011115     Document Type: Article

References (26)

1. A. Bejan, Int. J. Heat Mass Transf. IJHMAK 0017-9310 10.1016/0017- 9310(96)00175-5 40, 799 (1997).
2. C. Hou, S. Gheorghiu, M.-O. Coppens, V. H. Huxley, and P. Pfeifer, in Fractals in Biology and Medicine Volume IV, edited by, G. A. Losa, D. Merlini, T. F. Nonnenmacher, and, E. R. Weibel, (Birkhuser Verlag, Basel, Switzerland, 2005).
3. B. Sapoval, M. Filoche, and E. R. Weibel, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.122352499 99, 10411 (2005).
4. B. Mauroy, M. Filoche, E. Weibel, and B. Sapoval, Nature (London) NATUAS 0028-0836 10.1038/nature02287 427, 633 (2004). (Pubitemid 38248482)
5. G. West, J. Brown, and B. Enquist, Science SCIEAS 0036-8075 10.1126/science.276.5309.122 276, 122 (1997). (Pubitemid 27161259)
6. M. Giona, A. Adrover, W. A. Schwalm, and M. Schwalm, Chem. Eng. Sci. CESCAC 0009-2509 10.1016/0009-2509(96)00309-0 51, 5065 (1996).
7. P. Mougin, M. Pons, and J. Villermaux, Chem. Eng. Sci. CESCAC 0009-2509 10.1016/0009-2509(96)00086-3 51, 2293 (1996).
8. M. Sahimi, Chem. Eng. Sci. CESCAC 0009-2509 10.1016/0009-2509(88)80051-4 43, 2981 (1988).
9. M. Felici, M. Filoche, and B. Sapoval, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.068101 92, 068101 (2004).
10. M. Felici, M. Filoche, C. Straus, T. Similowski, and B. Sapoval, Respir. Physiol. Neurobiol. PRLTAO 1569-9048 10.1016/j.resp.2004.10.012 145, 279 (2005). (Pubitemid 40215659)
11. M. Sheintuch and S. Brandon, Chem. Eng. Sci. CESCAC 0009-2509 10.1016/0009-2509(89)85234-0 44, 69 (1989).
12. D. S. Grebenkov, M. Filoche, B. Sapoval, and M. Felici, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.050602 94, 050602 (2005). (Pubitemid 40620830)
13. E. R. Weibel, The Pathway for Oxygen (Harvard University Press, Cambridge, MA, 1984).
14. E. Weibel, B. Sapoval, and M. Filoche, Resp. Phys. Neurobiol. PRLTAO 1569-9048 10.1016/j.resp.2005.03.005 148, 3 (2005). (Pubitemid 41132747)
15. C. Hou, S. Gheorghiu, V. Huxley, and P. Pfeifer, PLoS Comp. Biol. PRLTAO 1553-734X 10.1371/journal.pcbi.1000902 6, e1000902 (2010).
16. B. Haefeli-Bleuer and E. Weibel, Anat. Rec. ANREAK 0003-276X 10.1002/ar.1092200410 220, 401 (1988).
17. A. Katchalsky, Biophysics and Other Topics: Selected Papers (Academic Press, New York, 1976).
18. B. Sapoval, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.3314 73, 3314 (1994).
19. P. Pfeifer and B. Sapoval, Mater. Res. Soc. Symp. Proc. PRLTAO 1946-4274 10.1557/PROC-366-271 366, 271 (1995).
20. T. Needham, Visual Complex Analysis (Oxford University Press, New York, 1997).
21. M. Mayo, Ph.D. thesis, University of Missouri, 2009.
22. B. Sapoval, J. S. Andrade, and M. Filoche, Chem. Eng. Sci. CESCAC 0009-2509 10.1016/S0009-2509(01)00165-8 56, 5011 (2001). (Pubitemid 32895333)
23. M. Sheintuch, Chem. Eng. Sci. CESCAC 0009-2509 10.1016/S0009-2509(99) 00172-4 55, 615 (2000). (Pubitemid 30073945)
24. S. Gheorghiu and M.-O. Coppens, AIChE J. AICEAC 0001-1541 10.1002/aic.10076 50, 812 (2004). (Pubitemid 38520584)
25. G. Wang, E. Johannessen, C. Klein, S. deLeeuw, and M.-O. Coppens, Chem. Eng. Sci. CESCAC 0009-2509 10.1016/j.ces.2007.01.046 62, 5110 (2007). (Pubitemid 47268387)
26. H. Kitano, Nat. Rev. Genet. CESCAC 1471-0056 10.1038/nrg1471 5, 826 (2004). (Pubitemid 39457498)