Krogh model

To simulate the histological complexity of capillary-tissue arrangements in a better way and to develop an alternative concept to the Krogh model, a three-dimensional network system is suggested here, providing for differences in directions and flow velocities within the branches of the network (Figure 1). 

Derive the Krogh model for oxygen transport in skeletal muscle with Michaelis-Menten chemical reaction kinetics. 

Example 1.26 Oxygen Transport in Skeletal Muscle Krogh Model... 

Equation (1-120) can be used to predict whether under a given set of parameters, there are hypoxic regions—where the partial pressure of oxygen is less than 1 torr—in the tissue cylinder. Table 1.3 summarizes parameter values used in the Krogh model. 

Having built a hidden Markov model for a particular family of proteins, it can then b< used to search a database. A score is computed for each sequence in the database anc those sequences that score significantly more than other sequences of a similar length ar( identified. This was demonstrated for two key families of proteins, globins and kinases ii the original paper [Krogh et al. 1994]. For the kinases, 296 sequences with a Z score abov<... 

Krogh A, M Brown, S Mian, K Sjolander and D Haussler 1994. Hidden Markov Models in Computational Biology. Applications to FTotein Modeling. Journal of Molecular Biology 235 1501-1531. 

A Krogh, M Brown, IS Mian, K Sjolander, D Haussler. Hidden Markov models m computational biology Applications to protein modeling. I Mol Biol 235 1501-1531, 1994. 

P. Hofmann, H. Heill, unpublished results. We have become aware of apparently similar EH model calculations mentioned in the abstract of a poster, which was presented at an ACS National Meeting (New York, April 1986) by V. Uma, J. A. Davies, K. Krogh-Jespersen. To our knowledge, no publication of these results has appeared. 

Krogh, A., Larsson, B von Heijne, G., and Sonnhammer, E. L. (2001) Predicting transmembrane protein topology with a hidden Markov model application to complete genomes.. /. Mol. Biol. 305, 567-580. 

Larsen T, Luxhoi J, Magid J, Jensen LS, Krogh PH (2007) Properties of anaerobically digested and composted municipal solid waste assessed by linking soil mesofauna dynamics and nitrogen modeling. Biol Fertil Soils 44 59-68... 

Brown, M., Hughey, R., Krogh, A., Mian, I. S., Sjolander, K., and Haussler, D. (1993). Using Dirichlet mixture priors to derive hidden Markov models for protein families. Ismb 1, 47-55. 

Durbin, R., Eddy, S., Krogh, A., and Mitchison, G. (1998). Biological Sequence Analysis Probabilistic Models of Proteins and Nucleic Acids. Cambridge University Press, Cambridge, Massachusetts. 

Nielsen, H., and Krogh, A. (1998). Prediction of signal peptides and signal anchors by a hidden Markov model. InteU. Sysl. Mol. Biol. 6, 122-130. 

Krogh A, Brown M, Mian IS, Sjolander K, Haussler D (1994) Hidden Markov models in computational biology. Applications to protein modeling. J Mol Biol 235 1501-1531... 

Thus, precursors of (RPCP)Ir and Rh(PR3)2Cl gave excellent catalysts, in contrast with the converse pair, (RPCP)Rh and Ir(PR3)2Cl. Calculations (DFT) by Krogh-Jespersen[21] indicated that this surprising relationship was related to the respective M-H bond strengths of the fragments. Addition of H-H to the model... 

P. Soderhjelm, J.W. Krogh, G. Karlstrom, U. Ryde, R. Lindh, Accuracy of distributed multipoles and polarizabilities Comparison between the loprop and mpprop models, J. Comput. Chem. 28 (2007) 1083. 

Oxygen transport to tissue and the Krogh-Erlang model... 

Figure 8.2 Cylindrical geometry of the Krogh-Erlang model of blood-tissue exchange. The upper panel, from Middleman [141], illustrates the assumed parallel arrangement of capillaries with each vessel independently supplying a surrounding cylinder of tissue. A diagram of the model geometry is provided in the lower panel. Figure in upper panel is reprinted with the permission of John Wiley Sons, Inc.

Under the simplifying assumptions of the Krogh-Erlang model, the steady state oxygen distribution in the tissue at any position z is governed by the steady state diffusion equation in radial coordinates... 

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