Reply to Claudio Cobelli and Gianna Toffolo,identifiability from parameter bounds. Structural and numerical aspects. Math. Biosci. 71:237–243 (1984)

We present an analysis of receptor mediated endocytosis which includes the following elements: ligand binding to receptors, interaction of the ligand-receptor complex with coated pits, internalization of coated pit contents, recycling of receptors, and degradation of ligand. The model accounts quantitatively for epidermal growth factor binding and clustering in coated pits at 4°C, for its internalization and degradation at 37°C, and for EGF receptor down-regulation. Steady state analysis of the model indicates that the slope and intercept of a Scatchard plot are functions of the kinetic parameters of the endocytic loop and do not necessarily reflect the affinity and number of receptors in metabolically active cells. Moreover, the model predicts that for homogeneous receptors, a Scatchard plot can be either linear or nonlinear, depending on the concentration of proteins in coated pits which interact with ligand-receptor complexes. A slight generalization of the model in which phorbol ester-receptor complexes compete with EGF-receptor complexes for the same coated pit proteins provides a quantitative explanation for the loss of the high affinity portion of the EGF Scatchard plot subsequent to preincubation with phorbol esters. This explanation leads to the prediction of a local homology between a portion of the phorbol ester receptor sequence and a portion of the EGF receptor sequence.     

Bioactive carbohydrates—In chemistry,biochemistry, and biology: By J. F. Kennedy and C. A. White,Halsted Press,New York, 1983, 331 pp. $79.95

A method for analysis of plasma adenosine which combines the principles of radioisotope dilution and enzymatic catalysis is presented. Plasma from venous heparinized blood containing the adenosine deaminase inhibitor 2′-deoxycoformycin is mixed with a small amount of [³H]adenosine and extracted with perchloric acid. Using highly purified enzyme and [γ-³²P]GTP as the phosphate donor, the neutralized extract then serves as substrate for adenosine kinase, and the AMP product is purified by high-performance liquid chromatography. Adenosine concentrations in plasma are linearly proportional to ${}^{32}\text{P}{}^3\text{H}$ ratios in the enzymatically synthesized AMP and are calculated from a standard curve. The advantages of the method are: ease of sample preparation; sensitivity of 20 nm in as little as 0.3 ml plasma; 20 samples per day can be analyzed by a single operator. Care must be used when obtaining plasma since cellular contamination will affect results. Using this assay, human plasma adenosine levels are 0.121 ± 0.054 μm for males and 0.101 ± 0.067 μm for females.     

A Review of: “Biological Recognition and Assembly,D. S. Eisenberg,J. A. Lake and C. F. Fox,Eds. Alan R. Liss,New York, 1980; hardbound, 355 pages, $52.00”

Two MMP-7-ase isoenzymes were purified 100-fold from rat muscle extract to apparent homogeneity, with an overall yield of 10%, using homogenization, ultracentrifugation, high-performance aqueous size-exclusion and high-performance anion exchange chromatography methods. When using a TSK G-2000SW column, the separation resulted in a 6-fold purification and 30% recovery of isoenzymes B and C. This concentrated enzyme extract was then passed through a TSK-DEAE-2SW column, using salt gradient at pH 7.5, with an additional 25-fold purification and 90% recovery of the isoenzymes. Two symmetrical enzyme peaks, representing isoenzymes B and C, were detected when performing purity tests of the active enzymes on the anion exchanger and reversed-phase HFLC columns. The procedures involved are extraction, ultracentri-fugation, chromatographies and enzyme assays and require less than five hours.