Dimensional analysis in mathematical biology I. General discussion

Dimensional analysis is discussed from the viewpoint of its basic group properties and shown to be an algebraic Abelian group that is useful for analysis of physical measurements. The application of the method to various types of equations and the formulation of previously unclassified dimensions are discussed. Functional dimensional analysis is applied to the problems of cell size and biomass proliferation; future applications are also noted. A number of dimensionless terms have been formulated for cellular physiochemical phenomena. They apparently represent the first systematic study of biological dimensionless numbers recorded in the literature. A dimensionless proliferation law is suggested. A brief analysis of the physical dimensionality associated with information measures is carried out. Entropy and “information” are shown to be completely different in their dimensional meaning; other informational measures of possible interest in biology are proposed. The dimensional coding and computor analysis of biomathematical equations is suggested.     

Buchbesprechungen

Ohne Zusammenfassung     

GTP gamma S stimulation of endosome fusion suggests a role for a GTP-binding protein in the priming of vesicles before fusion.

Guanosine 5'-(3-O-thio)triphosphate (GTP gamma S), a non-hydrolyzable analogue of GTP, inhibits in vitro fusion among early endocytic vesicles in the presence of high concentrations of cytosol. In this report we show that fusion is remarkably stimulated by GTP gamma S under conditions where cytosolic components are the limiting factors for the process. The amount of cytosolic factors required for maximal fusion activity is several-fold decreased by the presence of GTP gamma S. Moreover, preincubation of vesicles in the presence of cytosol and GTP gamma S allows fusion to proceed even in the absence of cytosol. Our results indicate that a GTP-binding protein facilitates the binding of cytosolic factor(s) required for endosome fusion to the endosomal membrane and stabilizes a dilution-resistant intermediate of the fusion process.     

Reconstitution of endosomal proteolysis in a cell-free system. Transfer of immune complexes internalized via Fc receptors to an endosomal proteolytic compartment

The presence of acid proteases in the endosomal compartment of macrophages has been recently demonstrated (Diment, S., Leech, M. S., and Stahl, P. D. (1988) J. Biol. Chem. 263, 6901-6907). This proteolytic activity allows the early degradation of ligands internalized by receptor-mediated endocytosis. To study the early steps that initiate the proteolytic processing of ligands, immune complexes formed with anti-dinitrophenol monoclonal IgG and radiolabeled dinitrophenol-derivatized bovine serum albumin were bound at 4 degrees C to Fc receptors of J774 macrophages. Cells were allowed to internalize immune complexes bound to the plasma membrane for different periods of time at 37 degrees C. Vesicle preparations generated from these cells were incubated in vitro at acidic pH to allow the hydrolysis of ligands located in protease-positive compartments. Ligand hydrolysis was observed after about 5 min of internalization, suggesting that at earlier times immune complexes were located in protease-free vesicles. Upon incubation of cell lysates under conditions that support in vitro endosome-endosome fusion, early protease-free endosomes containing ligand acquire proteolytic activity. Reconstitution of fusion-dependent proteolysis required energy, ions, membrane-associated factors, and cytosol. Cytosol was inactivated by incubation with N-ethylmaleimide. The proteolytic compartment formed upon in vitro incubation colocalized with endosomes in the light region of a Percoll gradient. Reconstitution was also achieved using an endosomal preparation separated from lysosomes in a Percoll gradient. Our results indicate that a fusion step between newly formed endocytic vesicles and a light density, protease-positive compartment triggers the proteolytic processing of ligands internalized by receptor-mediated endocytosis.     

Control of Mn status and infection rate by genotype of both host and pathogen in the wheat take-all interaction

Take-all is a world-wide root-rotting disease of cereals. The causal organism of take-all of wheat is the soil-borne fungus Gaeumannomyces graminis var tritici (Ggt). No resistance to take-all, worthy of inclusion in a plant breeding programme, has been discovered in wheat but the severity of take-all is increased in host plants whose tissues are deficient for manganese (Mn). Take-all of wheat will be decreased by all techniques which lift Mn concentrations in shoots and roots of Mn-deficient hosts to adequate levels. Wheat seedlings were grown in a Mn-deficient calcareous sand in small pots and inoculated with four field isolates of Ggt. Infection by three virulent isolates was increased under conditions which were Mn deficient for the wheat host but infection by a weakly virulent isolate, already low, was further decreased. Only the three virulent isolates caused visible oxidation of Mn in vitro. The sensitivity of Ggt isolates to manganous ions in vitro did not explain the extent of infection they caused on wheat hosts. In a similar experiment four Australian wheat genotypes were grown in the same Mn-deficient calcareous sand and inoculated with one virulent isolate of Ggt. Two genotypes were inefficient at taking up manganese and were very susceptible to take-all, one was very efficient at taking up manganese and was resistant to take-all, and the fourth genotype was intermediate for both characters. All genotypes were equally resistant under Mn-adequate conditions.