Mathematical Model of Leukemic-Cell Circulation in the Mouse

L1210 leukemic cells injected in vivo are eliminated from the blood and disintegrated in organs such as the lungs and liver. We present a compartmental model which reproduces one type of in vivo experiment, based on the so-called perfusion curves. Although the data are not complete and some are only approximated, modeling gives a consistent picture of the process.     

ULTRASTRUCTURE, STEROIDOGENIC POTENTIAL, AND ENERGY METABOLISM OF THE SNELL ADRENOCORTICAL CARCINOMA 494 : A Comparison with Normal Adrenocortical Tissue

Electron microscope studies were carried out with the adrenocortical carcinoma 494 and normal adrenal cortex tissue. The mitochondria of the tumor cells showed marked differences when compared with mitochondria from fasciculata cells of the normal adrenal cortex. These differences were primarily related to mitochondrial number and crista structure. Corticosterone production in isolated tumor cells was extremely low and neither ACTH nor dibutyryl cyclic AMP had any stimulatory effect. Normal adrenal cells showed at least a tenfold increase under identical conditions. In the presence of corticosteroid precursors the amount of corticosterone produced by the tumor cells was much less than that produced by normal cells. The results indicate a reduced capacity for 11β-hydroxylation in the tumor mitochondria and a possible reduced capacity for biosynthetic steps before the 11β-hydroxylation reaction. Glycolysis in isolated tumor cells was also lower than in normal cells. Isolated tumor mitochondria oxidized succinate normally with a good degree of coupling with phosphorylation. However, unlike normal adrenal mitochondria, the tumor mitochondria showed little or no oxygen uptake with other Krebs cycle substrates. These data suggest that the tumor mitochondria may be lacking in the flavoprotein dehydrogenases responsible for the oxidation of NADH and NADPH, although other components of the respiratory chain may be intact.     

Prediction of enzyme function based on 3D templates of evolutionarily important amino acids

Background  

Structural genomics projects such as the Protein Structure Initiative (PSI) yield many new structures, but often these have no known molecular functions. One approach to recover this information is to use 3D templates – structure-function motifs that consist of a few functionally critical amino acids and may suggest functional similarity when geometrically matched to other structures. Since experimentally determined functional sites are not common enough to define 3D templates on a large scale, this work tests a computational strategy to select relevant residues for 3D templates.     

Detection of bladder carcinoma in females by flow cytometry and cytology

The sensitivity of bladder wash flow cytometry (BWFCM), voided urinary cytology (VUC), and cytology of catheterized urine obtained at the time of cystoscopy (CUC) were reviewed on all women evaluated for bladder cancer at Memorial Sloan-Kettering Cancer Center between June 1985 and December 1986. This comprised sixty-four episodes of pathologically proven bladder cancer in 48 women. Considering positive and suspicious results jointly the sensitivities of BWFCM, CUC and 3 VUC were 75%, 64% and 56%, respectively. If only positive results were considered (i.e., suspicious results considered as negative), the sensitivities of BWFCM, CUC and 3 VUC were 64%, 31% and 32%, respectively. The sensitivities of these tests are less than for a predominantly male population, presumably related to the presence of squamous epithelium and greater frequency of pyuria. However, bladder wash flow cytometry and conventional cytology are still a very valuable addition to cystoscopic examination, and the combination of BWFCM with conventional cytology is more sensitive than either procedure alone.     

Stathmokinetic Analysis of Human Epidermal Cells in vitro

Proliferation kinetics of cultured human epidermal cells is characterized in quantitative terms. Three distinct subpopulations of keratinocytes, two of which are cycling have been discriminated by two parameter DNA/RNA flow cytometry. Based on mathematical modelling, the cell cycle parameters of the cycling subpopulations have been assessed from stathmokinetic data collected at different time points after initiation of cultures (7–15 days). the first subpopulation is composed of low-RNA cells which resemble basal keratinocytes of epidermis and which show some characteristics of stem cells; these cells have a mean generation time of approximately 100 hr. the second subpopulation consists of high-RNA cells, resembling stratum spinosum cells of epidermis, which have an average generation time of approximately 40 hr. the third subpopulation consists of non-cycling cells with G_o/G₁ DNA content, with cytochemical features similar to those of cells in granular layer of epidermis. The results based on modelling can reproduce with acceptable accuracy the actual growth curve of the cultured cell population. Analysis of kinetics and differentiation of human keratinocytes is of interest in view of the recent application of cultured epidermal cell sheets for transplantation onto burn wounds. the results of this study also reveal the existence of regulatory mechanisms associated with proliferation and differentiation in the cultured epidermal cell population.     

Adjoint systems for models of cell signaling pathways and their application to parameter fitting

The paper concerns the problem of fitting mathematical models of cell signaling pathways. Such models frequently take the form of sets of nonlinear ordinary differential equations. While the model is continuous in time, the performance index used in the fitting procedure involves measurements taken at discrete time moments. Adjoint sensitivity analysis is a tool which can be used for finding the gradient of a performance index in the space of parameters of the model. In the paper, a structural formulation of adjoint sensitivity analysis called the generalized backpropagation through time (GBPTT) is used. The method is especially suited for hybrid, continuous-discrete time systems. As an example, we use the mathematical model NF-kappaB of the regulatory module, which plays a major role in the innate immune response in animals.