Immune surveillance and neoplasia—1 a minimal mathematical model

A deterministic predator-prey model is presented for describing the dynamics of a solid tumor in the presence of a specifically reactive lymphocyte population which is stimulated by, and antagonistic to, the tumor. The qualitative behavior of the solutions is developed and briefly compared to the results of transplantation experiments. Although the model is primitive, it leads to predictions that are in general agreement with observation and intuitive expectations. In particular, it is found that: (1) very low levels of transplanted tumor will not survive in the recipient. (2) At somewhat higher levels, tumor growth will be uncontrolled in the syngeneic recipient. However, immune intervention if early enough, can lead to control and elimination of the tumor. (3) At still higher levels of transplanted tumor, no amount of immune intervention will be effective in controlling the tumor. (4) If the recipients immune system is suppressed prior to transplantation, or is debilitated for any reason, the chance that the tumor will grow increases. (5) If the recipients immune system is stimulated prior to transplantation, the chance of tumor survival decreases. (6) The survival of the tumor is much more sensitive to changes in tumor parameters (for example, antigenicity) than in lymphocyte parameters. In addition it makes the unintuitive prediction that (7) There areisolated instances under which anincrease in the number of lymphocytes canincrease the chance of tumor survival.     

Some techniques in building and validating stochastic models of human reproduction

Stochastic models of human reproduction are beginning to play significant roles in the evaluation of family planning programs. A class of stochastic processes called absorbing, agedependent, semi-Markov processes frequently arises in the construction of such models. The paper begins with a discussion of some technicalities regarding absorbing, age-dependent, semi-Markov processes. Then, an algorithm due to Littman, which makes possible the computerization of this class of stochastic processes, is presented. Briefly, Littman’s algorithm provides an efficient method for numerically solving systems of renewal type integral equations, provided the system does not contain a large number of equations. After setting down a concrete model for a large clinical trial of intrauterine devices conducted in Taiwan, the paper concludes with a discussion of a method for validating the model based on the data collected in the clinical trial. Presented at the Society for Mathematical Biology Meeting, University of Pennsylvania, Philadelphia, August 19–21, 1976.     

Abscisic acid and the accumulation, biological activity and metabolism of four derivatives of [3H]gibberellin A1 in barley aleurone layers

Tritiated GA₁ and four of its synthetic derivatives were studiedin relation to their biological activity, uptake and metabolismby barley aleurone layers. Incubation was done in the presenceand absence of ABA. Tentative identification of some of themetabolites was made by TLC and GLC radiocounting of the metaboliteand its acid hydrolyzed derivative. Only GA₁ promoted -amylase synthesis. Uptake ranged from 20to 42%, varying with the derivative. ABA enhanced uptake of[³H]GA₁ and [³H]pseudoGA₁ and inhibited uptake of [³H]ketoGA₁the Wagner-Meerwein rearrangement product of [³H]GA₁ Uptakeof [³H]GA₁ methyl ester ([³H]GA₁-Me) and [³H]dihydroGA₁ wasunaffected by ABA. [³H]GA₁ was converted to an amphoteric GA₁ derivative ([³H]amphoGA₁)and [³H]GA₁-glycosyl ester. GA₁-Me was metabolized to four products,all of them GA₁ derivatives, including an apparent amphotericGA₁ derivative. DihydroGA₁ was quite stable; only one metabolitewas produced in sufficient yield to analyze. This product didnot cochromatograph with either of the expected acid hydrolyzedepimers of [³H]dihydroGA₁. [³H]ketoGA₁ was readily metabolizedto one product, probably the glycoside. [³H]pseudoGA₁ remainedessentially unmetabolized. Metabolism of all compounds testedwas not dramatically affected by ABA. Surprisingly, no metabolitesfrom hydroxylation at the 2-position were found. ¹ Present address: Monsanto Agricultural Co., 800 N. LindberghBlvd., St. Louis, MO 63166, U.S.A. (Received January 31, 1977; )     

Habitat choice in natural populations of Drosophila

Summary Mark-release-recapture experiments performed with natural populations of Drosophila at Mather, California show that flies tend to return to their area of original capture or an area ecologically similar to it. Such habitat choice explains the microgeographic genetic differentiation we observed in the population. This behavioral difference between the flies may have a genetic component or may be environmentally induced. Either way, the results help explain how high levels of genetic variation are maintained by natural selection in these species.     

Evolutionary genetics of birds. V. Genetic distances within Mimidae (mimic thrushes) and Vireonidae (vireos)

Genetic distances (D's) between five species within each of the families Mimidae and Vireonidae were estimated from frequencies of protein electromorphs at 23 loci. For three mimid species in the genus Toxostoma, equals 0.084 (range, 0.069–0.104); and among three mimid genera, equals 0.223 (0.167–0.278). These distances typify values previously reported in other birds at comparable levels of taxonomic recognition. In sharp contrast, the mean genetic distance among five congeneric species of Vireonidae is far higher, =0.360 (0.027–0.578). One possible explanation for these results is that Vireo species are considerably older, on the average, than are species of Toxostoma or than are members of several other avian genera assayed to date. Conventional thought about the origin and relative age of the Vireonidae appears compatible with this explanation. Although genetic distances in the Vireonidae are large by avian standards, they remain modest or even small in comparison with distances between many nonavian vertebrate congeners. Results for the Mimidae and the Vireonidae are directly contrasted with genetic distances in well-known genera of Amphibia and Reptilia.This research was supported by NSF Grant DEB 7814195 and by a grant from the American Philosophical Society.     

Control of phosphatidylcholine synthesis in Hep G2 cells. Effect of fatty acids on the activity and immunoreactive content of choline phosphate cytidylyltransferase.

We examined the effect of fatty acids on phosphatidylcholine synthesis and cytidylyltransferase activity in Hep G2 cells. Treatment of Hep G2 cells with oleic acid caused an increase in the incorporation of [methyl-14C]choline into phosphatidylcholine and a corresponding decrease in radioactivity in choline phosphate using a pulse-chase procedure. This result is consistent with a fatty acid-induced increase in the cytidylyl-transferase step in the choline pathway. We measured cytidylyltransferase activity in membrane fractions and in cytosol (100,000 x g supernatant or soluble enzyme released by digitonin). The activity increased in both membrane and cytosol. Thus, an increase in total activity occurred. Cytidylyltransferase protein determined by Western blot immunoassay increased after oleic acid treatment. Immunotitration of cytidylyltransferase protein also indicated that an increase in enzyme protein resulted from oleic acid treatment. Cycloheximide did not prevent the oleic acid-induced increase in cytidylyltransferase activity. The increase in enzyme activity was apparent when we measured the activity in the presence or absence of lipid activators. Separation of cytosolic cytidylyltransferase into H- and L-forms showed that the increase in cytosolic activity was due to an increase in H-form. The amount of L-form did not change. We interpret these results to suggest that fatty acid treatment of Hep G2 cells promoted the formation of active cytidylyltransferase (H-form) from a preexisting inactive form. The increased activity was distributed between membranes and the lipoprotein form in cytosol (H-form).     

An aberrant plastid ribosomal RNA gene cluster in the root parasite Conopholis americana

The plastid ribisomal RNA (rRNA) operon of the achlorophyllous root parasite Conopholis americana was completely sequenced. Full-length rRNA genes are retained in the gene cluster, but significant divergence has occurred in the 16S, 23S and 5S genes. Both the 16S–23S intergenic spacer and the 4.5S–5S intergenic spacer have suffered substantial deletions, including the two tRNA genes typically found in prokaryotic and plastid 16S–23S spacers.     

ON MISSING ENTRIES IN CLADISTIC ANALYSIS

Abstract The exact algorithms of two commonly used parsimony programs, Hennig86 by J. S. Farris and PAUP by D. Swofford, sometimes produce different solutions, and sometimes produce resolutions that are not supported by the data being analysed. The discrepancies apparently involve the treatment of missing entries, which can currently represent unknown data, inapplicable character and/or polymorphic taxa. Each of those potential sources of ambiguity is logically (if not computationally) different; with regard to binary characters, unknown data could be either 0 or 1, inapplicable characters are neither 0 nor 1 and polymorphisms are both 0 and 1. Resolutions that cannot be supported by any possible combination of known state attributions should either be flagged as such or suppressed entirely.