# Showing papers in "Bulletin of Mathematical Biology in 1990"

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TL;DR: In this article, it is shown that many particular choices among possible neurophysiological assumptions are equivalent, in the sense that for every net behaving under one assumption, there exists another net which behaves under another and gives the same results, although perhaps not in the same time.

14,937 citations

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TL;DR: The frequency of a given gene in a population may be modified by a number of conditions including recurrent mutation to and from it, migration, selection of various sorts and, far from least in importance, were chance variation.

4,833 citations

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TL;DR: A possible mechanism by which the genes of a zygote may determine the anatomical structure of the resulting organism is discussed, suggesting that certain well-known physical laws are sufficient to account for many of the facts.

4,306 citations

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TL;DR: This article concludes a series of papers concerned with the flow of electric current through the surface membrane of a giant nerve fibre by putting them into mathematical form and showing that they will account for conduction and excitation in quantitative terms.

1,152 citations

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TL;DR: In this article, it is suggested that a system of chemical substances, called morphogens, reacting together and diffusing through a tissue, is adequate to account for the main phenomena of morphogenesis.

886 citations

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TL;DR: The frequency ratio of the altelomorphs of a Mendelian factor is only stable if selection favours the heterozygote: such factors, though occuring rarely, will accumulate in the stock, while those of the opposite tendency will be eliminated.

497 citations

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390 citations

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269 citations

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TL;DR: The results and implications of that mathematical model of the prevascular phases of tumor growth by diffusion are examined, particularly in the light of recent experimental work carried out on multicellular spheroids.

94 citations

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TL;DR: It is shown that under certain conditions the coexistence of phytoplankton and zooplankon occurs in an orbitally stable oscillatory mode.

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TL;DR: A new algorithm for optimal sequence alignment allowing for long insertions and deletions is developed and modified so that it finds all and and only the optimal alignments in a compact form of a directed graph.

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TL;DR: A method for acceleration of simultaneous multiple sequence alignment is proposed in which consistent regions serve as "anchor points" limiting application of direct multi-way alignment to the rest of "inconsistent" regions.

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TL;DR: Some of the interesting mathematical aspects of Turing's reaction-diffusion mechanism are described and some of the different models which Turing's vision inspired are discussed, including the practical biological applications of the various theories.

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TL;DR: The classical metaphor of the genetic program written in the DNA nucleotidic sequences is reconsidered and an alternative metaphor of DNA as data to a parallel computing network embedded in the global geometrical and biochemical structure of the cell is discussed.

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TL;DR: Leptothorax acervorum show age-polyethism, they start their life as broodworkers and later on they become nestworkers and foragers, and the whole nest population exhibits nonperiodic pulses of activity.

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TL;DR: Mathematical expressions are found for the effect of selection on simple Mendelian populations mating at random on autosomal recessive characters so long as they are rare.

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TL;DR: Chemical reaction networks describing catalysed, template-induced reproduction of three species are analysed in full generality and the nine-dimensional parameter space is reduced to three relevant angular coordinates which determine completely the phase portraits (PPs) and the bifurcation patterns.

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TL;DR: A comparison of inductive inference known as minimum message length encoding is applied to string comparison in molecular biology and the posterior odds-ratio of two string alignments or of two models of string mutation to be computed.

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TL;DR: The present analysis highlights the survival value of a basal metabolic depression during starvation and indicates an optimal body composition of 10% mobilizable fat for starvation survival for a 70 kg man.

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ARCO

^{1}TL;DR: A reduced version of the kinetic model of cortical-like neural systems, aiming to study only short-range, random aspects of activity propagation, was subjected to an intensive computational experimentation, and the results are briefly presented.

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TL;DR: Several properties are identified and prove in particular that the oligonucleotide mixing is an independent process and that several different features are functions of a unique parameter concerning the presence of a large alternating purine/pyrimidine stretches and of periodicities.

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TL;DR: The McCulloch-Pitts neuron is an extremely simplified representation of neural properties, based simply on the existence of a threshold for the activation of an action potential.

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TL;DR: It is concluded that in certain models (including a model of Nicholson's blowflies) successive population peaks do not correspond to discrete generations, whereas in others (including some models of uniform larval competition) successive peaks may well approximate discrete generations.

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TL;DR: A model is developed to describe the phenomenon of interdependence of the number of active ants within the nest and the high level of community activity in Leptothorax acervorum, where the rhythm breaks down and a stable equilibrium is reached.

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TL;DR: An accurate approximation is derived to the distribution of the length of the longest matching word present between two random DNA sequences of finite length, using only elementary probability arguments.

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TL;DR: A deterministic non-linear relationship between the cycle time of the mother and daughter cell is established and clarifies the variability of mother-daughter correlation for the different cell types.

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TL;DR: The mathematical theory of information can be applied to such a graph in order to define two relevant indices: a measure of connectivity (the entropy H of the connections) and the degree of the "energetic specialization" (the internal transfer of informationI).

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TL;DR: It will be shown that if the multifurcations can be considered as aggregates of bifurcation they may be included in the topological analysis of neuronal branching patterns.