Showing papers in "Bulletin of Mathematical Biology in 1996"

TL;DR: The history and principal tools of this morphometric synthesis in their biomathematical and biometrical context are reviewed and their usefulness in a study of focal neuroanatomical anomalies in schizophrenia is demonstrated.

TL;DR: The parameter domain for which the quasi-steady state assumption is valid can be considerably extended merely by a simple change of variable, for a variety of biologically significant examples taken from enzyme kinetics, immunology and ecology.

TL;DR: A competition model describing tumor-normal cell interaction with the added effects of periodically pulsed chemotherapy is discussed and parameter conditions needed to prevent relapse following attempts to remove the tumor or tumor metastasis are described.

TL;DR: The mathematical model, although greatly simplified as a description of an extremely complex process, offers a means to pose hypotheses concerning treatment protocols, simulate alternative strategies and guide the qualitative understanding of AIDS chemotherapy.

TL;DR: This work proposes a mathematical approach to the modelling of self-organizing hierarchies in animal societies that relies on a basic positive feedback mechanism that reinforces the ability of a given individual to win or to lose in a hierarchical interaction, depending on how many times it won or lost in previous interactions.

TL;DR: The main purpose of the 14th Springer-Verlag text in Applied Math, Growth and Diffusion Phenomena: Mathematical Frameworks and Applications as discussed by the authors is to "amalgamate some of the many advances on topics relating to growth and diffusion phenomena".

TL;DR: In this article, the authors studied the propagation of non-linear waves in a pre-stressed thin elastic tube filled with an inviscid fluid, analogous to the physiological conditions of the arteries.

TL;DR: An analytical model for thermal damage of retinal tissue due to absorption of laser energy by finite-sized melanin granules is developed to provide a more accurate biological description of sub-millisecond pulse exposures than previous retinal models, while achieving agreement for longer pulses.

TL;DR: In this article, a unified approach is presented for the construction and analysis of models for the dynamics of populations and communities in the presence of temporal variability, vague density dependence, chaos or analytical intractability.

TL;DR: A caricature model is proposed which retains the fundamental cellular and chemical components of the full model, in order to analyse the spatiotemporal dynamics of the initiation, progression, cessation and regression of fibro-contractive diseases in relation to normal healing.

TL;DR: If the migration rate is large enough and has density dependence of the correct form, then the steady state can be destabilised and the population size on each patch remains constant over time, hence the change might more properly be described as a decrease in homogeneity rather than in stability.

TL;DR: Growth, branching and anastomosis, the three actual main events occurring in vascular growth, are included in this model and the conditions on these parameters are well established, which allows the production of realistic patterns.

TL;DR: For a range of genetic models, it is found that the condition for maintaining genetic diversity generalizes almost without change, and requires fitness fluctuations that are substantial but well within the range observed in many studies of natural populations.

TL;DR: A spatially explicit single-species population model in which intra-specific interactions alone are responsible for such an abrupt change in abundance, and the essential mechanism involves cooperation in both colonization and mortality.

TL;DR: A mathematical model describing fluid flow in a collapsible tube is analysed and some of the bifurcation types found in this model bear close resemblance to the types suggested by experimental observations of self-excited oscillations in collapsible tubes, shedding some light on the various topological changes which occur in practice.

TL;DR: In the presence of seasonal forcing, predator-prey models with quadratic interaction terms and weak dissipation can exhibit infinite numbers of coexisting periodic attractors corresponding to cycles of different magnitude and frequency as mentioned in this paper.

TL;DR: In this paper, a model incorporating periodic control, e.g., herbicide application, is derived for a plant population in a spatially homogeneous setting, where plant dispersal is incorporated.

TL;DR: Calculations provide additional support for the Ca(2+)-voltage hypothesis for neurotransmitter release by showing, contrary to expectations, that for equal admitted Ca2+ currents at low and high depolarization, the average Ca2- concentration at the release area is higher at the lowdepolarization.

TL;DR: A mathematical model of the interaction of both cytokines on T and B cells is built as a building block toward a models of the Th1/Th2 cross-regulation and can lead to either antagnostic or synergistic combined effect.

TL;DR: A simple dynamic model is proposed that adequately describes the dynamic behavior of the bacterial populations in the presence of the antibiotic: beginning with drug administration, then through the decline of theacterial population and possibly ending with bacterial resurgence.

TL;DR: The olfactory receptor neuron provides a good opportunity to analyze a biophysical model of a single neuron because its dendritic structure is simple and even close to a cylinder in the case of the moth sex-pheromone receptor cell.

TL;DR: A stochastic cellular automata model for the population dynamics of the army antEciton burchelli on Barro Colorado Island in Panama is set up and shown to give good agreement with biological data.

TL;DR: In this paper, the quasi-stationary distribution of a population within a system of interacting populations is approximated by a stochastic logistic process, and the expected extinction time is expressed in the parameters of the full system.

TL;DR: An iterative solution method is suggested to solve for the pressure and flow-rate distributions in an arbitrary diverging-converging (arterial-venous) network consisting of two tree-like networks which are connected to each other at the capillary nodes.

TL;DR: There is an optimal treatment for convective drug delivery to the center of the tumor and this phenomenon is interpreted in terms of traffic flow, which is based on mathematical analysis and simulations.