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Biomedical subjects

J Brindley

Publications and source records attributed to J Brindley.

12 recordsLinked to original sources
PubMed2004

Phytoplankton blooms and fish recruitment rate: effects of spatial distribution.

We consider the spatio-temporal dynamics of a spatially-structured generalization of the phytoplankton-zooplankton-fish larvae model system proposed earlier (Biktashev et al., 2003, J. Plankton Res. 5, 21-33; James et al., 2003, Ecol. Model. 160, 77-90). In contrast to Pitchford and Brindley (2001, Bull. Math. Biol. 63, 527-546), who were concerned with small scale patchiness (i.e., 1-10 m), on which the (stochastic) raptorial behaviour of individual larvae is important, we address here the much larger scale 'patchy' problems (i.e., 10-100 km), on which both larvae and plankton may be regarded as passive tracers of the fluid motion, dispersed and mixed by the turbulent diffusion processes. In particular, we study the dependence of the fish recruitment on carrying capacities of the plankton subsystem and on spatio-temporal evolution of that subsystem with respect to the larvae hatching site(s). It is shown that the main features found both in the nonstructured and age-structured spatially uniform models are observed in the spatially structured case, but that spatial effects can significantly modify the overall quantitative outcome. Spatial patterns in the metamorphosed fish distribution are a consequence of quasi-local interaction of larvae with plankton, in which the dispersion of larvae by large scale turbulent eddies plays little part due to the relatively short timescale of the larvae development. As a result, in a strong phyto/zooplankton subsystem, with fast reproduction rate and large carrying capacity of phytoplankton and high conversion ratio of zooplankton, recruitment success depends only on the localization and timing of the hatching with respect to the plankton patches. In a weak phyto/zooplankton system, with slow reproduction rate and small carrying capacity of phytoplankton and low conversion ratio of zooplankton, the larvae may significantly influence the evolution of the plankton patches, which may lead to nontrivial cooperative effects between different patches of larvae. However, in this case, recruitment is very low.

Animals↗
PubMed2004

Pursuit-evasion predator-prey waves in two spatial dimensions.

We consider a spatially distributed population dynamics model with excitable predator-prey kinetics, where species propagate in space due to their taxis with respect to each other's gradient in addition to, or instead of, their diffusive spread. Earlier, we have described new phenomena in this model in one spatial dimension, not found in analogous systems without taxis: reflecting and self-splitting waves. Here we identify new phenomena in two spatial dimensions: unusual patterns of meander of spirals, partial reflection of waves, swelling wave tips, attachment of free wave ends to wave backs, and as a result, a novel mechanism of self-supporting complicated spatiotemporal activity, unknown in reaction-diffusion population models.

Adaptation, Physiological↗
PubMed2003

Quasisoliton interaction of pursuit-evasion waves in a predator-prey system.

We consider a system of partial differential equations describing two spatially distributed populations in a "predator-prey" interaction with each other. The spatial evolution is governed by three processes: positive taxis of predators up the gradient of prey (pursuit), negative taxis of prey down the gradient of predators (evasion), and diffusion resulting from random motion of both species. We demonstrate a new type of propagating wave in this system. The mechanism of propagation of these waves essentially depends on the taxis and is entirely different from waves in a reaction-diffusion system. Unlike typical reaction-diffusion waves, which annihilate on collision, these "taxis" waves can often penetrate through each other and reflect from impermeable boundaries.

Animals↗
PubMed2001

Prey patchiness, predator survival and fish recruitment.

A simple mathematical model is presented for the population dynamics of fish larvae when the main food supply, in this case copepods, is spatially patchy in its distribution. Encounters by an individual predator (larva) with prey patches, and with individual prey within patches, are represented by Poisson processes. It is demonstrated analytically, and confirmed by numerical experiments, that prey patchiness fails to alter mean predator-prey encounter rates from their values for homogeneous prey distributions. Individual variance in encounter rate is, however, much affected. This has significant consequences for the (small) numbers of larvae surviving to metamorphosis and recruitment to the adult fish population.

Animals↗
PubMed2000

Stochastic development of individual members of a population: a Brownian motion approach.

The paper looks at a formulation of physiologically structured population models within which individual development is affected by a special form of demographic stochasticity, accounting for random success or failure at exploiting available resources. This frees models from the requirement that individual development is uniquely determined by physiology and environmental conditions. An expression is derived which describes the motion of cohorts through individual state space, and the results are applied to an idealized model of Daphnia feeding on algae.

Algorithms↗
PubMed1999

Excitability of an age-structured plankton ecosystem.

We adapt a simple two-component model of a plankton ecosystem to account for the life spans of individual predatory organisms. We investigate the system's short-term dynamics, in particular its excitability, and its long-term dynamics, and show how both can be highly sensitive to initial conditions. We discover that this effect is enhanced by imposing age structure on the system.

Age Distribution↗
PubMed1999

Spatiotemporal irregularity in an excitable medium with shear flow.

We consider an excitable medium moving with relative shear, subjected to a localized disturbance that in a stationary medium would produce a pair of spiral waves. The spiral waves so created are distorted and then broken by the motion of the medium. Such breaks generate new spiral waves, and so a "chain reaction" of spiral wave births and deaths is observed. This leads to a complicated spatiotemporal pattern, the "frazzle gas" [term suggested by Markus et al., Nature (London) 371, 402 (1994)], which eventually fills the whole medium. In this paper, we display and interpret the main features of the pattern.

Journal Article↗
PubMed1998

Analysis of 1263 deaths in four general practices.

BACKGROUND: The death of a patient is a significant event that occurs often enough in general practice for it to have the potential to tell us much about the care we provide. There are few large series in the literature and we still know little about the collaborative use of this outcome measure. AIM: To determine the pattern of deaths and potentially preventable factors in our practices. METHOD: We completed a standard data collection form after each death in four general practices over a 40-month period. The results were discussed at quarterly meetings. RESULTS: A total of 1263 deaths occurred among our registered patients during the period of the audit. Preventable factors contributing to deaths were considered to be attributable to: patients (40%): mainly cigarette smoking, poor compliance, and alcohol problems; general practice teams (5%): mainly delayed referral, diagnosis and treatment, and failure to prescribe aspirin to patients with vascular disease; hospitals (6%): mainly delayed diagnosis and perceived treatment problems; the environment (3%): mainly falls, principally resulting in fractured neck of femur. CONCLUSION: A simple audit of deaths along the lines that we describe gives important information about the care provided by general practice teams and those in hospital practice. It has both educational value and is a source of ideas for service improvement and further study, particularly when carried out over several years.

Accidental Falls↗
PubMed1997

Qualitative modeling of mechanoelectrical feedback in a ventricular cell.

Mechanical changes in the heart muscle can influence its electrical properties through a process called mechanoelectrical feedback (MEF). This feedback can operate via changes in calcium dynamics during the cross-bridge cycle or via mechanosensitive (stretch-activated) channels. We present a four-variable ordinary differential equation (ODE) system that caricatures the electrical and mechanical activity of a ventricular cell and their mutual interactions. A three-variable excitable system with restitution properties of the FitzHugh-Nagumo type is coupled to a fourth equation which describes changes in cell length during a lightly loaded contraction. The resulting four-variable system models MEF in a cell and can be incorporated into spatially distributed models for mechanoelectric behavior during wave propagation in the cardiac tissue.

Animals↗
PubMed1996

An audit of 319 deaths across four general practices.

Death is a major outcome measure, and the value of an audit of the preventable factors leading to individual deaths is accepted in secondary care. Although approximately 20 of a typical general practitioner's patients will die every year, audits of deaths in general practice are seldom published. This is probably partly due to the difficulties posed by comparability, partly due to the wide range of causes of such deaths and possible contributory factors, and partly due to confidentiality considerations. We describe an audit of all death occurring in our practices over a 12-month period. Although cigarette smoking was considered to exceed all other contributory causes of death, preventable factors occurred in both primary and secondary care sufficiently often for important conclusions to be drawn. Comparison of causes of death between general practices is possible, and such enquiry can demonstrate important quality issues for both primary and secondary care.

Adolescent↗
PubMed1992

Initiation and stability of reentry in two coupled excitable fibers.

Reentry in the heart is the repeated excitation of the same tissue by a single excitation wave; it is responsible for several types of cardiac arrhythmia. The simplest model which permits the phenomenon of reentry is two laterally coupled excitable fibers; in this paper we examine such a model in order to establish a basis for the understanding of the fundamental physical processes underlying the process of reentry. Two versions of the FitzHugh-Nagumo equations are used to develop complementary numerical and analytical results for the coupled fiber model. On the basis of numerical studies, regions of qualitatively different behaviour are mapped in the parameter space of excitation threshold and coupling strength between the fibers, and the effect of the rate of recovery is explored. Some of these regions are also obtained analytically, in good agreement with the numerical results. Finally, the results are discussed in the light of recent work on the role of the anisotropy of cardiac tissue in the initiation of reentrant activity in the heart.

Animals↗