Mathematics in Biology and Medicine: Proceedings of an International Conference Held in Bari, Italy, July 18-22, 1983

ISBN-13: 9783540152002 / Angielski / Miękka / 1985 / 528 str.

Vincenzo Capasso; Enea Grosso; Stefano L. Paveri-Fontana

Opis

These Proceedings contain a large part of the papers presented at the International Conference "Mathematics in Biology and Medicine" organized by the Dipartimento di Matematica and the Istituto di Igiene at the University of Bari, Italy, July 18-22, 1983. The main objective of the Conference was to bring together scientists in pure and applied mathematics and scientists in biology and medicine. The purpose was to exchange ideas and discuss the common problems encoun~red in the formulation, ana- lysis and numerical treatment of mathematical models in the biomedical sciences. Si- mulation methods and problems of validation of models vs. experimental data were al- so treated. SUrveys on recent mathematical results motivated by biological questioffi were given. Altogether,we think that a balance between mathematical and biomedical aspects was maintained. The Scientific Committee consisted of E. Biondi (Milano), P. Colli-Franzone (Udine), I. Galligani (Bologna), M. Iannelli (Trento), G. Koch (Roma), E. Marubini (Milano), C. Matessi (Pavia), M. Primicerio (Firenze), L.M. Ricciardi (Napoli), R. Rinaldi (Milano), A. Zampieri (Roma), and the European Liaison Committee consisted of R.M. Anderson (United Kingdom), N.T.J. Bailey (Switzerland), O. Diekmann (The Netherlands), K. Dietz (F. R. Germany), K.P. Hadeler (F* .*. R. Germany), J.P. Kernevez (France).

Spis treści

I. — Population Genetics and Ecology.- Invited Papers.- The role of diffusion in mathematical population biology: Skellam revisited.- The dynamics of structured populations: some examples.- Mathematical problems in the description of age structured populations.- Contributed Papers.- Models for mutual attraction and aggregation of motile individuals.- A problem on invariant manifolds arising in population genetics.- On a mathematical problem arising in cell population biology.- The external memory of intertidal molluscs:a theoretical study of trail-following.- Stationary distributions for populations subject to random catastrophes.- A nonlinear diffusion equation in phytoplankton dynamics with self—shading effects.- A model of aphid population with age structure.- On two-population models with switching depletion.- On some nonlinear diffusion models in population dynamics.- Reduction of the gene Flow of a “neutral” linked gene due to the partial sterility of heterozygotes for a chromosome mutation.- Predator-mediated coexistence of competing species in a Volterra model.- On a nonlinear problem arising from interaction of algae with light.- II. — Epidemics.- Invited Papers.- Congenital rubella syndrome (C.R.S.): models of disease control by vaccination.- A simulation model for the control of helminth diseases by chemotherapy.- Models for endemic diseases.- Stochastic epidemics as point processes.- Contributed Papers.- A computer simulation program for the assessment of multistate epidemiological models of infectious diseases.- Mathematical model of hepatitis B.- Models of the interaction of host genotypes and infectious disease.- On the general epidemic model in discrete time.- Control of virus transmission in age-structured populations.- Parameter estimation and validation for an epidemic model.- Local stability in epidemic models for heterogeneous populations.- III. — Resource Management.- Invited Papers.- Bayesian methods in ecology and resource management.- Contributed Papers.- Stochastic differential equation models of fisheries in an uncertain world: extinction probabilities, optimal fishing effort, and parameter estimation.- IV. — Physiology and Medicine.- Invited Papers.- Experiment designs identification of simple and complex models of endocrine-metabolic systems.- A mathematical model for cardiac electric sources and related potential fields.- Mathematical analysis of immobilized enzyme systems.- Contributed Papers.- Modeling controls and variability of the cell cycle.- The phase resetting characteristics of endogenously active neurones.- Theory of DNA superhelicity.- Determination of DNA synthesis rate in cell populations with locally exponential S-phase influx.- A numerical study for a cell system.- Experimental validation of a mathematical procedure for the analysis of flow cytometric data.- A stochastic model for describing the space-time evolution of the extreme values of cardiac potentials on the chest surface.- Statistical analysis of the coding capacity of complementary DNA strands.- Mass transport across multimembrane systems: a general analysis.- Time hierarchy in oscillating metabolic systems.- Modeling of the interaction between ligands and cell membrane receptors in the presence of exogenous electric fields.- Balance of growth models of cell populations: the significance of simple mathematical considerations.- The age structure of populations of cells reproducing by asymmetric division.- Numerical simulation of reentry of the activation wave in the heart hiss bundle.- Hopf bifurcation and the repetitive activity of excitable cells.- Nonlinear evolution equations with a convolution term involved in some neurophysiological models.- Investigation of rapid metabolic reactions in whole organs by multiple pulse Labelling.- Cross-linking of identical particles by multiple ligand-types.- Enumeration of RNA secondary structures by complexity.- Growth of cell populations.- V. — Compartmental Analysis.- Invited Papers.- A staging process with applications in biology and medicine.- On the use of residence time moments in the statistical analysis of age-dependent stochastic compartmental systems.- An algorithm for reconstruction of count rate curves from total counts.- Contributed Papers.- On identifiability of linear compartmental systems: some results obtained by means of structural properties of the associated graph.- Compartmental vs, noncompartmental modeling of ketone body kinetics.- Identifiability of compartmental models: on characterization of two extremal types of input-output experiments.- VI. — General Mathematical Methods.- Invited Papers.- Estimation techniques for transport equations.- Stability of delay differential equations with applications in biology and medicine.- Existence of quasi-solutions of systems of nonlinear elliptic BVP’s suggested by biochemical reactions.- Diffusion approximations and first passage time problems in population biology and neurobiology.- Contributed Papers.- The role of exchangeability in biology, genetics and medicine.- Cyclic chemical systems: an asymptotic stability criterion.- On existence, uniqueness and attractivity of stationary solutions to some quasilinear parabolic systems.- Asymptotic estimates for principal eigenvalues.- Remarks on the connection between positive feedback and instability in regard to model selection in population biology.- Lyapunov methods for a wide class of stochastic models in biology.- Existence and uniqueness for a non linear Cauchy problem of hyperbolic type.- Catastrophe theory in biology.- S-system analysis of biological systems.