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TitleMathematics in Biology and Medicine [electronic resource] : Proceedings of an International Conference held in Bari, Italy, July 18-22, 1983 / edited by V. Capasso, E. Grosso, S. L. Paveri-Fontana
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1985
Connect tohttp://dx.doi.org/10.1007/978-3-642-93287-8
Descript XVIII, 528 p. online resource

CONTENT

I. โ{128}{148} 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 selfโ{128}{148}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 โ{128}{156}neutralโ{128}{157} 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. โ{128}{148} 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. โ{128}{148} 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. โ{128}{148} 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. โ{128}{148} 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. โ{128}{148} 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 BVPโ{128}{153}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


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