Mathematics in Biology and Medicine

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 therepetitive 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 modelselection 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.