Title | Biomathematics and Related Computational Problems [electronic resource] / edited by Luigi M. Ricciardi |
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Imprint | Dordrecht : Springer Netherlands, 1988 |
Connect to | http://dx.doi.org/10.1007/978-94-009-2975-3 |
Descript | XXVI, 734 p. online resource |
I. Neurosciences and Related Problems -- Mathematical methods of neurodynamics and self-organization -- Problems connected with neuronic equations -- A birth-and-death model for single neuronโs activity -- Spatio-temporal patterns of activity in neural systems: simulation and analysis -- Statistical inference for stochastic neuronal models -- A diffusion neuronal model and its parameters -- Parallel processing in nervous systems with converging and diverging transmission -- White-noise analysis of neuron circuitry -- Perception quantitatively analyzed -- Learning in a cortical-like neural system model -- II. Population Theories -- Ecology -- Dynamics of a lake ecosystem -- Oscillations of a biotic species feeding on an abiotic resource -- Estimating parameters and extinction probabilities in population stochastic differential equations models -- A mathematical framework for the life-cycle of plankto-benthonic invertebrates -- Balanced growth rates vs. balanced accelerations as causes of ecological equilibria -- A stochastic model of grass growth under grazing -- Spectral analysis of secondary growth patterns in Pinus uncinata -- Physiologically structured population models in risk assessment -- The management of marine fishery in Italy: a bio-economic optimization -- Optimal life history models: effects of nonlinearities in the response of reproductive success to investment -- Variations in the length of activity periods: a test of a general model by simulation -- Dynamics and Evolution -- Homotopy techniques in stability problems of delay-diffusion Volterra models -- A counting process approach for stochastic age-dependent population dynamics -- Local and global stability of discrete one-dimensional population models -- On the evolution of altruistic cooperation -- Lotka-Volterra models: partial stability and partial ultimate boundedness -- A mathematical model of age-structured population dynamics with density dependent diffusion -- Origins of order in evolution: self organization and selection -- A stable spatially non-constant equilibrium of Lotka-Volterra two-patch system with May-Leonard dynamics -- Stabilization in a nonlinear agedependent population model -- Theories of evolution of social behavior -- On the boundedness of solutions for cyclic predator-prey systems -- III. Morphogenesis and Pattern Formation -- A model for rouleaux pattern formation of red blood cells. Enumeration of absolutely stable patterns -- Concentration waves in aggregation fields of a cellular slime mold -- Pattern generation in cellular spaces -- Modeling of biological aggregation patterns -- IV. Theoretical and Computational Methods -- Shot noise random fields -- Scalar steady-state in population biology as a nonlinear eigenvalue problem -- Numerical studies of symmetry-breaking bifurcations in reaction-diffusion systems -- Structural laws for hierarchical systems -- Dynamics of Alopex process: application to optimization problems -- Investigation of precursor-product relationships in radiotracer studies -- On a learning neural network -- Some considerations on the relationships between human and artificial intelligence -- Some numerical problems arising in the discretization of population dynamics models -- Stability in models with long memories -- Bio-mathematical approach to a new-generation computer -- Parametric stability of model ecosystems -- On the maximum of Gaussian Fourier series connected with random vibrations -- On a strongly coupled parabolic system in population dynamics -- Some remarks on first-passage-time problems -- Nonlinear random reaction-diffusion systems -- V. Biological, Chemical and Physical Systems -- Modification of the chaotic/order state of biological sistems by using electric fields -- Mathematical modelling for contracting muscle -- Macroscopic cardiac source model and propagation waves in excitable media -- Complexity and self-organization in enzyme catalysis: non-Kramers behaviours of the reaction rate -- Discrete and continuous media in the presence of a frequency gradient -- Electrical excitation propagation front in the cardiac muscle -- Artificial intelligence in medicine, cognitive science and epidemiological models -- Pattern-dynamics in excitable reaction-diffusion systems -- Symmetry breaking and Goldstone modes in neural nets -- On the elrctrical activity and glucose response of insuline secreting cells -- The dynamics of organizing centers: numerical experiments in differential geometry -- Name Index