Biomathematics and Related Computational Problems

Front Matter....Pages i-xxiii
Front Matter....Pages 1-1
Mathematical Methods of Neurodynamics and Self-Organization....Pages 3-11
Problems Connected with Neuronic Equations....Pages 13-26
A Birth-and-Death Model for Single Neuron’s Activity....Pages 27-37
Spatio-Temporal Patterns of Activity in Neural Systems: Simulation and Analysis....Pages 39-46
Statistical Inference for Stochastic Neuronal Models....Pages 47-53
A Diffusion Neuronal Model and its Parameters....Pages 55-63
Parallel Processing in Nervous Systems with Converging and Diverging Transmission....Pages 65-72
White-Noise Analysis of Neuron Circuitry....Pages 73-81
Perception Quantitatively Analyzed....Pages 83-97
Learning in a Cortical-Like Neural System Model....Pages 99-108
Front Matter....Pages 109-109
Dynamics of a Lake Ecosystem....Pages 111-119
Oscillations of a Biotic Species Feeding on an Abiotic Resource....Pages 121-131
Estimating Parameters and Extinction Probabilities in Population Stochastic Differential Equation Models....Pages 133-143
A Mathematical Framework for the Life-Cycle of Plankto-Benthonic Invertebrates....Pages 145-163
Balanced Growth Rates vs. Balanced Accelerations as Causes of Ecological Equilibria....Pages 165-175
A Stochastic Model of Grass Growth Under Grazing....Pages 177-185
Spectral Analysis of Secondary Growth Patterns in Pinus Uncinata....Pages 187-196
Physiologically Structured Population Models in Risk Assessment....Pages 197-211
The Management of Marine Fishery in Italy: A Bio-Economic Optimization....Pages 213-222
Optimal Life History Models: Effects of Nonlinearities in the Response of Reproductive Success to Investment....Pages 223-235
Front Matter....Pages 109-109
Variations in the Length of Activity Periods: A Test of a General Model by Simulations....Pages 237-243
Homotopy Techniques in Stability Problems of Delay-Diffusion Volterra Models....Pages 245-254
A Counting Process Approach for Stochastic Age-Dependent Population Dynamics....Pages 255-269
Local and Global Stability of Discrete One-Dimensional Population Models....Pages 271-278
On the Evolution of Altruistic Cooperation....Pages 279-282
Lotka-Volterra Models: Partial Stability and Partial Ultimate Bounded-Ness....Pages 283-294
A Mathematical Model of Age-Structured Population Dynamics, with Density Dependent Diffusion....Pages 295-310
Origins of Order in Evolution....Pages 311-330
A Stable Spatially Non-Constant Equilibrium of Lotka-Volterra Two-Patch System with May-Leonard Dynamics....Pages 331-335
Stabilization in a Nonlinear Agedependent Population Model....Pages 337-344
Theories of Euolution of Social Behavior....Pages 345-360
On The Boundedness of Solutions for Cyclic Predator-Prey Systems....Pages 361-367
Front Matter....Pages 369-369
A Model for Rouleaux Pattern Formation of Red Blood Cells....Pages 371-379
Concentration Waves in Aggregation Fields of a Cellular Slime Mold....Pages 381-398
Pattern Generation in Cellular Spaces....Pages 399-407
Modeling of Biological Aggregation Patterns....Pages 409-419
Front Matter....Pages 421-421
Shot Noise Random Fields....Pages 423-427
Scalar Steady-State in Population Biology as a Nonlinear Eigenvalue Problem....Pages 429-438
Numerical Studies of Symmetry-Breaking Bifurcations in Reaction-Diffusion Systems....Pages 439-448
Structural Laws for Hierarchical Systems....Pages 449-458
Front Matter....Pages 421-421
Dynamics of Alopex Process: Application to Optimization Problems....Pages 459-471
Investigation of Precursor-Product Relationships in Radiotracer Studies....Pages 473-481
On a Learning Neural Network....Pages 483-496
Some Considerations on the Relationships Between Human and Artificial Intelligence....Pages 497-504
Some Numerical Problems Arising in the Discretization of Population Dynamic Models....Pages 505-518
Stability in Models with Long Memories....Pages 523-527
Bio-Mathematical Approach to a New-Generation Computer....Pages 529-538
Parametric Stability of Model Ecosystems....Pages 539-554
On the Maximum of Gaussian Fourier Sine Series Connected with Random Vibrations....Pages 555-558
On a Strongly Coupled Parabolic System in Population Dynamics....Pages 559-565
Some Remarks on First-Passage-Time Problems....Pages 567-579
Nonlinear Random Reaction-Diffusion Systems....Pages 581-590
Front Matter....Pages 591-591
Modification of the Chaotic/Order State of Biological Systems by Using Electric Fields....Pages 593-602
Mathematical modelling for contracting muscle....Pages 603-613
Macroscopic cardiac source model and propagation waves in excitable media....Pages 615-627
Complexity and Self-Organization in Enzyme Catalysis: Non-Kramers Behaviour of the Reaction Rate....Pages 629-638
Discrete and Continuous Media in the Presence of a Frequency Gradient....Pages 639-648
Electrical Excitation Propagation Front in the Cardiac Muscle....Pages 649-658
Artificial Intelligence in Medicine, Cognitive Science and Epidemiological Models....Pages 659-667
Pattern-Dynamics in Excitable Reaction-Diffusion Systems....Pages 669-676
Front Matter....Pages 591-591
Symmetry Breaking and Goldstone Modes in Neural Nets....Pages 677-684
On the Electrical Activity and Glucose Response of Insulin-Secreting Cells....Pages 685-696
The Dynamics of Organizing Centers: Numerical Experiments in Differential Geometry....Pages 697-716
Back Matter....Pages 717-733