mathematical-and-experimental-modeling-of-physical-and-biological-processes

TLDR: In this paper, the Iterative Modeling Process Modeling and Inverse Problems Mechanical Vibrations inverse problems Mathematical and Statistical Aspects of Inverse problems Probability and Statistics Overview Parameter Estimation or Inverse Problem Computation of sigman, Standard Errors, and Confidence Intervals Investigation of Statistical Assumptions Statistically Based Model Comparison Techniques Mass Balance and Mass Transport Introduction Compartmental Concepts Compartment Modeling General Mass Transport Equations Heat Conduction Motivating Problems Mathematical Modeling of Heat Transfer Experimental Modeling: Force/Moments Balance Motivation

Abstract: Introduction: The Iterative Modeling Process Modeling and Inverse Problems Mechanical Vibrations Inverse Problems Mathematical and Statistical Aspects of Inverse Problems Probability and Statistics Overview Parameter Estimation or Inverse Problems Computation of sigman, Standard Errors, and Confidence Intervals Investigation of Statistical Assumptions Statistically Based Model Comparison Techniques Mass Balance and Mass Transport Introduction Compartmental Concepts Compartment Modeling General Mass Transport Equations Heat Conduction Motivating Problems Mathematical Modeling of Heat Transfer Experimental Modeling of Heat Transfer Structural Modeling: Force/Moments Balance Motivation: Control of Acoustics/Structural Interactions Introduction to Mechanics of Elastic Solids Deformations of Beams Separation of Variables: Modes and Mode Shapes Numerical Approximations: Galerkin's Method Energy Functional Formulation The Finite Element Method Experimental Beam Vibration Analysis Beam Vibrational Control and Real-Time Implementation Introduction Controllability and Observability of Linear Systems Design of State Feedback Control Systems and State Estimators Pole Placement (Relocation) Problem Linear Quadratic Regulator Theory Beam Vibrational Control: Real-Time Feedback Control Implementation Wave Propagation Fluid Dynamics Fluid Waves Experimental Modeling of the Wave Equation Size-Structured Population Models Introduction: A Motivating Application A Single Species Model (Malthusian Law) The Logistic Model A Predator/Prey Model A Size-Structured Population Model The Sinko-Streifer Model and Inverse Problems Size Structure and Mosquitofish Populations Appendix A: An Introduction to Fourier Techniques Fourier Series Fourier Transforms Appendix B: Review of Vector Calculus References appear at the end of each chapter.