(click here for colloquia)
- 2024-06-13 : Daryl DeFord featured in MAA’s "Focus"
- 2024-04-25 : Reimagining Spectral Graph Theory
- 2024-03-06 : CAS Three Minute Thesis
- 2024-02-19 : Jillian Morrison featured in MAA’s "Focus"
- 2018-04-17 : Mathematics Seminar: Teaching Calculus with Active Learning, Rigor, and Depth - The Mean Value Theorem as an Example
- 2017-02-22 : Mathematics Seminar: Introduction to Numerical Relativity
- 2017-02-15 : Mathematics Seminar: Problem we really like (and why!)
- 2017-02-14 : Mathematics Seminar: The Patient-Patch: Hospital Epidemiology as an Ecology Problem
- 2017-02-08 : Mathematics Seminar: When linear approximations work
- 2017-01-23 : Stochastic Second Order Optimization Methods: Theory and Applications
- 2016-09-28 : Math Seminars: Monotone numerical methods for nonlinear parabolic and integro-parabolic problems
- 2015-10-05 : Math Seminar: Eventually Cone Positive Semigroups of Linear Operators
- 2015-09-30 : Math Seminar: "Poincares Inequality and Its Application for Vector Fields"
- 2015-09-28 : Math Seminar: "Constructive Proof of Hessenberg Form"
- 2015-09-23 : Math Seminar: "Ergodicity for the stochastic partial differential equations of fluid mechanics"
- 2015-09-21 : Math Seminar: "Core-Chasing Algorithms for Eigenvalue Computations"
- 2015-09-09 : Math Seminar: "The Coarea Formula"
- 2015-09-02 : Math Seminar: "Introducing the Method of Characteristics with the 1-D Traffic Equation"
- 2015-04-22 : Math Seminar: "What About Median of Shapes?"
- 2015-04-15 : Math Seminar: "Microlocal Analysis & X-ray Computed Tomography"
- 2015-04-08 : Math Seminar: "Nonlocal Continuum Models of Particle Systems"
- 2015-04-01 : Mathematics Seminar: "Coalescence in branching processes"
- 2014-12-10 : Mathematics Analysis Seminar: "How smooth is your convolution?"
- 2014-12-04 : Math Seminar: "Applications of modeling and optimization tools for quality improvement in composites manufacturing"
- 2014-12-02 : Mathematics Seminar: "Chebyshev Bounds, Semidefinite Programming and European Call Option"
- 2014-11-20 : Math Seminar: "Wasserstein barycenters and related problems: theory, numerics and applications"
- 2014-11-19 : Mathematics Analysis Seminar: Brouwers Fixed Point Theorem: A game based proof
- 2014-11-18 : Mathematics Seminar: Good Risk Assessment: Thinking Coherently
- 2014-04-30 : Mathematics Analysis Seminar: Flat norm decompositions of integral currents
- 2014-04-23 : Mathematics Analysis Seminar: "Induced Dimension Reduction"
- 2014-04-16 : Mathematics Analysis Seminar: Hausdorff Estimation of Density Level Sets
- 2014-04-09 : Analysis Seminar: *: Multiplicative controllability for the reaction-diffusion equation with target states admitting finitely many changes of sign.
- 2014-03-28 : Mathematical Seminar: "Teaching Precalculus and Calculus with Interactive Figures"
- 2014-02-26 : Analysis Seminar: "A Disease Threshold: the Basic Reproduction Number"
- 2014-02-05 : Behind the biometry textbook: leveraging complex infectious disease data sets to investigage temporal heterogeneities by using non-standard models
- 2014-01-22 : Seminar: "An Informal Introduction to the VC Dimension"
- 2013-12-04 : Mathematics Seminar: "Introduction to the mathematical analysis of Irving-Kirkwood procedure"
- 2013-11-20 : Mathematics Seminar: "Compressed Sensing: an overview with some details"
- 2013-11-19 : Mathematics Education Seminar: "Chunky and Smooth Images of Change"
- 2013-11-13 : Mathematics Seminar: "Efficient Representations of Polytopes and Convex Sets"
- 2013-11-06 : Mathematics Analysis Seminar: "Quantum Unique Ergodicity"
- 2013-10-30 : Seminar: The Busemann-Petty problem in the complex hyperbolic space
- 2013-10-29 : Seminar: Partial solution to the Busemann-Petty problem in R^n for a particular class of bodies
- 2013-10-28 : Seminar: On the Busemann-Petty and related problem in R^n: A short introduction
- 2013-10-16 : Analysis Seminar: "From Hoeffdings Tail Inequality to Concentration of Measure"
- 2013-10-02 : Analysis Seminar: "Forward-backward equations"
- 2013-09-25 : Analysis Seminar: "The Simplicial Multiscale Flatnorm and Deformation Theorem"
- 2013-09-18 : Analysis Math Seminar:
- 2010-04-14 : Applied Math Seminar: Generalized Karamatas Theorem on Regular Variation
- 2010-04-07 : Applied Math Seminar: An Epidemic Model of H1N1 in Pullman in Fall 2009
- 2010-03-31 : Applied Math Seminar: Modeling Extinction Debt
- 2010-03-24 : Applied Math Seminar: A One-Dimensional Nonlinear Stability Analysis of Vegetative Pattern Formation for an ......
- 2010-03-10 : Applied Math Seminar: An Eigenvalue Problem for CurlCurl Operators
- 2010-03-03 : Applied Math Seminar: Equivalence of Two Forms of the Oldroyd-B Equations
- 2010-02-03 : Applied Math Seminar : Computation of the Distribution of the Maximum of Stationary Gaussian Processes
- 2010-01-27 : Applied Math Seminar : Comparison of Monte Carlo simulations of cytochrome b6f - experiment of Latin hypercube sampling
- 2010-01-20 : Applied Math Seminar : Maximizing the hyperpolarizability of molecules: one- vs. two-electron models in quantum mechanic
- 2009-12-09 : Applied Math Seminar: The Inverse Problem of Option Pricing in the Black-Scholes Model
- 2009-12-02 : Applied Math Seminar: A Review of Extinction Debt
- 2009-11-18 : Applied Math Seminar: The Effect of Vibration on Flow Rate of Non-Newtonian Flow
- 2009-11-02 : Applied Math Seminar: Modeling H1N1 Flu in Pullman: a Class Experiment
- 2009-10-28 : Applied Math Seminar: Flat norm computation using anisotropic approximations with application to shape classification
- 2009-10-21 : Applied Math Seminar: Estimating Dynamic Models With Basis Function Collocation
- 2009-10-14 : Applied Math Seminar: Operator Splitting Methods in Numerical Computations
- 2009-10-07 : Applied Math Seminar: Monte Carlo Simulation of the Q-Cycle Model of Electron Transport in Photosynthesis
- 2009-09-30 : Applied Math Seminar: When is Correlation Coevolution?
- 2009-09-23 : Applied Math Seminar: Francis Algorithm: Past, Present, and Future
- 2009-09-16 : Applied Math Seminar: modeling complex fluid structure interaction in sperm and ciliary motility.
- 2009-09-02 : Applied Math Seminar: Nonlinear stability analyses of vegetative pattern formation in an arid environment
- 2009-03-30 : Algebra Seminar: Finite Fields
- 2009-02-23 : Algebra Seminar
- 2009-02-09 : Algebra Seminar: Spectrally Arbitrary Sign Patterns over the Real and Complex Numbers
- 2009-02-02 : Algebra Seminar: Typing mathematics "on the fly" in MSWord 2007's Equation Editor
- 2008-11-10 : Algebra Seminar: Laser Guided Drilling
- 2008-11-03 : Algebra Seminar: Two Vertex Descriptors Based on Hosoya's Matching Descriptor Z(G).
- 2008-10-27 : Algebra Seminar: Category Theory
- 2008-10-20 : Algebra Seminar: On Categories
- 2008-10-13 : Algebra Seminar : Algebraic Aspects of the Quantum Mechanical Theory of Angular Momentum (continued)
- 2008-10-06 : Algebra Seminar : Algebraic Aspects of the Quantum Mechanical Theory of Angular Momentum
- 2008-09-22 : Algebra Seminar : The Long Reach of the Chinese Remainder Theorem (continued)
- 2008-09-15 : Algebra Seminar: The Long Reach of the Chinese Remainder Theorem
- 2008-09-08 : Algebra Seminar: Finite fields
- 2008-04-24 : Mathematics Department Scholarship and Research Awards Ceremony
- 2008-04-23 : Applied Math Seminar: A Stochastic Model of HIV Escape from the Cytotoxic T Lymphocyte Response
- 2008-04-16 : Applied Math Seminar: Why certain enzymes do not act like enzymes
- 2008-04-09 : Applied Math Seminar: On Demographic Heterogeneity and Persistence
- 2008-04-07 : Algebra Seminar: Soules Matrices and the Nonnegative Inverse Eigenvalue Problem
- 2008-04-02 : Applied Math Seminar: Predicting performance impairment under conditions of sleep deprivation, individualization and ...
- 2008-03-26 : Applied Math Seminar: A Discrete Model of Phase Transitions in Solids
- 2008-03-24 : Algebra Seminar: Sign patterns that allow eventual positivity
- 2008-03-16 : Algebra Seminar: Spectrally Arbitrary Patterns over the finite fields
- 2008-03-05 : Applied Math Seminar: Modeling Chemical Diffusion in a Lead Acid Battery
- 2008-03-03 : Algebra Seminar: Eventually Nonnegative Matrices
- 2008-02-25 : Algebra Seminar: Number e is not algebraic.
- 2008-02-13 : Applied Math Seminar: A computational parallel-plate rheometer
- 2008-02-04 : Algebra Seminar: On spectral properties of nonnegative and eventually nonnegative matrices
- 2008-01-30 : Applied Math Seminar: Evolving Metacommunities
- 2008-01-28 : Algebra Seminar: Algebraic Graph Theory
- 2008-01-23 : Applied Math Seminar: Non-uniform decay of predictability in stochastic oscillatory models
- 2008-01-16 : Applied Math Seminar: Monte-Carlo simulation of the Q-cycle model in photosynthesis
- 2007-12-03 : Algebra Seminar: Eventually Nonnegative Matrices
- 2007-11-28 : Applied Math Seminar: Cubature Formula for the Hypersphere
- 2007-11-26 : Algebra Seminar: Eventually nonnegative matrices and an application in aircraft dynamics
- 2007-11-14 : Algebra Seminar: Powerful Ray Patterns
- 2007-11-14 : Applied Math Seminar: Controllability Theory and Swimming Models
- 2007-11-07 : Applied Math Seminar: Modeling Curved Neck Muscle Paths
- 2007-11-05 : Algebra Seminar: Spectrally Arbitrary Patterns over the finite fields
- 2007-10-29 : Algebra Seminar:using properties of ideals in the ring of polynomials over the reals to find common roots of polynomials
- 2007-10-24 : Applied Math Seminar: Wildlife Habitat Management using Optimization
- 2007-10-17 : Applied Math Seminar: Predicting the potential impact of prophylactic and therapeutic herpes vaccines
- 2007-10-15 : Algebra Seminar: Lattices and Finite Commutative Groups
- 2007-10-10 : Applied Math Seminar: Viscosity, curvature and delay in a model of sperm motility
- 2007-10-08 : Algebra Seminar: Spectrally Arbitrary Zero-Nonzero Patterns
- 2007-10-03 : Applied Math Seminar: G-convergence as a tool for modeling of complex fluids.
- 2007-10-01 : Algebra Seminar: On the Peripheral Spectrum of a Nonnegative Matrix.
- 2007-09-26 : Applied Math Seminar: Lattice Rules for Multiple Integrals
- 2007-09-24 : Algebra Seminar: Nonnegative matrix theory over the Max Algebra
- 2007-09-19 : Applied Math Seminar: Neutral evolution of multiple quantitative traits
- 2007-09-17 : Algebra Seminar: Nonnegative Matrix Theory in the Max (Tropical) Algebra
- 2007-09-12 : Applied Math Seminar: Neutral evolution of multiple quantitative traits
- 2007-09-10 : Algebra Seminar: How to Latex your thesis
- 2007-09-05 : Applied Math Seminar: Nonlinear Stability Analyses of Pattern Formation on Solid Surfaces
- 2007-08-29 : Applied Math Seminar: The quantum harmonic oscillator
- 2007-08-27 : Algebra Seminar: Organizational Meeting
- 2007-08-22 : Applied Math Seminar: ORGANIZATIONAL MEETING
- 2007-04-26 : 2007 Mathematics Scholarship & Awards Ceremony
- 2007-04-24 : Algebra Seminar: A branch and bound algorithm and its implementation in MATLAB
- 2007-04-18 : Applied Math Seminar: Computing eigenvalues by bisection
- 2007-04-16 : Algebra Seminar: Proof of the Perron-Frobenius Theorem Part II
- 2007-04-10 : Applied Math Seminar: Conformational changes at the nucleotide site of myosin and kinesin motors
- 2007-04-09 : Algebra Seminar: A Family of Zero-Nonzero Patterns over the real numbers.
- 2007-04-05 : Post-Ostrom Seminar: On Boundary Layer Resonance
- 2007-04-04 : Applied Math Seminar: Quantum Mechanics: A Reality Stranger than Fiction
- 2007-04-02 : Algebra Seminar: Polynomials, generating functions, and lattice point counting
- 2007-03-28 : Applied Math Seminar: Hydrogeological Modeling of the Pullman-Moscow Basin Basalt Aquifer System, WA and ID
- 2007-03-26 : Algebra Seminar: Spectrally arbitrary zero-nonzero patterns over the finite fields
- 2007-03-19 : Algebra Seminar: The Perron-Frobenius Theorem
- 2007-03-05 : Algebra Seminar: Eigenvalue Distribution for Certain Ray Patterns
- 2007-02-28 : Applied Math Seminar: A discrete model of solid-solid phase transitions
- 2007-02-26 : Algebra Seminar: Spectral Properties of the Words in A and B
- 2007-02-14 : Applied Math Seminar: Framework Models of Ion Permeation
- 2007-02-07 : Applied Math Seminar: Simulations of a 3D Swimming Monotrichous Bacterial Model
- 2007-01-31 : Applied Math Seminar: Prediction of Enzyme Inhibition using Line-Walking Recursive Partitioning
- 2007-01-29 : Algebra Seminar: Properties and applications of the Kronecker productin solving matrix equations
- 2007-01-24 : Applied Math Seminar: Value-at-Risk: Yet Another Normal Integration Problem
- 2007-01-17 : Applied Math Seminar: Dynamics of Single-Occupancy Binding in a Bounded Domain
- 2006-12-06 : Applied Math Seminar: The Wellposedness of a 2-D Swimming Model
- 2006-12-04 : Algebra Seminar: spectrally arbitrary sign patterns over the finite fields
- 2006-11-27 : Algebra Seminar: Functions of Matrices and Linear Operators
- 2006-11-15 : Applied Math Seminar: Random Walk Simulation of the Q-cycle Model of Electron Transport in Photosynthesis
- 2006-11-13 : Algebra Seminar: Discrete Stage Structured Models
- 2006-11-08 : Applied Math Seminar: Averaging large systems of ODEs via mezoscopic continua
- 2006-11-06 : Algebra Seminar: The Discrete Age-Structured Population Growth Model
- 2006-11-03 : Inland Northwest Math Experience (IN ME) for High School Students
- 2006-11-02 : Inland Northwest Math Experience (IN ME) for Middle School Students
- 2006-11-01 : Applied Math Seminar: Using molecular simulation to elucidate mechanisms of biological electron transport
- 2006-10-30 : Algebra Seminar: Interval Matrices
- 2006-10-25 : Applied Math Seminar: Ranking of CASP6 Predictions Using Statistical Potentials
- 2006-10-23 : Algebra Seminar: The Cayley Transform
- 2006-10-18 : Applied Math Seminar: Simulating the Calvin Cycle of Photosynthesis
- 2006-10-16 : Algebra Seminar: Ideals, varieties, Grobner basis, and binary optimization
- 2006-10-11 : Applied Math Seminar: A Scoring function for mutagenesis in proteins
- 2006-10-09 : Algebra Seminar: Powerful and Non-powerful Ray patterns
- 2006-10-04 : Applied Math Seminar: Modeling sperm motility in viscous and viscoelastic environments
- 2006-10-02 : Algebra Seminar: A Family of Spectrally Arbitrary Patterns
- 2006-09-27 : Applied Math Seminar: The Simulation of the 3D Bacterial Model and Its Diversity
- 2006-09-25 : Algebra Seminar: The Peripheral Spectrum of a Nonnegative Matrix
- 2006-09-20 : Applied Math Seminar: SIMULATION FROM A NORMALLY WEIGHTED DIRICHLET DISTRIBUTION
- 2006-09-18 : Algebra Seminar: Robbing Stagecoaches and Listening in on Other Peoples Conversations
- 2006-09-13 : Applied Math Seminar:Modeling Cyclic Algae Population Dynamics:Analyzing a sunlight-dependent model for a lake algae
- 2006-09-06 : Applied Math Seminar: Looking for Better Molecules
- 2006-08-30 : Applied Math Seminar: A Habitat Connectivity Index with Application to Spatial Optimization
- 2006-04-26 : Applied Math Seminar: A Model for Granular Statics with Impenetrability Constraints
- 2006-04-20 : Annual Scholarships and Research Awards Ceremony
- 2006-04-19 : Applied Seminar: Steps toward an immersed boundary method for a viscoelastic fluid
- 2006-04-17 : Algebra Seminar: Interval P-Matrices
- 2006-04-12 : Applied Math Seminar: Solving Large Eigenvalue Problems of Quantum Physics by the Jacobi-Davidson Method
- 2006-04-05 : Applied Seminar:Definition of a three-body scoring function for fold-recognition using Delaunay tessellation of proteins
- 2006-04-03 : Algebra Seminar: Monday's Algebra Seminar
- 2006-03-29 : Algebra Seminar: Tropical mathematics and dynamic programming
- 2006-03-29 : Special Applied Math Seminar: MOLECULAR DYNAMICS SIMULATIONS OF CONFORMATIONAL CHANGES IN MOTOR PROTEINS
- 2006-03-23 : Post-Ostrom Seminar: New Results for Fractional Brownian Motion
- 2006-03-01 : Applied Math Seminar: Regularity of Solution for a p-curl System Arising from a Superconductor Model
- 2006-02-27 : Algebra Seminar: Sign Characteristic
- 2006-02-22 : Applied Math Seminar: A model for granular statics with impenetrability constraints
- 2006-02-15 : Applied Math Seminar: Propulsion and Rotation in the Swimming of a 3D Rod-Shaped Bacterium Model
- 2006-02-13 : Algebra Seminar: The Input-Output Economic Model
- 2006-02-08 : Applied Seminar: Stochastic Semidefinite Programming
- 2006-02-01 : Applied Seminar: The Evolution of Heritable Variation: Modeling Finite Multivariate Populations
- 2006-01-23 : Algebra Seminar: Organization Meeting
- 2006-01-18 : Applied Seminar: Effective adaptive constraints: defining evolution's nearly null space (continued)
- 2006-01-11 : Applied Seminar: Organizational Meeting
- 2006-01-09 : Combinatorial Geometry Seminar: Organizational Meeting
- 2005-12-01 : Algebra Seminar: Which zero-nonzero patterns are spectrally arbitrary patterns?
- 2005-11-30 : Applied Seminar: The motility of a 3D rod-shaped bacteria model
- 2005-11-17 : Algebra Seminar: Cayley Digraphs of Groups and Automorphism Groups of Graphs
- 2005-11-16 : Applied Seminar: Modeling Multiciliary Beating
- 2005-11-10 : Algebra Seminar: Braid Theory; Introduction to the Classical Braid Group
- 2005-11-09 : Applied Seminar: On de novo Analysis of Protein Tandem Mass Spectrometry Data
- 2005-11-03 : Algebra Seminar: L^p Spaces
- 2005-11-02 : Applied Math Seminar: Molecular dynamics simulations of a conformational change in actin
- 2005-10-27 : Algebra Seminar: A-Posteriori Error Bounds for Eigenvalue Perturbations
- 2005-10-19 : Applied Seminar: The Effect of Suspended Particles on the Stability of Rayleigh-Be'nard Convection in Gases
- 2005-10-13 : Algebra Seminar: Linear control theory and problems
- 2005-10-06 : Algebra Seminar: Preserver Properties of Principal Pivot Transforms
- 2005-10-05 : Applied Seminar: Excluded volume constraints: a simple model of granular statics
- 2005-09-29 : Algebra Seminar: Characterization of weakly uniform ray patterns in terms of products of semicycles
- 2005-09-28 : Applied Seminar: A model of robotic eel and geometric control
- 2005-09-22 : Algebra Seminar: Solving Polynomial Equations, Theory and Practice
- 2005-09-21 : Applied Seminar: Modeling flagellar motion
- 2005-09-15 : Algebra Seminar: Properties of Nonnegative Matrices
- 2005-09-14 : Applied Seminar: Effective adaptive constraints: defining evolution's nearly null space
- 2005-09-08 : Algebra Seminar: An Introduction to Problems and Results on Matrix Patterns
- 2005-09-07 : Applied Seminar: Single-Occupancy Binding in Simple Bounded and Unbounded Systems
- 2005-09-01 : Algebra Seminar: Characterization of weakly uniform ray patterns in terms of products of semicycles
- 2005-08-31 : Applied Seminar: My Recent Experiences with Quantum Mechanical Calculations
- 2005-04-27 : Applied Seminar: Simulation of Motility of Flagellar Bacteria
- 2005-04-25 : Algebra Seminar: An introduction to P-matrices with new results
- 2005-04-21 : Scholarships and Awards Ceremony
- 2005-04-20 : Applied Seminar: Nonlinear Stability Analysis of Rhombic Optical Pattern Formation in an Atomic Vapor Ring Cavity
- 2005-04-18 : Algebra Seminar: A Product Eigenvalue Algorithm for Unitary Hessenberg Matrices
- 2005-04-13 : Applied Seminar: An integer programming model for the de novo analysis of tandem mass spectrometry data
- 2005-04-11 : Algebra Seminar: Solving the Quartic: An Algebraic Method
- 2005-04-07 : College of Sciences Recognition Event
- 2005-04-06 : Applied Seminar: The Hilbert Uniqueness Method (HUM) and controllability
- 2005-04-04 : Algebra Seminar: Algebraic methods in integer programming
- 2005-03-31 : Post-Ostrom Seminar: Transient dynamics: the key to ecological understanding
- 2005-03-30 : Applied Seminar: The Hilbert Uniqueness Method (HUM) and controllability
- 2005-03-28 : Algebra Seminar: Computing All Principal Minors of a Matrix and the Related Inverse Problem
- 2005-03-23 : Pedagogy Seminar: Using the iterations and animation features
- 2005-03-23 : Applied Seminar: Analytic and Numerical Solutions to the Docking Problem
- 2005-03-21 : Algebra Seminar: The Numerical Range of a matrix and Non-Negative Matrices
- 2005-03-09 : Pedagogy Seminar: Workshop introducing the dynamic features of Geometer’s Sketchpad (GSP)
- 2005-03-09 : Applied Seminar: Random Walk Simulation of a Binding Site With Constrained Occupancy
- 2005-03-07 : Algebra Seminar: Eventually Nonnegative Matrices
- 2005-03-02 : Applied Seminar: New Solutions to the Classical N-Body Problem
- 2005-02-28 : Algebra Seminar: Algebra Seminar on Monday 28th
- 2005-02-23 : Applied Seminar: Concentration of probability measures and related inequalities
- 2005-02-16 : Applied Seminar: A microscale model of sperm motility
- 2005-02-14 : Algebra Seminar: More fun with Perron-Frobenius
- 2005-02-09 : Applied Seminar: Numerical analysis of the effects of mutations in reaction kinetic
- 2005-02-07 : Algebra Seminar: Characterization of irreducible powerful ray patterns in terms of powers
- 2005-01-31 : Algebra Seminar: Spectral Properties of Eventually Nonnegative Matrices
- 2005-01-26 : Pedagogy Seminar
- 2005-01-26 : Applied Seminar: Redundant mapping of morphology to biomechanics in coral reef fish skulls
- 2005-01-24 : Seminar: The Jordan Canonical Form in Theory and in Practice
- 2005-01-19 : Applied Seminar: Schauder's Fixed-Point Theorem and Applications
- 2004-11-05 : Inland Northwest Mathematical Experience (INME)
- 2004-11-04 : Inland Northwest Mathematics Experience (INME)
- 2004-11-03 : Applied Seminar: Controllability approach to swimming models
- 2004-01-14 : Pre-Ostrom Seminar: Generating Good Meshes; Inverting Good Matrices
- 2003-11-10 : Seminar: Learning to See Like a Mathematician: Lets look at mathematics a different way
- 2003-11-10 : Seminar: Learning to See Like a Mathematician: Lets look at mathematics a different way
- 2003-03-13 : Post-Ostrom Seminar: Realistic Models for Biological Invasion