Demonstrations to run with Mathematica® or Wolfram CDF Player®

This page contains links to 85 free demonstrations downloadable from the Wolfram Demonstrations Project web site. Demonstrations contain active controls and run in Mathematica or right in your web browser after installation of the free Wolfram CDF Player application. For more information on Mathematica visit the Wolfram Research web site at: http://www.wolfram.com/.

For more information on the models see: Peleg, M. 2006. Advanced quantitative microbiology for food and biosystems: Models for predicting growth and inactivation. CRC Press, Boca Raton FL. (Click to download a 452K PDF file containing contents description.)

Heat Transfer

Estimating the Thermal Properties of Foods from their Moisture Contents
Heat Transfer in a Heat Exchanger
Logarithmic Mean Temperature of a Heat Exchanger
Steady State Heat Transfer Through an Insulated Wall
Stefan-Boltzmann Law

Kinetics: Microbial, Chemical and Biochemical

Growth
Generalized Logistic (Verhulst) Isothermal Microbial Growth on Linear and Logarithmic Coordinates
Modified Logistic Isothermal Microbial Growth Ratio (Linear and Logarithmic) vs. Time
Ratio-Based Modified Logistic Isothermal Microbial Growth on Linear and Logarithmic Coordinates
Uncertainties in Isothermal Microbial Growth

Microbial Inactivation
Equivalent Isothermal Time at a Reference Temperature as a Function of Time
Extracting Microbial Inactivation Parameters from Final Isothermal Survival Ratios [NEW icon]
Idealized Conventional and Pressure-Assisted Thermal Preservation Processes
Injury in Microbial Inactivation [NEW icon]
Log Survival Ratio as a Function of Time
Microbial Survival with Dissipating Disinfectant
Sigmoid Microbial Survival Curves
Simulating Temperature versus Time Relationships in the Thermal Preservation of Foods
Survival Curves of Bacilli Spores with an Activation Shoulder
Uncertainties in Isothermal Microbial Inactivation
Weibullian Inactivation Rate as a Function of Temperature
Weibullian Inactivation Rate as a Function of Time

Mixed Kinetics
Biphasic Exponential Decay And Growth
DeNovo Growth Processes With Competing Mechanisms
Effects of Temperature Fluctuations on Oscillating Biological Systems
Incipient Growth Processes With Competing Mechanisms
Microbial Population Growth, Mortality and Transitions Between Them
Synergism and Antagonism

Mass Balance, Heat Balance, Pressure Balance and Flow

Compressive Stress-Strain Relationships of Layered Solid Foams
Dehydration by a Desiccant
Dynamic Water Absorption by Foods
Equivalent Length of a Pipe with Fittings and Valves
Flow from a Tank at Constant Height
Flow Curves of a Herschel-Bulkley Fluid
Food Calories
Force to Overcome Vacuum Pull
Frictional Pressure Drop in a Pipe
Heat Balance in Freezing and Thawing Food
Lubricated and Frictional Squeezing Flow
Mass Balance in a Single Stage Evaporator
Mass Balance of Binary Mixtures
Milk Centrifugation To Cream and Skim
Operation of an Ideal Belt Conveyor
Refrigeration Cycle Coefficient of Performance
Three Component Food Mixtures

Mathematical Functions and Miscellaneous

2D and 3D Packard-Takens Autocorrelation Plots of Sinusoidal Functions
Arrhenius Equations for Reaction Rate and Viscosity
Arrhenius versus Exponential Model for Chemical Reactions
Arrhenius Versus Eyring-Polanyi Model [NEW icon]
Bimodal Normal Distribution Mixtures
Central Limit Theorem Applied to Samples of Different Sizes and Ranges
Characteristic Times in Accumulation and Decay
Choosing Initial Parameter Values for Nonlinear Regression
Comparing Measures of Line Jaggedness
Creep and Stress Relaxation for Four Element Viscoelastic Solids and Liquids [NEW icon]
Distribution of the Means of Samples Having Random Sizes
Expanded Magnitude Estimation Method
Eyring-Polanyi versus Exponential Model for Chemical Reactions
Five Definitions of Strain for Large Deformations
Line Jaggedness Visualization with the Mandelbrot-Weierstrass Function
Mechanical Sensitivity of Soft Testing Machines
Noise Retrieval from Averaged Sequences
Relaxation of a Maxwell Element
Three Element Viscoelastic Models
Williams, Landel, and Ferry Equation Compared with Actual and "Universal" Constants [NEW icon]

Particulates

Bimodal Size Distributions in Grinding and Attrition
Comparison of Food Moisture Sorption Isotherm Equations
Container Filled with Particulates
Equilibrium Water Activity of Binary Dry Mixtures
Erosion Index For Particulates [NEW icon]
Principal Stresses in Compacted Cohesive Powders
Surface Area Increase by Size Reduction
The Ratio of Surface Area to Volume for a Cube and a Sphere
Volume and Mass of a Spoonful of Powder

Risk Assessment

A Probabilistic Model for Population Extinction
Additive and Multiplicative Risks
Assessing Total Risk from Interacting Factors
Estimation of Time to Excessive Microbial Count
Estimating the Time between Mishaps from Quality Control Data
Expanded Fermi Solution for Estimating a Complaint's Probability
Expanded Fermi Solution for Risk Assessment
Expanded Fermi Solutions in Pathogens' Dose-Response Curves
Expanded Fermi Solution to Retrodict the Initial from the Final Number in a Stochastic Process
Failure Probabilities from Quality Control Charts
Pathogen Dose-Response Curves with the Beta Poisson and Lognormal Models
Simulating Microbial Count Records with an Expanded Fermi Solution Model

[Return to ] Prof. Micha Peleg

Links to four additional Demonstrations are available here --> [Return to ] Mark D. Normand

[Return to ] UMass Department of Food Science

[Return to ] University of Massachusetts at Amherst

Content last updated: May 3, 2013