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Downloads
Views
Date
Relevance
Potential Scenario
127
views
35
downloads
0
comments
1999-Kowalczyk-Hausknecht-Using DEs To Model Real World Data
With the increasing availability of easy to use interactive differential equation software, we convinced ourselves to completely redesign the way we teach differential equations.
circuit
Torricelli's Law
Hooke's Law
RC circuit
harmonic oscillator
glucose
glucose tolerance test
Potential Scenario
179
views
40
downloads
0
comments
1999-Khorasheh-Ahmadi-Gerayeli-Application of Direct Search Optimization for Pharmacokinetic Parameter Estimation
For simple pharmacokinetic compartmental models, analytical solution to the governing differential equations provide a mean to evaluate the associated rate constants. Such methods, however, can not be used used for more complex multi-compartment...
sum of square errors
least squares
pharmacokinetics
lineteics
compartmental models
direct search
Potential Scenario
135
views
44
downloads
0
comments
1997-Bonnie_Shulman-Using Original Sources to Teach the Logistic Equation
This Module uses original data, diagrams, and texts from three original sources to develop the logistic model of growth in natural systems with limited resources.
logistic
original source
Potential Scenario
463
views
42
downloads
0
comments
1993-Paul_Blanchard-Teaching Differential Equations With a Dynamical Systems Viewpoint
This is an early discourse on the dynamical system view point of teaching differential equations with a number of rich illustrations.
dynamical systems
Potential Scenario
191
views
47
downloads
0
comments
1967-JG-Wagner-Computers in pharmacokinetics
This is a seminal paper in pharmacokinetics in which the author introduces historic notions and approaches. As can be seen from the abstract there is a variety of material here.
kinetics
computers
pharmacokinetics
Potential Scenario
147
views
39
downloads
0
comments
2014-Chivers-EtAl-Predator-prey systems depend on a prey refuge
We present an agent-based model which does not require the factors or constraints of previous models to reproduce all six patterns in persistent populations.
Individual & Agent Based Modeling
predator-prey
think-pair-shares
lynx
refuge
prey switching
Mustela-Clethrionomys system
patter oriented
Potential Scenario
164
views
22
downloads
0
comments
2014-John_Cain-Chemical Reaction Kinetics Mathematical Underpinnings
The usual way of deriving kinetic equations involves application of the principle of conservation of mass in conjunction with the law of mass action. Here, examples of kinetic models for several basic processes are discussed.
kinetics
biochemical reaction
reactants
products
Potential Scenario
120
views
30
downloads
0
comments
2014-Brun-EtAl-An introduction to the mechanics of the lasso
Here, we study the mechanics of the simplest rope trick, the Flat Loop, in which the rope is driven by the steady circular motion of the roper’s hand in a horizontal plane.
bifurcation
motion
lasso
rod model
rodeo
Potential Scenario
163
views
46
downloads
0
comments
2014-Bozkurt-Peker-Mathematical modelling of HIV epidemic and stability analysis
A nonlinear mathematical model of differential equations with piecewise constant arguments is proposed. This model is analyzed by using the theory of both differential and difference equations to show the spread of HIV in a homogeneous population.
disease
logistic
HIV
piecewise constant
India
Potential Scenario
214
views
59
downloads
0
comments
2014-Blomhøj-EtAl-Compartment models
An overview of compartment models with many rich illustrations and much attention to various numerical methods in solutions of the resulting differential equations using Matlab. Also included is a section on the limitations of compartment models.
concentration
kinetics
physiology
compartment
salt
tank
balance
reactions
mink
bathtub
Potential Scenario
228
views
39
downloads
0
comments
2006-Juska-Gedminiene-Ivanec-Growth of Microbial Populations-Mathematical Modeling-Laboratory Exercises-Model-Based Data Analysis
The aim is to teach the students to use a fresh approach to the problems they are familiar with, to come up with an articulate verbal model after a mental effort, to express it in rigorous mathematical terms, to solve (with the aid of computers).
population growth rate
logistic equation
Verhulst equation
generation time
lag time
Potential Scenario
168
views
47
downloads
0
comments
2004-Mitchell-von Meien-Krieger-Dalsenter-A review of recent developments in modeling of microbial growth kinetics
Mathematical models are important tools for optimizing the design and operation of solid-state fermentation (SSF) bioreactors. Such models must describe the kinetics of microbial growth.
Filamentous Fungi
solid-state fermentation
growth kinetics
diffusion-reaction
oxygen transfer
Potential Scenario
169
views
33
downloads
0
comments
2012-Greer-Palin-Students in Differential Equations and Epidemiology Model a Campus Outbreak of pH1N1
We describe a semester-long collaboration between a mathematics class and a biology class. Students worked together to understand and model the trajectory of the pandemic H1N1, pH1N1, outbreak across campus in fall 2009.
H1N1
pandemic
spread
outbreak
pH1N1
Potential Scenario
156
views
34
downloads
0
comments
1991-Thoddi_Kotiah-Difference and differential equations in the mathematics of finance
Many problems arising in the mathematics of finance involve identical money flows at regular time intervals and are typically solved by appropriate valuation at a focal date or by setting up an equation of value.
finance
savings
growth fund
interest
mortgage
annuity
depreciation
Potential Scenario
115
views
43
downloads
0
comments
1991-JR_Lobry-P_Flandois-Comparison of Monod's Growth Model Parameters from the Same Data Set
The paper obtains the parameters in Monod's Growth model using a minimization of the sum of square errors with a given data set and obtains confidence intervals
Confidence intervals
sum of square errors
linearization
growth
Modo Growth model
Potential Scenario
110
views
40
downloads
0
comments
1989-EY_Rodin-S_Jaques-Countercurrent Oxygen Exchange in the Swim Bladders of Deep-Sea Fish
Oxygen diffuses from lungs into blood, nutrients diffuse from intestinal tracts into blood and from blood into various cells, and waste products diffuse from cells back into blood.
fish
Cell Membrane
flow
blood
bladder
countercurrent
Potential Scenario
94
views
44
downloads
0
comments
1987-Claude-Marmasse-Studies on differential equations of enzyme kinetics-Biomolecular scheme
The integral curve is compared with the solutions given by the two classical approximations to the problem: it is shown that the steady-state approximation is to be preferred to the rapid equilibrium theory as a general method.
steady-state model
isoclines
enzyme kinetics
Potential Scenario
177
views
39
downloads
0
comments
1986-Istvan_Gyori-Connections between compartment systems pipes and integro-differential equations
In this paper we give the mathematical description of models in which the mass transport between compartments requires a given definite time or transit times are distributed according to given probability distribution functions.
physiology
pipeline
compartment
blood
circulation
integro-differential equation
Potential Scenario
110
views
31
downloads
0
comments
1984-W_Brunner-D__Focht-Deterministic Three-Half-Order Kinetic Model for Microbial Degradation
The kinetics of mineralization of carbonaceous substrates has been explained by a deterministic model which is applicable to either growth or nongrowth conditions in soil.
kinetics
nonlinear regression
sum of square errors
Monodlinearize
mineralization
substrates
carbonaceous
Potential Scenario
95
views
31
downloads
0
comments
1977-HI_Freedman-P_Whitman-Mathematical models of population interactions with dispersal
A system of differential equations is proposed as a model of dispersion between two populations in habitats separated by a barrier.
predator
barrier
two populations
two habitats
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