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Downloads
Views
Date
Relevance
Free Online Textbook
387
views
84
downloads
0
comments
2012-Brian_Ingalls-Mathematical Modelling in Systems Biology An Introduction
This is a comprehensive text with much biology background to motivate the mathematical modeling, exercises and answers, and many rich examples.
spatial
sensitivity analysis
gene regulatory networks
stochastic
bifurcation
metabolic networks
electrophysiology
transduction
rate laws
biochemical reactions
Modeling Scenario
348
views
225
downloads
0
comments
5-076-LanchesterLaws-ModelingScenario
Lanchester's laws are used to calculate the relative strengths of military forces. The Lanchester equations are differential equations describing the time dependence of two armies' strengths A and B as a function of time,
Lanchester's laws
sensitivity analysisanalysis
Article or Presentation
163
views
412
downloads
1
comments
2020-TeachingModule-ModelingFallingColumnOfWater
We discuss how to model a falling column of water empirically and analytically from first principles in physics laws.
module
column of water
Torricelli's Law
Torricelli
Teaching Module
Potential Scenario
135
views
52
downloads
0
comments
2007-I-Liang_Chern-Mathematical Modeling and Differential Equations
In this course, I will mainly focus on, but not limited to, two important classes of mathematical models by ordinary differential equations: • population dynamics in biology • dynamics in classical mechanics.
population dynamics
ecology
dynamics
classical mechanics
chemical reaction
Potential Scenario
156
views
55
downloads
0
comments
2017-D_Goulet-Modeling, Simulating, and Parameter Fitting of Biochemical Kinetic Experiments
In many chemical and biological applications, systems of differential equations containing unknown parameters are used to explain empirical observations and experimental data. The differential equations are typically nonlinear.
optimization
Biochemistry
sensitivity analysis
chromatography
mass action
cluster analysis
conservation laws
dimerization
estrogen receptor protein
Potential Scenario
125
views
35
downloads
0
comments
2010-Singh-Mishra-athematical modeling approach to study growth rate of grassroots technological innovations
In this paper we have proposed a simple mathematical model by using ordinary differential equation to know the spread rate of technological innovations in rural India.
logistic
exponential
sigmoid
technological innovations
asymptotic
spread of innovation
Potential Scenario
224
views
43
downloads
0
comments
1989-EY_Rodin-K_Egan-Mathematics modelling of the rate of chemical reactions
The development of improved designs for chemical reactors as well as the prediction of optimal operating conditions in chemical production are based on an understanding of the rates at which chemical processes occur.
kinetics
first order
reaction
second order
zeroth order
Modeling Scenario
185
views
546
downloads
0
comments
1-124-WorldPopulation-ModelingScenario
We build models of world population using data to estimate growth rate.
population dynamics
human
growth rate
varying growth rate
Modeling Scenario
323
views
234
downloads
0
comments
1-026-Evaporation-ModelingScenario
We provide data on evaporation of 91% isopropyl alcohol in six different Petri dishes and one conical funnel and on evaporation of water in one Petri dish. We ask students to develop a mathematical model for the rate of change in the respective...
evaporation
cone
alcohol
Petri dish
Potential Scenario
85
views
35
downloads
0
comments
2012-Shargel-Yu-AccessPharmacy-Applied Biopharmaceutics and Pharmacokinetics
Step by step formation of drug absorption models is shown with many good graphics of system and plots. Solutions are offered but no solution methods are shown.
Michaelis-Menten
Enzyme
substrate
compartment
pharmacokinetics
rate constant
urinary data
absorption rate
Potential Scenario
222
views
35
downloads
0
comments
2009-Das-EtAl-Bioeconomic harvesting of a pre-predator fishery
This paper deals with the problem of non-selective harvesting of a prey–predator system by using a reasonable catch-rate function instead of usual catch-per-unit-effort hypothesis.
predator-prey
harvesting
Pontryagin’s maximum principle
bioeconomic
bionomic equilibrium
biotechnical productivity
catch-rate function
optimal equilibrium
Potential Scenario
156
views
56
downloads
0
comments
2005-DieboldEtAl-Modeling Bond Yields In Finance And Macroeconomics
From a macroeconomic perspective, the short-term interest rate is a policy instrument under the direct control of the central bank. From a finance perspective, long rates are risk-adjusted averages of expected future short rates.
finance
interest rate
bond yield
macroeconomics
Potential Scenario
176
views
60
downloads
0
comments
1957-Axelrod_ Brady_Witkop_Evarts-The Distribution and Metabolism of Lysergic Acid Diethylamide
The development of a specific and sensitive method for the estimation of LSD in biological materials has enabled us to study the tissue distribution, excretion, rate of biotransformation, and metabolism of the drug, as well as the subcellular...
mathematical model
data
LSD
Metabolism
bloodstream
lysergic acid diethylamide
distribution
Modeling Scenario
330
views
267
downloads
0
comments
7-040-TankInterruptMixing-ModelingScenario
We present a first order differential equation model for the interrupted mixing of a tank with salt water. We offer two solution strategies (1) two step approach and (2) Laplace Transforms.
Laplace transform
inverse Laplace Transform
salt
tank
mixing
interrupt
Modeling Scenario
249
views
156
downloads
0
comments
1-085-DrugBolus-ModelingScenario
Given data on the concentration of a drug in the plasma of a human in mg/L at certain time intervals in hours can we determine the rate at which the drug leaves the plasma as well as the initial amount administered in a intravenous bolus of the drug?
concentration
sum of square errors
bolus
drug
rate constant
administer
Free Online Textbook
113
views
55
downloads
0
comments
2017-Russell+Herman-A_First_Course_in_Differential_Equations_for_Scientists_and_Engineers
This is a self-published text book with excellent coverage and solid mathematics and theory to support applications.
textbook
engineering
applications
Modeling Scenario
208
views
411
downloads
0
comments
3-076-CircuitBuilding-ModelingScenario
In this project students will establish a mathematical model for an electric circuit as a second-order ordinary differential equation with constant coefficients.
simulation
experiment
Multisim
circuit
inductance
capacitor
Kirchhoff's Voltage Law
resistor
Modeling Scenario
137
views
56
downloads
0
comments
1-036-NeutralBuoyancy-ModelingScenario
An object may hang suspended at, say, ten foot depth in a column of water if at ten feet underwater the density of the object equals the density of water. We study this phenomenon
Density
buoyancy
Archimedes’ Principle
float
neutral buoyance
Potential Scenario
646
views
61
downloads
0
comments
2018-Franklin_Chen-Teaching Kinetics through Differential Equations Constructed with a Berkeley MadonnaTM Flow Chart Model
This kinetics manual has been successfully implemented in Physical Chemistry at UW-Green Bay in the fall semester of 2017, with the students’ success rate greater than 80%.
kinetics
Physical Chemistry
Lotka Volterra equations
Berkeley Madonna platform
Potential Scenario
116
views
35
downloads
0
comments
2010-Del-Ciello-EtAl-Modeling Disease
We model the transmission of a disease through a population. Such modeling is very important to the study of epidemiology and the practice of medicine.
disease
spread
carries
symptomatic
asymptomatic
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