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Downloads
Views
Date
Relevance
Potential Scenario
162
views
47
downloads
0
comments
2013-Clarke-Skirba-Rationale and resources for teaching the mathematical modeling of athletic training and performance
It is advisable that the professionals involved learn the various tools available for designing effective training programs.
fitness
exercise physiology
critical power model
Banister impulse-response model
coaching education
physical fitness
performance modeling
Potential Scenario
182
views
50
downloads
0
comments
2012-Jambhekar-Breen-Extravascular Routes Of Drug Administration in Basic Pharamacokinetics
This provides an excellent step-by-step of the physiology, construction of model, and notions like peak concentration as well as issues like lag time.
concentration
physiology
drugs
lag time
Extravascular
Pharamacokinetics
peak time
Potential Scenario
142
views
59
downloads
0
comments
2006-Han-EtAl-Ordinary differential equation models for ethanol pharmacokinetic based on anatomy and physiology
Physiologically-based pharmacokinetic (PBPK) models have been used to describe the distribution and elimination characteristics of intravenous ethanol administration.
liverworts
intraveneous
pharmacokinetics
ethanol
ethanol infustion
pharmacodynamic
tissue model
Potential Scenario
135
views
51
downloads
0
comments
2007-Zenker-Rubin-Clermont-From inverse problems in mathematical physiology to quantitative differential diagnoses
The improved capacity to acquire quantitative data in a clinical setting has generally failed to improve outcomes in acutely ill patients, suggesting a need for advances in computer-supported data interpretation and decision making.
physiology
inverse problem
Potential Scenario
769
views
72
downloads
0
comments
2013-Fathalla_Rihan-Delay Differential Equations in Biosciences - Parameter estimation and sensitivity analysis
This is a review article to show that delay differential models have a richer mathematical framework (compared with models without memory or after-effects) and a better consistency with biological phenomena such dynamical diseases and cell growth...
epidemiology
sensitivity
Immunology
physiology
RK-methods
time-lags
Potential Scenario
276
views
75
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
204
views
57
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
142
views
63
downloads
0
comments
2008-Ribbing-EtAl-Mathematical models of diabetes progression
Writing a good model for diabetes progression is difficult because the long time span of the disease makes experimental verification of modeling hypotheses extremely awkward. underlying the
physiology
clinical trials
diabetes
diabetes progression
Potential Scenario
119
views
51
downloads
0
comments
2004-Aldo_Rescigno-On the use of pharmacokinetic models
In this paper I will define in a simple and logical way a set of useful pharmacokinetic parameters and show how their estimation depends on the assumed model.
compartment
steady state
pharmacokinetics
volume distribution
Modeling Scenario
298
views
270
downloads
0
comments
1-098-NeuronDetection-ModelingScenario
Students study a linear, first order, one-dimensional ordinary differential equation (ODE) and learn how it can help understand basics of neural dynamics. The modeling framework is known in mathematical neuroscience as ``integrate-and-fire''...
biology
neuroscience
neuron physiology
voltage
integrate and fire
threfhols
coincidence detection
RC circuit
Potential Scenario
170
views
45
downloads
0
comments
2013-Boscolo-Stellato-Undergraduate study of harmonic and parametric motion of a simple spring-mass system from motion waveforms
In this paper, we describe a laboratory exercise that caters to beginning students while giving those with more background an opportunity to explore more complex aspects of the motion.
laboratory
experiment
spring mass
air friction
apparatus
waveforms
Potential Scenario
158
views
69
downloads
0
comments
2017-William_Bialek-Boxes and Arrows To Differential Equations
This material uses pictures to build kinetic models of reactions and then offers analytic solutions.
Michaelis-Menten
Enzyme
substrate
DNA\kinetis
Potential Scenario
163
views
69
downloads
0
comments
2009-G_Recktenwald-Tank Draining Exercise
This paper describe deep mathematics, including differential equations concerned with modeling the draining of tank and the shape of the water coming out the bore hole at the bottom of the tank of water.
laboratory
tank
LabView
Bermoulli equation
empty draining
column of liquid
pressure
Potential Scenario
103
views
38
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
153
views
62
downloads
0
comments
1984-Marguerite_Hays-Compartmental Models for Human Iodine Metabolism
Compartmental models for the various aspects of human iodine metabolism are reviewed, emphasizing the role of Mones Berman in the development of this field.
compartment model
iodine
thyroid
Modeling Scenario
268
views
115
downloads
0
comments
3-085-SimplePendulum-ModelingScenario
Thestudent is asked to derive and solve a differential equation that gives the position (angle
Newton's Second Law of Motion
pendulum
kinetic energy
potential energy
Conservation of Energyt
initial conditions
small angle approximation
Taylor polynomial
percent error
Modeling Scenario
168
views
86
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
127
views
68
downloads
0
comments
2000-deOlivera-Delfino-Costa-Leite-Pinhole Water Flow From Cylindrical Bottles
The water flowing from the first bottle feeds the second one located below it. The same concepts of mass and energy conservation now lead to a non-trivial differential equation for the lowest bottle dynamics.
Torricelli's Law
Conservation of Energyt
Conservation of Mass
Bernoulli’s Theorem
Modeling Scenario
348
views
542
downloads
0
comments
1-082-MirroMirror-ModelingScenario
This project models the ``Foucault Knife Edge Test,'' an optical test commonly used by amateur astronomers who make their own mirrors for reflecting telescopes. The goal of the test is to estimate the shape of the surface of a mirror from optical...
astronomy
mirror climate change mitigation ocean deacidification
optics
telescope
lens
Foucault
interpolation
Modeling Scenario
335
views
149
downloads
0
comments
1-105-AnimalFall-ModelingScenario
This project uses Newton's Second Law of Motion to model a falling animal with a resistance term proportional to cross sectional area of the animal, presumed to be spherical in shape.
animal
Netwon's Second Law of Motion
falling body
terminal velocity
air resistance
Newton
air friction
fall
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