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## Resources

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Potential Scenario
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##### 2004-Jones-Song-Thomas-Controlling wound healing through debridement
In this article, a system of differential equations that models slough/wound interaction is developed.
bacteriawound healinghealingderidingisocline
Potential Scenario
20

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9

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##### 2004-Hill-Lozowski-Sampson-Experiments on ice spikes and a simple growth model
We observed ice-spike growth using time-lapse digital photography, using two water types in two different containers.
iceice spikebulk heat transfermass conservation
Potential Scenario
16

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8

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##### 2004-Denny-Yackel-Temperature Models for Ware Hall
This paper offers some very nice extended models for cooling off a new office area for a mathematics department.
Newton's Law of Coolingcoolingoffice building
Potential Scenario
27

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13

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##### 2004-Charalampos_Toumasis-A mathematical diet model
This article describes an application of simple differential equations in the field of dietetics as it may be presented to a calculus class or a high school mathematics club.
dietdietetics
Potential Scenario
24

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6

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##### 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.
Potential Scenario
59

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16

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##### 2003-Yildirim-Mackey-Feedback Regulation in the Lactose Operon
A mathematical model for the regulation of induction in the lac operon in Escherichia coli is presented.
mRNAlactoselactose operonfeedback regulation
Potential Scenario
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##### 2003-Richard-Carson-Tracer kinetic modeling in PET
The use of radiopharmaceuticals and the imaging of their biodistribution and kinetics with modern instrumentation are key components to successful developments in PET.
Potential Scenario
49

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10

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##### 2003-Rasmussen-Keynes-Lines of Eigenvectors and Solutions to Systems of Linear Differential Equations
The purpose of this paper is to describe an instructional sequence where students invent a method for locating lines of eigenvectors and corresponding solutions to systems of two first order linear ordinary differential equations with constant...
instructional designeigenvalueseigenvalue analysis
General Resource
42

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12

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##### 2003-Knorrenschild-Gross-Text Books on Mathematical Modeling in Biology
Text Books on Mathematical Modeling in Biology Compiled from the Internet by Michael Knorrenschild,
biologyMathematical Biologytextbooktext
Potential Scenario
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##### 2003-Givens-Bonfima-Direct observation of normal modes in coupled oscillators
We propose a simple and inexpensive method to directly observe each normal mode of a system of coupled oscillators, as well as to measure its corresponding frequency, without performing Fourier analysis or using expensive apparatus.
frequencyresonancecoupled oscillator
Potential Scenario
26

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##### 2003-Fay-Graham-Coupled spring equations
Coupled spring equations for modelling the motion of two springs with weights attached, hung in series from the ceiling are described.
massoscillationspring\coupled springsperiodicfporcing
Potential Scenario
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##### 2003-Bohren-Dimensional analysis-falling bodies--fine art of not solving differential equations
Dimensional analysis is a simple, physically transparent and intuitive method for obtaining approximate solutions to physics problems, especially in mechanics.
falling bodydimensional analysisdrag
Potential Scenario
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##### 2002-Ragnar-Norberg-Basic Life Insurance Mathematics
Presents fundamentals of life insurance, mortality, savings, banks, finance, reserves, pensions, stochastic processes.
financestochastic processessavingslife insurancebanksreservespensionsmortality
Potential Scenario
63

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17

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##### 2002-Nelson-Perelson-Mathematical analysis of delay differential equations models of HIV-1 infection
We develop and analyze a set of models that include intracellular delays, combination antiretroviral therapy, and the dynamics of both infected and uninfected T cells.
infectionHIVT cells
Potential Scenario
26

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15