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##### 2017-Bruce_Emerson-Wonderful World of Differential Equations
This is a terrific set of noted with models and applications woven into the material at every opportunity and data as well. This is introductory differential equations with attention to detail and motivation.
Newton's Second Law of MotionNewton's Law of CoolingreactionsPoiseuilleâ€™s Lawstopping distancerate of changeproblemsmodeling opportunities
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##### 2017-Brandi-Garcia-Motivating engineering students to math classes - Practical experience teaching ODEs
In this paper we propose an approach to teaching-learning process of mathematical concepts to engineering students with a motivational factor: a practical problem to be modeled in which students must apply concepts seen in class, in particular...
computational toolsteachingengineering studentspractical problem
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##### 2017-Bonin-EtAl-Mathematical modeling based on ordinary differential equations - promising approach to vaccinology
As a proof of concept, we developed a model of the immune response to vaccination against the yellow fever. Our simulations have shown consistent results when compared with experimental data available in the literature.
immune systemyellow fevercomputational immunologycomputational vaccinology
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##### 2017-Biswasa-EtAl-Mathematical Modeling Applied to Sustainable Management of Marine Resources
We study a nonlinear mathematical model of fishery management to understand dynamics of a fishery resource system in an aquatic environment that consists of two zones; one free fishing zone and another reserve zone where fishing is strictly...
natural resourcesmarine resourcesfishery model
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##### 2017-Ben_Finio-Science Buddies â€“ Linear & Nonlinear Springs Tutorial
This tutorial provides a basic summary of linear and nonlinear springs and their associated equations for force, stiffness, and potential energy.
spring massstiffnessspringspotential energyforcenonlinear springlinear spring
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##### 2017-ASHP-Intro to Pharmacokinetics and Pharmacodynamics
This is the introductory Lesson 1 in an online set of materials to introduce Pharmacokinetics and Pharmacodynamics.
absorptioncompartmentbloodstreamplasmapharmacokineticspharmacodynamicstherapeutic concentration rangedrug dispositiondrug response
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##### 2017-Andras_Domokos-Differential Equations - Theory and Applications â€“ Notes
This is a terrific set of notes with models and applications woven into the material at every opportunity and data as well. This is introductory differential equations with attention to detail and motivation.
Newton's Second Law of MotionNewton's Law of Coolingbiochemical reactionsPoiseuilleâ€™s Lawstopping distance
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##### 2017-Anders_Kallen-Single species models in continuous time
Part of a series of Lecture notes this lecture contains rich materials on logistic harvest models, spruce budworms, and chemostat.
chemostatlogisticharvestspruce budworm
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##### 2017-Allali-EtAl-Mathematical Modeling of the Adaptive Immune Responses in the Early Stage of the HBV Infection
The aim of this paper is to study the early stage of HBV infection and impact delay in the infection process on the adaptive immune response, which includes cytotoxic T-lymphocytes and antibodies.
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##### 2017-Alex_Honchar-Neural Networks For Solving Differential Equations
In this post I want to show how I applied simple feed-forward NNs to different differential equations with increasing complexity: ODEs, second order ODEs, and, finally, PDEs.
neural networksCybenko theoremdiffusion equationfluid dynamics
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##### 2017-Agmour-EtAl-Optimization of the Two Fishermen's Profits Exploiting Three Competing Species Where Prices Depend on Harvest
The main purpose of this work is to define the fishing effort that maximizes the profit of each fisherman, but all of them have to respect two constraints: the first one is the sustainable management of the resources and the second one is...
FishingharvestNash equilibriumoptimizeprofits
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The study of any phenomenon in the physical or biological sciences, in which continuity and differentiability assumptions about the quantities in question can be made, invariably leads to a differential equation, or a system of differential...
pendulumLotka Volterra equationsexistenceuniqueness
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##### 2016-Wilkie-EtAl-Using ODEs to Explore Cancer-Immune Dynamics and Tumor Dormancy
Here we present a general method using ordinary differential equations (ODEs) to model and analyze cancer-immune interactions, and in particular, immune-induced tumor dormancy.
cancertumor-inhibiting cytotoxic actiontumor-promoting inflammationimmune-induced tumor dormancytumor growth dynamics
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##### 2016-Starling-EtAl-Local Brewery - A Project for Use in Differential Equations Courses
We describe a modeling project designed for an ordinary differential equations (ODEs) course using first-order and systems of first-order differential equations to model the fermentation process in beer.
BEERFermentationbrewery
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