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Downloads
Views
Date
Relevance
Potential Scenario
123
views
44
downloads
0
comments
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 system
yellow fever
computational immunology
computational vaccinology
Potential Scenario
127
views
65
downloads
0
comments
2016-Bonin-EtAl-Mathematical modeling based on ordinary differential equations-vaccinology
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.
Immunology
immune system
Antigen
vaccinology
yellow fever
Potential Scenario
698
views
63
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
Free Online Textbook
111
views
47
downloads
0
comments
2009-Eriksson- Estep-Hansho-Johnson-Computational Differential Equations
Differential Equations and Advanced Computational Differential Equations, presents a unified approach to computational mathematical modeling using differential equations based on a principle of a fusion of mathematics and computation.
Galerkin
Potential Scenario
120
views
65
downloads
0
comments
2015-The European Bioinformatics Institute-BioModels Database
BioModels Database is a repository of computational models of biological processes. Models described from literature are manually curated and enriched with cross-references.
computational biology
BioModels Database
bio database
life science experiments
Potential Scenario
208
views
51
downloads
0
comments
2011-Radouane_Yafia-A Study of Differential Equations Modeling Malignant Tumor Cells in Competition with Immune System
In this paper, we present a competition model of malignant tumor growth that includes the immune system response. The model considers two populations: immune system (effector cells) and population of tumor (tumor cells).
Immunology
tumor
hopf bifrucation
Potential Scenario
128
views
39
downloads
0
comments
1999-Peter_Deuflhard-Differential Equations in Technology and Medicine
It deals with a variety of challenging real life problems selected from clinical cancer therapy, communication technology, polymer production, and pharmaceutical drug design.
cancer
design
tumor
drug
polymer
therapy
Potential Scenario
102
views
38
downloads
0
comments
2010-Shianga-EtAl-Computational model of the human glucose-insulin regulatory system
A computational model of insulin secretion and glucose metabolism for assisting the diagnosis of diabetes mellitus in clinical research is introduced. The
glucose tolerance test
sum of squared residuals
multiple shooting method
cost function
Free Online Textbook
111
views
44
downloads
0
comments
2015-H_Sayama-Intro to Modeling and Analysis of Complex Systems
Introduces students to mathematical/computational modeling and analysis developed in the emerging interdisciplinary field of Complex Systems Science.
textbook
text
Potential Scenario
111
views
54
downloads
0
comments
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 tools
teaching
engineering students
practical problem
Article or Presentation
136
views
61
downloads
0
comments
2015-European_Bioinformatics_Institute-Bio-Models-Database
Bio Models Database is a repository of computational models of biological processes. Models described from literature are manually curated and enriched with cross-references. All models are provided in the Public Domain.
biology
database
bioinformatics
Models
computational models
Potential Scenario
118
views
60
downloads
0
comments
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 networks
Cybenko theorem
diffusion equation
fluid dynamics
Free Online Textbook
118
views
39
downloads
0
comments
2012-Brian_Ingalls-Mathematical_Modelling_in_Systems_Biology
This text provides an introduction to dynamic mathematical modeling of cellular processes. The emphasis is on using computational tools to investigate models of cellular phenomena.
biology
gene regulatory networks
Models
metabolic networks
signal transduction pathways
electrophysiology
Modeling Scenario
275
views
248
downloads
0
comments
6-002-EulerCromerPendulum-ModelingScenario
This activity introduces students to the concept of numerical stability. While modeling a simple pendulum, students compare performance of the semi-implicit Euler-Cromer method with Euler's method and the higher-order Improved Euleror algorithm.
pendulum
semi-implicit methods
Euler-Cromer
numerical solvers
Potential Scenario
144
views
46
downloads
0
comments
2017-Sim-EtAl-Optimal control of a coupled tanks system with model-reality differences
In this paper, an efficient computational approach is proposed to optimize and control a coupled tanks system.
optimal control
flow
tanks
coupled tanks
Potential Scenario
147
views
42
downloads
0
comments
2018-Nyanginja-Angwenyi-Musyoka-Orwa - Mathematical modeling of the effects of public health education on tungiasis
In this paper, we formulate and study a mathematical model for the dynamics of jigger infestation incorporating public health education using systems of ordinary differential equations and computational simulations.
disease
endemic
reproduction number
tungiasis
jigger infestation
Potential Scenario
116
views
40
downloads
0
comments
2008-William_Revelle-Cues Tendencies and Actions-The Dynamics of Action Revisited
This article describes a reparameterization of the original theory of dynamics of action and applies the power of simple modeling to the study of action, emotions, and social behavior.
psychology
task reference
achievement motivation
dynamics of action
Potential Scenario
93
views
38
downloads
0
comments
2007-Bellomo-De_Angelis-Delitala-Lecture Notes on Mathematical Modelling in Applied Sciences
The Lectures Notes correspond to the first part of the course devoted to modelling issues to show how the application of models to describe real world phenomena generates mathematical problems to be solved by appropriate mathematical methods.
spring mass
Legendre polynomials
integro-differential equations
kinetic theory
Technique Narrative
765
views
176
downloads
0
comments
5-010-MatrixExponential-TechniqueNarrative
The matrix exponential is a powerful computational and conceptual tool for analyzing systems of linear, constant coefficient, ordinary differential equations (ODE's). This narrative offers a quick introduction to the technique, with examples and...
matrix esponential
Putzer's Algorithm
diagonalization
eigenvalues
eigenvectors
Technique Narrative
374
views
122
downloads
0
comments
2-005-LinearizeItAll-TechniqueNarrative
Linear approximations are often used to simplify nonlinear ordinary differential equations (ODEs) for ease in analysis. The resulting linear approximation produces an ODE where closed form solutions may be obtained.
computation
error
Torricelli's Law
data fitting
linear approximation
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