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Views
Date
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Free Online Textbook
143
views
70
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
145
views
64
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
Free Online Textbook
148
views
51
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
Potential Scenario
148
views
81
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
152
views
48
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
269
views
72
downloads
0
comments
2020-Stepien_Kostelich_Kuang-Mathematics Cancer An Undergraduate Bridge Course in Applied Mathematics
Most undergraduates have limited experience with mathematical modeling. This paper describes a course on the mathematical models of cancer growth and treatment.
differential equations
modeling
undergraduate education
cancer
tumor
Article or Presentation
167
views
86
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
146
views
92
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
Technique Narrative
865
views
223
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
Potential Scenario
110
views
49
downloads
0
comments
2015-Cano-EtAl-Bringing partial differential equations to life for students
This work describes how to use an authoring tool, Easy Java Simulations, to build interactive simulations using FreeFem++ (Hecht F 2012 J. Numer. Math. 20 251) as a PDE solver engine.
Java Simulation
FreeFem
authoring tools
authoring methods
physical modelling
classroom teaching
Potential Scenario
209
views
50
downloads
0
comments
2004-Mitchell-von Meien-Krieger-Dalsenter-A review of recent developments in modeling of microbial growth kinetics
Mathematical models are important tools for optimizing the design and operation of solid-state fermentation (SSF) bioreactors. Such models must describe the kinetics of microbial growth.
Filamentous Fungi
solid-state fermentation
growth kinetics
diffusion-reaction
oxygen transfer
Technique Narrative
373
views
192
downloads
0
comments
1-030-RandomPerturbation-TechniqueNarrative
After a brief historical view of this problem, we will demonstrate the derivation of first order linear differential equations with random perturbations.
random perturbation
Brownian motion
Langevin equation
Riemann-Steiltjes integral
Wiener process
Ito's calculus
Free Online Textbook
239
views
75
downloads
0
comments
2011-Richard_Fitzpatrick-Newtonian_Dynamics
This 300 page text is packed with motivational physics. Indeed, Professor Fitzpatrick brings us to the origins of why differential equations are the dominant tools of mathematics in the study of motion.
modeling
textbook
physics
bifurcation
Technique Narrative
184
views
293
downloads
0
comments
1-061-SingularPerturbation-TechniqueNarrative
This paper introduces the basics of singular perturbation methods for solving ordinary differential equations. Interactive examples will show how the smallness of physical parameters can drastically change the nature of the solutions.
perturbation
singular perturbation
Potential Scenario
178
views
75
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
General Resource
200
views
46
downloads
0
comments
2003-Knorrenschild-Gross-Text Books on Mathematical Modeling in Biology
Text Books on Mathematical Modeling in Biology Compiled from the Internet by Michael Knorrenschild,
biology
Mathematical Biology
textbook
text
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