Skip to Main Content
Powered by QUBES

Resources

Text Search:
Applied Filters
    Article or Presentation
    506

    views

    100

    downloads

    0

    comments

    2007-John_Jungck-Ten_Equations_that_Changed_Biology-Mathematics_in_Problem-Solving_Biology_Curricula The author
    These equations were selected upon the basis of wide-spread recognition of the value of the models.
    biologyequationsten equations
    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 biologyBioModels Databasebio databaselife science experiments
    Potential Scenario
    212

    views

    44

    downloads

    0

    comments

    2012-Greer-Palin-Students in Differential Equations and Epidemiology Model a Campus Outbreak of pH1N1
    We describe a semester-long collaboration between a mathematics class and a biology class. Students worked together to understand and model the trajectory of the pandemic H1N1, pH1N1, outbreak across campus in fall 2009.
    H1N1pandemicspreadoutbreakpH1N1
    Potential Scenario
    173

    views

    44

    downloads

    0

    comments

    2017-Helen-Byrne-Further Mathematics Biology
    These studies will be in the context of ecological, biological and biochemical applications.
    epidemicschemotaxisenzyme-substrateion channelsnerve pulsesgene proagationtumour
    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.
    biologygene regulatory networksModelsmetabolic networkssignal transduction pathwayselectrophysiology
    Potential Scenario
    161

    views

    72

    downloads

    0

    comments

    2017-Guy-Bart_Stan-Modelling in Biology
    This is a very rich set of notes, rich in examples and ideas for modeling. In almost all cases after a model is introduced in real context there is attention to stability analysis.
    spring massbifurcationmass actionlimit cycles
    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,
    biologyMathematical Biologytextbooktext
    Free Online Textbook
    210

    views

    83

    downloads

    0

    comments

    2018-Eduardo-Sontag-Lecture_Notes_on_Mathematical_Systems_Biology
    I am often asked if it is OK to use these notes in courses at other universities. The answer is “of course!” though I strongly suggest that a link to my website be provided, so that students can always access the current version.
    biologytextbooksystemsdyanmical system
    Potential Scenario
    119

    views

    53

    downloads

    0

    comments

    2008-Brewer-EtAl-Fitting ordinary differential equations to short time course data
    In this paper, we present a survey of existing algorithms and describe the main approaches. We also introduce and evaluate a new efficient technique for estimating ODEs linear in parameters particularly suited to situations where noise levels are...
    time seriesEvaluation SPLINEgeneleast squaresbifurcation
    Potential Scenario
    279

    views

    98

    downloads

    0

    comments

    2006-Wilensky-Reisman-Thinking Like a Wolf a Sheep or a Firefly
    We describe a computation-based approach that enables students to investigate the connections between different biological levels using agent-based, embodied modeling tools.
    simulationNetLogopredator-preyagent-basedwolffox
    Potential Scenario
    275

    views

    54

    downloads

    0

    comments

    2006-Juska-Gedminiene-Ivanec-Growth of Microbial Populations-Mathematical Modeling-Laboratory Exercises-Model-Based Data Analysis
    The aim is to teach the students to use a fresh approach to the problems they are familiar with, to come up with an articulate verbal model after a mental effort, to express it in rigorous mathematical terms, to solve (with the aid of computers).
    population growth ratelogistic equationVerhulst equationgeneration timelag time
    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 dynamicsecologydynamicsclassical mechanicschemical reaction
    Potential Scenario
    159

    views

    71

    downloads

    0

    comments

    1935 GFGause Article Predator Prey Oscillations
    N/A
    Lotka-Volterrapredatorparameciumpreycycleoscillate
    Potential Scenario
    186

    views

    44

    downloads

    0

    comments

    2013-Alicia_Caldwell-Students Rise to the Challenge of Modeling Yeast Growth Despite Sour Hiccups from Imperfect Data
    This paper describes a lab in which students in an Applied Mathematics in Biology course observe the growth of Saccharomyces cerevisiae, a yeast strain, in differing sugar concentrations for use in learning modeling.
    Saccharomyces cerevisiaelogisticyeastdeathgrowthsugaralcohol
    Potential Scenario
    135

    views

    42

    downloads

    0

    comments

    1998-K_H_Louie_Clark-P_C_D_Newton-Analysis of differential equation models in biology-clover meristem populations
    A simple differential equation model (dynamical system) for clover, based on meristem numbers, is outlined and analysed mathematically.
    sensitivity analysisstability analysissteady statesgrowing pointsbudsmeristems
    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.
    biologydatabasebioinformaticsModelscomputational models
    Potential Scenario
    182

    views

    49

    downloads

    0

    comments

    2012-Transtrum-Qiu-Optimal experiment selection for parameter estimation in biological differential equation models
    We explore the question to what extent parameters can be efficiently estimated by appropriate experimental selection.
    experimental designsystems biologyAssociation & Data Fittingreaction ratesdecay rates
    Potential Scenario
    132

    views

    49

    downloads

    0

    comments

    2011-GA_Koch-Noble-Drugs in the Classroom Using Pharmacokinetics to Introduce Biomathematical Modeling
    By beginning with simple model involving the half-life of a drug, students take advantage of their mathematical abilities to explore the biology.
    Biomathematicspharmacokinetics
    Potential Scenario
    294

    views

    47

    downloads

    0

    comments

    2018-Robert_Phair-Differential_equation_methods_for_simulation_of_GFP_kinetics_in_non–steady_state_experiments
    Here, we derive new tracer kinetic analytical methods for non–steady state biological systems by constructing mechanistic nonlinear differential equation models of the underlying cell biological processes.
    protein quality controlkineticsCellssteady statechemical kineticsfluouresencephotoactivationinytracellular
    Article or Presentation
    128

    views

    33

    downloads

    0

    comments

    2002-Patrick_Nelson-Alan_Perelson-Mathematical_analysis_of_delay_differential _equation_models_of_HIV-1_infection
    Models of HIV-1 infection that include intracellular delays are more accurate representations of the biology and change the estimated values of kinetic parameters when compared to models without delays.
    delayHIV-1T cellscombination antiviral therapy