
2017ByrneFurtherMathBiologyNotes
05 Apr 2020  Contributor(s):: Brian Winkel
2017ByrneFurtherMathBiologyNotesByrne, Helen. 2017. Further Mathematics Biology. Lecture notes. University of Oxford. An outline for this course. We will observe that many phenomena in ecology, biology and biochemistry can be modelled mathematically. We will...

2018Sonntag_LectureNotesMathSystemsBiology
22 Mar 2020  Contributor(s):: Brian Winkel
2018Sonntag_LectureNotesMathSystemsBiologySontag, Eduardo D. 2018. Lecture Notes on Mathematical Systems Biology. 305 pp. http://www.sontaglab.org/publications.html. Accessed 20 March 2020.The first version of these notes dates back to 2005. They were originally heavily...

2007AltafiniODEModelsInSystemBiology
20 Mar 2020  Contributor(s):: Brian Winkel
2007AltafiniODEModelsInSystemBiologyAltafini, Claudio. 2007. ODEs models in Systems Biology. Lecture 5 & 6 SISSA. Presentation. 27 slides.From Opening SlideSystems Biology = investigates function of genetic, molecular and cellular processes in a systematic...

2017GouletParameter Estimation in Chemical Kinetics
20 Mar 2020  Contributor(s):: Brian Winkel
2017GouletParameter Estimation in Chemical KineticsGoulet, D. 2017. Modeling, Simulating, and Parameter Fitting of Biochemical Kinetic Experiments. SIAM REVIEW. 58(2): 331–353.Abstract. In many chemical and biological applications, systems of differential equations containing...

2005BreitlingModelingBiologicalSystemsWithDifferentialEquationsPowerPoint
15 Mar 2020  Contributor(s):: Brian Winkel
2005BreitlingModelingBiologicalSystemsWithDifferentialEquationsBreitling, Rainer. 2005. Modelling Biological Systems with Differential Equations. PowerPoint Presntation. 51 slides.Outline:•Part 1: Why modelling?•Part 2: The statistical physics of...

2003KnorrenschildGrossText Books on Mathematical Modeling in Biology
13 Mar 2020  Contributor(s):: Brian Winkel
Text Books on Mathematical Modeling in BiologyCompiled from the Internet by Michael Knorrenschild,modified by Louis Gross, Oct. 1995, May 2000, March 2001, June 2003 Allan, Linda J....

Christina Alvey – Zombie Apocalypse in a Mathematical Biology Course
19 Jan 2018   Contributor(s):: Christina Alvey
Zombie Apocalypse in a Mathematical Biology Course By Christina Alvey, Mount Saint Mary College. A talk given at the AMS Special Session on Modeling in Differential Equations  High School, TwoYear College, FourYear Institution at Joint Mathematics Meetings, San Diego CA, 913 January...

2012DominguezGomperzModelAnalytisForTumors
28 Nov 2017   Contributor(s):: Brian Winkel
Domingues, José Sérgio. 2012. Gompertz Model: Resolution and Analysis for Tumors. Journal of Mathematical Modelling and Application. 1(7): 7077.Abstract: It is called cancer a wide range of diseases that has in common an unusual cells proliferation of the organism...

2008BrewerEtAlFitting ordinary differential equations to short time course data
21 Sep 2017   Contributor(s):: Brian Winkel
Brewer, D., M. Barenco, R. Callars, M. Hubank, and J. Stak. 2008. Fitting ordinary differential equations to short time course data. Phil. Trans. R. Soc. A. 366: 519–544.Abstract: Ordinary differential equations (ODEs) are widely used to model many systems in physics, chemistry, engineering...

WuMathematical Biology Models Using Experimental Data
12 Sep 2017   Contributor(s):: Brian Winkel
Wu, Hulin. Development of Mathematical Biology Models by Rigorously Using Experimental Data: Statistical Inverse Problems for Differential Equation Models. PowerPoint. 47 slides. _ Inverse Problems and Methods for ODE Models _ Application Examples – Example 1: A Complex Influenza...

2007ChernMathematial Modeling and Differential Equations
11 Sep 2017   Contributor(s):: Brian Winkel
2007ChernMathematial Modeling and Differential EquationsChern, ILiang. 2007. Mathematial Modeling and Differential Equations. Notes. 223 pp. http://www.math.ntu.edu.tw/~chern/notes/ode2015.pdf . Accessed 10 September 2017.From the first chapter,In science, we explore and understand our real...

2011RodriguezPDE Modeling Crime And Bio Applications
09 Sep 2017   Contributor(s):: Brian Winkel
Rodrıguez, Nancy. 2011. Applied Partial Differential Equations in Crime Modeling and Biological Aggregation . PhD Thesis. 137 pp. UCLA.From the opening,“Recently, there has been sustained interest in the use of partial differential equation (PDE) models to obtain insight into biological and...

2012IngallsMathematical Modeling In Systems Biology Text
08 Sep 2017   Contributor(s):: Brian Winkel
Ingalls, Brian. 2012. Mathematical Modelling in Systems Biology: An Introduction. pp. 396. Notes. https://www.math.uwaterloo.ca/~bingalls/MMSB/Notes.pdf . Accessed 7 September 2017.This is a comprehensive text with much biology background to motivate the mathematical modeling, exercises and...

Differential Equations in Biology and Agricultural Sciences  Resources and Reviews
24 May 2017 
Posted by Brian Winkel
We received an email today from Professor Chris Rawlings, Head of Computational and Analytical Sciences, Rothamsted Research, Harpenden, Hertfordshire, United Kingdom, about resources and...
https://simiode.org/blog/2017/05/differentialequationsinbiologiyandagriculturalsciencesresourcesandreviews

Analysis of logistic growth models
02 Mar 2017   Contributor(s):: Brian Winkel
Tsoularis, A. 2001. Analysis of logistic growth models. Research Letters in the Information and Mathematical Sciences. 2:2346. Full article available at http://mro.massey.ac.nz/handle/10179/4341 .Article Abstract: A variety of growth curves have been developed to model both unpredated,...

Curve fitting guide
01 Mar 2017   Contributor(s):: Brian Winkel
Fitting Models to Biological Data Using Linear and Nonlinear Regression: A Practical Guide to Curve FittingMotulsky, Harvey and Arthur Christopoulos. 2001. Fitting Models to Biological Data Using Linear and Nonlinear Regression: A Practical Guide to Curve Fitting. La Jolla CA: GraphPad Software....

Bio Models Database
01 Mar 2017   Contributor(s):: Brian Winkel
Bio Models Database. 2015. The European Bioinformatics Institute. http://www.ebi.ac.uk/biomodelsmain/. Accessed 15 March 2015.Part of the European Molecular Biology Laboratory at the Wellcome Trust Genome Campus, Hinxton, Cambridgeshire, CB10 1SD, UK, EMBLEBI provides freely available data from...

1110SSnailsInaTidePool
04 Oct 2016   Contributor(s):: Lisa Driskell, Audrey Malagon

BiologyDriven Approaches to Teaching Differential Equations
30 Sep 2015   Contributor(s):: Brian Winkel
At the International Symposium on Biomathematics and Ecology Education and Research 2015 (see https://about.illinoisstate.edu/biomath/beer/Pages/default.aspx), 911 October 2015, Illinois State University, State Farm Hall of Business 145, 9:159:40 AM , Brian Winkel gives talk,...

2010JungckEtAlEpidemic Modeling with Bean Bags
30 Jun 2015   Contributor(s):: John R. Jungck, Holly Gaff, Anton E. Weisstein
Jungck, John R., Holly Gaff, and Anton E. Weisstein. 2010. Mathematical Manipulative Models: In Defense of “Beanbag Biology”. CBE—Life Sciences Education. 9: 201–211.This paper offers up samples of projects from the Bio QUEST Curriculum Consortium’s...