Math Modeling

## Multi-scale modeling

Suggested reading and resources to learn more about multi-scale modeling approaches

## PlantBiology2020 Online Workshop: Mathematical Modeling Across Scales in Plant Biology

The workshop will be online on July 31st from 2-4 pm EDT. I changed the format a little to facilitate this, read if you are curious.

## Tutorial: Six 3D Surface and Contour Plots in Matlab

Six example 3D surface and contour plots using @MATLAB

## Workshop on Computational Plant Biology at PB2020 & Opportunities for Participants

Last year I held a workshop on collaboration in computational plant biology at pb2019. We went through a few examples of how computational biology is used in a variety of situations, discussed challenges in collaboration and communication. Participants were matched with potential collaborators at the end of the workshop. I received a lot of feedback… Continue reading Workshop on Computational Plant Biology at PB2020 & Opportunities for Participants

## Introduction to modeling: parameter estimation in R

This code introduces how to perform parameter estimation for a system of differential equations in R. First, the necessary packages and data are imported using code previously introduced in a previous post. R code available here.  Due to computational constraints, the mathematical model we are using to fit to the data includes product inhibition. If product inhibition doesn't… Continue reading Introduction to modeling: parameter estimation in R

## Introduction to modeling and coding in R

After introducing students to a simple mathematical model describing enzyme kinetics, I introduced them to coding and modeling in R. Coding is traditionally done by first describing some coding 'rules', including ending the line with semicolons or how to define a variable. Personally I found these methods ineffective and frustrating. I took a few classes… Continue reading Introduction to modeling and coding in R

## Modeling demo: photosynthesis

This demo is intended to help students understand the connection between photosynthetic pigment function, light energy, and plant growth. The relative absorption of 8 wavelength ranges can be modified to represent an absorption spectra. These absorption spectra could be simplified to include one or two specific colors, or approximate an absorption spectra obtained in lab.… Continue reading Modeling demo: photosynthesis

## Modeling demo: enzyme kinetics

When using this demo, students can alter the reaction rate, substrate, or enzyme concentrations. The simulation motivates understanding what a basic mechanistic model of enzyme kinetics would consist of. After running a simulation, the predicted dynamics of the product and substrate are plotted. The model behind the simulation is: \$latex \frac{dS}{dt} = - r*E*S\\ \frac{dE}{dt} =… Continue reading Modeling demo: enzyme kinetics

## Ask me anything!

Ask me anything anonymously (or non-anonymously) using this Google form: https://goo.gl/forms/JIAIGvvLYATAuEjv2 You can also ask questions on the blog or on the Plantae BDCI network!

## Why do we need mathematical modeling in biology?

Mathematical modeling is a relatively new field. You may be more aware of a subfield of biology called bioinformatics or computational biology. These tend to deal with larger data sets, studying them using more algorithmic methods. Computational biology also refers to mathematical biology, or an even mixture of mathematics and computer science as applied to… Continue reading Why do we need mathematical modeling in biology?