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Biomedical Modeling

A repo containing code for basic biological models and visualizatons.

NOTE: The models are generated with the assistance of GenAI coding assistant tools.

Example Models

1. Lotka-Volterra model

The classic Lotka-Volterra model (also known as the predator-prey model) describes the dynamic interactions between predators and their prey. It is described by a pair of nonlinear differential equations, and the model assumes that the prey consumption rate by a predator is directly proportional to the prey abundance.

Code

Link: Lotka-Volterra on Wikipedia

Lotka-Volterra Animated

Lotka-Volterra

Lotka-Volterra with different conditions

2. Bacterial Growth in a Bioreactor

Here we look at bacterial growth in a bioreactor. The Monod equation is used to describe the growth of microorganisms, and the model output demonstrates the biomass, substrate, and product concentrations.

Code

Link: Bacterial Growth on Wikipedia

Simulated bacterial growth in a bioreactor

3. Pharmaceutical Research

Physiologically based pharmacokinetic (PBPK) modeling for predicting the absorption, distribution, metabolism, and excretion (ADME) of the drug labetalol in pregnant women. This is a multicompartment model that incorporates various organs, tissues, and vascular fluid flows.

Code

Link: PBPK on Wikipedia

Physiologically based pharmacokinetic (PBPK) modeling

4. Heart Rate and Exercise

A model of the heart rate responses to exercise for individuals of different fitness levels. The heart rate is shown for various exercise phases including warm-up, increasing intensity, peak exercise, and cool down.

Code

Heart Rate and Exercise

5. Blood Glucose Responses after Meal Consumption

A model of blood glucose responses to meals of different glycemic indexes. Meal types influence which glucose zone the individual reaches.

Code

Blood Glucose after Meals

6. Tumor growth, angiogenesis, and chemotherapy

A model of tumor growth and its response to chemotherapy. The model also incorporates aspects of angiogenesis, VEGF, and hypoxia.

Code

Modeling Tumor Growth 1

Code

Modeling Tumor Growth 2

7. Distance Running

Multiscale model of a runner that incorporates both training load and physiological metrics. The model provides one with a theoretical prediction of the effects of training on physiological metrics.

Code

Model of a runnner during training

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Biological Models and Visualizations

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