Import an SBML model and use it to study oscillations near a Hopf bifurcation.

Model a biochemical process and study how insulin signaling in fat cells works.

Simulates the process that maintains healthy blood glucose levels in the human body after eating a meal.

Create a pharmacokinetic model to describe the distribution and transfer rates of contrast agent between different parts of the body.

Of all currently used therapeutic drugs, about 40-50% are centered on the mechanisms of so-called G-protein‐coupled receptors (GPCRs). Here, we use the SBML import function in Wolfram System Modeler to import a model that describes the behavior of GPCRs and G proteins in a yeast cell.

Therapeutic monoclonal antibodies (mAbs) are becoming an increasingly important class of drugs in the treatment of many severe diseases. Due to their very specific nature and long half-lives, however, selecting safe, first-in-human starting doses for new mAbs can be tricky. In this example, we will see how a mathematical modeling approach can be used to aid such a dose selection process.

Allosteric regulation is a prime drug target because it reduces the risk of overdose and side effects and can be used to fine-tune pharmacological processes. This model studies a naturally occurring allosteric reaction: the first step in the pyrimidine synthesis, catalyzed by the allosteric enzyme aspartate carbamoyltransferase (ATCase).

A simple enzyme reaction that is not affected by negative feedback, allosteric effects or cooperativity can be simplified using Michaelis–Menten kinetics.

Enzymes play a part in almost every biochemical reaction known, from human metabolism to beer brewing. This model showcases a generic substrate to product reaction and catalyzes it to illustrate the power of enzymes.

When a large percentage of the population becomes immune to a disease such as COVID-19, you can consider the population to be protected from the disease by herd immunity. This means that although 100% of the population may not be vaccinated, a sufficient proportion of the population is, and the rate of infection starts to decrease. In this example, you will investigate the concept of herd immunity using the SIR (susceptible, infected and recovered) model.

The plasma membrane not only acts as a cell barrier, but also controls what comes into and out of a cell. In this example, you will explore the concept of osmosis and how molar concentrations of solutes affect the movement of water across a semipermeable membrane.

Most people have had headaches that prevent them from focusing on their tasks. In this example, you will study how ibuprofen can relieve headaches. Your goal is to find out what dosage works best to relieve the headache without getting any side effects.

How does the food you consume affect your body, and what type of food should you consume to build muscle? Most people have thought about this question at least once. In this example, you will explore how your chosen food options contribute toward fat and muscle gain.

Natural selection is fundamental in understanding how populations evolve over time. It helps with understanding why some traits die out while others flourish. In this example, you will explore the effect that environmental selection pressures have on the genetic makeup of a population.

Genetic testing is an important tool, not only in clinical settings but also in research. In this example, you will explore how DNA is manipulated in genetic testing. You will use polymerase chain reaction (PCR) to amplify a DNA sample and then use electrophoresis to diagnose patients with genetic diseases.

Not all traits are inherited on autosomes—there are a large number of traits inherited on the sex chromosomes. In this example, you will explore how traits are inherited on the sex chromosomes and how this affects the proportion of individuals with each genotype in the population.

The Hardy–Weinberg principle is a fundamental principle in population genetics. It describes populations that are no longer undergoing evolution and thus reach a steady state. In this example, you will learn to construct a genetic inheritance model and analyze scenarios when the assumptions of Hardy–Weinberg equilibrium are violated.