Institute for Pure & Applied Mathematics (IPAM) Courses

The Role of Materials and Microstructures in Electrochemical Energy Storage

Explore how materials and microstructures impact battery performance, safety, and durability through advanced modeling techniques for more efficient energy storage systems.

• YouTube
• 1 hour 11 minutes
• Self-Paced
• Free Video

DFT for Electrochemistry

Explore density functional theory applications in electrochemical systems through advanced computational modeling techniques and stochastic interaction approaches.

• YouTube
• 1 hour 21 minutes
• Self-Paced
• Free Video

DFT for Electrochemistry

Discover how density functional theory applies to electrochemical systems through expert insights from Max-Planck-Institut für Eisenforschung in this comprehensive tutorial.

• YouTube
• 1 hour 13 minutes
• Self-Paced
• Free Video

Modeling Electrochemistry with Continuum Non-Equilibrium Thermodynamics

Explore electrochemical system modeling using non-equilibrium thermodynamics, covering electrolytes, electrodes, interfaces, and validation with experimental data.

• YouTube
• 56 minutes
• Self-Paced
• Free Video

Molecular Level Modeling

Discover molecular-level modeling techniques for electrochemical systems, transitioning from deterministic to stochastic approaches in this advanced tutorial.

• YouTube
• 1 hour 10 minutes
• Self-Paced
• Free Video

Machine Learning for High Throughput DNA-Aptamer Screening and Selection

Discover how machine learning revolutionizes DNA-aptamer screening processes for cancer research applications through advanced computational methods and high-throughput selection techniques.

• YouTube
• 29 minutes
• Self-Paced
• Free Video

Inferring Dynamic Cellular Trajectories and Underlying Cellular Regulatory Networks with Neural and Graph ODE Models - Part 2

Explore graph ODE frameworks for inferring regulatory mechanisms in dynamic cellular trajectories, featuring RITINI method and breast cancer case studies.

• YouTube
• 30 minutes
• Self-Paced
• Free Video

Inferring Dynamic Cellular Trajectories and Underlying Cellular Regulatory Networks with Neural and Graph ODE Models - Part 1/2

Explore PHATE embedding and MIOflow neural ODE methods for analyzing cellular data trajectories and discovering regulatory networks in cancer research applications.

• YouTube
• 39 minutes
• Self-Paced
• Free Video

Challenges in Modeling Hematopoietic Stem Cell Dynamics and Clonal Progression

Explore mathematical modeling challenges in hematopoietic stem cell dynamics, from binary switches to continuous landscapes, and clonal progression in leukemia development.

• YouTube
• 42 minutes
• Self-Paced
• Free Video

The Kimura Diffusion Equation in Population Genetics - Theory and Numerics

Explore the Kimura diffusion equation's role in population genetics, covering Wright-Fisher models, genetic drift, selection, mutation, and advanced numerical methods for challenging boundary conditions.

• YouTube
• 45 minutes
• Self-Paced
• Free Video

Models and Algorithms for Cancer Evolution - Part 2

Explore advanced computational methods for inferring cancer evolution from DNA/RNA sequencing data, addressing bulk tumor deconvolution, single-cell errors, and spatial sampling challenges.

• YouTube
• 36 minutes
• Self-Paced
• Free Video

Models and Algorithms for Cancer Evolution - Part 1/2

Explore mathematical models and computational algorithms for inferring cancer evolution from DNA/RNA sequencing data, addressing bulk tumor mixtures and single-cell analysis challenges.

• YouTube
• 36 minutes
• Self-Paced
• Free Video

Developing Predictive Models Using Minimally-Invasive Biomarkers - Part 2

Explore predictive modeling techniques using minimally-invasive biomarkers like liquid biopsies and patient-reported outcomes to forecast cancer treatment response and disease progression.

• YouTube
• 31 minutes
• Self-Paced
• Free Video

Developing Predictive Models Using Minimally-Invasive Biomarkers - Part 1/2

Discover how to build predictive cancer models using liquid biopsy and patient-reported outcomes to forecast disease progression with minimal patient burden.

• YouTube
• 35 minutes
• Self-Paced
• Free Video

Deeper Compilation in the Active Volume Architecture

Discover advanced quantum compilation techniques for active volume architecture, achieving 5× speedup through explicit operation scheduling and accurate resource estimation methods.

• YouTube
• 45 minutes
• Self-Paced
• Free Video