…where we talk: an induction to MathBio, neuroscience in flies, and optimizing coffee breaks.

Lukas did a PhD at the University of Oxford and a postdoc at the Max Planck Institute of Neurobiology, where he discovered how single neurons implement basic arithmetic operations. Now he is an associate professor at the Medical University of Graz.

Learn more about Lukas’ work on his website: groschner-lab.org

Learn more about this year's Annual Meeting at: ecmtb2026.

Find out more about SMB on: 

• Twitter: @smb_mathbiology 
• Bluesky: @smbmathbiology.bsky.social 
• Facebook: @smb.org 
• Linkedin: @smb_mathbiology 
• The Bulletin of Mathematical Biology

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…where we talk: time at Los Alamos, modeling TB, and tips for international flights.

Dr. Kirschner was the first mathematics professor appointed in a medical school. She researches immune responses to infections using multiscale modeling. She served as Editor-in-Chief of the Journal of Theoretical Biology for 20 years and as president of SMB.

Learn more about Denise’s work on her website: http://malthus.micro.med.umich.edu

Find out more about SMB on: 

• Twitter: @smb_mathbiology 
• Bluesky: @smbmathbiology.bsky.social 
• Facebook: @smb.org 
• Linkedin: @smb_mathbiology 
• The Bulletin of Mathematical Biology

Apple Link      Spotify Link     Read the full transcript

The Society is accepting nominations for the 2027 Society Prize Award cycle. Society members are encouraged to nominate candidates by submitting the required materials in PDF format via the Prize submission form. Contact SMB Secretary Brandilyn Stigler (secretary@smb.org) if you have any questions.

By Monday, 14 September 2026, the nominator must submit:

• Contact information for the nominators and nominee, including SMB Members IDs for both nominator and nominee
• A letter (no more than 4 pages) describing the nominee's qualifications and commenting on the nominee's scientific contributions for the society award.
• The nominee's curriculum vitae, including all publications.
• Two supporting letter

Submit Your Prize Nomination

Nominees may be affiliated with non-academic institutions, however, please note that Society membership is a requirement for the nominator and nominee. All applications must be complete and submitted by Monday, 23:59PM ET, 14 September 2026 in order to be considered.

A Hallmark-Integrated, Agent-Based Framework for Intratumor Heterogeneity in Melanoma Evolution

by Khola Jamshad, Trachette L. Jackson

We introduce a computational model that uses biologically informed cell behaviors to simulate how genetic diversity within a single tumor shapes its growth and structure over time. The model accounts for mutation-specific advantages, and interactions between tumor and immune cells. Focusing on melanoma, we find that simulated tumors can develop three distinct levels of heterogeneity, influenced by how frequently new mutations arise and by the tumor’s ability to attract immune cells. We also show that tumor cell movement is necessary to reproduce the complex tumor shapes observed in patients. Together, these findings provide a framework for building patient-specific tumor models that connect genetic information to tumor behavior.

A scheme for the BEP-HIM agent-based model for tumor evolution with key findings for melanoma.

Mono- and Polyauxic Growth Kinetics: A Semi-Mechanistic Framework for Complex Biological Dyanmics

by Gustavo Mockaitis

Understanding how microbes grow in complex mixtures, like those in bioenergy and waste valorization, is tricky. Current math models are either too basic or demand impractical amounts of data. This study introduces a smart, open-source tool that bridges the gap. It breaks down messy, multi-phase growth curves into clear, overlapping steps. By using automated algorithms to filter bad data and find the best fit, it pulls real biological insights, such as true growth rates and delay times, straight from standard, easy-to-collect observations. It’s a reliable way to turn everyday reactor data into deep, actionable understanding.

Unified semi-mechanistic framework for polyauxic microbial growth analysis. Experimental biomass-versus-time data, illustrated with a chemostat context, are processed through a modeling pipeline that reformulates canonical sigmoidal equations, estimates parameters by global and local optimization, and performs model selection. The output is an overall fitted curve decomposed into individual growth phases, yielding interpretable phase-specific kinetic parameters such as maximum growth rate and lag time.

Emergence of Bursting and Delay-Induced Spiral Patterns in Eco-Epidemiological Systems

by Namrata Mani Tripathi

Understanding the spatio-temporal dynamics of interacting populations is crucial for ecological systems. We develop an eco-epidemic model with susceptible and infected prey and predators, incorporating carryover $(f_1)$, fear $(f_2)$, and recovery $(\gamma)$. Existence, boundedness, and Hopf bifurcation are established. Without delays, $f_1$ stabilizes while $f_2$ destabilizes dynamics, and recovery affects populations. With delays, chaotic oscillations and bursting arise in unstable regimes, while sufficient recovery suppresses delay effects. Spatial analysis shows Turing patterns, where delays and recovery shape spirals and clusters, influencing ecosystem stability.

Delay-driven eco-epidemic dynamics illustrating how fear, carryover, and recovery generate chaotic oscillations and spiral pattern formation in space.

Final-size solutions for SIRI models with vaccination

by Maria A. Gutierrez and Julia R. Gog

This work extends the deterministic SIR epidemic model to allow reinfections of individuals in the recovered compartment. Hosts with prior immunity, elicited from vaccination or a past infection, are less susceptible to the disease. We interpret partial host immunity as either all-or-none or leaky. For both interpretations, we find final-size solutions for the cumulative number of reinfections and primary infections across a transient epidemic wave. These analytical expressions depend on the vaccination coverage of the host population, the vaccine efficacy on naive hosts, the relative susceptibility to reinfection, and the basic reproduction number (R0). If R0 is above a reinfection threshold, the leaky model has an endemic equilibrium.

Graphical abstract

Observer-Based Source Localization in Tree Infection Networks via Laplace Transforms

by Graham Kesler O’Connor, Julia M. Jess, Devlin Costello, Manuel E. Lladser

Pinpointing "patient zero" in an outbreak, whether a biological disease, a computer virus, or rumor is notoriously difficult. Our paper introduces two new statistical methods based on Laplace transforms to trace the origin of an infection in tree networks when only a subset of nodes report their infection times. This makes our methods suitable for any situation in which a susceptible-infected (SI) infection spreads through a network without loops, with infected nodes infecting susceptible neighbors after random, independent delays, with explicit Laplace transforms. In particular, our methods provide public health, cybersecurity, and intelligence officials with a general tool for tracing and containing outbreaks.

Middle: Formulation of the observers' infection times using Laplace transforms of the edge delays, alongside a proposed source estimator derived from the empirical Laplace transform of the observers. Left: Source localization on a linear network with node 0 as the sole observer, as the infection source shifts from node 1 to node 10. Right: Source localization performance along the Thukela River basin, where the leftmost node is the true source, estimated using the simulated infection times of three downstream observers selected at random.

Join SMB and Springer Nature on June 15, 11:00AM ET for a new virtual workshop designed to provide early career researchers and authors of varying degrees of experience with the guidance necessary to get published and disseminate their research to as broad an audience as possible. Making informed choices about which journals are right for your submissions is key to navigating the complex academic journals landscape. But this is just one step in a multifaceted process that begins with the best ways to present your research topic to an editorial board and ends with the promotion of your published article to your communities for maximum impact. We will also touch upon other trends in the academic literature, including those dubious journals and publishing opportunities that researchers need to be aware of and vigilantly avoid.

Open Science Presentation:
We will also tell you about the ways we are empowering researchers to advance discovery, including Springer Nature's open access strategies and policies and their overarching commitment to an open science future.

Register for this session today! 

Stochastic Analysis of Taxis and Kinesis Properties of Colonial Protozoa

by Yonatan L. Ashenafi & Peter R. Kramer

This study asks whether cells that navigate well alone can still find oxygen or food after joining a colony. Using a choanoflagellate-inspired mathematical model, it shows that colony life can completely change the rules: a steering-based strategy (taxis) that works for single cells can break down collectively, with competing forces even pushing the colony the wrong way. By contrast, a noise-tuning strategy (kinesis) stays remarkably effective, allowing colonies to keep climbing gradients even under adversarial flagellar arrangements. The work shows how reliable collective motion can emerge from noisy, imperfect parts and offers design ideas for simple adaptive microrobotic swarms.

Schematic of the taxis and kinesis flagellar-response models for cells within a colony in the presence of an environmental gradient (blue arrows). Left: Colony of taxis-enabled cells. The red arrow indicates the biased flagellar force direction that would generate a torque tending to rotate the cell so that it swims up the environmental gradient. Right: Colony of kinesis-enabled cells. The red wedge indicates the estimated range of motion of the beating flagellum.