Computational Immunology, Utrecht, December 7th, 2022



T-cell collectives in silico

Emerging complexity in
T-cell repertoires and
T-cell migration


Inge Wortel
Computational Immunology group,
Radboud University Nijmegen, NL


inge.wortel@ru.nl

@inge_wortel

About me

Background:

2011-2014 BSc
Chemistry

@Radboud Uni
2011-2014 BSc
Molecular Life Sciences

@Radboud Uni
2014-2016 MSc
Molecular Mechanisms of Disease

@Radboud Uni

About me



2016-2021: PhD Computational Immunology

Computational modelling of T-cell collectives,
computational immunology group @Radboudumc

2021-2022: Postdoc Computational Immunology
computational immunology group (moved to
Data Science @Radboud Uni)

Now: Starting my own group
Combining machine learning and simulation to understand biological complexity
(@Data Science, Radboud Uni)

T-cell collectives: a whole that is more than the sum of its parts?


Our T-cell collective:

  • contains millions of T cells
  • these T cells interact

$\rightarrow$ "complex" behaviors can emerge!


...so how can we know what T cells will do?

Modelling the T-cell collective

Two topics:

  1. T-cell migration (now)
  2. the T-cell repertoire (later)

Computational Immunology, Utrecht, December 7th, 2022



Part I

Could T cells form traffic jams?





The biological problem.

T cells recognize compromised cells specifically.

Adapted from National Cancer Institute (NIH)



  • Adaptive immune system
  • Recognize pathogen-infected or cancerous cells
  • T-cell receptor (TCR) recognizes short peptides on MHC
  • Compromised (infected/cancerous) cells display different peptides than healthy cells do
  • Specific because each T cell's receptor recognises specific peptides

T cells search for anomalies in lymph nodes.
What are we missing?

Only one in a million T cells can detect any given new pathogenic signal (peptide).

T cells must search for these rare targets that can activate them.

They do this in central "meeting hubs" called lymph nodes.


A. Peixoto, Harvard Medical School

Hidden figures.

Image: Connie Shen & Judith Mandl.

The question: why no traffic jams?




?

How do T cells respond to complex and crowded environments, and does their smooth traffic flow ever break down?

Approach:
mechanistic
modelling.




"What I cannot create, I do not understand."

— Richard Feynman

"Creating" real and simulated T-cell crowds.

Put T cells in controlled environments, inspired by the physics field of crowd dynamics.

  1. In silico: computational model
  2. In vitro: controlled environment in the lab


Can we "build a crowd" — i.e., can our model predict what real T cells will do in vitro?

Data: time-lapse imaging of moving cells.
Predictions: what will the crowd do?

The circle of life mechanistic modelling.

Example:
T-cells in one lane traffic.

Step 1: gather input knowledge.

Adapted from: Dupré et al (2015). doi: 10.3389/fimmu.2015.00586.

Step 1: gather input knowledge.

Carlier and Shekhar (2017). doi: 10.1038/nrm.2016.172.

Step 2: encode into a model.

Evan Ingersoll & Gaël McGill, Images from science 3 exhibition.

Option 1: Detailed model

Explicitly encode every molecule and resulting force.

+   highly interpretable!

+   emergent behavior.

  too expensive to model crowds.

Step 2: encode into a model.

Option 2: Phenomenological — Cellular Potts Model (CPM)1

Pixels belong to cells, which
move by copying pixels:

Copy success chance (Pcopy) is higher when it helps the cell:

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$P_\text{copy} = \begin{cases} e^{-\Delta H/T} & \Delta H \gt 0\\ 1 & \Delta H \leq 0 \end{cases}$

$\rightarrow$ Cells have shapes and interact naturally through volume exclusion (each pixel can only belong to one cell at a time). Crowd behavior still emerges.

1Graner and Glazier (1992). doi:10.1103/PhysRevLett.69.2013

Step 2: encode into a model.

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Cells move if we add positive feedback on protrusive activity ($\approx$ actin polymerization)1:

Parameters:
λact$\approx$ protrusive force
maxact$\approx$ polymerized actin lifetime

$\rightarrow$ realistic cell shape and motility 1,2.

1Niculescu et al. (2015). doi:10.1371/journal.pcbi.1004280
2Wortel et al. (2021). doi:10.1016/j.bpj.2021.04.036

Step 3: predict crowd behavior.

A cornerstone scenario in crowding physics: one-lane traffic.

1John et al. (2009). doi:10.1103/PhysRevLett.102.108001
2Seyfried et al. (2005). doi:10.1088/1742-5468/2005/10/p10002

What do you think?

T cells are like:

A. Humans
B. Ants

Step 3: predict crowd behavior.

What do T cells do? Put single (CPM) cells together in constrained channels and predict crowd behavior:












Qualitatively: cells rapidly align into "trains" to keep moving.

Step 4: test model predictions.

What about real T cells? Again: train formation!

Data: Jérémy Postat and Judith Mandl.

Step 4: test model predictions.

Quantitatively: the fundamental diagram in both cases is flat.

Step 5: consolidate model — and repeat.

Model consolidation != proof.

Can we predict crowd behavior in other scenarios as well?

Step 5: consolidate model — and repeat.

Pedestrian crowds can form jamming arches near an exit. This scenario is well-studied because of crowd disasters, such as at the Love Parade (Berlin, 2010).

$\rightarrow$ What about T cells?

Step 5: consolidate model — and repeat.

Simulated T cells can indeed form jamming arches:

Work in progress, but see: Wortel (2021). https://repository.ubn.ru.nl/handle/2066/236680.

Step 5: consolidate model — and repeat.

Over time, the system alternates between a "jammed" and a "flowing" state:

Faster is slower?

By varying model parameters, we can see what happens when the escape process is more competitive (i.e.: cells pulled more strongly to the right):

Faster is slower?

We call this the "faster-is-slower" effect:

  • Cells that try to escape faster are actually slower because they block the exit
  • Known from other systems (e.g. pedestrians)
  • Stops when forces become high enough

But: "to be continued" — more validation is needed:

  • What if cells are more deformable?
  • What happens in vitro.

Summary: on the existence of T-cell traffic jams

T cells are inherently quite jam-resilient:

  • They self-align to avoid jamming in one-lane traffic
  • resulting in a "flat" fundamental diagram like that of ants.

...but jamming may occur in challenging environments:

  • (temporary) jamming arches form during competitive escape
  • T cells might even exhibit the "faster-is-slower" effect, but this awaits validation.


Work of Shabaz Sultan

Read more

About the model:


...Or try out the simulations yourself:

Acknowledgments

Jérémy Postat Connie Shen Judith Mandl Shabaz Sultan Johannes Textor
Mandl lab
McGill University, Montréal, Canada
Computational immunology group
Radboud University, the Netherlands
computational-immunology.org