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Reposted by Ramón Nartallo-Kaluarachchi

Hadrien Oliveri @hadrienoliveri.bsky.social · Sep 9

⭐New preprint: "A multiscale theory for network advection-reaction-diffusion"

with @alaingoriely.bsky.social and Emilia Cozzolino

arxiv.org/abs/2509.06546

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Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · Aug 29

This month's @londmathsoc.bsky.social newsletter contains a feature by one of the world's greates living scientists (me)
and also work by Roger Penrose.

I hope you enjoy :)
www.lms.ac.uk/sites/defaul...

www.lms.ac.uk

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Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · Aug 12

Excited to say that I will giving the IMA Early Career Mathematicians seminar on October 9th.
ima.org.uk/27052/ecm-se...

It will be happening online so feel free to join!
I will talking about nonequilibrium steady-states in complex systems - what they are and how to find them

ECM Seminar: Time’s arrow - Life and mind out of equilibrium

In the latest run of the Early Career Mathematicians Seminar Series we will be joined by the winner of the 2024 Graham Hoare Prize. The Graham Hoare Prize

ima.org.uk

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Reposted by Ramón Nartallo-Kaluarachchi

Oxford Mathematics @oxfordmathematics.bsky.social · Aug 5

Oxford Mathematician @alaingoriely.bsky.social awarded the 2025 LMS/IMA David Crighton Medal for his deep and influential insights into mechanical and biological processes, support of early career mathematicians, and commitment to the public understanding of maths.

www.maths.ox.ac.uk/node/72714

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Reposted by Ramón Nartallo-Kaluarachchi

Miguel Aguilera @maguilera.net · Jul 24

Our paper just out in Nature Communications!
www.nature.com/articles/s41...

We introduce curved neural networks naturally introducing high-order interactions showing:
• explosive phase transitions
• enhanced memory retrieval via self-annealing
• increased memory capacity through geometric curvature

Explosive neural networks via higher-order interactions in curved statistical manifolds - Nature Communications

Higher-order interactions shape complex neural dynamics but are hard to model. Here, authors use a generalization of the maximum entropy principle to introduce a family of curved neural networks, reve...

www.nature.com

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Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · Jul 14

This year’s Workshop on Stochastic Thermodynamics (WOST VI) talks are now online!

I was very grateful to give a short talk about my work on nonequilibrium brain network dynamics:

youtu.be/-z38f0fVMs4?...

Ramón Nartallo-Kaluarachchi: A structural perspective on nonequilibrium brain network dynamics

YouTube video by Workshop on stochastic thermodynamics (WOST)

youtu.be

Reposted by Ramón Nartallo-Kaluarachchi

Oxford Mathematics @oxfordmathematics.bsky.social · Jul 5

Today, the Tour de France begins 3 gruelling weeks of sun, scenery & summits, but what's the key to winning in this elite world of small margins? How about appetite for risk? @imgoxford.bsky.social & @javichico.bsky.social lead the breakaway.

Read more: www.maths.ox.ac.uk/node/72427

#TDF2025

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Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · Jun 25

Tremendously proud of my dear friend Romain Guyon who has just published this amazing paper on the cover of Science Translational Medicine!

He has invented revolutionary new technology for the delivery of booster vaccine doses in a single shot.

www.science.org/doi/10.1126/...

Core-shell microcapsules compatible with routine injection enable prime/boost immunization against malaria with a single shot

Engineered injectable microcapsules loaded with the R21 malaria vaccine enable delayed release, potentially removing the need for booster injections.

www.science.org

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Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · Jun 6

Final shift at @netsciconf.bsky.social presenting my poster on nonequilibrium brain network dynamics.

Also got to see our fearless leader, Renaud Lambiotte, collect his well-deserved Fellowship.

#NetSci2025

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Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · Jun 4

Speaking at NetSci2025 about our recent Learning on Graphs paper.

We build up a theoretical and applied approach to use Hodge theory on graphs to study stochastic systems!

arxiv.org/pdf/2409.07479

#NetSci2025

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Reposted by Ramón Nartallo-Kaluarachchi

Alain Goriely @alaingoriely.bsky.social · Jun 2

You won't believe your eyes!

Gresham College @greshamcollege.bsky.social · May 17

In-person tickets open: The Deceived Brain: Coding and Illusion

Book free via: gres.hm/deceived-brain

Prof @alaingoriely.bsky.social* reveals how optical illusions can be modelled mathematically, shedding light on how our brains process information...

*also of @oxfordmathematics.bsky.social

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Reposted by Ramón Nartallo-Kaluarachchi

David Beers @davidbeersmath.bsky.social · May 27

I posted about this paper this a while ago on another website, but figured I'd post it here now that I have a few followers. (Joint with @haharrington.bsky.social, Jacob Leygonie, @uzulim.bsky.social, and Louis Theran).

arxiv.org/abs/2411.08201

1/10

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Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · May 18

Me and Leonardo recently sat down to talk to Dyrol about our recent project, and more generally about collaboration in the mathematical and applied sciences. We hope you enjoy!
You can read the paper here: www.pnas.org/doi/abs/10.1...
Or the case study on the Maths site
www.maths.ox.ac.uk/node/70955

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Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · May 15

Last week, I gave the Networks seminar here at Oxford on:

'Nonequilibrium steady-states: from diffusion to digraphs',

talking about some of my recent work on discrete approximations of nonequilibrium diffusions. It is available online:
www.youtube.com/watch?v=ezep...

:)

Ramon Nartallo-Kaluarachchi: Non-equilibrium steady-states, from diffusion to digraphs

YouTube video by Fresh from the ArXiv

www.youtube.com

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Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · Apr 17

🚨REVIEW
We have written a review on the emerging topic of nonequilibrium, irreversible dynamics in the brain.

Now out on the arXiv: arxiv.org/abs/2504.12188

We introduce the relevant mathematical frameworks, discuss recent interesting results, and look to the future of this research direction!

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Reposted by Ramón Nartallo-Kaluarachchi

Oxford Mathematics @oxfordmathematics.bsky.social · Apr 13

May we introduce to you @lambiotte.bsky.social, Professor of Mathematics here in the University (and cathedral city) of Oxford, well-connected across all networks (hint to watch the film) and great family guy. Except when he's talking to them about maths.

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Reposted by Ramón Nartallo-Kaluarachchi

Alain Goriely @alaingoriely.bsky.social · Apr 8

How do axons “choose” their path during neurodevelopment?
Besides chemical cues, axons can respond to the mechanical stiffness of their environment.
This behavior is called durotaxis.
In this paper, we develop a full multiscale model of axon durotaxis.

doi.org/10.1016/j.jm...

doi.org

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Reposted by Ramón Nartallo-Kaluarachchi

Royal Society Publishing @royalsocietypublishing.org · Apr 4

Modelling cerebrovascular pathology and the spread of amyloid beta in Alzheimer’s disease: royalsocietypublishing.org/doi/10.1098/... #ProcA #Alzheimers #biophysics

royalsocietypublishing.org

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Reposted by Ramón Nartallo-Kaluarachchi

Alain Goriely @alaingoriely.bsky.social · Apr 2

In this paper, we connect local damage to brain vasculature to global progression of toxic proteins leading to neurodegenerative diseases.
royalsocietypublishing.org/doi/epdf/10....
We identify situations where disease initiation can be caused by focal hypoperfusion following vascular injury.

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Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · Mar 27

If we are to develop a mathematical framework that makes progress towards empirical use in biology, it must embrace complexity, data and simulation. We hope that our perspective acts as a roadmap to guide some future research directions in mathematical biology and complexity!

Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · Mar 27

Finally, holistic modelling is not at odds with theoretical biophysics, and we maintain that the ultimate goal of theoretical biology is the discovery of fundamental, translational principles. We point in promising directions

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Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · Mar 27

Biological systems can be monitored with new data collection techniques to extract huge amounts of information. This can help construct data-driven dynamical models which learn approximate forms of dynamics directly from observations. This switches the focus to the inverse-problem of modelling

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Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · Mar 27

Complex systems can be difficult to model with simple equations. Agent-based models can allow modellers to design heterogeneous and detailed interactions at the microscopic scale. With sufficient computational power and data, this can lead to so-called digital twins

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Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · Mar 27

In addition to structural complexity, biological systems also evolve with different spatial and temporal scales, which often cannot be separated. We consider Alzheimer's as an example and indicate how such scales can be integrated into a single model

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Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · Mar 27

Whilst complex systems scientists and network scientists have developed rich representation for complex interactions, such research remains largely theoretical. We call for a more applied approach, utilising these structures for predictive modelling in biology

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