Publications by Kathryn Hess Bellwald

Shadows are bicategorical traces

Hochschild homology has proved to be an important invariant in algebra and homotopy theory, in particular due to its relevance in algebraic K-theory and fixed point theory, leading to the development of numerous variants of the original construction. Ponto ...

2025

Of mice and men: Dendritic architecture differentiates human from mouse neuronal networks

Kathryn Hess Bellwald, Henry Markram, Rodrigo de Campos Perin, Alexis Arnaudon, Julie Meystre, Maurizio Ferdinando Pezzoli, Ying Shi, Lida Kanari, Natali Barros Zulaica

The organizational principles that distinguish the human brain from other species have been a long-standing enigma in neuroscience. Focusing on the uniquely evolved human cortical layers 2 and 3, we computationally reconstruct the cortical architecture for ...

2025

Heterogeneous and higher-order cortical connectivity undergirds efficient, robust, and reliable neural codes

Kathryn Hess Bellwald, András Ecker, Daniela Egas Santander, Christoph Pokorny

To distinguish between subpopulations, we developed a metric based on the mathematical theory of simplicial complexes that captures the complexity of their connectivity by contrasting its higher-order structure to a random control and confirmed its relevan ...

2025

Modeling and Simulation of Neocortical Micro- and Mesocircuitry. Part I: Anatomy

Kathryn Hess Bellwald, Henry Markram, Felix Schürmann, James Gonzalo King, Srikanth Ramaswamy, Juan Bautista Hernando Vieites, Alexis Arnaudon, Eilif Benjamin Muller, Daniel Keller, Michael Reimann, Huanxiang Lu, Ying Shi, Vishal Sood, Jean-Denis Georges Emile Courcol, Werner Alfons Hilda Van Geit, Lida Kanari, Juan Luis Riquelme Roman, Ran Levi, Michael Emiel Gevaert, Pramod Shivaji Kumbhar, Liesbeth Maria L Vanherpe, Armando Romani, Cyrille Pierre Henri Favreau, Judit Planas Carbonell, Adrien Michel Achille Devresse, András Ecker, Nicolas René Jean Ninin, Daniela Egas Santander, Alexander Dietz, Benoît Jean-Albert Coste, Samuel Lieven D. Lapere, Matthias Wolf, Sirio Bolaños Puchet, Hugo Thabo Dictus, Thomas Brice Delemontex, James Bryden Isbister, Janis Lazovskis, Gianluca Ficarelli, Joni Henrikki Herttuainen,

Reluctance Despite Recognition: Student Perceptions of Benefits of Group Work

Kathryn Hess Bellwald, Simone Deparis, Joelyn de Lima

As engineering educators pivot towards implementing evidence-based pedagogical strategies, group work - or collaborative work - is being increasingly used in undergraduate classrooms. In mathematics, collaboration is a crucial disciplinary practice. Partic ...

European Society for Engineering Education (SEFI)2024

Dynamics of CLIMP-63 S-acylation control ER morphology

Kathryn Hess Bellwald, Béatrice Kunz, Graham Knott, Françoise Gisou van der Goot Grunberg, Laurence Gouzi Abrami, Vassily Hatzimanikatis, Patrick Alain Sandoz, Robin Alexander Denhardt-Eriksson, Sylvia Ho, Luciano Andres Abriata, Catherine Maclachlan, Gard Spreemann

A key player in the formation of endoplasmic reticulum sheets is CLIMP-63, but mechanistic details remained elusive. Here authors combined cellular experiments and mathematical modelling to show that S-acylation of CLIMP-63 regulates its function by mediat ...

Nature Portfolio2023

Intact Drosophila central nervous system cellular quantitation reveals sexual dimorphism

Kathryn Hess Bellwald, Evelyne Ruchti, Ying Shi, Brian Donal McCabe, Wei Jiao, Soumya Banerjee, Gard Spreemann, Samuel William Vernon

Establishing with precision the quantity and identity of the cell types of the brain is a prerequisite for a detailed compendium of gene and protein expression in the central nervous system (CNS). Currently, however, strict quantitation of cell numbers has ...

eLIFE SCIENCES PUBL LTD2022

A Künneth theorem for configuration spaces

Kathryn Hess Bellwald

We construct a spectral sequence converging to the homology of the ordered configuration spaces of a product of parallelizable manifolds. To identify the second page of this spectral sequence, we introduce a version of the Boardman-Vogt tensor product for ...

2022

Computational synthesis of cortical dendritic morphologies

Kathryn Hess Bellwald, Henry Markram, Alexis Arnaudon, Julian Charles Shillcock, Werner Alfons Hilda Van Geit, Lida Kanari, Benoît Jean-Albert Coste, Hugo Thabo Dictus

Neuronal morphologies provide the foundation for the electrical behavior of neurons, the connectomes they form, and the dynamical properties of the brain. Comprehensive neuron models are essential for defining cell types, discerning their functional roles, ...

CELL PRESS2022

Preface

Kathryn Hess Bellwald

AMER INST MATHEMATICAL SCIENCES-AIMS2022

Persistent Homology with Improved Locality Information for more Effective Delineation

Kathryn Hess Bellwald, Pascal Fua, Mateusz Kozinski, Adélie Eliane Garin, Doruk Oner

Persistent Homology (PH) has been successfully used to train networks to detect curvilinear structures and to improve the topological quality of their results. However, existing methods are very global and ignore the location of topological features. In th ...

2022

Computational tools for twisted topological Hochschild homology of equivariant spectra

Kathryn Hess Bellwald, Inbar Klang

Twisted topological Hochschild homology of Cn-equivariant spectra was introduced by Angeltveit, Blumberg, Gerhardt, Hill, Lawson, and Mandell, building on the work of Hill, Hopkins, and Ravenel on norms in equivariant homotopy theory. In this paper we intr ...

ELSEVIER2022

A tool for mapping microglial morphology, morphOMICs, reveals brain-region and sex-dependent phenotypes

Kathryn Hess Bellwald, Lida Kanari, Martina Scolamiero

Environmental cues influence the highly dynamic morphology of microglia. Strategies to characterize these changes usually involve user-selected morphometric features, which preclude the identification of a spectrum of context-dependent morphological phenot ...

NATURE PORTFOLIO2022

A Shadow Perspective on Equivariant Hochschild Homologies

Kathryn Hess Bellwald, Inbar Klang

Shadows for bicategories, defined by Ponto, provide a useful framework that generalizes classical and topological Hochschild homology. In this paper, we define Hochschild-type invariants for monoids in a symmetric monoidal, simplicial model category V, as ...

OXFORD UNIV PRESS2022

Topology predicts long-term functional outcome in early psychosis

Kathryn Hess Bellwald, Martina Scolamiero, Kim Do

Early intervention in psychosis is crucial to improving patient response to treatment and the functional deficits that critically affect their long-term quality of life. Stratification tools are needed to personalize functional deficit prevention strategie ...

2021

giotto-tda: A Topological Data Analysis Toolkit for Machine Learning and Data Exploration

Kathryn Hess Bellwald, Anibal Maximiliano Medina Mardones

We introduce giotto-tda, a Python library that integrates high-performance topological data analysis with machine learning via a scikit-learn {compatible API and state-of-the-art C++ implementations. The library's ability to handle various types of data is ...

2021

Digital Reconstruction of the Neuro-Glia-Vascular Architecture

Kathryn Hess Bellwald, Henry Markram, Felix Schürmann, Corrado Cali, Alexis Arnaudon, Daniel Keller, Marwan Muhammad Ahmed Abdellah, Lida Kanari, Eleftherios Zisis, Michael Emiel Gevaert, Benoît Jean-Albert Coste, Thomas Brice Delemontex, Alessandro Enrico Foni

Astrocytes connect the vasculature to neurons mediating the supply of nutrients and biochemicals. They are involved in a growing number of physiological and pathophysiological processes that result from biophysical, physiological, and molecular interaction ...

OXFORD UNIV PRESS INC2021

From Trees to Barcodes and Back Again: Theoretical and Statistical Perspectives

Kathryn Hess Bellwald, Lida Kanari, Adélie Eliane Garin

Methods of topological data analysis have been successfully applied in a wide range of fields to provide useful summaries of the structure of complex data sets in terms of topological descriptors, such as persistence diagrams. While there are many powerful ...

2020

Twisting structures and morphisms up to strong homotopy

Kathryn Hess Bellwald

We define twisted composition products of symmetric sequences via classifying morphisms rather than twisting cochains. Our approach allows us to establish an adjunction that simultaneously generalizes a classic one for algebras and coalgebras, and the bar- ...

2020

Topological classification of retinal microglia during development

Kathryn Hess Bellwald, Lida Kanari

ASSOC RESEARCH VISION OPHTHALMOLOGY INC2019