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Geometry as a key to the virosphere: Unmasking the fundamental roles of geometry in virus structure, evolution and pathology

Lead Research Organisation: University of York
Department Name: Mathematics

Abstract

Society faces major challenges from viral diseases. The recent Zika and Ebola outbreaks are only two examples of the devastating impact of viral illnesses on human health, and viral pathogens infecting agriculturally important livestock and plants simultaneously reduce food production and inflict great annual financial losses worldwide. Viruses, however, also have positive impacts on health and ecology. They balance and stabilise our gut microbiome, preventing serious illnesses such as certain autoimmune diseases, and influence our climate owing to their roles in carbon cycling in the oceans. It is therefore paramount to better understand virus structure and function across the entire virosphere in order to control, and even take advantage of, viruses in medicine and biotechnology.
I have demonstrated previously that mathematical approaches developed in tandem with experimentalists are drivers of discovery of functionally crucial structural viral features, revealing their novel functional roles in viral life cycles, and enabling their exploitation in therapy and biotechnology. Previously developed mathematical approaches were geared towards a specific major sub-group of the virosphere. In this research programme, I will both broaden and deepen the development of novel mathematical techniques. Working in close collaboration with leading experimental groups, at a larger scale, I will identify functionally important geometric viral features in a number of major groups of viruses. This will include: geometric strand assortment in multipartite viruses, such as the major agricultural pathogen Bluetongue virus; the assembly of retroviruses like HIV, with applications to the construction of virus-like particles from viral components as vectors for gene editing and therapy; and the structure and evolution of viruses important for the gut microbiome and marine ecology. By linking structural features with their functions, I will address open problems regarding drivers of evolution in one of the simplest yet most important groups of biological entities. This approach will unmask evolutionarily conserved functional features that can be used as novel targets in anti-viral therapy, for the development of novel safer vaccines or repurposed in bionanotechnology.

Planned Impact

Society faces major challenges from viral disease, and novel anti-viral targets and strategies are therefore urgently required. I have demonstrated previously that mathematical techniques and models, when developed in close collaboration with experiment, can act as drivers of discovery of such solutions. Indeed, together with experimental collaborators, I am a named inventor on three patents that exploit our discovery of an RNA-encoded virus assembly instruction manual in single-stranded RNA viruses.
In this research programme, I will tackle geometric challenges in viruses that are not amenable to the approaches developed previously, but that are expected to also have functionally important contacts between viral genome and capsid protein that could act as novel drug targets. Examples include the common cold virus and poliovirus. After cleavage of the major capsid protein, these viruses undergo structural transitions of their capsids concomitant with rearrangements of their genomes, as an essential step in becoming infectious. I will develop novel geometric approaches to characterise such contacts between viral genome and capsid in these viruses at a molecular scale, and develop models that enable us to study their functions. Please refer to the Statement of Support of my Project Partner Peter Stockley. I expect that further patents will arise from this work, with the potential of developing anti-viral drugs against viruses such as polio and the common cold virus, as well as a broad range of other viruses that are amenable to the techniques that we are developing in this programme. A further example is Bluetongue virus, an agriculturally important virus of ruminants for which my Project Partner Polly Roy is an internationally leading expert. The mathematical techniques that I am developing for this collaboration will potentially also apply to other multipartite viruses such as influenza and measles.
The mechanistic understanding of how structural features contribute to efficient formation of viral particles will moreover be used to design virus-like particles (VLPs) by repurposing viral components. This will enable the production of safe vaccines (noninfectious repurposed capsid shells, presenting neutralising viral epitopes to the immune system on the outer surfaces), which is of strong interest to the WHO Polio Eradication Initiative, and will contribute to the demand for ever more effective vaccines against larger numbers of pathogens.
VLPs derived from lentiviruses such as HIV, which are another focus of this research programme in collaboration with my Project Partner Greg Towers, have major potential applications in gene therapy, for example in the treatment of cancer. Insights from this research programme such as the cooperative role of the genome in assembly will make a significant contribution to the design of lentiviral VLPs by making their assembly more efficient, which is currently a bottleneck in the widespread therapeutic exploitation of these gene vectors.
Finally, my geometric understanding of phages and their roles in the gut will contribute to a better understanding of how the equilibrium between phages and bacteria can be rebalanced as a means to prevent severe illnesses such as some autoimmune diseases, and ultimately may also help understand the role of marine phages in carbon cycling, a process that is important for our climate.
 
Title Exhibition at New Scientist Live 
Description Exhibition at New Scientist Live (ExCeL London, October 2023): Virtual Reality (VR) Experience "Exploring the Virosphere", with Rich Bingham (York) and computer artists (Goldsmiths & London Geometry). Our exhibits showcased our models of viral geometry in an interactive VR environment, and illustrated the effect of mutations on virus structure based on the example of SARS-CoV-2. 
Type Of Art Artistic/Creative Exhibition 
Year Produced 2023 
Impact We received plenty of feedback on the positive impact this exhibit has had on the perception of the power of mathematics in virology. It has also encouraged young participants to study a STEM subject. 
 
Title Reveal: The Art of Reimagining Scientific Discovery 
Description The University has designed a catalogue about the exhibition, which includes an image of my Hamilton Path visualization. Rebecca Kamen says: "Thanks again for sharing your exciting research. The geometry of viruses played an inspiring roll in the development of artwork." 
Type Of Art Artistic/Creative Exhibition 
Year Produced 2021 
Impact TBC 
URL https://www.american.edu/cas/museum/2021/reveal-scientific-discovery-kamen.cfm
 
Title VIANO (=virus & piano) 
Description VIANO (=virus & piano): Public engagement programme in collaboration with computer artists at Goldsmiths and London Geometry. Our exhibit will be shown at the following exhibitions: - "Collecting Covid", History of Science Museum, Oxford (one year from Sept 2022) - "VIANO and the Science Behind It", Beta X Gallery Space, Leicester (one week in 2022) - Aberystwyth Arts Centre (one month in 2023) - British Computer Society Gallery Space, London (3 months from October 2022) 
Type Of Art Artistic/Creative Exhibition 
Year Produced 2022 
Impact In response to feedback from these exhibitions, we have now been invited to present at New Scientist Live in London in October 2023. 
 
Title Virtual Reality (VR) experience: "Inside The HSV1, Herpes Simplex Virus in VR - Artistic variations" 
Description This VR exhibit was shown as part of the exhibition "The State of Us" (The Lowry Gallery in Manchester, 2019 - 2020); exhibition based on geometric models of virus architecture; with computer artist William Latham (Goldsmiths) and London Geometry). 
Type Of Art Artistic/Creative Exhibition 
Year Produced 2019 
Impact Feedback from visitors to the exhibition confirmed that it sparked their interest in science and mathematics and changed their perspective on the role of mathematics/modelling in virology. 
 
Description Under the auspices of this award, I solved open problems regarding the characterisation of protein container structure. In earlier work during the grant period, I developed models of virus architecture based on Archimedean lattices. These provided the basis for quantifying the impact of the geometric properties of a viral capsid on its stability and (dis)assembly via a percolation theory approach. This demonstrated, as hypothesised in the proposal, that geometry is important for function. We then tackled a major open problem regarding the modelling of protein containers that was recently published in PNAS. In this work, we developed an interaction network approach to characterise virus architecture. This overacting theory now forms the basis of many international collaborations with experimentalists worldwide that are ongoing beyond the grant and form the basis of several publications in high-profile journals that are either under review or are going to be submitted shortly towards the end of the grant period. I was also able to demonstrate, as hypothesised in the proposal, that interactions between specific sites (signals) in a viral genome and its surrounding capsid are important for infection. We demonstrated, for the first time, that these signals orchestrate different stages of a viral life cycle, coordinating both genome packaging and release. I was moreover able to validate my hypothesis regarding the evolution of such signals in collaboration with experimentalists working in directed evolution. This work was published in Science, and follow-up work is ongoing and will be submitted before the end of the grant period. As a result of this research programme, we now understand the interplay between protein container architecture and its packaged nucleic acid. This has enabled me to address a major problem in Gene Therapy. I am in the process of exploiting this under the auspices of an EPSRC IAA in collaboration with a leading gene therapy expert.

Further details on specific outcomes:

In collaboration with Antoni Luque I have discovered a design principle for icosahedral structures that has solved several open problems in structural virology. It contains the seminal Caspar-Klug Theory as a special case. A paper reporting these results has been submitted to Nature Communications.

In collaboration with my PDRA Giuliana Indelicato I have developed a mathematical model of the structural capsid transitions in the common cold virus, that is an essential step in its life cycle and a prerequisite for infectivity of the virus.

I have developed a mathematical model of infectious interfering particles exploiting packaging signal mediated assembly.

Since the last reporting period, there has been significant interest in these results from the biological community, in particular for nanotechnology applications of (viral) protein containers, and several new collaborations have started as a result, as well as a number of high profile invitations to present this work as key findings at major international meetings. In addition, there has been strong interest from biophysicists studying virus (dis)assembly. We have been able to use the mathematical classification (corresponding to part I of the original proposal) to address fundamental open questions in the (dis)assembly of virus capsids as promised in part II of the original proposal. Progress so far fully addresses, and indeed exceeds, the items listed in the research programme.

Most recently, I have discovered packaging signals in coronaviruses together with my research team and a patent has been filed. We have also modelled the within host dynamics of coronaviral infections.

The work on virus structure with Antoni Luque has predicted a novel mechanism in viral evolution. This has recently been observed in a laboratory environment, and a joint paper with experimentalists at the ETH Zurich, that has been published in Science in June 2021.

Our mathematical models of virus architecture has moreover formed the basis of a new percolation theory of viruses, that quantifies how virus architecture impacts on a viral capsid's propensity to break apart and release the genome. A key finding is that the geometry of the virus and the topology of the interaction network between protein units has a major impact on a virus' resistance to fragmentation. A paper on this topic appeared in ACS Nano in 2021, and I have presented plenary and invited talks on this topics at international conferences on virus nanotechnology.

Most recently, we developed a full theory of virus architecture based on interaction networks that closes the circle starting with the early viral tiling models in 2004. This theory is now applicable to protein containers that have structures different from viruses and therefore fall out of the scope of all existing theories of virus architecture. This work forms the basis of ongoing work with many different groups worldwide (University of Sydney, University of Krakow, University of Lausanne).

In the final part of the grant period, I was also able to demonstrate that the geometric models of protein cage architecture impact on their function, for example, different protein container architectures have distinct stability properties, impacting on both genome packaging and genome release. I demonstrated that interactions between protein container and genome/packaged nucleic acids play key roles at different stages of a viral life cycle, and I developed methods to identify the molecular characteristics of the nucleic acid signals involved in these interactions. In particular, I showed that their structures and positions are dependent on container geometry, and that protein container architecture and nucleic acid must be co-designed for optimal packing. We are now exploiting these insights in collaboration with gene therapy specialists under the auspices of an EPSRC-IAA.
Exploitation Route These results support the development of novel anti-viral strategies.

Most excitingly, recent developments enable us to repurpose the RNA encoded virus assembly manual for the improvements of vectors in gene therapy, allowing us to address a bottleneck in vector production. I am actively collaborating with gene therapy specialists under the auspices of an EPSRC IAA to exploit my modelling in gene therapy.
Sectors Agriculture

Food and Drink

Healthcare

Manufacturing

including Industrial Biotechology

Pharmaceuticals and Medical Biotechnology

URL https://www-users.york.ac.uk/~rt507/
 
Description Public outreach: Results regarding the new design principle for icosahedral architectures developed in part I of my research programme have formed the basis of a collaboration with computer artists, who have used my models to render viruses in 3D, allowing the general public to experience viruses in a virtual reality (VR) environment. A VR presentation designed in collaboration with Prof William Latham from Goldsmiths and his team was shown after myIMA Gold Medal Award Lecture at the Royal Society in 2019. This has been further developed into a contribution to the arts exhibition "The State of Us" at The Lowry Gallery in Manchester ("Inside The HSV1, Herpes Simplex Virus in VR - Artistic variations" as part of the exhibition "The State of Us"; 9th November 2019 - 23rd February 2020), and is now on show at the Centre Pompidou in Paris (as part of the exhibition "DANS LE CADRE DE MUTATIONS / CRÉATIONS"; 26th February- 20th April 2020). We have recently (December 2020) been awarded a grant by the Wellcome Trust for an outreach programme generating a VR experience based on the discoveries made under the auspices of my EPSRC Established Career Fellowship and Royal Society Wolfson Fellowship, as well as my joint Wellcome Trust Investigator Award with Stockley from the University of Leeds. We have created the VIANO (=virus & piano) platform to illustrate the impact of mutations on virus structure based on the example of the Coronaviral spike protein. In 2023, we presented our VR models of viral geometry at EXCEL London. Gene Therapy: My results from this grant provide a solution to a major problem in gene therapy. Most therapeutic nucleic acids are packaging very poorly into their protein containers. My modelling suggests that the viral packaging mechanism we discovered must be superimposed on the therapeutic cargoes to achieve more efficient packaging. As this mechanism is dependent on protein container architecture as demonstrated under the auspices of this EPSRC grant, it must be adapted to the specific geometric properties of the protein shell (viral vector). I am currently collaborating with a leading clinician working in gene therapy to apply my theory to one of the major vector systems used in the clinics (with funding from an EPSRC IAA).
Sector Education,Healthcare,Manufacturing, including Industrial Biotechology,Culture, Heritage, Museums and Collections,Pharmaceuticals and Medical Biotechnology
Impact Types Cultural

Societal

Economic

 
Description H C Roscoe Award
Amount £64,511 (GBP)
Organisation British Medical Association (BMA) 
Sector Charity/Non Profit
Country United Kingdom
Start 08/2021 
End 08/2024
 
Description Investigator Award in Science
Amount £1,800,000 (GBP)
Organisation Wellcome Trust 
Sector Charity/Non Profit
Country United Kingdom
Start 09/2022 
End 09/2027
 
Description Norther Accelerator Enterprise fellowship (NACCF3113)
Amount £29,965 (GBP)
Organisation United Kingdom Research and Innovation 
Sector Public
Country United Kingdom
Start 01/2025 
End 05/2025
 
Description Understanding RNA Packaging Signals In Foot-and-mouth Disease Virus (FMDV) For Improved Vaccine Production
Amount £421,800 (GBP)
Funding ID BB/V008323/1 
Organisation Biotechnology and Biological Sciences Research Council (BBSRC) 
Sector Public
Country United Kingdom
Start 11/2020 
End 10/2023
 
Description VIANO (Research Enrichment - Public Engagement)
Amount £63,034 (GBP)
Funding ID 110146/Z/15/B 
Organisation Wellcome Trust 
Sector Charity/Non Profit
Country United Kingdom
Start 02/2021 
End 01/2022
 
Title COVID-19 patient data from a study in Singapore curated for input into an in silico infection model 
Description Within-host models of COVID-19 infection dynamics enable the merits of different forms of antiviral therapy to be assessed in individual patients. A stochastic agent-based model of COVID-19 intracellular dynamics is introduced here, that incorporates essential steps of the viral life cycle targeted by treatment options. Integration of model predictions with an intercellular ODE model of within-host infection dynamics, fitted to patient data, generates a generic profile of disease progression in patients that have recovered in the absence of treatment. This is contrasted with the profiles obtained after variation of model parameters pertinent to the immune response, such as effector cell and antibody proliferation rates, mimicking disease progression in immunocompromised patients. These profiles are then compared with disease progression in the presence of antiviral and convalescent plasma therapy against COVID-19 infections. The model reveals that using both therapies in combination can be very effective in reducing the length of infection, but these synergistic effects decline with a delayed treatment start. Conversely, early treatment with either therapy alone can actually increase the duration of infection, with infectious virions still present after the decline of other markers of infection. This suggests that usage of these treatments should remain carefully controlled in a clinical environment. 
Type Of Material Database/Collection of data 
Year Produced 2021 
Provided To Others? Yes  
URL http://datadryad.org/stash/dataset/doi:10.5061/dryad.sn02v6x38
 
Description Alena Khmelinskaia, University of Munich 
Organisation Ludwig Maximilian University of Munich (LMU Munich)
Country Germany 
Sector Academic/University 
PI Contribution Alena's lab is designing protein cages that self-assemble from purpose-designed protein units. My modelling informs the design process. The mechanistic understanding arising from my geometry-informed understanding of particle assembly provides insights into how particle polymorphism can be avoided, and how the outcome can be biased to a specific type of container structure.
Collaborator Contribution Alena's lab is carrying out the experimental work.
Impact A paper is under review.
Start Year 2022
 
Description Angela Steinauer 
Organisation University of Lausanne
Country Switzerland 
Sector Academic/University 
PI Contribution I have used my insights into protein container geometry and the roles of nucleic acids in their assembly to computationally optimise nucleic acids for packaging.
Collaborator Contribution Alena's work has validated that these computationally optimised nucleic acids exhibit significantly enhanced packaging properties. This provides proof-of-principle for the computational strategy I am now applying in Gene Therapy.
Impact Demonstration that the packaging signal mediated assembly mechanism has evolved in a container assembled from a bacterial enzyme (see our Science paper). Demonstration that the packaging signal distribution depends on container architecture and that packaging efficiency can be enhanced by over 20 fold (paper will be submitted shortly).
Start Year 2020
 
Description Greg Towers 
Organisation University College London
Country United Kingdom 
Sector Academic/University 
PI Contribution I developed mathematical models of molecular frustration, that we applied together to HIV.
Collaborator Contribution His expertise in HIV
Impact A publication, listed for this award, has resulted from this collaboration. Further work is ongoing.
Start Year 2021
 
Description Melanie Ott, Gladstone Institutes 
Organisation Gladstone Institutes
Country United States 
Sector Charity/Non Profit 
PI Contribution I have predicted aspects of the genome packaging mechanism in coronaviruses.
Collaborator Contribution These have been validated by the Ott lab.
Impact A joint paper is in preparation.
Start Year 2021
 
Description Simon Waddington 
Organisation Great Ormond Street Hospital (GOSH)
Country United Kingdom 
Sector Hospitals 
PI Contribution I have predicted the packaging mechanism for a gene therapy vector.
Collaborator Contribution Simon is testing those predictions experimentally.
Impact An EPSRC IAA award and an MRC IAA award to optimise a gene therapy vector.
Start Year 2022
 
Description US Fullbright Scholar visiting my team 
Organisation University of Connecticut
Country United States 
Sector Academic/University 
PI Contribution I have supported the grant application, and we are currently working on assembly models for viruses.
Collaborator Contribution She is an experimentalist, and we are using her data to develop our models.
Impact It is multi-disciplinary. Prof Carol Teschke is a virologist.
Start Year 2022
 
Description Yusuke Atsuma, University of Krakau 
Organisation Jagiellonian University
Country Poland 
Sector Academic/University 
PI Contribution I have used my interaction network approach (see our PNAS paper published in Dec 2023) to predict other structures that can be formed from the same type of protein building block.
Collaborator Contribution The Atsuma lab are structural biologists. They provide structural data on different particle architectures that can assemble from the same type of building block.
Impact A joint paper is in preparation.
Start Year 2022
 
Title COMPOUNDS FOR TREATING HBV 
Description Disclosed are methods of treating hepatitis B virus (HBV) and inhibiting replication of HBV in a mammal comprising administering to the mammal in need thereof, e.g., administering a compound selected from the group consisting of compounds P1-P29 (as described herein), or a stereoisomer or a pharmaceutically acceptable salt thereof. For example, compound P1 has the following structure: (I) 
IP Reference WO2019241631 
Protection Patent application published
Year Protection Granted 2019
Licensed Yes
Impact The NIH has used this in order to identify small molecular weight lead compounds against viral targets, that are currently tested by expert groups.
 
Title Coronaviral packaging signals 
Description The present invention relates to virus like particles, vaccines and delivery vectors utilising coronavirus packaging signals, and therapeutic agents targeting such packaging signals. 
IP Reference GB2011609.1 
Protection Patent application published
Year Protection Granted 2020
Licensed No
Impact The Patent went into the next phase 27/07/2021 GB 2011609.1; PCT application: 27th July 2021 [JAK-DMS.FID6166638]
 
Description Article about work in Womanthology magazine - Bringing together virology and mathematics to help solve the COVID-19 puzzle - Reidun Twarock, Professor of Mathematical Biology at the University of York 
Form Of Engagement Activity A magazine, newsletter or online publication
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact Article about work in Womanthology magazine
Year(s) Of Engagement Activity 2020
URL https://www.womanthology.co.uk/bringing-together-virology-and-mathematics-to-help-solve-the-covid-19...
 
Description BBC Documentary with Hannah Fry 
Form Of Engagement Activity A broadcast e.g. TV/radio/film/podcast (other than news/press)
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact Contribution to a BBC Documentary with Hannah Fry: "Magic Numbers: Hannah Fry's Mysterious World of Maths", Episode 1 ("Numbers as God")
Shown 11th October 2018 at 3pm on BBC4 (https://www.bbc.co.uk/programmes/b0bn6wtp)
Year(s) Of Engagement Activity 2018
URL https://www.youtube.com/watch?v=cyvDG8qjt-M
 
Description Bacterial viruses: From virus discovery to Mathematical principles 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Postgraduate students
Results and Impact Annual Joint Mathematics meeting, San Francisco
Year(s) Of Engagement Activity 2024
 
Description Colloquium talk 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Talk for Scuola Normale Superiore di Pisa on Mathematical Virology: A Novel Perspective on Virus Structure, Assembly and Disassembly with Applications in Virus Nanotechnology
Year(s) Of Engagement Activity 2021
 
Description Colloquium talk at the Department of Mathematics, UCL - Mathematical Virology: Geometry as a key to the discovery of novel anti-viral solutions 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach National
Primary Audience Professional Practitioners
Results and Impact Colloquium talk
Year(s) Of Engagement Activity 2020
 
Description Colloquium talk at the Department of Mathematics, University of Leeds - Mathematical Virology: Geometry as a key to the virosphere 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach Regional
Primary Audience Professional Practitioners
Results and Impact Colloquium talk
Year(s) Of Engagement Activity 2021
 
Description Coverage of work on PHYS.ORG website following publication of article in PLOS Pathogens 
Form Of Engagement Activity A press release, press conference or response to a media enquiry/interview
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Coverage of work by a team from the Universities of Leeds and York that has for the first time shown how certain viruses 'package up' genetic code to allow them to infect cells. Professor Peter Stockley (Molecular and Cellular Biology), one of the supervisors of the research, is quoted.
Also in:
Labroots
The Medical News
Science Codex
University news
Year(s) Of Engagement Activity 2021
URL https://phys.org/news/2021-01-unravelling-mystery-viruses-infectious.html
 
Description Development of the VIANO 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Under the auspices of our Welcome Research Enrichment - Public Engagement grant (110146/Z/15/B)
in collaboration with computer artists at Goldsmiths and London Geometry, £63k. An exhibition and associated mobile app are in preparation
Year(s) Of Engagement Activity 2021
 
Description Exhibition - Centre Pompidou in Paris 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact Collaboration with computer artist William Latham from Goldsmiths and his team, rendering geometric models of virus architecture in a viral environment. Work displayed at the Centre Pompidou in Paris (as part of the exhibition "Dans Le Cadre De Mutations/Creations" 26th Feb - 20th April 2020
Year(s) Of Engagement Activity 2020
URL https://www.centrepompidou.fr/cpv/agenda/event.action?param.id=FR_R-f146fa16402582d562607c9d2cbeee3e...
 
Description Exhibition - The State of Us 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact Collaboration with computer artist William Latham form Goldsmiths and his team, rendering geometric models of virus architecture in a viral reality environment. This work was exhibited at The Lowry Gallery in Manchester (Inside The HSV1, Herpes Simplex Virus in VR - Artistic Variatins as part of the exhibtion "The State of us" - 9th November - 23rd February 2020
Year(s) Of Engagement Activity 2020
URL https://thelowry.com/whats-on/the-state-of-us/
 
Description Guest Editor of a Special Issue on Medicine and Biology of Mathemetics Today 2019 with Ellen Brooks-Pollocks 
Form Of Engagement Activity A magazine, newsletter or online publication
Part Of Official Scheme? No
Geographic Reach National
Primary Audience Public/other audiences
Results and Impact Guest Editor of a Special Issue on Medicine and Biology of Mathemetics Today 2019 with Ellen Brooks-Pollocks
Year(s) Of Engagement Activity 2019
URL https://ima.org.uk/12705/biology-and-medicine-editorial/
 
Description INI Workshop organisation 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact I co-organised the INI workshop "Non-equilibrium Physics of Self-Assembly: from Viruses to Nano-containers", ICMS in Edinburgh, November 2023 (with T. Liverpool, R. Bruinsma, R. Bennett, B. Chakrabarti) as part of the Isaac Newton Institute Programme "New statistical physics in living matter: non equilibrium states under adaptive control"
Year(s) Of Engagement Activity 2023
 
Description Invited Online Talk at GeoTop2022 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Mathematical Virology: Geometry in the Fight against Viral Infection, GeoTop2022, December 2022
Year(s) Of Engagement Activity 2022
 
Description Invited Seminar Talk at the Centre for Virus Research, Glasgow 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach National
Primary Audience Professional Practitioners
Results and Impact Virus Structure, Assembly and Evolution through the lens of Mathematical Virology: Novel Opportunities for Virus Nanotechnology and Anti-Viral Therapy, Centre for Virus Research, Glasgow, April 2022
Year(s) Of Engagement Activity 2022
 
Description Invited Session Leader at the Gordon Conference on Physical Virology 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Gordon Conference on Physical Virology, Italy, Invited as Session Leader, January 2023
Year(s) Of Engagement Activity 2023
 
Description Invited Talk - Geometry as a key to the virosphere: Mathematics as a driver of discovery in virlogy and anti-viral therapy, Oxford 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Invited Talk - Geometry as a key to the virosphere: Mathematics as a driver of discovery in virlogy and anti-viral therapy, Oxford - October 2019
Year(s) Of Engagement Activity 2019
 
Description Invited Talk - Geometry as a key to the virosphere: Mathematics as a driver of discovery in virlogy and anti-viral therapy, Twarock, Edinburgh 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Invited Talk - Edinburgh - Geometry as a key to the virosphere: Mathematics as a driver of discovery in virlogy and anti-viral therapy, November 2019
Year(s) Of Engagement Activity 2019
 
Description Invited Talk - Geometry as a key to the virosphere: New Insights into Virus Structure, Assembly, Evolution and Therapy 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Invited Talk - March 2019
Year(s) Of Engagement Activity 2019
URL https://www.nottingham.ac.uk/mathematics/events/cmmb/seminarcmmb12032019.aspx
 
Description Invited Talk - Gordon Conference on Physical Virology 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Invited Talk - A Code Hidden Within a code: Deciphering RNA-Encoded Assembly Instructions in Viral Genomes for Applications in Bionantechnology and Anti Viral Therapy
Year(s) Of Engagement Activity 2019
URL https://www.grc.org/physical-virology-conference/2019/
 
Description Invited Talk - IMA Gold Medal Lecture, Royal Soceity 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Geometry as a Weapon in the fight against the viral disease
Year(s) Of Engagement Activity 2019
URL https://ima.org.uk/11396/ima-gold-medal-lecture-2019-geometry-as-a-weapon-in-the-fight-against-viral...
 
Description Invited Talk - Isaac Newton Institiute - Christmas Dinner 2019 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact INI Christmas Dinner - Viral Tiling Theory and Beyond: Geometry as a Key to the Virosphere
Year(s) Of Engagement Activity 2019
 
Description Invited Talk - Viral gemome conformations and contacts across different life-cycle stages 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Invited Talk - 5-7 FEBRUARY 2020, BARCELONA, SPAIN, Novel Concepts in Virology
Year(s) Of Engagement Activity 2020
URL https://viruses2020.sciforum.net/conferences_files/265/customs/79a099de6c4be4a8c2eb08f5806e290b.pdf
 
Description Invited Talk - Visualising 3D structures 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Invited Talk - Visualising 3D structures - June 2019 - talk with William Latham (Goldsmiths)
Year(s) Of Engagement Activity 2019
 
Description Invited Talk - Visualising 3D virus structures - The Frances Crick Institute 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Invited Talk - Feb 2019 - Frances Crick Institute
Year(s) Of Engagement Activity 2019
 
Description Invited Talk Mathematical Virology: The Mathematics of Viral Geometry as a driver of discovery in virlogy and anti-viral therapy 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Invited Talk - University of Leipzig - November 2019
Invited Talk Mathematical Virology: The Mathematics of Viral Geometry as a driver of discovery in virlogy and anti-viral therapy
Year(s) Of Engagement Activity 2019
 
Description Invited Talk Viruses and Geometry: Implications for virus assembly, evolution and therapy 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Invited Talk - Gregynog 2019 -
Year(s) Of Engagement Activity 2019
URL https://gregynogwmc.github.io/Gregynog2019Timetable.pdf
 
Description Invited Talk at Oxford Mathematics Society 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact The Invariants, Oxford Mathematics Society, invited talk: Mathematical Virology: Geometry as a key to the virosphere
Year(s) Of Engagement Activity 2021
 
Description Invited talk at Microbiology Society Annual Conference 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Integrative virology reveals the regulatory roles of viral genomes in virus assembly and genome release, invited talk in the session "Integrative virology: a celebration of multidisciplinarity", Microbiology Society Annual Conference, Birmingham International Convention Centre, April 2023
Year(s) Of Engagement Activity 2023
 
Description Invited talk at Pacifichem 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Invited talk in the session Chemistry and applications of protein and virus-based nanotechnologies, models of viral geometry informing nanocontainer design in virus nanotechnology.
Year(s) Of Engagement Activity 2021
 
Description Invited talk at UNESCO-Finland conference 2020, April 2020 - Virus Structure through a Mathematical Microscope 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Invited talk
Year(s) Of Engagement Activity 2020
URL https://www.ccefinland.org/7th-symposium
 
Description Invited talk at the British Applied Mathematics Colloquium (BAMC2023) 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach National
Primary Audience Professional Practitioners
Results and Impact Viral geometry as a key to understanding viral infections, British Applied Mathematics Colloquium (BAMC2023), Invited talk in the special session "New mathematical approaches in the life sciences", Bristol, April 2023
Year(s) Of Engagement Activity 2023
 
Description Invited talk at the IMA Early Career Mathematicians' Autumn Conference, UCL, November 2018 - 'Viruses and Geometry: Mathematics enables discovery in virology and creates new opportunities in bionanotechnology and anti-viral therapy' 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach National
Primary Audience Professional Practitioners
Results and Impact Talk title: Viruses and Geometry: Mathematics enables discovery in virology and creates new opportunities in bionanotechnology and anti-viral therapy
Year(s) Of Engagement Activity 2018
URL https://ima.org.uk/10273/ima-early-career-mathematicians-autumn-conference-2018/
 
Description Invited talk at the Institute of Physics 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach National
Primary Audience Professional Practitioners
Results and Impact Mathematical Virology in the Fight against Viral Infection, invited talk organised by the Biological Physics Group and the Medical Physics Group of the Institute of Physics on the "Physics of Infection", London, September 2022
Year(s) Of Engagement Activity 2022
 
Description Mathematical Virology: Geometry as a key to the virosphere, Edinburgh Mathematical Society 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact A talk at Edinbrugh Mathematical Society on Mathematical Virology: Geometry as a key to the virosphere
Year(s) Of Engagement Activity 2021
 
Description Mathematical Virology: Geometry as a key to the virosphere, Geometric and Asymptotic Group Theory with Applications 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Talk at the Geometric and Asymptotic Group Theory with Applications conference on Mathematical Virology: Geometry as a key to the virosphere
Year(s) Of Engagement Activity 2021
 
Description Mathematics Today - Geometry as a Weapon in the Fight Against Viruses 
Form Of Engagement Activity A magazine, newsletter or online publication
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Mathematics Today Article - Geometry as a Weapon in the Fight against Viruses
Year(s) Of Engagement Activity 2019
URL https://www-users.york.ac.uk/~rt507/assets/files/Mathematics_Today_Twarock_2019.pdf
 
Description Mini Symposium at the Annual Meeting of the Society for Mathematical Biology 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach National
Primary Audience Professional Practitioners
Results and Impact I have organised a mini-symposium at the Annual Meeting of the Society for Mathematical Biology (SMB2021), 13-17 June 2021 (virtual) entitled "Models of Viral Geometry and Assembly in Antiviral Therapy and Nanotechnology" with Prof Roya Zandi (Riverside)
Year(s) Of Engagement Activity 2021
 
Description Online coverage of Virtual Reality outreach work 
Form Of Engagement Activity Engagement focused website, blog or social media channel
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact Online coverage of Virtual Reality outreach work
Year(s) Of Engagement Activity 2020
URL https://www.gold.ac.uk/news/visualising-covid-19-with-vr/
 
Description Opening Plenary Talk at IOP Workshop 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach Regional
Primary Audience Professional Practitioners
Results and Impact Mathematical Virology in the Fight Against Viral Infections IOP Workshop "The Physics of Infection", September 2022
Year(s) Of Engagement Activity 2022
 
Description Plenary Talk 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Talk at Research & Innovation Week, Lakehead University, Canada on 'Viral Disease through the lens of geometry'
Year(s) Of Engagement Activity 2022
 
Description Plenary Talk 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact DNA Computing and Molecular Programming; Viral Geometry: A Novel Perspective on Virus Assembly and Disassembly with Applications in Virus Nanotechnology
Year(s) Of Engagement Activity 2021
 
Description Plenary Talk 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Talk at SIAM (Society of Industrial and Applied Mathematics) Conference on Applied Algebraic Geometry on 'Coxeter Groups and Lattice Theory Reveal Hidden Symmetries in Viruses'
Year(s) Of Engagement Activity 2021
 
Description Plenary talk at Australian Mathematical Society - Mathematical Virology: Geometry as a key to the discovery of novel anti-viral solutions 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Invited talk
Year(s) Of Engagement Activity 2020
URL https://austms.org.au/special-interest-groups/wimsig/wimsig-qas/austms-2020-qa/#Twarock
 
Description Plenary talk at Mathematics Professional Festival - for high school teachers, Department of Mathematical Sciences, University of Copenhagen, November 2018 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach National
Primary Audience Schools
Results and Impact Talk title: Viruses under the mathematical microscope: An opportunity to demonstrate the impact of mathematics in biology in the classroom environment
Year(s) Of Engagement Activity 2018
 
Description Plenary talk at SIAM (Society of Industrial and Applied Mathematics) UKIE annual meeting 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Viral geometry as a key to understanding viral infections, plenary talk, SIAM (Society of Industrial and Applied Mathematics) UKIE annual meeting, Trinity College Dublin, April 2023
Year(s) Of Engagement Activity 2023
URL https://www.numerical.rl.ac.uk/siamukie/meetings.html
 
Description Programme Committee member of the GEOMPACK online seminar series 
Form Of Engagement Activity A formal working group, expert panel or dialogue
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact This international seminar series, organised by Adil Mughal from Aberystwyth, is dedicated to applications of geometry and packing in material structure and biology.
See:
https://geompack.com/organisers/
Year(s) Of Engagement Activity 2020,2021,2022
 
Description Seminar Talk 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact 1. Models of virus structure and assembly as a guide for rational design in virus nanotechnology, Bonn, August 2022
Year(s) Of Engagement Activity 2022
 
Description Seminar Talk at Bristol 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach National
Primary Audience Professional Practitioners
Results and Impact Viruses Through the Lens of Geometry: Novel Opportunities for Antiviral Therapy and Virus Nanotechnology, Bristol, October 2022
Year(s) Of Engagement Activity 2022
 
Description Seminar Talk at University of Delaware 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Seminar talk at University of Delaware on Virus Structure and Assembly Through the Lens of Geometry: Novel Opportunities for Anti-viral Therapy and Virus Nanotechnology
Year(s) Of Engagement Activity 2022
 
Description Seminar Talk at the University of Halle 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Virus Structure and Assembly Through the Lens of Geometry: Novel Opportunities for Antiviral Therapy and Virus Nanotechnology, University of Halle, June 2022
Year(s) Of Engagement Activity 2022
 
Description Seminar talk at the Department of Mathematics, University of Minnesota - Mathematical Virology: Geometry as a key to the discovery of novel anti-viral solutions 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Seminar talk
Year(s) Of Engagement Activity 2020
 
Description Seminar talk at the University of Nottingham, March 2019 - 'Viruses and Geometry: New Insights into Virus Structure, Assembly, Evolution and Therapy' 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach Local
Primary Audience Professional Practitioners
Results and Impact Talk title: Viruses and Geometry: New Insights into Virus Structure, Assembly, Evolution and Therapy
Year(s) Of Engagement Activity 2019
URL https://www.nottingham.ac.uk/mathematics/events/cmmb/seminarcmmb12032019.aspx
 
Description Talk at Biennial Conference on Phage/Virus Assembly 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Talk on 'A Mathematician's Guide to Virus-Like Particle Design'
Year(s) Of Engagement Activity 2021
 
Description Talk at Maths Week Ireland, National Concert Hall Dublin, October 2018 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach National
Primary Audience Schools
Results and Impact Talk about my work and its applications in health to an audience of 16 year old transition year students (interlude between Junior Certificate and Leaving Certificate courses).
Year(s) Of Engagement Activity 2018
URL http://www.mathsweek.ie/2018/
 
Description Talk at Tenth Virus Assembly Symposium 2022 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Packaging signal-mediated assembly beyond icosahedral viruses: Coronavirus and a virus-like nucleocapsid from a bacterial protein as case studies, Tenth Virus Assembly Symposium 2022, Portugal, October 2022
Year(s) Of Engagement Activity 2022
 
Description Talk at The Roslin Institute, Edinburgh, November 2018 - 'An RNA-encoded virus assembly manual: mechanisms and consequences for viral evolution and therapy' 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach Local
Primary Audience Professional Practitioners
Results and Impact Talk title: An RNA-encoded virus assembly manual: mechanisms and consequences for viral evolution and therapy
Year(s) Of Engagement Activity 2018
 
Description Talk at the University of Hamburg, InterACt Series - Mathematical & Computational Virology: Novel Opportunities for Anticoronaviral Therapy 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Talk
Year(s) Of Engagement Activity 2021
URL https://www.dashh.org/events/hamburg_covid_19_series/prof_twarock__february_24th_2021/index_eng.html
 
Description The regulatory roles of phage genomes in assembly and genome release 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Undergraduate students
Results and Impact Seminar talk Gladstone Institute, San Francisco, USA
Year(s) Of Engagement Activity 2024
 
Description US based Invited talk 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Mathematical Virology in the Fight against Viral Infection, Mathematical Molecular Biosciences seminar series (US based), September 2022
Year(s) Of Engagement Activity 2022
 
Description VIANO 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Schools
Results and Impact A public engagement programme funded via my Wellcome Research Enrichment - Public Engagement grant (110146/Z/15/B) in collaboration with computer artists at Goldsmiths and London Geometry (£63k). The following venues have already been secured for the exhibition:

1. History of Science Museum, Oxford, from Sept 27th 2022 for one year as a major part of the new exhibition "Collecting Covid". A range of VIANO public outreach events will be organised by HSM during that time period.
2. Beta X Gallery Space, Leicester, for one week from 10th September 2022 at a series of events and exhibitions linked to British Science week in Leicester. The events include: (i) "Second Saturday", a monthly 1 day young-person arts / music event at the LCB Depot in Leicester and at the LCB's Music Season, aimed at teenagers and young adults; (ii) an exhibition of "VIANO and the Science Behind It" at the Beta X Gallery space in Leicester.
3. Aberystwyth Arts Centre, from June 1st 2023 for 1 month. Public Outreach events will be organised in association with the Maths Department at The University of Aberystwyth. The exhibition also coincides with The Newton Satellite Meeting of the Isaac Newton Institute at the University of Aberystwyth, and VIANO will be visited by the conference attendees at a reception.
4. British Computer Society Gallery Space, London in October 2022 for 3 months.
Year(s) Of Engagement Activity 2022,2023
 
Description Viral geometry as a key to understanding viral infections 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Postgraduate students
Results and Impact Vision Spring School, Germany
Year(s) Of Engagement Activity 2024
 
Description Viral geometry as a key to understanding viral infections 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact German Biophysical society
Year(s) Of Engagement Activity 2024
 
Description Virtual Reality (VR) experience 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Schools
Results and Impact "Inside The HSV1, Herpes Simplex Virus in VR - Artistic variations", as part of the exhibition "The State of Us" (The Lowry Gallery in Manchester, 2019 - 2020); this exhibition showcases my geometric models of virus architecture with computer artist Prof William Latham (Goldsmiths) and London Geometry).
Year(s) Of Engagement Activity 2019
URL https://www.gold.ac.uk/news/visualising-covid-19-with-vr/