Modelling, analysis and simulation of spatial patterning on evolving surfaces

Lead Research Organisation: University of Sussex
Department Name: Sch of Mathematical & Physical Sciences

Abstract

For many centuries, the problem of pattern formation has fascinated experimentalists and theoreticians alike. Understanding how spatial pattern arises during growth development is a central but still unresolved issue in developmental biology. It is clear that genes play a crucial role in embryology but the study of genetics alone cannot explain how the complex mechanical and chemical spatio-temporal signalling cues which determine cell fate are set up and regulated in the early embryo. These signals are a consequence of many nonlinear interactions and mathematical modelling and numerical computation have an important role to play in understanding and predicting the outcome of such complex interactions during growth development.

Several studies have shown that reaction-diffusion type models appear to be excellent for describing gross patterning behaviour in developmental biology. Since the seminal work of Turing in 1952, which showed that a system of reacting and diffusing chemical morphogens could evolve from an initially uniform spatial distribution to concentration profiles that vary spatially - a spatial pattern - many models have been proposed exploiting the generalised patterning principle of short-range activation, long-range inhibition elucidated by Meinhardt of which the Turing model is an example, and which in fact is common to many patterning paradigms based on different biological hypotheses. Turing's hypothesis was that one or more of the morphogens played the role of a signaling chemical, such that cell fate is determined by levels of morphogen concentration. Although invalid on stationary domains, our recent results prove that in the presence of domain growth, short-range inhibition, long-range activation as well as activator-activator mechanisms have the potential of giving rise to the formation of patterns only during growth development of the organism. These results offer us a unique opportunity to model, analyse and simulate new non-standard mechanisms for pattern formation on evolving surfaces, a largely unchartered research area. Furthermore, experimental biochemists are now able to design new experiments involving non-standard mechanisms to validate our theoretical predictions. This study offers to address one of the main objections to the Turing mechanism, namely that it operates only under very restrictive and biologically unrealistic conditions.

Hence, we propose to derive mathematical models, carry-out theoretical stability analysis and compute numerical solutions on realistic, geometrically accurate complex evolving surfaces as well as carrying-out applications in developmental biology and cell motility. More specifically we want to (a) derive models for pattern formation on evolving surfaces, (b) derive non-standard mechanisms capable of generating patterns only during surface evolution, (c) derive diffusion-driven instability conditions on evolving surfaces, (d) derive bifurcation theory to study partial differential equations on evolving domains and surfaces, (e) numerically compute solutions of the models and (f) to use biological, chemical and biomedical data to validate our theoretical predictions. The results obtained will have wider implications in the areas of developmental biology, cell motility, biomedicine, textiles, ecology, semiconductor physics, material science, hydrodynamics, astrophysics, chemistry, meteorology, economics, cancer biology, mathematics, numerical analysis as well as other non-traditional fields such as languages where such mechanisms are readily applicable. For examples, one could study (as competition models)the survival or extinction of languages due to migration where the inhabitants' environment continuously changes.

Planned Impact

The proposed research will impact four critical research areas: (i) modelling and analysis, (ii) numerical analysis, (iii) computations and (iv) applications to spatial pattern formation on evolving surfaces during growth development in developmental biology and to cell movement and deformation in cell motility. The derivation of the mathematical models in non-homogeneous environments on evolving surfaces will necessitate significant extension of prevailing mathematical techniques for analysing partial differential equations on evolving surfaces. Numerical analysis will benefit from the development of innovative numerical methods to solve the model equations on evolving surfaces. The surface finite element method is a natural candidate for solving partial differential equations on complex real-world evolving biological surfaces. On the other hand, particle methods coupled with generalised level set methods are perfect for treating splitting and reconnecting evolving surfaces; fundamental to understanding models for cell movement and deformation in cell motility.

The main impact of this proposal lies in its applications to biomedical, chemical and biological systems. For example, in cell motility, the modelling and simulations of cell movement will give rise to the possibility of experimentalists being able to introduce mutation within part of the cell population to study how it affects cell behaviour. For the first time, biochemists, bio-engineers and neurologists will be able to study how mutated cells behave in virtual experiments without the complications of in vivo experiments. On the other hand, it will be possible to predict cell population behaviour in the presence of obstacles on a substrate, as well as competition for food (prey).

In developmental biology, new insights on non-standard reaction kinetic models will offer experimentalists avenues to test in experiments the evolution of patterns only during growth development. Madzvamuse and his group have established collaborations with several experimentalists in developmental biology. Profs. Sekimura and Kondo in Japan will be able to test such hypotheses to study the emergence of patterns on evolving fish surfaces. Prof. Cheong's group in California is interested in models that could describe zebra stripe formation during growth development. Prof. Marle at IMPAS in Manaus Brazil has accumulated a huge amount of data on characterising chemical molecules that could be associated with Turing morphogens which could give rise to evolving patterns on the Brazilian Amazon fish known locally as Tambaqui.

The results of this research will be disseminated through: (i) Publications in peer-reviewed journals across the numerical analysis, mathematical and biological communities. (ii) Software packages will be uploaded to Madzvamuse's website which is accessible to the academic research community, either in the public sector, commercial private sector, third sector or the wider public in general. (iii) Delivery of lectures at conferences, seminars and workshops. (iv) Delivery of special seminars/presentations at public sector events such as the Brighton Science Festival or meetings between universities (public) and the private sector (industries).

The University of Sussex and the Medical Research Council, through the School of Mathematics and Physical Sciences has committed and recruited a 3.5-year DTA student to start work on atherosclerosis where reaction-diffusion equations describe the formation of carotid plaque during growth development. The PI (main advisor), the surgeon (Dr Jibawi) and the cardiologist (Dr Cheal), both at Sussex Hospitals, will co-supervise the student. This project has direct impact on modelling blood flow in arteries coupled with the formation of plaque as free moving boundaries. Therefore the PI will explore the possibilities of collaborating with medical companies via the Knowledge Transfer Partnership programme.

Organisations

Publications

10 25 50

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Alhazmi M (2019) Exploring Mechanisms for Pattern Formation through Coupled Bulk-Surface PDEs in Case of Non-linear Reactions in International Journal of Advanced Computer Science and Applications

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Blank L (2013) Nonlocal Allen-Cahn systems: analysis and a primal-dual active set method in IMA Journal of Numerical Analysis

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Blank L (2013) Primal-dual active set methods for Allen-Cahn variational inequalities with nonlocal constraints in Numerical Methods for Partial Differential Equations

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Blank L (2014) Relating phase field and sharp interface approaches to structural topology optimization in ESAIM: Control, Optimisation and Calculus of Variations

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Blazakis K (2015) Whole cell tracking through the optimal control of geometric evolution laws in Journal of Computational Physics

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Campillo-Funollet E (2018) Bayesian Parameter Identification for Turing Systems on Stationary and Evolving Domains in Bulletin of Mathematical Biology

 
Description This award opened up a new area of research which is exponentially growing and that is the area of modelling, analysis and simulations of coupled bulk-surface-extracellular dynamics using a combination of theories from differential geometry, surface partial differential equations, biomechanics, biochemical processes and the development of novel coupled bulk-surface numerical methods (bulk-surface finite elements, bulk-surface virtual elements, closet-point methods, etc).
Exploitation Route There are multi-ways in which this work could be taken forward, studies focusing on coupling different processes in different domains with continuity or even jump conditions across the interface with applications to biology are just starting to emerge and this area will unravel to provide integrated models across spatial compartmentalisations as well as being novel in terms of multi-scale modelling. The beautiful thing about this framework is that the physics of the biological problems are naturally encoded and described. When combined with data-fitting approaches such as Bayesian statistical methods, the approach offers an unparalleled framework to fit models to data in a statistical sense.
Sectors Agriculture, Food and Drink,Chemicals,Communities and Social Services/Policy,Digital/Communication/Information Technologies (including Software),Education,Electronics,Energy,Environment,Healthcare,Manufacturing, including Industrial Biotechology,Pharmaceuticals and Medical Biotechnology,Transport

URL https://scholar.google.co.uk/scholar?q=Coupled+bulk-surface+problems&hl=en&as_sdt=0&as_vis=1&oi=scholart
 
Description This award has contributed significantly to the emergence of new experimental techniques in trying to understand the spatiotemporal dynamics of cell migration and cell motility through the maturing theories of bulk-surface reaction-diffusion systems, geometric surface partial differential equations and novel numerical methods that allow to solve such complex models on evolving manifolds enclosing moving domains. In experimental sciences, microscopic techniques for characterising the spatiotemporal dynamics of inactive Rho GTPases in the cytosol (the bulk) and active Rho GTPases in the cortex (the surface) are now being undertaken in response to theoretical advances that allow for quantitative modelling of spatiotemporal datasets. Similarly, there are rapid advances in understanding cell motility and migration in complex non-isotropic environments, again, theoretical paradigm models are at the forefront, offering new quantitative approaches for guiding experimental manipulations. In mathematical sciences, this award has led to the emergence of new research areas such a bulk-surface reaction-diffusion systems for pattern formation, bulk-surface-extracellular matrix PDEs in multi-dimensions, whose analysis and computations are not trivial. As a result, it has led to new analytical techniques for analysis bulk-surface PDEs, including linear stability analysis, weakly nonlinear analysis, and asymptotic analysis. It has also led to the development of new numerical method, and these include (but not limited to) evolving bulk-surface finite elements, evolving surface finite elements, evolving bulk-surface virtual elements, and the closet point methods. Furthermore, we have been able to commercialise some of our algorithms for whole and particle cell tracking in collaboration with TissueGnostics in Vienna Austria. This award, led to the hosting of a prestigious six months research programme at the Isaac Newton Institute in Mathematical Sciences in Cambridge entitled: Coupling geometric PDEs with physics for cell morphology, motility and pattern formation (July - November, 2015). See for https://www.newton.ac.uk/event/cgp/ details. This led to new collaborations between theoreticians and experimentalists within the UK, EU and the rest of the world.
Sector Agriculture, Food and Drink,Education,Environment,Healthcare,Pharmaceuticals and Medical Biotechnology
Impact Types Societal,Economic

 
Description Associate Editor: In Silico Tissue and Cell Science
Geographic Reach Multiple continents/international 
Policy Influence Type Participation in advisory committee
Impact In 2014, we launched a Springer International Journal on In Silico Tissue and Cell Science in order to bring to the international forum new research outputs associated with cell motility, migration and tissue science. Already, at least 4 articles have been published in 2014 soon after its launch.
URL http://www.in-silico-cell-and-tissue-science.com/
 
Description Editorial Board Member of the international journal: Mathematical Biology and Systems Biology (MBSB)
Geographic Reach Multiple continents/international 
Policy Influence Type Participation in advisory committee
 
Description Steering Committee Member: MASAMU Program
Geographic Reach Multiple continents/international 
Policy Influence Type Membership of a guidance committee
Impact The primary goal of the Masamu (masamu means mathematics in Southern Africa) Program is to enhance research in mathematical sciences within Southern Africa Mathematical Sciences Association (SAMSA) institutions through promotion of international research collaboration. A key component of the Masamu Program is the Advanced Study Institute and Workshop Series in mathematical sciences that provides a platform for such collaboration. Other activities include Research Workshop, Career Development Workshop, Department Heads and Chairs and Senior Research Scientists Workshop, Colloquia and Webinar Series, and AfricaMath. The target audiences of the Advanced Study Institute are graduate students and early career faculty (rank less than associate professor) while the workshops are open to students, faculty, and other researchers in the mathematical sciences.
URL https://masamu.auburn.edu/
 
Description The University of Sussex Environment and Health Advisory Group Board Member
Geographic Reach Local/Municipal/Regional 
Policy Influence Type Participation in advisory committee
Impact Development of interdisciplinary research between different departments and schools at Sussex through organised workshops such as blind-dating, research meetings etc.
 
Description A numerical approach to study cell dynamics
Amount £60,000 (GBP)
Organisation Government of Nigeria 
Sector Public
Country Nigeria
Start 09/2008 
End 12/2011
 
Description African Diaspora Mathematicians Program (ADMP), University of Sussex - University of Zimbabwe
Amount € 14,000 (EUR)
Organisation International Mathematical Union 
Sector Learned Society
Country Germany
Start 03/2017 
End 03/2019
 
Description Algorithm development for use in commercial cell tracking software.
Amount £3,500 (GBP)
Organisation University of Sussex 
Department School of Mathematical and Physical Sciences Sussex
Sector Academic/University
Country United Kingdom
Start 12/2013 
End 07/2014
 
Description Coupling Geometric PDEs with Physics for Cell Morphology, Motility and Pattern Formation
Amount £256,000 (GBP)
Organisation Isaac Newton Institute for Mathematical Sciences 
Sector Academic/University
Country United Kingdom
Start 06/2015 
End 12/2016
 
Description From experiments to mathematics: Unearthing mathematical models for cell adhesion.
Amount £60,000 (GBP)
Organisation University of Sussex 
Department Chancellor’s International Research Scholarship (CIRC)
Sector Academic/University
Country United Kingdom
Start 08/2014 
End 08/2017
 
Description GK-12 Fellowship
Amount $2,000,000 (USD)
Organisation National Science Foundation (NSF) 
Sector Public
Country United States
Start 02/2006 
End 09/2009
 
Description HEIF KICKSTART PROJECT: Software and algorithm development for cell tracking
Amount £4,500 (GBP)
Organisation University of Sussex 
Sector Academic/University
Country United Kingdom
Start 11/2014 
End 07/2015
 
Description High Performance Computing Equipment
Amount £104,000 (GBP)
Organisation University of Sussex 
Department School of Mathematical and Physical Sciences Sussex
Sector Academic/University
Country United Kingdom
Start 04/2013 
End 04/2018
 
Description International Conference Travel Grant.
Amount £1,000 (GBP)
Organisation Institute of Mathematics and its Applications 
Sector Academic/University
Country United Kingdom
Start 12/2018 
End 01/2019
 
Description International Conference Travel Grant.
Amount £300 (GBP)
Organisation Institute of Mathematics and its Applications 
Sector Academic/University
Country United Kingdom
Start 08/2018 
End 10/2018
 
Description International Travel Grant
Amount £905 (GBP)
Organisation The Royal Society 
Sector Charity/Non Profit
Country United Kingdom
Start 06/2008 
End 08/2008
 
Description Reaction-diffusion systems on evolving domains with applications to the theory of biological pattern formation
Amount £60,000 (GBP)
Organisation Engineering and Physical Sciences Research Council (EPSRC) 
Sector Public
Country United Kingdom
Start 09/2008 
End 12/2010
 
Description Research Training Network on Integrated Component Cycling in Epithelial Cell Motility
Amount € 3,884,019 (EUR)
Funding ID InCeM 
Organisation European Commission 
Department Horizon 2020
Sector Public
Country European Union (EU)
Start 01/2015 
End 12/2019
 
Description Royal Society Research Merit Award Holder
Amount £50,000 (GBP)
Organisation The Royal Society 
Sector Charity/Non Profit
Country United Kingdom
Start 09/2016 
End 09/2021
 
Description SA-DISCNet: A collaborative data science training network across southern Africa and southern UK
Amount £98,000 (GBP)
Funding ID ST/R002746/1 
Organisation Science and Technologies Facilities Council (STFC) 
Sector Public
Country United Kingdom
Start 01/2018 
End 12/2018
 
Description SA-UK University Staff Doctoral Programme (USDP)- Phase 2 Collaboration and Scoping Grant
Amount £10,000 (GBP)
Organisation British Council 
Sector Charity/Non Profit
Country United Kingdom
Start 03/2019 
End 06/2019
 
Description US-Africa Collaborative Research Network
Amount $415,000 (USD)
Organisation National Science Foundation (NSF) 
Sector Public
Country United States
Start 08/2013 
End 08/2018
 
Description Unearthing new models for Dynein transport mechanisms from the cell membrane to the nucleus
Amount £60,000 (GBP)
Organisation University of Sussex 
Department Genome Damage and Stability Centre
Sector Academic/University
Country United Kingdom
Start 08/2012 
End 08/2016
 
Description Unravelling new mathematics for 3D cell migration
Amount £258,593 (GBP)
Funding ID RPG-2014-149 
Organisation The Leverhulme Trust 
Sector Charity/Non Profit
Country United Kingdom
Start 09/2014 
End 09/2017
 
Title Software development for cell tracking 
Description This is a proof-of-concept software development for cell tracking using optimal control. The software is based on open sources codes (ALBERTA) and proposes a physical evolution law for two-dimensional image data provided as a discrete sequences of cell locations. We are currently developing this package in collaboration with our industrial partners. 
Type Of Material Technology assay or reagent 
Provided To Others? No  
Impact Commercial assay systems for cell tracking are a hot topic with almost 90% of the market interested in two-dimensional cell tracking algorithms. Because of the relevance of cellular migration for many active research fields in medicine and biotechnology, there is a high demand for commercially available assaying systems. Automated cell tracking is revolutionalising research in medicine and biology, dramatically reducing the time it takes to interrogate large experimental datasets. Current tracking algorithms are inherently slow with limited tracking pathways (e.g. centroid) and lack complete descriptions of cell morphology and shape changes. Our aim is to develop fast, reliable and efficient cell tracking packages that will yield results in minutes rather than hours or days. The end goal is to develop a commercially viable business providing bespoke cell tracking software thereby enhancing the reputation of University in the development of entrepreneurial activities from academic research. It also has the potential to have lasting social impact by contributing to important research in the life-sciences in fields such as cancer treatment and synthetic biology. It will advance the goals of the research themes such as Environment and Health and Mind and Brain. 
 
Title Optimal control model for cell tracking 
Description The software developed allows us to track the evolution of cells on a two-dimensional substrate. The package is able to predict whole cell morphological changes and evolution unlike current models which track only the centroid. This new algorithm is a proof-of-concept for future and more robust cell tracking algorithms that might help experimentalists to track not only particles but shape changes and other geometric and physical quantities associated with cell tracking. The package has the potential of replacing animals for experimentation. 
Type Of Material Computer model/algorithm 
Provided To Others? No  
Impact This is a proof-of-concept package that is under trial with our industrial collaborators, IBIDI, Gradientech etc. 
 
Description Algorithms for particle and whole cell tracking in multi-dimensions 
Organisation Ibidi
Country Germany 
Sector Private 
PI Contribution My research group have developed research collaboration with IBIDI. The primary focus of the collaborations is to develop software algorithms for particle and whole cell tracking of static images from experimental observations. The results of this collaboration has resulted in one publication and two under preparation.
Collaborator Contribution IBIDI provided experimental images on which the mathematical models were based. This has resulted in a robust and efficient algorithm for particle and whole cell tracking.
Impact This research is multi-disciplinary, it involves mathematics, numerical analysis, HPC scientific computing, image analysis, and cell biology. The research outcomes are the development of an efficient and robust algorithm for cell tracking and a publication in high impact journal of Biomechanics. Further research outcomes are expected since this collaboration is still active.
Start Year 2014
 
Description Botswana: UK-APASI Sub-Saharan African Country Partner 
Organisation The Botswana International University of Science & Technology
Country Botswana 
Sector Academic/University 
PI Contribution 1. Development of research collaborations with faculty and students at BIUST 2. Co-delivery of training and postgraduate advanced lectures
Collaborator Contribution 1. Organisation of UK-APASI participants in Botswana 2. Provision of internet facilities for participants from Botswana
Impact Too early
Start Year 2020
 
Description Commercialisation of software algoritms for partical and whole cell tracking 
Organisation TissueGnostics GmbH
Country Austria 
Sector Private 
PI Contribution We have successfully collaborated with TissueGnostics (TG) to translate our research outcomes on particle and whole cell tracking into viable commercial products within TG. TG has partnered with the University of Sussex in a formal agreement to commercialise the software. To-date, we have implement the particle cell tracking onto TG's StrataQuest platform for direct sale to customers and the whole cell tracking package will be provided as an in-house service for TG customers from Sussex.
Collaborator Contribution TsissueGnostics has given us the platform and access to customers to sell our algorithms. In return we will share revenue through a formal contractual agreement.
Impact Early to state the outputs.
Start Year 2016
 
Description Eswatini: UK-APASI Sub-Saharan African Country Partner 
Organisation University of Swaziland
Country Swaziland 
Sector Academic/University 
PI Contribution 1. Collaborative research with faculty and students from Eswatini 2. Mentoring of junior faculty and early career fellows from Eswatini in mathematical sciences
Collaborator Contribution 1. Organisation of all UK-APASI participants from Eswatini (formerly Swaziland) 2. Provision of internet facilities to participants from Eswatini
Impact Too early
Start Year 2020
 
Description Formulating new poroelastic models for nuclei deformation and cell migration through complex non-isotropic environments 
Organisation Delft University of Technology (TU Delft)
Country Netherlands 
Sector Academic/University 
PI Contribution The objectives of this consortium are: (i) to bring five researchers from the UK, the Netherlands and Portugal working in Mathematical Sciences to formulate new mathematical models for nuclei deformation and single cell migration and cell growth, (ii) to develop poroelastic models for nuclei deformation and growth based on two different but yet complimentary approaches: (a) the sharp interface and (b) the two-phase-field formulations, for the nuclei membrane dynamics and (iii) develop appropriate numerical methods robust enough to parameter variations to allow us to fit models to experimental data, through an inverse Bayesian approach.
Collaborator Contribution The partners will participate in the two week meeting at the International Centre for Mathematical Sciences in Edinburgh
Impact Not yet available
Start Year 2020
 
Description Formulating new poroelastic models for nuclei deformation and cell migration through complex non-isotropic environments 
Organisation Heriot-Watt University
Country United Kingdom 
Sector Academic/University 
PI Contribution The objectives of this consortium are: (i) to bring five researchers from the UK, the Netherlands and Portugal working in Mathematical Sciences to formulate new mathematical models for nuclei deformation and single cell migration and cell growth, (ii) to develop poroelastic models for nuclei deformation and growth based on two different but yet complimentary approaches: (a) the sharp interface and (b) the two-phase-field formulations, for the nuclei membrane dynamics and (iii) develop appropriate numerical methods robust enough to parameter variations to allow us to fit models to experimental data, through an inverse Bayesian approach.
Collaborator Contribution The partners will participate in the two week meeting at the International Centre for Mathematical Sciences in Edinburgh
Impact Not yet available
Start Year 2020
 
Description Formulating new poroelastic models for nuclei deformation and cell migration through complex non-isotropic environments 
Organisation Polytechnic Institute of Setúbal
Country Portugal 
Sector Academic/University 
PI Contribution The objectives of this consortium are: (i) to bring five researchers from the UK, the Netherlands and Portugal working in Mathematical Sciences to formulate new mathematical models for nuclei deformation and single cell migration and cell growth, (ii) to develop poroelastic models for nuclei deformation and growth based on two different but yet complimentary approaches: (a) the sharp interface and (b) the two-phase-field formulations, for the nuclei membrane dynamics and (iii) develop appropriate numerical methods robust enough to parameter variations to allow us to fit models to experimental data, through an inverse Bayesian approach.
Collaborator Contribution The partners will participate in the two week meeting at the International Centre for Mathematical Sciences in Edinburgh
Impact Not yet available
Start Year 2020
 
Description Horizon2020-MSCA-ITN-2014 
Organisation Andor Technology
Country United Kingdom 
Sector Private 
PI Contribution 1. H2020-MSCA-ITN-2014 grant application (I was one of two pioneers of the research network comprising 11 Universities, 4 Research Institutes and 4 Industrial Companies). 2. I hosted the first pre-grant meeting here at Sussex in 2012 3. I identified and visited all industrial companies to engage with them and get their approval to join the network.
Collaborator Contribution My collaborators helped with the grant application. Professor Rudolf Leube agreed to be the coordinator of the network.
Impact 1. H2020-MSCA-ITN-2014 (SEP-210161846), Research Training Network on Integrated Component Cycling in Epithelial Cell Motility (InCeM): Funded: Euros 3,8 million. 4 Year grant. (Multi-disciplinary - Cell motility, Cell migration, Mathematics, Image Analysis, BioPhysics, Cell Biology, Scientific Computing, etc.) 2. Isaac Newton Institute for Mathematical Sciences: 6 Months Research Programme. Funded (more than £300K allocated). Organisers: A. Madzvamuse ( Principal Organiser), R. Merkel, R. Leube and H.G. Othmer. Coupling geometric PDEs for cell motility, morphology and pattern formation. 3. The Leverhulme Trust Research Project Grant (RPG-2014-149). Unravelling new mathematics for 3D cell motility. A. Madzvamuse, V. Styles and C. Venkataraman. 3 Years. £258.593. Advisory Board: C.M. Elliott, R. Leube, and H.G. Othmer.
Start Year 2014
 
Description Horizon2020-MSCA-ITN-2014 
Organisation Gradientech AB
Country Sweden 
Sector Private 
PI Contribution 1. H2020-MSCA-ITN-2014 grant application (I was one of two pioneers of the research network comprising 11 Universities, 4 Research Institutes and 4 Industrial Companies). 2. I hosted the first pre-grant meeting here at Sussex in 2012 3. I identified and visited all industrial companies to engage with them and get their approval to join the network.
Collaborator Contribution My collaborators helped with the grant application. Professor Rudolf Leube agreed to be the coordinator of the network.
Impact 1. H2020-MSCA-ITN-2014 (SEP-210161846), Research Training Network on Integrated Component Cycling in Epithelial Cell Motility (InCeM): Funded: Euros 3,8 million. 4 Year grant. (Multi-disciplinary - Cell motility, Cell migration, Mathematics, Image Analysis, BioPhysics, Cell Biology, Scientific Computing, etc.) 2. Isaac Newton Institute for Mathematical Sciences: 6 Months Research Programme. Funded (more than £300K allocated). Organisers: A. Madzvamuse ( Principal Organiser), R. Merkel, R. Leube and H.G. Othmer. Coupling geometric PDEs for cell motility, morphology and pattern formation. 3. The Leverhulme Trust Research Project Grant (RPG-2014-149). Unravelling new mathematics for 3D cell motility. A. Madzvamuse, V. Styles and C. Venkataraman. 3 Years. £258.593. Advisory Board: C.M. Elliott, R. Leube, and H.G. Othmer.
Start Year 2014
 
Description Horizon2020-MSCA-ITN-2014 
Organisation Ibidi
Country Germany 
Sector Private 
PI Contribution 1. H2020-MSCA-ITN-2014 grant application (I was one of two pioneers of the research network comprising 11 Universities, 4 Research Institutes and 4 Industrial Companies). 2. I hosted the first pre-grant meeting here at Sussex in 2012 3. I identified and visited all industrial companies to engage with them and get their approval to join the network.
Collaborator Contribution My collaborators helped with the grant application. Professor Rudolf Leube agreed to be the coordinator of the network.
Impact 1. H2020-MSCA-ITN-2014 (SEP-210161846), Research Training Network on Integrated Component Cycling in Epithelial Cell Motility (InCeM): Funded: Euros 3,8 million. 4 Year grant. (Multi-disciplinary - Cell motility, Cell migration, Mathematics, Image Analysis, BioPhysics, Cell Biology, Scientific Computing, etc.) 2. Isaac Newton Institute for Mathematical Sciences: 6 Months Research Programme. Funded (more than £300K allocated). Organisers: A. Madzvamuse ( Principal Organiser), R. Merkel, R. Leube and H.G. Othmer. Coupling geometric PDEs for cell motility, morphology and pattern formation. 3. The Leverhulme Trust Research Project Grant (RPG-2014-149). Unravelling new mathematics for 3D cell motility. A. Madzvamuse, V. Styles and C. Venkataraman. 3 Years. £258.593. Advisory Board: C.M. Elliott, R. Leube, and H.G. Othmer.
Start Year 2014
 
Description Horizon2020-MSCA-ITN-2014 
Organisation Julich Research Centre
Country Germany 
Sector Academic/University 
PI Contribution 1. H2020-MSCA-ITN-2014 grant application (I was one of two pioneers of the research network comprising 11 Universities, 4 Research Institutes and 4 Industrial Companies). 2. I hosted the first pre-grant meeting here at Sussex in 2012 3. I identified and visited all industrial companies to engage with them and get their approval to join the network.
Collaborator Contribution My collaborators helped with the grant application. Professor Rudolf Leube agreed to be the coordinator of the network.
Impact 1. H2020-MSCA-ITN-2014 (SEP-210161846), Research Training Network on Integrated Component Cycling in Epithelial Cell Motility (InCeM): Funded: Euros 3,8 million. 4 Year grant. (Multi-disciplinary - Cell motility, Cell migration, Mathematics, Image Analysis, BioPhysics, Cell Biology, Scientific Computing, etc.) 2. Isaac Newton Institute for Mathematical Sciences: 6 Months Research Programme. Funded (more than £300K allocated). Organisers: A. Madzvamuse ( Principal Organiser), R. Merkel, R. Leube and H.G. Othmer. Coupling geometric PDEs for cell motility, morphology and pattern formation. 3. The Leverhulme Trust Research Project Grant (RPG-2014-149). Unravelling new mathematics for 3D cell motility. A. Madzvamuse, V. Styles and C. Venkataraman. 3 Years. £258.593. Advisory Board: C.M. Elliott, R. Leube, and H.G. Othmer.
Start Year 2014
 
Description Horizon2020-MSCA-ITN-2014 
Organisation RWTH Aachen University
Country Germany 
Sector Academic/University 
PI Contribution 1. H2020-MSCA-ITN-2014 grant application (I was one of two pioneers of the research network comprising 11 Universities, 4 Research Institutes and 4 Industrial Companies). 2. I hosted the first pre-grant meeting here at Sussex in 2012 3. I identified and visited all industrial companies to engage with them and get their approval to join the network.
Collaborator Contribution My collaborators helped with the grant application. Professor Rudolf Leube agreed to be the coordinator of the network.
Impact 1. H2020-MSCA-ITN-2014 (SEP-210161846), Research Training Network on Integrated Component Cycling in Epithelial Cell Motility (InCeM): Funded: Euros 3,8 million. 4 Year grant. (Multi-disciplinary - Cell motility, Cell migration, Mathematics, Image Analysis, BioPhysics, Cell Biology, Scientific Computing, etc.) 2. Isaac Newton Institute for Mathematical Sciences: 6 Months Research Programme. Funded (more than £300K allocated). Organisers: A. Madzvamuse ( Principal Organiser), R. Merkel, R. Leube and H.G. Othmer. Coupling geometric PDEs for cell motility, morphology and pattern formation. 3. The Leverhulme Trust Research Project Grant (RPG-2014-149). Unravelling new mathematics for 3D cell motility. A. Madzvamuse, V. Styles and C. Venkataraman. 3 Years. £258.593. Advisory Board: C.M. Elliott, R. Leube, and H.G. Othmer.
Start Year 2014
 
Description Horizon2020-MSCA-ITN-2014 
Organisation Royal Netherlands Academy of Arts and Sciences
Country Netherlands 
Sector Public 
PI Contribution 1. H2020-MSCA-ITN-2014 grant application (I was one of two pioneers of the research network comprising 11 Universities, 4 Research Institutes and 4 Industrial Companies). 2. I hosted the first pre-grant meeting here at Sussex in 2012 3. I identified and visited all industrial companies to engage with them and get their approval to join the network.
Collaborator Contribution My collaborators helped with the grant application. Professor Rudolf Leube agreed to be the coordinator of the network.
Impact 1. H2020-MSCA-ITN-2014 (SEP-210161846), Research Training Network on Integrated Component Cycling in Epithelial Cell Motility (InCeM): Funded: Euros 3,8 million. 4 Year grant. (Multi-disciplinary - Cell motility, Cell migration, Mathematics, Image Analysis, BioPhysics, Cell Biology, Scientific Computing, etc.) 2. Isaac Newton Institute for Mathematical Sciences: 6 Months Research Programme. Funded (more than £300K allocated). Organisers: A. Madzvamuse ( Principal Organiser), R. Merkel, R. Leube and H.G. Othmer. Coupling geometric PDEs for cell motility, morphology and pattern formation. 3. The Leverhulme Trust Research Project Grant (RPG-2014-149). Unravelling new mathematics for 3D cell motility. A. Madzvamuse, V. Styles and C. Venkataraman. 3 Years. £258.593. Advisory Board: C.M. Elliott, R. Leube, and H.G. Othmer.
Start Year 2014
 
Description Horizon2020-MSCA-ITN-2014 
Organisation Software Competence Center Hagenberg
Country Austria 
Sector Private 
PI Contribution 1. H2020-MSCA-ITN-2014 grant application (I was one of two pioneers of the research network comprising 11 Universities, 4 Research Institutes and 4 Industrial Companies). 2. I hosted the first pre-grant meeting here at Sussex in 2012 3. I identified and visited all industrial companies to engage with them and get their approval to join the network.
Collaborator Contribution My collaborators helped with the grant application. Professor Rudolf Leube agreed to be the coordinator of the network.
Impact 1. H2020-MSCA-ITN-2014 (SEP-210161846), Research Training Network on Integrated Component Cycling in Epithelial Cell Motility (InCeM): Funded: Euros 3,8 million. 4 Year grant. (Multi-disciplinary - Cell motility, Cell migration, Mathematics, Image Analysis, BioPhysics, Cell Biology, Scientific Computing, etc.) 2. Isaac Newton Institute for Mathematical Sciences: 6 Months Research Programme. Funded (more than £300K allocated). Organisers: A. Madzvamuse ( Principal Organiser), R. Merkel, R. Leube and H.G. Othmer. Coupling geometric PDEs for cell motility, morphology and pattern formation. 3. The Leverhulme Trust Research Project Grant (RPG-2014-149). Unravelling new mathematics for 3D cell motility. A. Madzvamuse, V. Styles and C. Venkataraman. 3 Years. £258.593. Advisory Board: C.M. Elliott, R. Leube, and H.G. Othmer.
Start Year 2014
 
Description Horizon2020-MSCA-ITN-2014 
Organisation Tel Aviv University
Country Israel 
Sector Academic/University 
PI Contribution 1. H2020-MSCA-ITN-2014 grant application (I was one of two pioneers of the research network comprising 11 Universities, 4 Research Institutes and 4 Industrial Companies). 2. I hosted the first pre-grant meeting here at Sussex in 2012 3. I identified and visited all industrial companies to engage with them and get their approval to join the network.
Collaborator Contribution My collaborators helped with the grant application. Professor Rudolf Leube agreed to be the coordinator of the network.
Impact 1. H2020-MSCA-ITN-2014 (SEP-210161846), Research Training Network on Integrated Component Cycling in Epithelial Cell Motility (InCeM): Funded: Euros 3,8 million. 4 Year grant. (Multi-disciplinary - Cell motility, Cell migration, Mathematics, Image Analysis, BioPhysics, Cell Biology, Scientific Computing, etc.) 2. Isaac Newton Institute for Mathematical Sciences: 6 Months Research Programme. Funded (more than £300K allocated). Organisers: A. Madzvamuse ( Principal Organiser), R. Merkel, R. Leube and H.G. Othmer. Coupling geometric PDEs for cell motility, morphology and pattern formation. 3. The Leverhulme Trust Research Project Grant (RPG-2014-149). Unravelling new mathematics for 3D cell motility. A. Madzvamuse, V. Styles and C. Venkataraman. 3 Years. £258.593. Advisory Board: C.M. Elliott, R. Leube, and H.G. Othmer.
Start Year 2014
 
Description Horizon2020-MSCA-ITN-2014 
Organisation University Duisburg-Essen
Country Germany 
Sector Academic/University 
PI Contribution 1. H2020-MSCA-ITN-2014 grant application (I was one of two pioneers of the research network comprising 11 Universities, 4 Research Institutes and 4 Industrial Companies). 2. I hosted the first pre-grant meeting here at Sussex in 2012 3. I identified and visited all industrial companies to engage with them and get their approval to join the network.
Collaborator Contribution My collaborators helped with the grant application. Professor Rudolf Leube agreed to be the coordinator of the network.
Impact 1. H2020-MSCA-ITN-2014 (SEP-210161846), Research Training Network on Integrated Component Cycling in Epithelial Cell Motility (InCeM): Funded: Euros 3,8 million. 4 Year grant. (Multi-disciplinary - Cell motility, Cell migration, Mathematics, Image Analysis, BioPhysics, Cell Biology, Scientific Computing, etc.) 2. Isaac Newton Institute for Mathematical Sciences: 6 Months Research Programme. Funded (more than £300K allocated). Organisers: A. Madzvamuse ( Principal Organiser), R. Merkel, R. Leube and H.G. Othmer. Coupling geometric PDEs for cell motility, morphology and pattern formation. 3. The Leverhulme Trust Research Project Grant (RPG-2014-149). Unravelling new mathematics for 3D cell motility. A. Madzvamuse, V. Styles and C. Venkataraman. 3 Years. £258.593. Advisory Board: C.M. Elliott, R. Leube, and H.G. Othmer.
Start Year 2014
 
Description Horizon2020-MSCA-ITN-2014 
Organisation Weizmann Institute of Science
Country Israel 
Sector Academic/University 
PI Contribution 1. H2020-MSCA-ITN-2014 grant application (I was one of two pioneers of the research network comprising 11 Universities, 4 Research Institutes and 4 Industrial Companies). 2. I hosted the first pre-grant meeting here at Sussex in 2012 3. I identified and visited all industrial companies to engage with them and get their approval to join the network.
Collaborator Contribution My collaborators helped with the grant application. Professor Rudolf Leube agreed to be the coordinator of the network.
Impact 1. H2020-MSCA-ITN-2014 (SEP-210161846), Research Training Network on Integrated Component Cycling in Epithelial Cell Motility (InCeM): Funded: Euros 3,8 million. 4 Year grant. (Multi-disciplinary - Cell motility, Cell migration, Mathematics, Image Analysis, BioPhysics, Cell Biology, Scientific Computing, etc.) 2. Isaac Newton Institute for Mathematical Sciences: 6 Months Research Programme. Funded (more than £300K allocated). Organisers: A. Madzvamuse ( Principal Organiser), R. Merkel, R. Leube and H.G. Othmer. Coupling geometric PDEs for cell motility, morphology and pattern formation. 3. The Leverhulme Trust Research Project Grant (RPG-2014-149). Unravelling new mathematics for 3D cell motility. A. Madzvamuse, V. Styles and C. Venkataraman. 3 Years. £258.593. Advisory Board: C.M. Elliott, R. Leube, and H.G. Othmer.
Start Year 2014
 
Description International Centre for Mathematical Sciences: UK-APASI Oline Virtual Workshop Series 
Organisation International Centre for Mathematical Sciences
Country United Kingdom 
Sector Public 
PI Contribution Our collaborative network of scientists and academicians has provided the ICMS with novel ideas on how to carry out online workshops involving international partners from Africa. The challenges and lessons learnt have been passed on to the ICMS, thereby enriching their expertise in running workshops of this nature. For example, how to support participants who have internet challenges that require financial support. By identifying leaders from African countries and working closely with them, the UK-APASI team has been able to support participants secure reliable internet access and bandwidth which is crucial to participate in the online workshops.
Collaborator Contribution The ICMS had supported the UK-APASI programme by hosting all our online workshops starting in December 2020 on a monthly basis. The value of this contribution can not be measured in monetary terms, it has been a priceless contributions, without their support, the UK-APASI programme would have been much more difficult to implement, manage and deliver on the objectives. We are on track to fulfil our aims and objectives largely due to the role played by the ICMS.
Impact 1. Delivery of four workshops all held by the ICMS. 2. Pre-recording of lectures that are uploaded onto ICMS website 3. Live-recording of lectures and plenary talks that are hosted by the ICMS website 4. Reliable data management of participants and lecturers
Start Year 2020
 
Description International Centre for Mathematical Sciences: UK-APASI Oline Virtual Workshop Series 
Organisation International Centre for Mathematical Sciences
Country United Kingdom 
Sector Public 
PI Contribution Our collaborative network of scientists and academicians has provided the ICMS with novel ideas on how to carry out online workshops involving international partners from Africa. The challenges and lessons learnt have been passed on to the ICMS, thereby enriching their expertise in running workshops of this nature. For example, how to support participants who have internet challenges that require financial support. By identifying leaders from African countries and working closely with them, the UK-APASI team has been able to support participants secure reliable internet access and bandwidth which is crucial to participate in the online workshops.
Collaborator Contribution The ICMS had supported the UK-APASI programme by hosting all our online workshops starting in December 2020 on a monthly basis. The value of this contribution can not be measured in monetary terms, it has been a priceless contributions, without their support, the UK-APASI programme would have been much more difficult to implement, manage and deliver on the objectives. We are on track to fulfil our aims and objectives largely due to the role played by the ICMS.
Impact 1. Delivery of four workshops all held by the ICMS. 2. Pre-recording of lectures that are uploaded onto ICMS website 3. Live-recording of lectures and plenary talks that are hosted by the ICMS website 4. Reliable data management of participants and lecturers
Start Year 2020
 
Description SA-DISCNet: A collaborative data science training network across southern Africa and southern UK 
Organisation African Institute for Mathematical Sciences
Country South Africa 
Sector Academic/University 
PI Contribution Our contributions were to provide support for PhD students during their internships in terms of modelling, numerical methods and simulation.
Collaborator Contribution The partners made a significant contribution to knowledge primarily for organisations in South Africa (SA) engaged in activities related to economic development, welfare, and SDGs, and secondarily for academics in SA and the UK. The training scheme we proposed was intrinsically multi-disciplinary, using insights from data science as used by physicists from cosmology, particle physics and solid state physics; this multidisciplinary synthesis was of great value to the students. For our partner organisations in SA, the contributions of the internship students provided solutions to significant SDGrelated questions. In particular, for Transport for Cape Town, they contributed to the improved integration of Cape Town transport and land use planning. For Siyavula, the intern explored their massive student progress data for new insights, and for Zoona, the intern estimated key risks based on micro-loans. For Ekaya, the intern analysed data to build a better picture of clients and hence help make this small startup more sustainable.
Impact Not yet
Start Year 2018
 
Description SA-DISCNet: A collaborative data science training network across southern Africa and southern UK 
Organisation Open University
Department Faculty of Science, Technology, Engineering & Mathematics
Country United Kingdom 
Sector Academic/University 
PI Contribution Our contributions were to provide support for PhD students during their internships in terms of modelling, numerical methods and simulation.
Collaborator Contribution The partners made a significant contribution to knowledge primarily for organisations in South Africa (SA) engaged in activities related to economic development, welfare, and SDGs, and secondarily for academics in SA and the UK. The training scheme we proposed was intrinsically multi-disciplinary, using insights from data science as used by physicists from cosmology, particle physics and solid state physics; this multidisciplinary synthesis was of great value to the students. For our partner organisations in SA, the contributions of the internship students provided solutions to significant SDGrelated questions. In particular, for Transport for Cape Town, they contributed to the improved integration of Cape Town transport and land use planning. For Siyavula, the intern explored their massive student progress data for new insights, and for Zoona, the intern estimated key risks based on micro-loans. For Ekaya, the intern analysed data to build a better picture of clients and hence help make this small startup more sustainable.
Impact Not yet
Start Year 2018
 
Description SA-DISCNet: A collaborative data science training network across southern Africa and southern UK 
Organisation Queen Mary University of London
Country United Kingdom 
Sector Academic/University 
PI Contribution Our contributions were to provide support for PhD students during their internships in terms of modelling, numerical methods and simulation.
Collaborator Contribution The partners made a significant contribution to knowledge primarily for organisations in South Africa (SA) engaged in activities related to economic development, welfare, and SDGs, and secondarily for academics in SA and the UK. The training scheme we proposed was intrinsically multi-disciplinary, using insights from data science as used by physicists from cosmology, particle physics and solid state physics; this multidisciplinary synthesis was of great value to the students. For our partner organisations in SA, the contributions of the internship students provided solutions to significant SDGrelated questions. In particular, for Transport for Cape Town, they contributed to the improved integration of Cape Town transport and land use planning. For Siyavula, the intern explored their massive student progress data for new insights, and for Zoona, the intern estimated key risks based on micro-loans. For Ekaya, the intern analysed data to build a better picture of clients and hence help make this small startup more sustainable.
Impact Not yet
Start Year 2018
 
Description SA-DISCNet: A collaborative data science training network across southern Africa and southern UK 
Organisation University of Essex
Department School of Computer Science and Electronic Engineering
Country United Kingdom 
Sector Academic/University 
PI Contribution Our contributions were to provide support for PhD students during their internships in terms of modelling, numerical methods and simulation.
Collaborator Contribution The partners made a significant contribution to knowledge primarily for organisations in South Africa (SA) engaged in activities related to economic development, welfare, and SDGs, and secondarily for academics in SA and the UK. The training scheme we proposed was intrinsically multi-disciplinary, using insights from data science as used by physicists from cosmology, particle physics and solid state physics; this multidisciplinary synthesis was of great value to the students. For our partner organisations in SA, the contributions of the internship students provided solutions to significant SDGrelated questions. In particular, for Transport for Cape Town, they contributed to the improved integration of Cape Town transport and land use planning. For Siyavula, the intern explored their massive student progress data for new insights, and for Zoona, the intern estimated key risks based on micro-loans. For Ekaya, the intern analysed data to build a better picture of clients and hence help make this small startup more sustainable.
Impact Not yet
Start Year 2018
 
Description SA-DISCNet: A collaborative data science training network across southern Africa and southern UK 
Organisation University of Portsmouth
Department Institute of Cosmology and Gravitation (ICG)
Country United Kingdom 
Sector Academic/University 
PI Contribution Our contributions were to provide support for PhD students during their internships in terms of modelling, numerical methods and simulation.
Collaborator Contribution The partners made a significant contribution to knowledge primarily for organisations in South Africa (SA) engaged in activities related to economic development, welfare, and SDGs, and secondarily for academics in SA and the UK. The training scheme we proposed was intrinsically multi-disciplinary, using insights from data science as used by physicists from cosmology, particle physics and solid state physics; this multidisciplinary synthesis was of great value to the students. For our partner organisations in SA, the contributions of the internship students provided solutions to significant SDGrelated questions. In particular, for Transport for Cape Town, they contributed to the improved integration of Cape Town transport and land use planning. For Siyavula, the intern explored their massive student progress data for new insights, and for Zoona, the intern estimated key risks based on micro-loans. For Ekaya, the intern analysed data to build a better picture of clients and hence help make this small startup more sustainable.
Impact Not yet
Start Year 2018
 
Description SA-DISCNet: A collaborative data science training network across southern Africa and southern UK 
Organisation University of Southampton
Department Physics and Astronomy
Country United Kingdom 
Sector Academic/University 
PI Contribution Our contributions were to provide support for PhD students during their internships in terms of modelling, numerical methods and simulation.
Collaborator Contribution The partners made a significant contribution to knowledge primarily for organisations in South Africa (SA) engaged in activities related to economic development, welfare, and SDGs, and secondarily for academics in SA and the UK. The training scheme we proposed was intrinsically multi-disciplinary, using insights from data science as used by physicists from cosmology, particle physics and solid state physics; this multidisciplinary synthesis was of great value to the students. For our partner organisations in SA, the contributions of the internship students provided solutions to significant SDGrelated questions. In particular, for Transport for Cape Town, they contributed to the improved integration of Cape Town transport and land use planning. For Siyavula, the intern explored their massive student progress data for new insights, and for Zoona, the intern estimated key risks based on micro-loans. For Ekaya, the intern analysed data to build a better picture of clients and hence help make this small startup more sustainable.
Impact Not yet
Start Year 2018
 
Description SA-UK USDP Phase 2 Doctoral Training Centre 
Organisation University of Johannesburg
Country South Africa 
Sector Academic/University 
PI Contribution The aim of this partnership is to establish a university capacity development programme collaborative project to establish a four year university staff doctoral training programme in South Africa at a historically disadvantaged institution, in this case, the University of Limpopo. The partnership is working of a larger research proposal worth 5 million rands and will support up to 10 University Staff to be trained over a period of four years.
Collaborator Contribution Our partners contribute with both infrastructure and resources for phd training as well as venues and students to be trained.
Impact Not yet
Start Year 2019
 
Description SA-UK USDP Phase 2 Doctoral Training Centre 
Organisation University of Limpopo
Country South Africa 
Sector Academic/University 
PI Contribution The aim of this partnership is to establish a university capacity development programme collaborative project to establish a four year university staff doctoral training programme in South Africa at a historically disadvantaged institution, in this case, the University of Limpopo. The partnership is working of a larger research proposal worth 5 million rands and will support up to 10 University Staff to be trained over a period of four years.
Collaborator Contribution Our partners contribute with both infrastructure and resources for phd training as well as venues and students to be trained.
Impact Not yet
Start Year 2019
 
Description SA-UK USDP Phase 2 Doctoral Training Centre 
Organisation University of Stellenbosch
Country South Africa 
Sector Academic/University 
PI Contribution The aim of this partnership is to establish a university capacity development programme collaborative project to establish a four year university staff doctoral training programme in South Africa at a historically disadvantaged institution, in this case, the University of Limpopo. The partnership is working of a larger research proposal worth 5 million rands and will support up to 10 University Staff to be trained over a period of four years.
Collaborator Contribution Our partners contribute with both infrastructure and resources for phd training as well as venues and students to be trained.
Impact Not yet
Start Year 2019
 
Description South Africa: UK-APASI Sub-Saharan African Country Partner 
Organisation University of Johannesburg
Country South Africa 
Sector Academic/University 
PI Contribution 1. Development of collaborative research with faculty and students from the University of Johannesburg 2. Mentoring of junior faculty and early career fellows in mathematical sciences
Collaborator Contribution 1. Organisation of all UK-APASI participants from South Africa 2. Provision of internet facilities for participants in South Africa
Impact Too early
Start Year 2020
 
Description The London School of Hygiene and Tropical Diseases 
Organisation London School of Hygiene and Tropical Medicine (LSHTM)
Country United Kingdom 
Sector Academic/University 
PI Contribution 1. Development of collaborative research between partners 2. Joint research grant applications
Collaborator Contribution 1 Delivery of UK-APASI lectures 2. Mentoring of African researchers in Mathematical Sciences
Impact Too early
Start Year 2020
 
Description UK-SAMSA partnership 
Organisation Southern Africa Mathematical Sciences Association (SAMSA)
Country Botswana 
Sector Learned Society 
PI Contribution SAMSA has played a pivotal role in helping me deliver training and mentorship of early career research fellows in Africa by helping with recruitment of fellows in Africa as well as costs associated with advertising annual workshops across the Sub-Saharan Africa (SSA) region. My collaboration with SAMSA started in 2010 when SAMSA and the University of Sussex signed a memorandum of understanding to support research and training activities between UK and SSA. I was instrumental in designing and delivering the MoU.
Collaborator Contribution SAMSA has been a valuable partner, it represents more than 50 universities across SSA allowing us direct access to students and faculty in mathematical sciences.
Impact 1. Co-organising the UK-APASI workshops at the International Centre for Mathematical Sciences in Edinburgh 2, Co-organising the USA-UK-Masamu programme in November 2020 (virtual conference online).
Start Year 2020
 
Description University College London 
Organisation University College London
Country United Kingdom 
Sector Academic/University 
PI Contribution 1. Joint research grant applications 2.
Collaborator Contribution 1. Delivery of UK-APASI workshop series and their lectures 2. Mentoring of African Researchers in Mathematical Sciences
Impact Too early
Start Year 2020
 
Description University of Bath 
Organisation University of Bath
Department Department of Mathematical Sciences
Country United Kingdom 
Sector Academic/University 
PI Contribution The University of Bath is a partner in the UK-APASI consortium.
Collaborator Contribution 1. Co-delivering of lectures in epidemiology/infectious diseases 2. Research co-supervision through the USA-UK-Masamu programme
Impact 1. Training of early career fellows from Sub-Saharan Africa in Mathematical Sciences 2. Research co-supervision of early career fellows from the SSA region in Mathematical Sciences
Start Year 2020
 
Description University of Coventry 
Organisation Coventry University
Country United Kingdom 
Sector Academic/University 
PI Contribution 1. Development of joint grant applications 2. Provision of postgraduate lectures to UK-APASI workshop series
Collaborator Contribution 1. Delivery of online postgraduate advanced lectures 2. Mentoring of African researchers in Mathematical Sciences
Impact Too early
Start Year 2020
 
Description Zimbabwe: UK-APASI Sub-Saharan African Country Partner 
Organisation University of Zimbabwe
Country Zimbabwe 
Sector Academic/University 
PI Contribution The University of Zimbabwe is one of the Sub-Saharan African country that is a partner in the UK-APASI programme.
Collaborator Contribution 1. Organisation of UK-APASI participants who are resident in Zimbabwe 2. Provision of online facilities to participants
Impact Too early to say.
Start Year 2020
 
Title Software for cell tracking 
Description We developed a robust and efficient algorithm for single and population cell tracking that could help experimentalists characterise cell tracking statistical measures. 
IP Reference  
Protection Copyrighted (e.g. software)
Year Protection Granted 2018
Licensed Yes
Impact The software for cell tracking has been licenced to TissuGnostics and will be released in their next version and rolled out to customers.
 
Title Software and algorithm development for cell tracking 
Description We have successfully developed a cell tracking algorithm for single and population cell migration and the software has been licenced with TissueGnostics. The current status is that the software will be moved from a demo version to a commercial version in the next few months and hopefully it will be released in the next version. By using optimal control theory, we have developed a proof-of-concept software package for cell tracking with the potential of tracking whole cell morphology. The software has undergone trials with IBIDI with an eye of embedding the package into their commercial packages. In particular it has the potential to help biologists automatically quantify proliferation rates which are currently done manually, i.e. counting cell division rates. 
Type Of Technology Software 
Year Produced 2018 
Impact Although there are no notable impacts to date, this software is currently being developed as part of the REF impact case for 2020. 
 
Description 9th European conference on mathematical and theoretical biology 
Form Of Engagement Activity Scientific meeting (conference/symposium etc.)
Part Of Official Scheme? No
Type Of Presentation keynote/invited speaker
Geographic Reach International
Primary Audience Other academic audiences (collaborators, peers etc.)
Results and Impact My research group presented invited talks and posters on models for cell motility and pattern formation. The talks and poster sparked a lot of questions and discussions since we presented new models.

As a result of the talks and poster presentations, researchers in Strathclyde (Scotland) and TU Delft (Netherlands) adopted some of our research results and methodology to their own research frameworks. Also researchers from these two institutions subsequently visited our research team here at Sussex to pursue collaborative research.
Year(s) Of Engagement Activity 2014
 
Description Inverse Problems - From theory to applications (IPTA2014) 
Form Of Engagement Activity Scientific meeting (conference/symposium etc.)
Part Of Official Scheme? No
Type Of Presentation keynote/invited speaker
Geographic Reach International
Primary Audience Other academic audiences (collaborators, peers etc.)
Results and Impact I gave an invited talk at the IPTA2014 conference in Bristol. The talk was well received with questions and discussions afterwards.

After the talk, there was an expression of interest from some of the participants on developing cell tracking algorithms for cell motility and this is the focus of our research.
Year(s) Of Engagement Activity 2014
 
Description Masamu Programme 
Form Of Engagement Activity Scientific meeting (conference/symposium etc.)
Part Of Official Scheme? Yes
Type Of Presentation keynote/invited speaker
Geographic Reach Regional
Primary Audience Postgraduate students
Results and Impact The Masamu Programme runs a Postgraduate advanced study institute in Mathematical sciences with a different theme every year (eg. mathematical biology, mathematical finance, discrete mathematics, Modellling and numerical analysis etc.) (10 full working days). During the institute fellows choose research working groups whereby they undertake publishable research under the supervision of the research leaders. The research groups continue to collaborate after the institute with publications an immediate result of their activities. The institute also offers specialised training resulting in fellows acquiring top-of-the-range skills in different fields.

Each year, on average 20 fellows are trained with several papers published throughout the year. Also, Heads of Departments get solid training to efficiently manage their departments as well as on grant funding opportunities in Africa and beyond. A couple of researchers within the programme have subsequently been supported to go on visiting fellowships in the UK and the US.
Year(s) Of Engagement Activity 2012,2013,2014
URL http://samsa-math.org/home/programmes/masamu/
 
Description SIANM Conference on Nonlinear Waves and Coherent Structures (NW14-SIAM) 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Other academic audiences (collaborators, peers etc.)
Results and Impact I was invited to give a talk at the SIAM-NW14 conference in Cambridge. During and after the talk, participants asked questions about the new models whereby we couple bulk and surface dynamics with applications to cell motility. After the talk, researchers at Bristol found our methodology appealing to their current research and have since invited us to visit their laboratories to explore avenues on applying our models to plant biology.

After the talk, a research group from Bristol would like to apply our model system to plant biology.
Year(s) Of Engagement Activity 2014
 
Description Symposium speaker and Forum Panelist at the Association of International Education Administrators (AIEA) annual conference in New Orleans, US 
Form Of Engagement Activity A formal working group, expert panel or dialogue
Part Of Official Scheme? Yes
Geographic Reach International
Primary Audience Policymakers/politicians
Results and Impact My presentation on multi-lateral partnerships between the UK, the US and Sub-Saharan Africa generated a lot of debate and discussions beyond those envisaged by the British Council.

After the panel presentation and the conference, I have received numerous emails with requests on modes for developing multi-lateral partnerships. The current EU Horizon2020 MSCA-ITN-2014 grant was inspired by such an activity involving international collaborators.
Year(s) Of Engagement Activity 2013
 
Description The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications 
Form Of Engagement Activity Scientific meeting (conference/symposium etc.)
Part Of Official Scheme? No
Type Of Presentation keynote/invited speaker
Geographic Reach International
Primary Audience Other academic audiences (collaborators, peers etc.)
Results and Impact I was invited to give a talk in one of the symposiums on dissipative systems and nonlinear pdes. The talk sparked questions and discussions afterwards with potential new collaborations with researchers in spain.

After the talk, a research group in Spain has contacted my research group to explore collaborative research in the area of modelling, analysis and simulations of new models for 3D cell migration.
Year(s) Of Engagement Activity 2014
 
Description The University of Sussex Environment and Health Advisory Group 
Form Of Engagement Activity A formal working group, expert panel or dialogue
Part Of Official Scheme? Yes
Geographic Reach Local
Primary Audience Other academic audiences (collaborators, peers etc.)
Results and Impact (1) Leadership in developing interdisciplinary research
(2) Securing internal and external funding to support interdisciplinary research between different schools and the Brighton and Sussex University Hospitals.
(3) Development of human infrastructure through the appointment of research personnel.

After each workshop, the participants were able to foster interdisciplinary research groups between schools with several researchers submitting funding proposals were interdisciplinarity was a core requirement.
Year(s) Of Engagement Activity 2014