Mathematical modelling 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 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.Surprisingly, very little research has been carried out on how growth affects pattern formation. In the past 15 years a number of research groups have shown both from experimental and theoretical viewpoints, that growth can have a profound effect on pattern selection. In this proposed project we would like to invite Prof Sekimura, Department of Biological Chemistry, Chubu University, Japan to visit the universities of Sussex and Oxford to develop collaborations on mathematical modelling of fish patterns during development from the early stages to adulthood. Sekimura is a mathematical biologist with expertise in pattern formation in developmental biology with whom we have collaborated for a number of years. Our aim is to address biological pattern formation in the paradigm model of fish pigmentation pattern. Because of its experimental tractability, this model could potentially reveal important insights for pattern formation in general. Progress has already been made in analysing the effects of domain growth and in multiscale analysis linking genetic level information to macroscopic level patterning outcome. Crucially, Sekimura's laboratory has acquired detailed data on how patterns on two different kinds of fish change during growth, allowing us to test various hypotheses on how these patterns could be generated.Studies have shown that reaction-diffusion (RD) type models appear to be excellent for describing gross patterning behaviour in this system. Our studies have shown, however, that the traditional model is inadequate to describe the more complex details and that one has to consider these models on heterogeneous, growing domains, of complex geometry. This raises new problems for numerically solving the system, carrying out mathematical analyses and indeed doing the modelling itself. These three key issues (modelling, analysis and numerics) will be the focus of this research. Sekimura has acquired extensive experimental data on how patterns evolve during growth to enable us to verify our models. The key challenges will be to incorporate known biology into mathematical models and then solving these models. We anticipate that these models will be of RD type with spatially varying parameters to be solved on complex-shaped growing domains and evolving surfaces. We intend to investigate the following:1. Extending the (very little) analysis available for RD systems in spatially non-homogeneous environments.2. Modelling the problem on complex non-uniform growing domains - again very little analytical and numerical work has been done in this context.3. Verifying the model with experimental data. Particular applications will be addressed for which Sekimura has acquired experimental data.Recently we extended for the first time, diffusion-driven instability analysis for RD systems from fixed to arbitrary growing domains.This study addressed one of the main objections to the Turing mechanism, namely that it operates only under very restrictive, biologically unrealistic, conditions. We will initiate a detailed study to discover reaction kinetics which might give rise to patterns only in the presence of domain growth and these need not necessarily be of the standard short-range activation, long-inhibition form.
Planned Impact
First and foremost, the proposed research project will contribute to the understanding of the formation of patterns during growth and development in biology with particular applications to fish pigmentation patterning. Secondly, the derivation of the mathematical models in non-homogeneous environments will necessitate significant extension of prevailing mathematical techniques for analysing systems reaction-diffusion equations. Numerical analysis will benefit from the development of innovative numerical methods to solve the model equations on continuously deforming and growing domains and evolving surfaces. In the short term, academic beneficiaries will benefit from interacting directly on a face-to-face basis with Professor Sekimura during the visit. In the long term, the wider academic communities will benefit through peer-reviewed papers, attending conferences, seminars or workshops delivered by the investigators. The results of this research will be available as open-source codes easily accessible from public search engines such as Google. Our group has developed software packages for moving grid finite element methods which can be down-loaded freely from Madzvamuse's website (see: http://www.maths.sussex.ac.uk/~anotida/software.php). Since 2000, these packages have been used widely within the scientific community by several researchers interested in the solution of reaction-diffusion systems on fixed and growing domains. In the same vein, the numerical algorithms developed during this visit will enrich software development for partial differential equations on evolving surfaces. Since the packages can be down-loaded freely, programmers and researchers outside the academic research community interested in solving partial differential equations on continuously changing environments will be able to access the algorithms and adapt them to their specific problems. For example, partial differential equations are widely used in bio-medicine and financial mathematics; their extensions to continuously changing environments will be of interest to medical researchers and financial analysts. 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). For a detailed impact summary, see attachment.
Organisations
- University of Sussex (Lead Research Organisation)
- Gradientech AB (Collaboration)
- RWTH Aachen University (Collaboration)
- University Duisburg-Essen (Collaboration)
- Forschungszentrum Jülich (Collaboration)
- Software Competence Center Hagenberg (Collaboration)
- Andor Technology (Collaboration)
- Weizmann Institute of Science (Collaboration)
- Tel Aviv University (Collaboration)
Publications
Madzvamuse A
(2014)
Fully implicit time-stepping schemes and non-linear solvers for systems of reaction-diffusion equations
in Applied Mathematics and Computation
Lakkis Omar
(2011)
Implicit-explicit timestepping with finite element approximation of reaction-diffusion systems on evolving domains
in arXiv e-prints
Crossley L
(2012)
From the cell membrane to the nucleus: unearthing transport mechanisms for dynein.
in Bulletin of mathematical biology
Campillo-Funollet E
(2019)
Bayesian Parameter Identification for Turing Systems on Stationary and Evolving Domains.
in Bulletin of mathematical biology
Rata S
(2018)
Two Interlinked Bistable Switches Govern Mitotic Control in Mammalian Cells
in Current Biology
Shen W
(2012)
Characterization of turing diffusion-driven instability on evolving domains
in Discrete and Continuous Dynamical Systems
Madzvamuse A
(2013)
The moving grid finite element method applied to cell movement and deformation
in Finite Elements in Analysis and Design
Frittelli M
(2019)
Preserving invariance properties of reaction-diffusion systems on stationary surfaces
in IMA Journal of Numerical Analysis
Mackenzie J
(2009)
Analysis of stability and convergence of finite-difference methods for a reaction-diffusion problem on a one-dimensional growing domain
in IMA Journal of Numerical Analysis
Madzvamuse A
(2016)
A note on how to develop interdisciplinary collaborations between experimentalists and theoreticians
in Interface Focus
Description | This small grant funding allowed us to carry-out seed-pilot research on modelling, analysis and simulations of partial differential equations on evolving domains. The analytical and computational framework and methodology we developed, allowed us to (i) prove the global existence of solutions for reaction-diffusion systems on evolving domains, (ii) prove conditions for domain-induced driven instability (a generalisation of the classical Turing diffusion-driven instability conditions), (iii) use floquet and Lyapunov exponent theory to study the long time behaviour of solutions for reaction-diffusion systems on evolving domains and (iv) develop novel numerical methods for solving reaction-diffusion systems on evolving domains. We also proposed and developed a model describing mechanisms for pattern formation of the Japanese flounder fish during growth development. This work was in collaboration with Professor Toshio Sekimura who was supported by the grant as a visiting scholar. Our work with Dr Raquel Barreira on the development of the surface finite element method for reaction-diffusion systems on biological surfaces has attracted a lot of attention and citations from applied mathematicians, experimentalists as well as numerical analysts and computer scientists. Barreira was also supported as a visiting scholar by this grant. |
Exploitation Route | 1. Modellers - Through the development of new models for pattern formation on biological surfaces, eg. bulk-surface pdes, coupling visco-elastic models with geometric surface pdes to study cell motility 2. Numerical analysts - Study new models coupling surface and bulk dynamics. There is very little known on coupling chemical and biomechanical processes in the bulk to those on the surface. 3. Biologists - By carrying out experimental manipulations suggested by predictions of our models for pattern formation, dynein transport mechanisms from the cell membrane to the nucleus, mechanisms for rice blast disease, cell migration in 2- and 3-dimensions. |
Sectors | Chemicals Education Environment Healthcare Pharmaceuticals and Medical Biotechnology |
Description | 1.Developmental biology - There is a conscious effort by experimentalists to develop non-standard experimental techniques for pattern formation where the surface is continuously evolving. 2. Cell motility - Our models coupling bulk-surface pdes are currently being applied to study biochemical interactions between the plasma membrane and cellular internal dynamics. 3. Biochemistry - Experimental manipulations involving mutated dynein are currently being undertaken at the Department of Biochemistry at Sussex to verify theoretical predictions of our mathematical model for dynein transport from the cell membrane to the nucleus. |
First Year Of Impact | 2010 |
Sector | Chemicals,Education,Environment,Healthcare |
Impact Types | Societal Economic |
Description | Africa Advanced Study Institute in Mathematical Sciences |
Amount | $200,000 (USD) |
Organisation | National Science Foundation (NSF) |
Sector | Public |
Country | United States |
Start | 01/2011 |
End | 12/2011 |
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 | 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 | £800 (GBP) |
Organisation | London Mathematical Society |
Sector | Academic/University |
Country | United Kingdom |
Start | 04/2010 |
End | 08/2010 |
Description | International Travel Grant |
Amount | $1,000 (USD) |
Organisation | British Council |
Sector | Charity/Non Profit |
Country | United Kingdom |
Start | 01/2012 |
End | 03/2012 |
Description | International Travel Grant |
Amount | £1,500 (GBP) |
Organisation | British Council |
Sector | Charity/Non Profit |
Country | United Kingdom |
Start | 06/2010 |
End | 08/2010 |
Description | Mathematical modelling of cell membrane deformation |
Amount | £4,000 (GBP) |
Organisation | The Royal Society |
Sector | Charity/Non Profit |
Country | United Kingdom |
Start | 09/2009 |
End | 11/2009 |
Description | Mathematical modelling of dynein transport mechanisms from the cell membrane to the nucleus |
Amount | £60,000 (GBP) |
Organisation | University of Sussex |
Department | School of Mathematical and Physical Sciences Sussex |
Sector | Academic/University |
Country | United Kingdom |
Start | 08/2012 |
End | 08/2016 |
Description | Mathematical modelling, analysis and simulation of spatial patterning |
Amount | £1,200 (GBP) |
Organisation | London Mathematical Society |
Sector | Academic/University |
Country | United Kingdom |
Start | 07/2009 |
End | 11/2009 |
Description | Mentoring African Researchers in Mathematics |
Amount | £10,000 (GBP) |
Organisation | London Mathematical Society |
Sector | Academic/University |
Country | United Kingdom |
Start | 01/2011 |
End | 12/2012 |
Description | Modelling, analysis and simulation of spatial patterning on evolving surfaces |
Amount | £401,000 (GBP) |
Funding ID | EP/J016780/1 |
Organisation | Engineering and Physical Sciences Research Council (EPSRC) |
Sector | Public |
Country | United Kingdom |
Start | 11/2012 |
End | 10/2015 |
Description | Modelling, analysis and simulations of semi-linear pdes in biology |
Amount | £60,000 (GBP) |
Organisation | University of Sussex |
Department | Genome Damage and Stability Centre |
Sector | Academic/University |
Country | United Kingdom |
Start | 09/2011 |
End | 09/2015 |
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 | Strengthening the UK, US and Southern African human infrastructure in Mathematical Sciences |
Amount | £20,000 (GBP) |
Organisation | British Council |
Sector | Charity/Non Profit |
Country | United Kingdom |
Start | 03/2011 |
End | 03/2012 |
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 | 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 | 2012 |
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 | 2012 |
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 | 2012 |
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 | 2012 |
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 | 2012 |
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 | 2012 |
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 | 2012 |
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 | 2012 |
Title | Software and algorithm development for cell tracking |
Description | 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 is currently undergoing trials with IBIDI with an eye of embedding the package into their commercial packages. |
Type Of Technology | Software |
Year Produced | 2014 |
Impact | Not yet since it is under trial. |