Research

My research lies at the interface between fundamental disciplines (mathematics, numerical analysis, physics, scientific computing) and experimental sciences (developmental biology, biochemistry, cell biology, biomedicine, plant biology) and seeks to propose, develop, analyse and simulate new mathematical and computational approaches applied to experimental sciences.  Broadly speaking my research falls into the following fields:

  • Applied Mathematics
  • Computational Biology
  • Mathematical Biology 
  • Cell Motility (in particular cell migration)
  • Bio-medical Fluid Dynamics.
  • Biochemistry: Transport mechanisms for Dynein - From the cell membrane to the nucleus (work in collaboration wth biochemists: Dr. Majid Hafezparasat, School of Life Sciences, University of Sussex). 
  • Biomedical Engineering - Modelling of neutrophils in vivo (work in collaboration with Dr. Constantino Carlos Reyes-Aldasoro, Biomedical Engineeing, School of Engineering and Design).
  • Cell tracking algorithms (in collaboration with industrial partners, IBIDI GmBH, CYTOO, GRANDIENT TECH, SOFTWARE COMPETENCE CENTER HAGENBERG GmBH, ANDOR TECHNOLOGY PLC)
  • Plant Biology (in collaboration with University of Exeter and The Sainsbury Laboratory).

Within these fields, the following research topics are of interest: 

  • Biological pattern formation in Developmental Biology
  • Bifurcation theory for partial differential equations on growing domains and evolving surfaces
  • Multiscale modellling of arterial atherosclerotic plaques
  • Moving grid finite element methods for partial differential equations on fixed and continuously evolving domains
  • Surface finite elements for evolving surfaces and curved boundaries
  • Projected surface finite elements for evolving surfaces
  • Radially projected finite elements for evolving surfaces
  • Multiscale modelling of cell movement and deformation in Cell Motility
  • Transport mechanisms for Dynein
  • Cell motility - cell migration and cell tracking
  • Three-dimensional modelling of neutrophils in vivo
  • Inverse problems in Biology

Grants

  1.  Bacon, D. (PI). Nichol, R. Maartens, R. Sullivan, M. Clarkson, C. Fasli, M. Serjeant, S. Oliver, S. Lochner, M. Madzvamuse, A. and Pourtsidou, A.  SA-DISCNet: A collaborative data science training network across southern Africa and southern UK, Science and Technology Facilities Council. January 2018 - December 2018. Value Not Yet Known.
  2. Madzvamuse, A. Commission for Developing Countries, African Diaspora Mathematicians Program (ADMP), University of Sussex - University of Zimbabwe. April 2017 - March 2019. Euros 14,000.
  3. Madzvamuse, A. Royal Society Wolfson Research Merit Award Holder (generously funded by the Wolfson Foundation), 01 October 2016 - 30 September 2021. £50,000.
  4. Bershadsky, A. Dehmelt, L. Greenwood, C. Hoffman, B. Guttenberg, Z. Kahl, V. Kreuger, J. Kozlov, M. Leube, R. (Coordinator), Madzvamuse, A. Majer, P. Mattes, J. Merkel, R. Nalbant, P. Thorslund, S. van Rheenen, J. and Windoffer, R. InCeM - Research Training Network on Integrated Component Cycling in Epithelial Cell Motility. Europe Horizon2020 Marie Sklodowska-Curie Innovative Training Network (http://incem.rwth-aachen.de/index.html). January 2015 - December 2019. €3.8 million.
  5. Madzvamuse, A. Styles, V.A. Venkataraman, C. and Yang, F.W. Software development and commercialisation of cell tracking algorithms. HEIF (Sussex). £4,500. 
  6. Madzvamuse, A. Styles, V.A. and Venkataraman, C. Unravelling new mathemaitcs for 3D cell migration. The Leverhulme Trust Research Project Grant. 1 October 2014 - 30 September 2017. £258,593
  7. Madzvamuse, A., and Styles, V.A. Chancellor's International Research Scholarship (CIRS). University of Sussex, PhD studentship, 18 September 2014 - 17 September 2017. £45,000
  8. Venkataraman, C. Styles, V.A. and Madzvamuse, A. Algorithm development for use in commercial cell tracking software. Higher Education Infrastructure Fund (HEIF). 1 December 2013 - 31 July 2014. £3,500
  9. Banfi, A. Garaway, B, Madzvamuse, A. Salvatore, F and Thomas, P. High Performance Computing Equipment. The School of Mathmatical and Physical Sciences, The University of Sussex. £104,000 
  10. Jenda, O.M., Abebe, A., Madzvamuse, A (Senior Personnel), et al., US-Africa Collaborative Research Network. National Science Foundation. US$415,000. 1 September 2013 - 31 August 2018.
  11. Madzvamuse, A. and Venkataraman, C. Junior Research Associate. University of Sussex. £1,800. 24 July - 24 August 2013.
  12. Madzvamuse, A. Leube,R. Merkel, R. and Othmer, H.  Coupling geometric PDEs for cell motility, morphology and pattern formation. The Isaac  Newton Institute for Mathematical Sciences (6-months research programme). 13 July 2015 - 18 December 2015.  (>) £256, 000
  13. Madzvamuse, A., and Styles, V.A. Modelling, analysis and simulation of spatial patterning on evolving surfaces. Engineering and Physical Sciences Research Council (EPSRC). £496,463.20: 1 June 2012 - 31 May 2015.
  14. Madzvamuse, A. Strengthening the UK, US and Southern African human infrastructure in Mathematical Sciences. British Council through its UK-US New Partnership Fund (PMI2). £20,000: 1 April 2011 - 30 March 2012.
  15. Li, D., and Madzvamuse, A. Junior Research Fellowship. University of Sussex. £1,800: 23 June - 23 August 2012.
  16. Madzvamuse, A., and Hafezparast, M. PhD Doctoral Training Assistantship. University of Sussex. £60,627: 20 September 2012 - 20 March 2016.
  17. Madzvamuse, A. PhD Doctoral Training Assistantship. The Medical Research Council and the University of Sussex. £60,627: 1 October 2011 - 31 March 2015. 
  18. Madzvamuse, A. Mentoring African Research in Mathematics. London Mathematical Society (LMS). £10,000: 1 January 2011 - 31 December 2012.
  19. Madzvamuse, A. and Hafezparast, M. Junior Research Fellowship. University of Sussex: £1,800: 01 July - 17 August 2011.
  20. Jenda, O.M., Abebe A., Madzvamuse, A. et al., Africa Advanced Study Institute in Mathematical Sciences 2011. National Science Foundation. $200,000: 1 January 2011 - 31 December 2011. 
  21. Madzvamuse, A. International Travel Grant. British Council. £1,500: 12 - 20 July 2010.
  22. Madzvamuse, A. International Conference Travel Grant. LMS. £800: 19 May - 31 August 2010. 
  23. Madzvamuse, A. and Maini, P.K. Mathematical modelling, analysis and simulation of spatial patterning. EPSRC. £16,667: 17 August - 16 October 2009. 
  24. Madzvamuse, A. and Maini, P.K. Mathematical modelling, analysis and simulation of spatial patterning. LMS. £1,200: 17 August - 16 October 2009.
  25. Madzvamuse, A. Mathematical modelling of cell membrane deformation. The Royal Society. £4,000: 24 October - 24 November 2009. 
  26. Madzvamuse, A. International Conference Travel Grant. The Royal Society. £905: 1 July - 31 August 2008. 
  27. Jenda, O.M., Abebe, A., Madzvamuse, A. et al., GK-12 Fellowship. National Science Foundation. $2,000,000: 1 February 2006 - 30 September 2009. 

Current Postdoctoral Research Fellows:

  1. Dr. Feng (Tim) Wei Yang, School of Mathematical Physical Sciences Impact Case Fellow. Commercialisation of software algorithms for particle and whole cell tracking. 1 October 2017 - 30 September 2018.

Past Postdoctoral Research Fellows:

  1. Dr. Feng (Tim) Wei Yang, Leverhulme Trust Postdoctoral Fellow. Unravelling new mathematics for 3D cell migration. 1 October 2014 - 30 September 2017. Co-advised: Dr Vanessa Styles, Dr Chandrasekhar Venkataraman.
  2. Dr. Chandrasekhar Venkataraman, Lecturer in Mathematical Biology at the University of St Andrews. Formerly an EPSRC Postdoctoral Research Fellow in Modelling, analysis and simulation of spatial patterning on evolving surfaces. 1st November 2012 - 31 May 2015. Co-advised with Dr Vanessa Styles.

Visiting Research Fellows

 

  1. Dr Maria Teresa Sanchez Rua, Centro Universitario de la Defensa de Zaragoza, Academia General Militar, Zaragoza, Spain working on Cell migration through microfluidic devices (November 2015 - January 2016).
  2. Mr Massimo Frittelli, University of Lecce, Italy: Analysis and simulations of lumped surface finite elements with applications to reaction-diffusion systems  (23 October - 6 November 2016).

Teaching Fellow:

  1. Dr Michael Strauss. Leverhulme Trust Teaching Fellow: Unravelling new mathematics for 3D cell migration. 1 October 2014 - 31 July 2016. 
  2. Dr Michael Taylor. Leverhulme Trust Teaching Fellow: Unravelling new mathematics for 3D cell migration. 1 August 2016 - 30 September 2017.

Past DPhil Students:

  • 2016
  1. Dr. Laura Trott (Associate Tutor at Sussex): Thesis Title: A physical model describing the transport mechanisms of Cytoplasmic Dynein.
  • 2015
  1. Dr. Andy H.W. Chung (Employed by a Software Development Company in Brighton). Graduated 30/09/2015: Thesis Title: Novel mathematical and computational approaches for modelling biological systems
  2. Konstantinos Blazakis: (now a Postdoctoral Fellow): Graduated 30/09/2015: Thesis Title: Computational methods for investigating cell motility with applications to neutrophil cell migration
  • 2012
  1. Dr. Uduak E. George (now a Post-doc at  University of Wisconsin at Milwaukee, Wisconsin, USA), Graduated 13/01/2012: Thesis TitleA numerical approach to study cell dynamics
  • 2011
  1. Dr. Chandrasekhar Venkataraman (a former Post-doc under Professor Charles M. Elliott at the University of Warwick, Conventry, UK), Graduated 06/06/2011: Thesis Title: Reaction-diffusion systems on evolving domains with applications to the theory of biological pattern formation

Current DPhil Students:

  1. Alhazmi, Muflih: Funding: The Saudi Government
  2. Campillo Funollet Eduard: Funding:  The Leverhulme Trust Research Project Grant (RPG-2014-149)
  3. Cusseddu Davide. Funding: EU Horizon2020 MSC-ITN Research Fellow
  4. Juma Victor. Funding: EU Horizon2020 MSC-ITN Research Fellow
  5. Kasbi, Kamillia, Funding: EPSRC DTC Studentship (Jointly with the Life Sciences)
  6. Kiplangat, Benard Kipchumba: Funding: The University of Sussex Chancellor International Research Scholarship
  7. Murphy Laura. Funding: ESPRC DTC Studentship
  8. Sarfaraz Wakil: Funding: School of Mathematical and Physical Sciences
  9. Van Yperen James: Funding: ESPRC DTC Studentship

Junior Research Associates:

  • 2014-2015
  1. Hayley Wragg: Project Title: Unearthing mathematical models for cell-surface dynamics: From experiments to mathematics. Funding: University of Sussex Junior Research Associate Award. 
  2. Francesca Jeffryes: Project Title: Coupled bulk-surface models for cell motility: Analysis and simulations. Funding: University of Sussex Junior Research Associate Award. 
  • 2013-2014
  1. Adam Nixon. Project Title: Modelling cellular adhesion. 23 June - 23 August 2013. Co- supervisor: Dr C. Venkataraman, EPSRC Research Fellow.University of Sussex. Supported by a £1,800 Junior Research Fellowship.
  • 2011-2012
  1. Charles Morrison. Project TitleConquering Major Bottlenecks in Fluorescence Imaging Microscopy with Simple and Low-Cost Mathematical Techniques. 23rd June - 23th August 2012. Co-superviser: Dr. D. Li. Lecturer in  Bio-medical Engineering, University of Sussex. Supported by a £1,800 Junior Research Fellowship.
  • 2010-2011
  1. Laurie Crossley. Project Title: From the cell membraine to the nucleus: Unearthing transport mechanisms for Dynein. 3rd July - 16th August 2011. Co-supervisor: Dr. M. Hafezparast. Reader in Biochemistry, University of  Sussex. Supported by a £1,800 Junior Research Fellowship.

Research Internships:

  • 2011-2012
  1. Miss Camille Marchet (University of Lyon 1, France). Project Title:  Three dimensional mathematical modelling of neutrophils in vivo. Co-Supervisor: Constantino Carlos Reyes-Aldasoro, Biomedical Engineeing, School of Engineering and Design. 13th May - 16th August, 2012. 

Former MSc Students  and Thesis Dissertations

  1. Murphy, Laura. 2013-2014: Project Title: Continuation Method: Understanding the use of AUTO. Co-supervisor: Dr C. Venkataraman. EPSERC  Research Fellow.
  2. Ismail, Amirah. 2012-2013: Project Title: In vivo keratin cycle assembly model.
  3. Saidin H. A. Lasit: 2009-2010. Project Title: Reaction-diffusion systems on evolving surfaces
  4. Maureen Siew Fang Chong: 2008-2009. Project Title:  A study of the stability of the mathematical model of Hepatitis C virus infection
  5. Rodrigue Kammogne: 2006-2007 (now a D.Phil student at the University of Birmingham, UK). Project Title: IMEX finite difference schemes for Black-Scholes PDE applied the European Option.
  6. Neil McTaggart: 2006-2007. Project Title: Implicit-Explicit Finite Difference Schemes for  Black-Scholes Partial Differential Equation Applied to  the European Option. 
  7. Aneesh Hariharan: 2004-2005: (now a PhD student at the University of Washington, Seattle, USA)

Former BSc/MMaths Students and Project Dissertations

  1. Benjamin J. McCann: 2007-2008: Project Title: Mathematical modelling of T-cell dynamics in the presence of HIV infection (co-supervised with Dr. I. Kiss).
  2. James Hannam: 2007-2008: Project Title: Mathematical Modelling of multi-strain dynamics (co-supervised with Dr. I. Kiss).
  3. Matthew Traylor: 2007-2008: Project Title: Numerical approximations of reaction-diffusion systems on one-dimensional growing domains.

Recent Research visits:

  1. Isaac Newton Institute for Mathematical Sciences: July 13 - December 18, 2015
  2. Oberwolfach: November 29 - December 4, 2015
  3. Department of Cell Biology; RIMLS, Radboud University Medical Centre, Nijmegen
    The Netherlands
    ; May 26 - 28, 2015
  4. Laboratoire Interdisciplinaire de Physique, Université Grenoble Alpes, France: April 26 - 29, 2015
  5. Industrial Research Visit: IBIDI GMBH, Munich, Germany, June 3rd 2015
  6. Industrial Research Visit: BITPLANE, A Subsidiary of Andor, July 6th 2015
  7. Industrial Research Visit: Cytoo, Grenoble, France. April 26th 2015
  8. Industrial Research Visit: IBIDI GMBH, Munich, Germany. 1 – 3 July 2014
  9. Industrial Research Visit: Software Competence Center Hagenberg GMBH, Austria. 20 – 23 July 2014
  10. Forschungszentrum Juelich Institute of Complex (ISC-7), Germany. 1-15 September 2013.
  11. RWTH University of Aachen, Molecular and Cellular Anatomy Laboratory, Germany. 1 - 15 September 2013
  12. University of Auburn, Alabama, USA. 23 - 28 April, 2013
  13. Isaac Newton Institute, University of Cambridge: 17 - 26 June 2012.
  14. University of Cape Town, South Africa: 21 April - 2 May 2012. 
  15. University of Botswana and Botswana College of Agriculture, Botswana: 26 - 29 April 2012 
  16. University of Auburn, Alabama, USA: Twice annually for total period of 4 weeks. 
  17. University of Tulsa, Oklahoma, USA: 27 February - 04 March 2012. 
  18. University of Grenoble, France: 24 October - 24 November 2009. 
  19. University of Lyon 1, Lyon, France: 11 - 16 November 2009. 
  20. University of Bogazici, Instabul, Turkey: 25 June - 16 August 2009. 
  21. University of Nairobi, Kenya: 10 - 23 January 2011.
  22. Chubu University, Nagoya, Japan: 01-31 October 2002.

Vacancies:

Currently there are no vacancies.