I am an applied mathematician, focusing my research on interdisciplinary multi-scale approaches to utilize mathematics to understand the underlying complexity of various biological and biomedical problems in medicine and in particular, cancer.

Currently, I am working on developing multiscale models of cancer growth and treatment protocols to study various optimum treatment strategies; eventually to devise much needed predictive patient specific multimodality treatment regimes. These mathematical and computational models can be very helpful in gaining valuable insights into the mechanisms and consequences of various complex intracellular and intercellular changes during and after therapy.

Areas of Expertise

  • Mathematical Biology
  • Mathematical Oncology
  • Multiscale Cancer Modelling
  • Modelling Anticancer therapies
  • Applications of Imaging Techniques in Cancer Modelling
  • Modelling Wound Healing
  • Computational Mathematics


  1. & Systems oncology: Towards patient-specific treatment regimes informed by multiscale mathematical modelling. Seminars in Cancer Biology
  2. & Fast and high temperature hyperthermia coupled with radiotherapy as a possible new treatment for glioblastoma. Journal of Therapeutic Ultrasound 4(1)
  3. & Towards Predicting the Response of a Solid Tumour to Chemotherapy and Radiotherapy Treatments: Clinical Insights from a Computational Model. PLoS Computational Biology 9(7), e1003120
  4. & Strategies of Eradicating Glioma Cells: A Multi-Scale Mathematical Model with MiR-451-AMPK-mTOR Control. PLOS ONE 10(1), e0114370
  5. & The role of cellular heterogeneity on the therapeutic response of breast cancer: Clinical insights from a hybrid multiscale computational model. Cancer Research 72(24 Supplement), P5-05-02-P5-05-02.

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  • MA-262 Numerical Methods (with Matlab)

    Advanced numerical techniques for equation solving, integration, and visualisation

  • MA-302 Numerics of ODEs and PDEs

    This module is focused on numerical schemes suitable for the approximate solution of ODEs and PDEs. Whilst the methods may look different the underlying principles and convergence issues are remarkably similar. Many standard algorithms will be presented along with an analysis of their behaviour.

  • MA-M02 Numerics of ODEs and PDEs

    This module is focused on numerical schemes suitable for the approximate solution of ODEs and PDEs. Whilst the methods may look different the underlying principles and convergence issues are remarkably similar. Many standard algorithms will be presented along with an analysis of their behaviour.


  • Multiscale modelling and analysis of cancer growth and heatment strategies (current)

    Student name:
    Other supervisor: Prof Perumal Nithiarasu

Career History

Start Date End Date Position Held Location
2014 Present Senior Lecturer Swansea University, United Kingdom
2009 2014 Postdoctoral Researcher University of Dundee, United Kingdom
2004 2009 Ph.D (Applied Mathematics) University of Waterloo, Canada
2003 2004 M.Sc by Research (Computational Mathematics) National University of Singapore, Singapore
2001 2003 M.Sc (Mathematics) Indian Institute of Technology Madras, India

Administrative Responsibilities

  • REF UoA Working Group

    2016 - Present

  • REF UoA Impact Lead

    2016 - Present

Workshop on Mathematical Medicine and Mathematical Pharmacology (2-3 Feb 2017)

Organizing Committee: Dr Gibin Powathil, Dr Lloyd Bridge and Dr Elaine Crooks

This workshop focuses on mathematical medicine and mathematical pharmacology and will bring together established researchers, early career researchers, PhD students from various disciplines.The topics covered will span a broad spectrum of problems of current interest in oncology and pharmacology and will hopefully stimulate further interactions and research in novel directions. There will be talks on cancer and treatment modelling, biomedical modelling techniques and mathematical pharmacology.

This workshop will be of interest to mathematicians, biologists, experimentalist and clinical researchers. We hope that through this workshop we can generate a wider interest in this area by showcasing the usefulness and predictive nature of mathematical and computational models in Biosciences and Medicine and thus initiating new local, regional and national collaborations in this exciting area of science.

Please find more details and registration form here.

Current Research

I am a member of Centre for Biomathematics and Mathematical Methods in Biology and Life Sciences Group. Some of my recent research projects include:

1) Multiscale modelling of glioma growth and treatments:

Gliomas, the most common primary brain tumours, are diffusive and highly invasive. The standard treatment for brain tumours consists of a combination of surgery, radiation therapy and chemotherapy. Currently, I am developing a multiscale mathematical model for glioma growth using several patient-specific information to assist its treatment planning and delivery.

2) Modelling the effects of tumour heterogeneities on tumour growth and treatment responses:

It is necessary to understand the tumour heterogeneities in order to study cancer progression and plan effective treatment strategies. A growing tumour can change its microenvironment in its own favour by suppressing antiā€tumour factors and producing excess growth factors. There are also increasing evidences in support of the hypothesis that the tumour microenvironment plays an important role in conferring drug resistance, a major cause of relapse contributing to the incurability of cancer. 

3) Modelling drug resistance and its implications in cell-cycle phase specific chemotherapy:

The development of drug resistance by cancer cells continues to be a key impediment in the successful delivery of these multi-drug therapies. Recent studies have indicated that intra-tumoural heterogeneity has a significant role in driving resistance to chemotherapy in many human malignancies. Multiple factors, including the internal cell-cycle dynamics and external microenvironement contribute to the intra-tumoral heterogeneity. Our recent studies has indicated the role on slow-cycling tumour sub-populations in developing resistance to conventional chemotherapeutic drug.

4) Modelling radiation bystander effects and its implications in clinical radiotherapy:

Radiation-induced bystander effects are defined as those biological effects expressed, after the irradiation, by cells that are not directly exposed to the radiation. As a consequence of these bystander signals, the affected cells may die or show chromosomal instability as well as further abnormalities. Consequently, the bystander effect has several important implications for radiation protection, radiotherapy and diagnostic radiology. Currently, I am developing a hybrid model incorporating the multiple effects of radiation and radiation induced bystander effects.

5) Modelling intracellular signalling pathways involved in cancer progression:

Cancer is a heterogeneous disease often requiring complex alterations of a normal cell to drive it to malignancy and ultimately to a metastatic state. These alterations are largely due to aberrant expression of a set of genes or pathways such as p53 pathways and hypoxia pathways rather than a single gene. We have recently studied the effects of the miR-451-AMPK-mTOR pathway to study how up- or down-regulation of components in these pathways affects cell proliferation and migration.