# Research

My research interests lie in the general area of biomathematics. In particular, I am currently developing particle-based numerical methods that are capable of incorporating complex particle interactions (such as red blood cell interaction) so as to properly simulate blood flow in biologically meaningful geometries.

The numerical method is also being used for stochastic simulations of biochemical systems, including reaction-diffusion equations.

In summary, my research areas are: Biomathematics, non-Newtonian fluid flow, reaction-diffusion equations, modeling and simulations; blood flow, compressible flow, mesoscopic fluid dynamics, and stochastic self-assembly.

## List of Selected Publications

- A. Sayyidmousavi and K. Rohlf. 2019. Stochastic simulations of the Schnakenberg model with spatial inhomogeneities using Reactive Multiparticle Collision Dynamics. AIMS Mathematics, 4: 1805-1823.
- A. Sayyidmousavi, K. Rohlf and S. Ilie. 2019. A Hybrid Method for Micro-Mesoscopic Stochastic Simulation of Reaction-Diffusion Systems. Mathematical Biosciences, 312: 23-32.
- A. Sayyidmousavi and K. Rohlf. 2018. Reactive multi-particle collision dynamics with reactive boundary conditions. Physical Biology, 15: 046007-1--12.
- K. Rohlf. 2018. Compressible slip flow through constricted cylinders with density-dependent viscosity. Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms, 25: 233-257.
- S. Rabba and K. Rohlf. 2018. Pressure curves for compressible flows with slip through asymmetric local constrictions. International Journal of Applied Nonlinear Science, 3: 21--40.
- R. Strehl and K. Rohlf. 2016. Multiparticle collision dynamics for diffusion-influenced signaling pathways. Physical Biology, 13: 046004-1--16.
- L. Regmi and K. Rohlf. 2016. Weakly compressible flow through a cylinder with pressure-dependent viscosity and Navier-slip at the wall. European Journal of Mechanics B/Fluids, 60: 13-23.
- T. Akhter and K. Rohlf. 2014. Quantifying compressibility and slip in multiparticle collision (MPC) flow through a local constriction. Entropy, 16: 418-442.
- S. Bedkihal, J.C. Kumaradas, and K. Rohlf. 2013. Steady flow through a constricted cylinder by multiparticle collision dynamics. Biomechanics and Modeling in Mechanobiology, 12: 929-939.
- T. Akhter, and K. Rohlf. 2013. Weakly compressible flow with slip through a local constriction. Proceedings of the 24th Canadian Congress of Applied Mechanics (CANCAM):
- P. Paudel, and K. Rohlf. 2011. Flow with slip through an aneurysm using particle-based methods. Proceedings of the 23rd Canadian Congress of Applied Mechanics (CANCAM): 1015-1019.
- S. Bedkihal, K. Rohlf, and J.C. Kumaradas. 2010. Steady flows through axisymmetric stenosis by multi-particle collision dynamics. CAP Congress 2010 Proceedings: 28.
- M. Plaza, O.K. Ngwenyama, and K. Rohlf. 2010. A comparative analysis of learning curves: Implications for new technology implementation management, European Journal of Operational Research, 200: 518-528.
- K. Rohlf. 2009. Particle-based approach to numerical simulation of stenotic flows. CANCAM 2009 Conference Proceedings: 239-240.
- K. Rohlf, 2009. Stochastic phase-space description for reactions that change particle numbers. Journal of Mathematical Chemistry, 45: 141-160.
- K. Rohlf, S. Fraser, and R. Kapral. 2008. Reactive Multiparticle Collision Dynamics. Computer Physics Communications 179: 132-139.
- M. Plaza, and K. Rohlf. 2008. Learning and Performance in ERP Implementation Projects: A Learning Curve Model for Analyzing and Managing Consulting Costs. International Journal of Production Economics, 115: 72-85.
- M. Habekost, and K. Rohlf. 2008. The evaluation of colour difference equations and optimization of DE2000. Journal of Graphic Technology 4: 149-164.
- A. Jasudavisius, and K. Rohlf. 2007. Numerical study of flow past a rotating circular cylinder. CANCAM (21st Canadian Congress of Applied Mechanics) 2007 Conference Proceedings: 290-291.
- K. Rohlf, L. Glass, and R. Kapral. 2006. Spiral Wave Dynamics in Excitable Media with Spherical Geometries. Chaos 16: 037115.
- C.S. Drapaca, G. Tenti, K. Rohlf, and S. Sivaloganathan. 2006. A Quasilinear Viscoelastic Constitutive Equation for the Brain: Application to Hydrocephalus. Journal of Elasticity 85(1): 65-83.
- K. Rohlf, and S.J.D. D'Alessio. 2005. Uniform Shear Flow Past a Circular Cylinder. Acta Mechanica 178:199-222.
- K. Rohlf, and G. Tenti. 2001. The role of the Womersley number in pulsatile blood flow: A theoretical study of the Casson model. J. Biomechan. 34:141-148.
- X. Liu, and K. Rohlf. 1998. Impulsive control of a Lotka-Volterra system. IMA J. Math. Control & Information 15:269-284.

## Membership of the School of Graduate Studies

Member of the School of Graduate Studies at Toronto Metropolitan University (Formerly Ryerson University) since November 2005.

## Current and Past Graduate Students and Postdoctoral Fellows

- Zaib Un Nisa Memon (PhD candidate in Mathematical Modelling, 2020-)
- Dexter Barrows (PhD candidate in Mathematical Modelling, 2019- (co-supervised))
- Pradeep Kunwar (PhD candidate in Mathematical Modelling, 2017-)
- Shumaila Asghar (MSc in Applied Mathematics, 2018-2020)
- Maria Jumani (MSc in Applied Mathematics, 2017-2019)
- Dr. Alireza Sayyidmousavi (Postdoctoral Fellow in Applied Mathematics, co-supervised with Dr. S. Ilie, September 2016-December 2018)
- Salina Aktar (MSc in Applied Mathematics, 2016-2018)
- Dr. Robert Strehl (Postdoctoral Fellow in Applied Mathematics, co-supervised with Dr. S. Ilie, July 2014-July 2016)
- Matthew DeClerico (MSc in Applied Mathematics, 2013-2015)
- Bhai Kumar Adhikari (MSc in Applied Mathematics, 2012-2014; co-supervised with Dr. J.P. Pascal)
- Pradeep Kunwar (MSc in Applied Mathematics, 2012-2014)
- Salahaldeen Rabba (MSc in Applied Mathematics, 2012-2014)
- Laxmi Regmi (MSc in Applied Mathematics, 2011-2013)
- Tahmina Akhter (MSc in Applied Mathematics, 2010-2012)
- Salil Bedkihal (MSc in Biomedical Physics, 2008-2010; co-supervised by Dr. J.C. Kumaradas)

## Funding

- NSERC Discovery Grant (2008-2015, 2017-2025)
- FOS Equipment Grant (2024, primary applicant) for new server
- FOS Equipment Grant (2021, primary applicant) for Intel one API
- FOS Equipment Grant (2019, primary applicant) for Maple
- FOS Accelerator Award (2017-2019)
- FOS Dean's Travel fund (2017,2019)
- FOS Equipment Grant (2017, co-applicant)
- FOS Dean's Research Fund (2015)
- NSERC Research Tools and Instruments Grant (co-applicant, 2007)
- University Starter Grant (2005)