Marc Daniel Ryser

Marc Daniel Ryser
  • Visiting Assistant Professor in the Department of Mathematics
  • Visiting Assistant Professor in the Department of Surgery (Secondary)
External address: 1021 Minerva Ave, Apt 2, Durham, NC 27701

Research Areas and Keywords

Biological Modeling
cancer biology, cancer epidemiology, early carcinogenesis, Human papillomavirus, cancer evolution
Computational Mathematics
cancer evolution
PDE & Dynamical Systems
bone biology, pattern formation
cancer biology, cancer epidemiology, early carcinogenesis, Human papillomavirus, cancer evolution

I am the recipient of the 2013 Doctoral Prize of the Canadian Mathematical Society..

Recently in the news: my HPV research.

Currently, I am working on the following topics:

  • Intratumor heterogeneity: spatial stochastic modeling
  • HPV and cervical cancer: stochastic modeling at tissue-level
  • Sexual networks and HPV vaccination: infectious disease dynamics on random dynamic graphs
  • Synthetic biology: modeling of synthetically engineered bacterial cultures
  • Bone remodeling: stochastic spatial models and evolutionary game theory

For a detailed description of past and current research projects, please visit

Education & Training
  • Ph.D., McGill University Faculty of Medicine 2011

Ryser, MD, McGoff, K, Herzog, DP, Sivakoff, DJ, and Myers, ER. "Impact of coverage-dependent marginal costs on optimal HPV vaccination strategies." Epidemics 11 (June 2015): 32-47. Full Text

Hairer, M, Ryser, MD, and Weber, H. "Triviality of the 2D stochastic Allen-Cahn equation." (January 15, 2012).

Ryser, MD, Qu, Y, and Komarova, SV. "Osteoprotegerin in bone metastases: mathematical solution to the puzzle." PLoS Comput Biol 8.10 (2012): e1002703-. Full Text

Ryser, M, Komarova, SV, and Nigam, N. "The cellular dynamics of bone remodeling: a mathematical model." SIAM J. Appl. Math. 70, pp. 1899-1921 (November 27, 2011).

Ryser, MD, Nigam, N, and Tupper, PF. "On the well-posedness of the stochastic Allen-Cahn equation in two dimensions." (April 4, 2011).

Ryser, MD, Nigam, N, and Komarova, SV. "Mathematical modeling of spatio-temporal dynamics of a single bone multicellular unit." J Bone Miner Res 24.5 (May 2009): 860-870. Full Text

Lehning, M, Loewe, H, Ryser, MD, and Raderschall, N. "Inhomogeneous precipitation distribution and snow transport in steep terrain." Water Resour. Res. (2008). (Academic Article)

Buenzli, PR, Martin, PA, and Ryser, MD. "Thermal quantum electrodynamics of nonrelativistic charged fluids." Phys Rev E Stat Nonlin Soft Matter Phys 75.4 Pt 1 (April 2007): 041125-.

Tumor ancestral trees are physically embedded within their tumors

In cancer treatment, metastatic tumors receive equal treatment.  Patients are given the same aggressive therapies when abnormal clusters of cells are discovered early, even if they may be harmless.  In research studies co-led by Duke's Marc Ryser... read more »

New Approach to Bone Remodeling

Kevin Murgas (Biomedical Engineering, Class 2017), started working on this project during a Research Experience for Undergraduates (REU) program in mathematical biology in the summer of 2015. Together with his research mentor, Dr. Marc Ryser, they... read more »

Study: Vaccinating Boys Against HPV Could Prevent Cancer In Men and Women

A mathematical model from Duke University mathematicians suggests more can be done to protect people from the human papilloma virus.    HPV is associated with cervical cancer in women, but can also cause various cancers in men.   Duke mathematician... read more »

Mathematical model suggests select DCIS patients could delay treatment

Active surveillance could be a viable alternative to surgery and radiation for select patients with ductal carcinoma in situ, or DCIS, according to a mathematical model developed by researchers at Duke University.... read more »

Who Can Delay Breast Cancer Treatment? A New Math Model Adds Clues

A new study adds to a growing conversation on the best way to treat women with stage 0 breast cancer read more »