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- Andrew M. Stein, T. Demuth, David Mobley, Michael E. Berens, Leonard M. Sander
- Biophysical journal
- 2007

Glioblastoma, the most malignant form of brain cancer, is responsible for 23% of primary brain tumors and has extremely poor outcome. Confounding the clinical management of glioblastomas is theâ€¦ (More)

- Charles R. Doering, Khachik Sargsyan, Leonard M. Sander
- Multiscale Modeling & Simulation
- 2005

We consider extinction times for a class of birth-death processes commonly found in applications, where there is a control parameter which determines whether the population quickly becomes extinct,â€¦ (More)

- Leonard M. Sander, Christopher P. Warren, Igor M. Sokolov, Christoph Simon, Jerzy Koopman
- Mathematical biosciences
- 2002

We consider a spatial model related to bond percolation for the spread of a disease that includes variation in the susceptibility to infection. We work on a lattice with random bond strengths andâ€¦ (More)

- Michal Oskar Nowicki, Nina A Dmitrieva, +9 authors Sean Lawler
- Neuro-oncology
- 2008

Therapies targeting glioma cells that diffusely infiltrate normal brain are highly sought after. Our aim was to identify novel approaches to this problem using glioma spheroid migration assays.â€¦ (More)

- Leonard M. Sander, Thomas S. Deisboeck
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2002

Highly malignant brain tumors such as glioblastoma multiforme form complex growth patterns in vitro in which invasive cells organize in tenuous branches. Here, we formulate a chemotaxis model forâ€¦ (More)

- Andrew M. Stein, David A. Vader, Louise M. Jawerth, David A. Weitz, Leonard M. Sander
- Journal of microscopy
- 2008

The geometric structure of a biopolymer network impacts its mechanical and biological properties. In this paper, we develop an algorithm for extracting the network architecture of three-dimensionalâ€¦ (More)

- Chi-Hang Lam, Chun-Kin Lee, Leonard M. Sander
- Physical review letters
- 2002

We study the morphological evolution of strained heteroepitaxial films using kinetic Monte Carlo simulations in two dimensions. A novel Green's function approach, analogous to boundary integralâ€¦ (More)

- Leonard M. Sander
- Nature
- 1986

The methods of fractal geometry allow the classification of non-equilibrium growth processes according to their scaling properties. This classification and computer simulations give insight into aâ€¦ (More)

- Christopher P. Warren, Leonard M. Sander, Igor M. Sokolov
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2002

We offer an example of a network model with a power-law degree distribution, P(k) approximately k(-alpha), for nodes, but which nevertheless has a well-defined geography and a nonzero thresholdâ€¦ (More)

- David A. Kessler, Leonard M. Sander
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2009

Dispersal of species to find a more favorable habitat is important in population dynamics. Dispersal rates evolve in response to the relative success of different dispersal strategies. In aâ€¦ (More)