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18 papers · 1 filter
Simulating Brain Tumor Heterogeneity with a Multiscale Agent-Based Model: Linking Molecular Signatures, Phenotypes and Expansion Rate
Le Zhang, Costas G. Strouthos, Zhihui Wang +1
We have extended our previously developed 3D multi-scale agent-based brain tumor model to simulate cancer heterogeneity and to analyze its impact across the scales of interest. Whi…
L'Hospital-type rules for monotonicity and limits: Discrete case
Iosif Pinelis
Assuming that a "derivative" ratio rho:=f'/g' of the ratio r:=f/g of differentiable functions f and g is monotonic (that is, rho is increasing or decreasing), it was shown in previ…
Side-chain and backbone ordering in Homopolymers
Yanjie Wei, Walter Nadler, Ulrich H. E. Hansmann
In order to study the relation between backbone and side chain ordering in proteins, we have performed multicanonical simulations of deka-peptide chains with various side groups. G…
Scale-free statistics of plasticity-induced surface steps on KCl single crystals
Jan Schwerdtfeger, Edward Nadgorny, Frederic Madani-Grasset +3
Experimental investigations of plastic flow have demonstrated temporal intermittency as deformation proceeds in a series of intermittent bursts with scale-free size distribution. I…
Geometric, electronic properties and the thermodynamics of pure and Al--doped Li clusters
Mal--Soon Lee, S. Gowtham, Haiying He +3
The first--principles density functional molecular dynamics simulations have been carried out to investigate the geometric, the electronic, and the finite temperature properties of…
Network Analysis of the State Space of Discrete Dynamical Systems
Amer Shreim, Peter Grassberger, Walter Nadler +3
We study networks representing the dynamics of elementary 1-d cellular automata (CA) on finite lattices. We analyze scaling behaviors of both local and global network properties as…