6 papers
Density-dependent growth emerges from Bayesian adaptation of phenotype
Manish Kumar Gupta, Arnab Barua, Haralampos Hatzikirou
Classical models often describe early tumor expansion as exponential growth, yet experimental and clinical evidence shows that tumor populations can deviate systematically from thi…
Phase space integrity in neural network models of Hamiltonian dynamics: A Lagrangian descriptor approach
Abrari Noor Hasmi, Haralampos Hatzikirou, Hadi Susanto
We propose Lagrangian Descriptors (LDs) as a diagnostic framework for evaluating neural network models of Hamiltonian systems beyond conventional trajectory-based metrics. Standard…
Data-driven macroscopic dynamics of complex networks using Topological Data Analysis and the Equation-Free Method
Konstantinos Spiliotis, Ole Sönnerborn, Haralampos Hatzikirou +1
In this work, we present a computational framework for exploring and analyzing the macroscopic dynamics of complex agent-based network models by integrating Topological Data Analys…
A finite difference method with symmetry properties for the high-dimensional Bratu equation
Muhammad Luthfi Shahab, Hadi Susanto, Haralampos Hatzikirou
Solving the three-dimensional (3D) Bratu equation is highly challenging due to the presence of multiple and sharp solutions. Research on this equation began in the late 1990s, but…
Geodesic learning
Arnab Barua, Haralampos Hatzikirou, Sumiyoshi Abe
Learning is a fundamental characteristic of living systems, enabling them to comprehend their environments and make informed decisions. These decision-making processes are inherent…
Individual particle persistence antagonizes global ordering in populations of nematically-aligning self-propelled particles
Josué Manik Nava-Sedeño, Rainer Klages, Haralampos Hatzikirou +1
The transition from individual to collective motion plays a significant role in many biological processes. While the implications of different types of particle-particle interactio…