29 papers · ranked by Valyu relevance
Pablo Monfort-Lanzas, Katja Rungger, Leonie Madersbacher, Hubert Hackl
'Hubert Hackl'] Understanding the responses of biological systems to various perturbations, such as genetic, chemical, or environmental challenges, is essential for reconstructing causal network models. Emerging single-cell technologies have become instrumental in elucidating cell states and phenotypes and they have…
Mirela Domijan, Paul E. Brown, Boris V. Shulgin, David A. Rand
Background Over the last decade sensitivity analysis techniques have been shown to be very useful to analyse complex and high dimensional Systems Biology models. However, many of the currently available toolboxes have either used parameter sampling, been focused on a restricted set of model observables of interest…
Claudia Feng, Elin Madli Peets, Yan Zhou, Luca Crepaldi + 18 more
Population-scale resources of genetic, molecular, and cellular information form the basis for understanding human genomes, charting the heritable basis of disease, and tracing the effects of mutations. Pooled perturbation assays applied to cellular models, probing the effect of many perturbations coupled with an…
Yinyin Wang, Yihang Sui, Jiaqi Yao, Jiang Hong + 4 more
Traditional Chinese medicine (TCM) is a valuable drug discovery resource known for its therapeutic effects. However, the mechanisms of action (MOAs) of TCM prescriptions are often unknown due to limited target information and the complexity of multiple ingredients and targets. This study introduces TCM-CMap (Connecting…
V. G. Kleine, A. Hanifi, D. S. Henningson
The use of the complex velocity potential and the complex velocity is widely disseminated in the study of two-dimensional incompressible potential flows. The advantages of working with complex analytical functions made this representation of the flow ubiquitous in the field of theoretical aerodynamics. However, this…
Martin Breyton, Jan Fousek, Giovanni Rabuffo, Pierpaolo Sorrentino + 4 more
Signatures of consciousness are found in spectral and temporal properties of neuronal activity. Among these, spatiotemporal complexity after a perturbation has recently emerged as a robust metric to infer levels of consciousness. Perturbation paradigms remain, however, difficult to perform routinely. To discover…
Jian Liu, Kexin Liu, Shutang Liu, Jun Ma
In this paper, adaptive control is extended from real space to complex space, resulting in a new control scheme for a class of n-dimensional time-dependent strict-feedback complex-variable chaotic (hyperchaotic) systems (CVCSs) in the presence of uncertain complex parameters and perturbations, which has not been…
P. A. Patsis, Thanos Manos, Leonardo Chaves-Velasquez, Ch. Skokos + 1 more
'I. Puerari'] We investigate the evolution of phase space close to complex unstable periodic orbits in two galactic type potentials. They represent characteristic morphological types of disc galaxies, namely barred and normal (non-barred) spiral galaxies. These potentials are known for providing building blocks to…
Authors not listed
A new approach that allows for the calculation of interaction-induced properties exclusively from the properties of monomers is presented. The method is derived in the spirit of the symmetry-adapted perturbation theory (SAPT). The interaction-induced property is presented in the first order of the molecular interaction…
Ahmet Altun, Isaac Francois Leach, Frank Neese, Giovanni Bistoni
We introduce the fragment-pairwise Local Energy Decomposition (fp-LED) scheme for precise quantification of individual interactions contributing to the binding energy of arbitrary chemical entities, such as protein-ligand binding energies, lattice energies of molecular crystals, or association energies of large…
Jörn Dietrich, Dirk Lebiedz
Many real-analytic flows, e.g. in chemical kinetics, share a multiple time scale spectral structure. The trajectories of the corresponding dynamical systems are observed to bundle near so-called slow invariant manifolds (SIMs), which are usually addressed in a singular perturbation context. This work exploits the…
Zikai Xu, Khem Raj Ghusinga, Abhyudai Singh
Several biological functions are carried out via complexes that are formed via multimerization of either a single species (homomers) or multiple species (heteromers). Given functional relevance of these complexes, it is arguably desired to maintain their level at a set point and minimize fluctuations around it. Here we…
Yoshio Nishimoto
Complete active space second-order perturbation theory (CASPT2) is useful for accurately predicting properties of complex electronic structures, but it is well known that it systematically underestimates excitation energies. The underestimation can be corrected using the ionization potential--electron affinity (IPEA)…
Alvaro H. Salas S, Gilder Cieza Altamirano, Lorenzo J. Martínez H
Future scientific and technological evolution in many areas of applied mathematics and modern physics will necessarily depend on dealing with complex systems. Such systems are complex in both their composition and behavior, namely, dealing with complex dynamical systems using different types of Duffing equations, such…
Marina Gonchenko, С. В. Гонченко, Klim Safonov
For area-preserving H´enon-like maps and their compositions, we consider smooth perturbations that keep the reversibility of the initial maps but destroy their conservativity. For constructing such perturbations, we use two methods, the original method based on reversible properties of maps written in the so-called…
Authors not listed
Second-order Møller-Plesset perturbation theory is well-known as a computationally inexpensive approach to the elec- tron correlation problem that is size-consistent, but fails to be regular. On the other hand, the less well-known many- body version of Brillouin-Wigner (BW) perturbation theory has the reverse…
Henrik T. Sykora, Sandor Beregi
Noise limits the information that can be experimentally extracted from dynamical systems. In this study, we review the Control-based Continuation (CBC) approach, which is commonly used for experimental characterisation of nonlinear systems with coexisting stable and unstable steady states. The CBC technique, however…
Justin Eilertsen, Wylie Stroberg, Santiago Schnell
A theoretical analysis is performed on the nonlinear ordinary differential equations that govern the dynamics of a coupled enzyme catalyzed reaction. The assay consists of a non-observable reaction and an indicator (observable) reaction, where the product of the first reaction is the enzyme for the second. Both…
Elena Kudryavtseva
The goal of the paper is to develop a systematic approach to the study of (perhaps degenerate) singularities of integrable systems and their structural stability. Following N.T. Zung, as the main tool, we use "hidden" system-preserving torus actions near singular orbits. We give sufficient conditions for the existence…
Ding-lan Tang, Benjamin Parrell, Caroline A. Niziolek
Although movement variability is often attributed to unwanted noise in the motor system, recent work has demonstrated that variability may be actively controlled. To date, research on regulation of motor variability has relied on relatively simple, laboratory-specific reaching tasks. It is not clear how these results…
Gabriel Rondón, Paulo Ricardo da Silva
A complex potential is a holomorphic function Ω : C → C whose real and imaginary parts generate a pair of orthogonal foliations, representing the equipotential lines and the streamlines of ˙z = Ω′(z). In this work, we generalize the concept of potential to the broader class of dynamical systems of the form ˙z = f(z)…
Wenkai Pang, Zekang Wu, Yu Xiao, Cuimei Jiang
A novel chaotic system called complex Rikitake system is proposed. Dynamical properties, including symmetry, dissipation, stability of equilibria, Lyapunov exponents and bifurcation, are analyzed on the basis of theoretical analysis and numerical simulation. Further, based on feedback control method, the complex…
Vasil Yordanov
Recent studies have extended the use of the stochastic Hamilton-Jacobi-Bellman (HJB) equation to include complex variables for deriving quantum mechanical equations. However, these studies often assume that it is valid to apply the HJB equation directly to complex numbers, an approach that overlooks the fundamental…
Authors not listed
Molecular systems capable of directing the flow of excitons are key to the development and optimization of optoelectronic materials. The transport of excitons across multiple molecules is governed by the intermolecular electronic coupling network. In this manuscript, we consider the effects of complex-valued…
Bhabani Prasad Mandal, Sushant S. Mahajan
We consider a Parity-time (PT) invariant non-Hermitian quasi-exactly solvable (QES) potential which exhibits PT phase transition. We numerically study this potential in a complex plane classically to demonstrate different quantum effects. The particle with real energy makes closed orbits around one of the periodic…
Muhammad Adnan Shahzad
We present the basic formulation of Hamilton dynamics in complex phase space. We extend the Hamilton's function by including the imaginary part and find out the corresponding Hamilton's canonical equation of motion. Example of simple harmonic motion are considered and the corresponding trajectory are plotted on real…
Fabrizio Pucci, Marianne Rooman
The impact of random fluctuations on the dynamical behavior a complex biological systems is a longstanding issue, whose understanding would shed light on the evolutionary pressure that nature imposes on the intrinsic noise levels and would allow rationally designing synthetic networks with controlled noise. Using the…
Ashraful Islam, Andrew Pell
The chemical shielding tensor for a paramagnetic system has been derived from the macroscopically observed magnetization using the perturbation theory. An approach to calculate the paramagnetic chemical shifts in transition metal systems based on the spin-only magnetic susceptibility directly evaluated from the ab…
Marianne Rooman, Fabrizio Pucci
How random fluctuations impact on biological systems and what is their relationship with complexity and energetic cooperativity are challenging questions that are far from being elucidated. Using the stochastic differential equation formalism, we studied analytically the effect of fluctuations on a series of…