Piecewise-Linear in Rates (PWLR) Lyapunov functions are introduced for a class of Chemical Reaction Networks (CRNs). In addition to their simple structure, these robust with respect arbitrary monotone reaction rates, which mass-action is special case. The existence such ensures the convergence trajectories towards equilibria, and guarantee asymptotic stability corresponding stoichiometric compatibility class. We give definition functions, prove basic properties, provide algorithms...

This study aims to determine the Influence of financial literacy, lifestyle, and self-control affect consumptive behavior students. The research method used is quantitative through type correlation research. use this sample students Faculty Social Sciences Economics with a total 93 technique Propotional Random Sampling Accidental data collection in by distributing questionnaires. Based on results analysis, partially there positive influence literacy variables t value> table (2.187>...

This work explores the integration of machine learning (ML) and mechanistic models (MM). While ML has demonstrated remarkable success in data-driven modeling across engineering, biology, other scientific fields, MM remain essential for their interpretability capacity to extrapolate beyond observed conditions based on established principles such as chemical kinetics physiological processes. However, can be labor-intensive construct often rely simplifying assumptions that may not fully capture...

Phenotypical variability in the absence of genetic variation often reflects complex energetic landscapes associated with underlying gene regulatory networks (GRNs). In this view, different phenotypes are alternative states nonlinear systems: stable attractors deterministic models or modes stationary distributions stochastic descriptions. We provide theoretical and practical characterizations these landscapes, specifically focusing on Slow Promoter Kinetics (SPK), a time scale relevant when...

Metronomic chemotherapy can drastically enhance immunogenic tumor cell death. However, the responsible mechanisms are still incompletely understood. Here, we develop a mathematical model to elucidate underlying complex interactions between growth, immune system activation, and therapy-mediated Our is conceptually simple, yet it provides surprisingly excellent fit empirical data obtained from GL261 mouse glioma treated with cyclophosphamide on metronomic schedule. The includes terms...

Complex molecular biological processes such as transcription and translation, signal transduction, post-translational modification cascades, metabolic pathways can be described in principle by biochemical reactions that explicitly take into account the sophisticated network of chemical interactions regulating cell life. The ability to deduce possible qualitative behaviors networks from a set is central objective an ongoing challenge field systems biology. Unfortunately, construction complete...

In order to control highly-contagious and prolonged outbreaks, public health authorities intervene institute social distancing, lock-down policies, other Non-Pharmaceutical Interventions (NPIs). Given the high social, educational, psychological, economic costs of NPIs, tune them, alternatively tightening up or relaxing rules, with result that, in effect, a relatively flat infection rate results. For example, during summer 2020 parts United States, daily COVID-19 numbers dropped plateau. This...

Starting in the early 2000s, sophisticated technologies have been developed for rational construction of synthetic genetic networks that implement specified logical functionalities. Despite impressive progress, however, scaling necessary order to achieve greater computational power has hampered by many constraints, including repressor toxicity and lack large sets mutually orthogonal repressors. As a consequence, typical circuit contains no more than roughly seven repressor-based gates per...

Desmoid fibromatosis of the breast (also known as desmoid tumor breast) is a rare entity infrequently encountered by oncologists and surgeons caring for patients with disease. The current body literature highly reliant on case series extrapolations from other sites tumor-related Much remains unclear regarding pathological origins, natural history, response to treatment this condition. Traditional strategies have centered surgical resection, which may result in significantly disfiguring...

We present a framework to transform the problem of finding Lyapunov function for Complex Reaction Network (CRN) in concentration coordinates with arbitrary monotone kinetics into common linear parameter varying system reaction coordinates. This is applied reinterpret previous results on Piecewise Linear Rates function, and introduce Quadratic functions CRNs. The are illustrated by an example.

We introduce the notion of nonoscillation, propose a constructive method for its robust verification, and study application to biological interaction networks (also known as, chemical reaction networks). begin by revisiting Muldowney's result on nonexistence periodic solutions based variational system second additive compound Jacobian nonlinear system. show that exponential stability latter rules out limit cycles, quasi-periodic solutions, broad classes oscillatory behavior. focus then...

Piecewise-Linear in Rates (PWLR) Lyapunov functions are introduced for a class of Complex Reaction Networks (CRNs). In addition to their simple structure, these robust with respect arbitrary monotone reaction rates, which mass-action is special case. The existence such ensures the convergence trajectories towards equilibria, and guarantee asymptotic stability corresponding stoichiometric compatibility class. We give definition functions, present basic properties, provide algorithms...

The emergence of and transitions between distinct phenotypes in isogenic cells can be attributed to the intricate interplay epigenetic marks, external signals, gene regulatory elements. These elements include chromatin remodelers, histone modifiers, transcription factors, RNAs. Mathematical models known as Gene Regulatory Networks (GRNs) are an increasingly important tool unravel workings such complex networks. In models, factors usually proposed act on regions directly involved expression...

Cell-fate networks are traditionally studied within the framework of gene regulatory networks. This paradigm considers only interactions genes through expressed transcription factors and does not incorporate chromatin modification processes. paper introduces a mathematical model that seamlessly combines DNA methylation (DNAm), with goal quantitatively characterizing contribution epigenetic regulation to silencing. The 'Basin Attraction percentage' is introduced as metric quantify silencing...

The authors report all the possible four-impedance settings that yield a valid second-order two-stage Colpitts oscillator. These are obtained following an exhaustive search conducted on two structures of oscillator modelled through two-port network transmission parameters. Only cases with maximum three reactive elements reported. Experimental and Spice verification selected example using both MOS BJT transistors is given.

A big step forward to improve power system monitoring and performance, continued load growth without a corresponding increase in transmission resources has resulted reduced operational margins for many systems worldwide led operation of closer their stability limits exchange new patterns. These issues, as well the on-going trend towards deregulation entire industry on one hand increased need accurate better network other hand, force utilities exposed this pressure demand solutions wide area...

Synthetic biology constructs often rely upon the introduction of "circuit" genes into host cells, in order to express novel proteins and thus endow with a desired behavior. The expression these new "consumes" existing resources cell, such as ATP, RNA polymerase, amino acids, ribosomes. Ribosomal competition among strands mRNA may be described by system nonlinear ODEs called Flow Model (RFM). for between circuit can ameliorated splitting ribosome pool use orthogonal ribosomes, where are...

A dynamical system entrains to a periodic input if its state converges globally an attractor with the same period. In particular, for constant input, unique equilibrium point any initial condition. We consider problem of maximizing weighted average system’s output along attractor. The gain entrainment is benefit achieved by using non-constant relative time average. Such amounts optimal allocation resources in manner. formulate this as control problem, which can be analysed means Pontryagin...

Long-term behaviors of biochemical reaction networks (BRNs) are described by steady states in deterministic models and stationary distributions stochastic models. Unlike states, capturing inherent fluctuations reactions extremely difficult to derive analytically due the curse dimensionality. Here, we develop a method analytic from transforming BRNs have special dynamic property, called complex balancing. Specifically, merge nodes edges match in- out-flows each node. This allows us large...

We consider a nonlinear SISO system that is cascade of scalar “bottleneck entrance” and an arbitrary Hurwitz positive linear system. This entrains, i.e., in response to T-periodic inflow every solution converges unique the study problem maximizing averaged throughput via controlled switching. The objective choose periodic rate with given mean value maximizes outflow compare two strategies: (1) switching between high low (2) using constant equal prescribed value. show no policy can outperform...

A design for genetically encoded counters is proposed via repressor-based circuits. An N-bit counter reads sequences of input pulses and displays the total number pulses, modulo 2N . The based on distributed computation with specialized cell types allocated to specific tasks. This allows scalability bypasses constraints maximal circuit genes per due toxicity or failures resource limitations. starts a single-bit counter. then obtained by interconnecting (using diffusible chemicals) set N...

Three model reduction schemes, namely, balanced truncation, singular perturbation and Hankel norm approximation are used to develop a reduced-order the partial differential system representing dynamic behavior of flat-plate solar collector system. To get tractable finite-dimensional instead infinite-dimensional model, finite difference method is applied PDEs where discretization both time space will result in high-order linear time-invariant discrete state-space model. Then, computed via...

Although Chemical Reaction Networks (CRNs) form a rich class of nonlinear systems that can exhibit wide range behaviours, many common examples are observed to be asymptotically stable regardless the kinetics. This paper presents recently uncovered Graphically Stable (GSNs) which is characterized by existence robust Lyapunov function defined in reaction coordinates. Subject mild conditions, these functions guarantees asymptotic stability network specific Construction methods for provided and...