Results 41 to 50 of about 27,423 (132)
Exact Solutions of Linear Multiple Delay Partial Differential Equations
ABSTRACT This paper develops an analytical framework for linear differential equations with multiple discrete delays. A new function, referred to as the multiple‐delay exponential function, is introduced, and some of its fundamental properties are established.
Stuart‐James M. Burney
wiley +1 more source
Galois differential algebras and categorical discretization of dynamical systems [PDF]
A categorical theory for the discretization of a large class of dynamical systems with variable coefficients is proposed. It is based on the existence of covariant functors between the Rota category of Galois differential algebras and suitable categories
Tempesta, Piergiulio
core
Mathematical Analysis and Simulations of a Cancer Model With Interleukins and Delayed Immunotherapy
ABSTRACT A new system of delayed differential equations for tumor‐immune system interactions is proposed and studied. The system describes the interactions between tumor cells and the immune system at the most aggressive phase of cancer, where tumor cells have developed mechanisms from earlier stages to evade immune responses.
Laid Boudjellal +2 more
wiley +1 more source
Measure‐valued processes for energy markets
Abstract We introduce a framework that allows to employ (non‐negative) measure‐valued processes for energy market modeling, in particular for electricity and gas futures. Interpreting the process' spatial structure as time to maturity, we show how the Heath–Jarrow–Morton approach can be translated to this framework, thus guaranteeing arbitrage free ...
Christa Cuchiero +3 more
wiley +1 more source
Notes on the Mathematical Foundations of Analogue Computation [PDF]
Digital computing has its mathematical foundations in (classical) recursion theory and constructive mathematics. The implicit, working, assumption of those who practice the noble art of analog computing may well be that the mathematical foundations of ...
K. Vela Velupilla
core
ABSTRACT Perpetual futures are contracts without expiration date in which the anchoring of the futures price to the spot price is ensured by periodic funding payments from long to short. We derive explicit expressions for the no‐arbitrage price of various perpetual contracts, including linear, inverse, and quantos futures in both discrete and ...
Damien Ackerer +2 more
wiley +1 more source
ABSTRACT This study develops a novel multivariate stochastic framework for assessing systemic risks, such as climate and nature‐related shocks, within production or financial networks. By embedding a linear stochastic fluid network, interpretable as a generalized vector Ornstein–Uhlenbeck process, into the production network of interdependent ...
Giovanni Amici +3 more
wiley +1 more source
Abstract figure legend In this study, we use human‐induced pluripotent stem cell‐derived cardiomyocyte (hiPSC‐CM) experiments and computational modelling to identify the mechanism of action of drug compounds. In the hiPSC‐CM experiments, optical measurements of cell collections are recorded in the baseline case and after drug exposure.
Karoline Horgmo Jæger +4 more
wiley +1 more source
ABSTRACT Accurate, time‐resolved heat load profiles are essential for realistic district heating simulations, enabling optimized network operation and long‐term transformation planning. In this work, we systematically evaluate modeling approaches for generating such profiles, comparing data‐driven methods (e.g., regression and machine learning) with ...
Johanna Heidrich +2 more
wiley +1 more source
ABSTRACT Counterflow heat exchangers (CHXs) thermally couple consumers and producers to a district heating network (DHN). Fluctuating loads and control actions naturally lead to unsteady operation conditions of the network and its components, posing a challenge for DHN models and CHX parameterizations based on Nusselt correlations that assume steady ...
Marten Klein +5 more
wiley +1 more source

