6 citations · 7 across the 6 of their papers we have counts for
7 papers
A Unified Model for Blood and Lymph Flow with Coupled Nonsmooth Biochemical Dynamics
Bogna Jaszczak-Dyka, Łukasz Płociniczak
We present a unified mathematical framework for modeling blood and lymph flow in biological vessels, with a particular focus on lymph transport through lymphangions. Starting from…
Parareal in time and spectral in space fast L1 quasilinear subdiffusion solver
Josefa Caballero, Łukasz Płociniczak, Kishin Sadarangani
We consider the initial-boundary value problem for a quasilinear time-fractional diffusion equation, and develop a fully discrete solver combining the parareal algorithm in time wi…
Generalized capillary-rise models: existence and fast solvers in integral Hölder spaces
Josefa Caballero, Łukasz Płociniczak, Kishin Sadarangani
We study a class of nonlinear Volterra integral equations that generalize the classical capillary rise models, allowing for nonsmooth kernels and nonlinearities. To accommodate suc…
Functional equation arising in behavioral sciences: solvability and collocation scheme in Hölder spaces
Josefa Caballero, Hanna Okrasińska-Płociniczak, Łukasz Płociniczak +1
We consider a generalization of a functional equation that models the learning process in various animal species. The equation can be considered nonlocal, as it is built with a con…
Collocation method for a functional equation arising in behavioral sciences
Josefa Caballero, Hanna Okrasińska-Płociniczak, Łukasz Płociniczak +1
We consider a nonlocal functional equation that is a generalization of the mathematical model used in behavioral sciences. The equation is built upon an operator that introduces a…
Existence and uniqueness of solutions in the Lipschitz space of a functional equation and its application to the behavior of the paradise fish
Josefa Caballero, Łukasz Płociniczak, Kishin Sadarangani
In this paper, we examine the solvability of a functional equation in a Lipschitz space. As an application, we use our result to determine the existence and uniqueness of solutions…
Optimal strategy for trail running with nutrition and fatigue factors
Bogna Jaszczak, Łukasz Płociniczak
This paper presents an extension of Keller's classical model to address the dynamics of long-distance trail running, a sport characterized by varying terrains, changing elevations,…