Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6912-6917, April 2025.ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis +2 more
wiley +1 more source
Alignment of Lived Experience Questions with the Medical Literature in Bipolar Disorder: A Topic Modelling Approach: Adéquation entre les questions relatives à l'expérience vécue et la littérature médicale concernant le trouble bipolaire : Une approche de modélisation de sujets. [PDF]
Can J PsychiatryBadal VD +4 more
europepmc +1 more source
Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar +3 more
wiley +1 more source
Mathematical Analysis and Simulations of a Cancer Model With Interleukins and Delayed Immunotherapy
Mathematical Methods in the Applied Sciences, EarlyView.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
Perturbation of strongly continuous cosine family generators [PDF]
Colloquium Mathematicum, 1981 Travis, C. C., Webb, G. F.
openaire +2 more sources
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley +1 more source
Identifying Negative Biomarkers of CD4 Cytotoxic T Lymphocytes via Granzyme B Exclusion Analysis. [PDF]
Eur J ImmunolWang B +8 more
europepmc +1 more source
Sundman‐Like Transformations and the NRT Nonlinear Schrödinger Equation
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We present a new generalization of the well‐known power‐type Sundman transformation, involving not only powers of the function but also of its derivative, along with its inverse. Our aim is to explore the use of such transformations in the derivation of solutions of ordinary differential equations and in the study of their properties.
P. R. Gordoa +3 more
wiley +1 more source
A Pan-Cancer Transcriptomic Signature for Conserved Molecular Programs Underlying Premalignant-Malignant Progression Across Common Carcinomas. [PDF]
Dent J (Basel)Kazemi KS +7 more
europepmc +1 more source
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose To introduce SelExNet: a self‐supervised framework for two‐dimensional spatially selective excitation that jointly optimizes radiofrequency (RF) pulses and gradient waveforms, and extends to multi‐channel transmission MRI. Methods Building on prior RF‐only and joint RF‐gradient optimization approaches, SelExNet couples neural RF and ...
Yuliang Xiao +5 more
wiley +1 more source