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A short overview of solitons and applications
Partial Differential Equations in Applied Mathematics, 2021 Solitons are solitary waves that maintain their shape and speed while propagating with constant velocity. They are ubiquitous in nature and have many applications in nonlinear dynamics. In this project, we give a brief historical overview of solitons. We
Solomon Manukure, Timesha Booker
doaj
Symmetry Analysis of Semi-Linear Partial Differential Equations and Forward Backward Stochastic Differential Equations [PDF]
arXivWe examine the Lie symmetries of a semi-linear partial differential equations and their connections to the analogous symmetries of the forward-backward stochastic differential equations (FBSDEs), established through the generalized Feynman-Kac formula.
arxiv
Reductions and exact solutions of a cubic Schrodinger Partial Differential Equation [PDF]
arXiv, 2019 Lie symmetry analysis is an established method for generating symmetries of differential equations. We apply this method together the generalized fundamental theorem of double reduction. In particular, Noether symmetries and some associated conservation laws are constructed in our investigation to find exact solutions of higher order partial ...
arxiv
Molecular Oncology, EarlyView.Using mass cytometry, we analyzed serial blood samples from patients with relapsed epithelial ovarian cancer (EOC) treated with oleclumab–durvalumab combination immunotherapy in the NSGO‐OV‐UMB1/ENGOT‐OV30 trial. Our analysis identified potential predictive, monitoring, and response biomarkers detectable through liquid biopsy. These findings facilitate
Luka Tandaric +11 more
wiley +1 more source
Solving Higher Orders Linear Complex Partial Differential Equations via Two Dimensional Differential Transform Method [PDF]
مجلة جامعة الانبار للعلوم الصرفةComplex partial differential equation (CPDEs( appeared around the year 1900. D. Pompeiu was a famous mathematician who left a large impact in this field through introducing the Pompeiu integral operator, which forms a basis in the subject CDEs.
Amal Alhassan +2 more
doaj +1 more source
On Coefficient Problems of Solutions of Partial Differential Equations of the Fourth Order [PDF]
, 1957 Erwin Kreyszig
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Chaos in Partial Differential Equations
, 2002 This is a survey on the recent theory of chaos in partial differential equations.
openaire +3 more sources
Stochastic variation in the FOXM1 transcription program mediates replication stress tolerance
Molecular Oncology, EarlyView.Cellular heterogeneity is a major cause of drug resistance in cancer. Segeren et al. used single‐cell transcriptomics to investigate gene expression events that correlate with sensitivity to the DNA‐damaging drugs gemcitabine and prexasertib. They show that dampened expression of transcription factor FOXM1 and its target genes protected cells against ...
Hendrika A. Segeren +4 more
wiley +1 more source
On properties of solutions of boundary problems of a parabolic partial differential equations [PDF]
, 1958 Rudolf Výborný
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Molecular Oncology, EarlyView.The study evaluated the function and therapeutic implications of PRAME in basal cell carcinoma (BCC) and squamous cell carcinoma (SCC). The findings demonstrate that PRAME impairs keratinocyte differentiation pathways. Furthermore, PRAME impairs anticancer response to retinoid compounds in BCC and SCC cells.
Brandon Ramchatesingh +6 more
wiley +1 more source