Advanced Science, EarlyView.Based on a well‐established in vitro directed differentiation model and an integrated analysis of high‐density cell lineage trees (CLTs) and single‐cell transcriptomes, it is demonstrated that many subclones are formed by sub‐CLTs resembling each other in terms of both cell type compositions and topological structures.
Xiaoyu Zhang +14 more
wiley +1 more source
Some Aspects of Analysis and-Probability, by Irving Kaplansky, Marshall Hall Jr., Edwin Hewitt and Robert Fortet. Surveys in Applied Mathematics IV. John Wiley and Sons, New York, 1958, 243 pages. $9.00. [PDF]
, 1960 H. Schwerdtfeger
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Adeles in Mathematical Physics [PDF]
arXiv, 2007 Application of adeles in modern mathematical physics is briefly reviewed. In particular, some adelic products are presented.
arxiv
Epileptiform Activity and Seizure Risk Follow Long‐Term Non‐Linear Attractor Dynamics
Advanced Science, EarlyView.This study leverages the HAVOK framework to model long‐term, nonlinear attractor dynamics underlying epileptiform activity and seizure risk in epilepsy patients. By identifying key forcing mechanisms driving chaotic transitions, the findings improve seizure risk forecasting over multi‐day cycles and provide a pathway for personalized, data‐driven ...
Richard E Rosch +4 more
wiley +1 more source
An Introduction to Probability and Mathematical Statistics, by Howard G. Tucker. Academic Press, New York, 1962. 228 pages. $5.75. [PDF]
, 1964 V. Seshadri
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Lattice Multiverse Models [PDF]
arXiv, 2010 Will the cosmological multiverse, when described mathematically, have easily stated properties that are impossible to prove or disprove using mathematical physics? We explore this question by constructing lattice multiverses which exhibit such behavior even though they are much simpler mathematically than any likely cosmological multiverse.
arxiv
Advanced Science, EarlyView.Omicsformer, a deep learning model, integrates multi‐omics and routine blood data to accurately predict risks for nine chronic diseases, including cancer and cardiovascular conditions. Validated using large scale clinical data, it reveals early risk trajectories, advancing personalized medicine and offering a cost‐effective, community‐based solution ...
Zhibin Dong +20 more
wiley +1 more source
Mathematical Foundations of the Calculus of Probability, by J. Neveu. Translated by Amiel Feinstein, foreword by R. Fortet. Holden-Day, Inc., San Francisco, 1965. xiii + 223 pages. $10.45. [PDF]
, 1967 Miklós Csörgő
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Advanced Science, EarlyView.Utilizing a stereotaxic injection mouse model and a novel mathematical approach, this study uncovers key subnetworks that drive pathological α‐synuclein (α‐Syn) progression in Parkinson's disease (PD). Remarkably, just 2% of the strongest connections in the connectome are sufficient to predict its spread.
Yuanxi Li +16 more
wiley +1 more source
De Novo Reconstruction of 3D Human Facial Images from DNA Sequence
Advanced Science, EarlyView.This study introduces Difface, a novel deep‐learning model for reconstructing 3D facial images only from DNA data. By integrating transformer networks, spiral convolutions, and a diffusion model, Difface directly aligns high‐dimensional SNP data with 3D facial structures.
Mingqi Jiao +11 more
wiley +1 more source