Celia Schacht

Mathematics - Grads & Temps

Works (5)

Updated: July 5th, 2023 15:08

2022 journal article

The Case for the Irreducibility of Geometry to Algebra(dagger)

PHILOSOPHIA MATHEMATICA, 30(1), 1–31.

By: V. Pambuccian * & C. Schacht n

UN Sustainable Development Goal Categories
4. Quality Education (Web of Science)
Source: Web Of Science
Added: March 7, 2022

2021 journal article

The Ubiquitous Axiom

RESULTS IN MATHEMATICS, 76(3).

By: V. Pambuccian * & C. Schacht n

author keywords: Lotschnittaxiom; Euclidean parallel postulate; Aristotle's axiom; plane absolute geometry; incidence geometry
UN Sustainable Development Goal Categories
4. Quality Education (Web of Science)
Source: Web Of Science
Added: June 10, 2021

2020 journal article

Parameter estimation using aggregate data

APPLIED MATHEMATICS LETTERS, 100.

By: H. Banks*, A. Meade*, C. Schacht*, J. Catenacci*, W. Thompson*, D. Abate-Daga *, H. Enderling *

author keywords: Uncertainty quantification; Parameter estimation; CAR T cancer therapy
TL;DR: These issues are discussed in the context of a mathematical model to determine T-cell behavior with cancer chimeric antigen receptor (CAR) therapies where during the collection of data cancerous mice are sacrificed at each measurement time. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: November 25, 2019

2019 journal article

Estimation of probability distributions of parameters using aggregate population data: analysis of a CAR T-cell cancer model

MATHEMATICAL BIOSCIENCES AND ENGINEERING, 16(6), 7299–7326.

By: C. Schacht n, A. Meade n, H. Banks n, H. Enderling * & D. Abate-Daga *

author keywords: aggregate data; CAR T-cell therapy; cancer model; inverse problems; design of experiments
MeSH headings : Algorithms; Animals; Computer Simulation; Humans; Immunotherapy, Adoptive; Mice; Models, Theoretical; Neoplasm Transplantation; Neoplasms, Experimental / therapy; Population Dynamics; Probability; Receptors, Chimeric Antigen / chemistry; Reproducibility of Results; T-Lymphocytes / cytology
TL;DR: First elementary computations on the question how much data is needed for successful estimation of probability distributions are carried out on a class of CAR T-call cancer models in mice. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: October 14, 2019

2019 journal article

Lippmann's axiom and Lebesgue's axiom are equivalent to the Lotschnittaxiom

BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY, 60(4), 733–748.

By: V. Pambuccian * & C. Schacht n

author keywords: Absolute geometry; Lotschnittaxiom; Hyperbolic parallel postulate
UN Sustainable Development Goal Categories
4. Quality Education (Web of Science)
Source: Web Of Science
Added: December 30, 2019

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