activity
20162024
most citedIdentifiability of linear compartmental tree models and a general formula for input-output equations

7 citations · 7 across the 7 of their papers we have counts for

collaborators

7 papers

math.CO2024

Graph-Based Proofs of Indistinguishability of Linear Compartmental Models

Cashous Bortner, John Gilliana, Dev Patel +1

Given experimental data, one of the main objectives of biological modeling is to construct a model which best represents the real world phenomena. In some cases, there could be mul…

math.ST2024

Maximum likelihood degree of the -stochastic blockmodel

Cashous Bortner, Jennifer Garbett, Elizabeth Gross +3

Log-linear exponential random graph models are a specific class of statistical network models that have a log-linear representation. This class includes many stochastic blockmodel…

math.DS2023

Graph-based sufficient conditions for indistinguishability of linear compartmental models

Cashous Bortner, Nicolette Meshkat

An important problem in biological modeling is choosing the right model. Given experimental data, one is supposed to find the best mathematical representation to describe the real-…

math.DS2021

Structural Identifiability of Series-Parallel LCR Systems

Cashous Bortner, Seth Sullivant

We consider the identifiability problem for the parameters of series-parallel LCR circuit networks. We prove that for networks with only two classes of components (inductor-capacit…

math.DS2021★ 7 cited

Identifiability of linear compartmental tree models and a general formula for input-output equations

Cashous Bortner, Elizabeth Gross, Nicolette Meshkat +2

A foundational question in the theory of linear compartmental models is how to assess whether a model is structurally identifiable -- that is, whether parameter values can be infer…

math.AG2020

Identifiable paths and cycles in linear compartmental models

Cashous Bortner, Nicolette Meshkat

We introduce a class of linear compartmental models called identifiable path/cycle models which have the property that all of the monomial functions of parameters associated to the…

math.CO2016

The set splittability problem

Peter Bernstein, Cashous Bortner, Samuel Coskey +2

The set splittability problem is the following: given a finite collection of finite sets, does there exits a single set that contains exactly half the elements from each set in the…