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The importation and subsequent establishment of novel pathogenic strains in a population is subject to a large degree of uncertainty due to the stochastic nature of the disease dynamics. Mathematical models need to take this stochasticity…

Populations and Evolution · Quantitative Biology 2024-12-02 Jacob Curran-Sebastian , Frederik Mølkjær Andersen , Samir Bhatt

Bacteria often develop distinct phenotypes to adapt to environmental stress. In particular, they can produce biofilms, dense communities of bacteria that live in a complex extracellular matrix. Bacterial biofilms provide a safe haven from…

Quantitative Methods · Quantitative Biology 2025-08-29 Stephen Williams , Daravuth Cheam , Michele K. Nishiguchi , Suzanne S. Sindi , Shilpa Khatri , Erica M. Rutter

In cell culture bioprocessing, real-time batch process monitoring (BPM) refers to the continuous tracking and analysis of key process variables such as viable cell density, nutrient levels, metabolite concentrations, and product titer…

Quantitative Methods · Quantitative Biology 2025-12-04 Johnny Peng , Thanh Tung Khuat , Ellen Otte , Katarzyna Musial , Bogdan Gabrys

The global population increase leads to a high food demand, and to reach this target products such as pesticides are needed to protect the crops. Research is focusing on the development of new products that can be less harmful to the…

Quantitative Methods · Quantitative Biology 2025-02-13 Enrico Sangoi , Federica Cattani , Faheem Padia , Federico Galvanin

A challenge that machine learning practitioners in the industry face is the task of selecting the best model to deploy in production. As a model is often an intermediate component of a production system, online controlled experiments such…

Machine Learning · Statistics 2021-05-31 Zhenwen Dai , Praveen Chandar , Ghazal Fazelnia , Ben Carterette , Mounia Lalmas-Roelleke

We determine forest lease value and optimal harvesting strategies under model parameter uncertainty within stochastic bio-economic models that account for catastrophe risk. Catastrophic events are modeled as a Poisson point process, with a…

Mathematical Finance · Quantitative Finance 2025-02-11 Ankush Agarwal , Christian Ewald , Yihan Zou

Development and optimization of biopharmaceutical production processes with cell cultures is cost- and time-consuming and often performed rather empirically. Efficient optimization of multiple-objectives like process time, viable cell…

Machine Learning · Computer Science 2022-05-09 Tanja Hernández Rodríguez , Anton Sekulic , Markus Lange-Hegermann , Björn Frahm

In competitive industries, a reliable yield forecasting is a prime factor to accurately determine the production costs and therefore ensure profitability. Indeed, quantifying the risks long before the effective manufacturing process enables…

Statistics Theory · Mathematics 2013-12-06 Julie Oger , Emmanuel Lesigne , Philippe Leduc

The aim of this study was to investigate the difference in output, when training a model in three different scenarios: a large clinical delineated data set (with 700/78 patients for training/testing, from the Danish Breast Cancer Group…

Medical Physics · Physics 2024-04-05 ES Buhl , E Maae , LW Matthiessen , MH Nielsen , M Maraldo , M Møller , S Elleberg , SAJ Al-Rawi , BV Offersen , SS Korreman

Many applications of machine learning methods involve an iterative protocol in which data are collected, a model is trained, and then outputs of that model are used to choose what data to consider next. For example, one data-driven approach…

Machine Learning · Computer Science 2025-04-07 Clara Fannjiang , Stephen Bates , Anastasios N. Angelopoulos , Jennifer Listgarten , Michael I. Jordan

We introduce a stochastic model describing aggregation of misfolded proteins and degradation by the protein quality control system in a single cell. In analogy with existing literature, aggregates can grow, nucleate and fragment…

Cell Behavior · Quantitative Biology 2012-07-06 Simone Pigolotti , Ludvig Lizana , Daniel Otzen , Kim Sneppen

A method based on Bayesian neural networks and genetic algorithm is proposed to control the fermentation process. The relationship between input and output variables is modelled using Bayesian neural network that is trained using hybrid…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Tshilidzi Marwala

Constraint based methods, such as the Flux Balance Analysis, are widely used to model cellular growth processes without relying on extensive information on the regulatory features. The regulation is instead substituted by an optimization…

Optimization and Control · Mathematics 2017-06-14 Henning Lindhorst , Sergio Lucia , Rolf Findeisen , Steffen Waldherr

This paper addresses the challenge of model uncertainty in quantitative finance, where decisions in portfolio allocation, derivative pricing, and risk management rely on estimating stochastic models from limited data. In practice, the…

Computational Finance · Quantitative Finance 2025-06-10 Hans Buehler , Blanka Horvath , Yannick Limmer , Thorsten Schmidt

In this work, we study a protein synthesis degradation process by defining a general mathematical model. Using generating function technique we present a method that allows exact calculation of joint probability distribution of protein…

Quantitative Methods · Quantitative Biology 2013-11-11 Diana David-Rus

Single-cell lineage tracking strategies enabled by recent experimental technologies have produced significant insights into cell fate decisions, but lack the quantitative framework necessary for rigorous statistical analysis of mechanistic…

Biotechnology offers many opportunities for the sustainable manufacturing of valuable products. The toolbox to optimize bioprocesses includes \textit{extracellular} process elements such as the bioreactor design and mode of operation,…

Systems and Control · Electrical Eng. & Systems 2023-02-07 Sebastián Espinel-Ríos , Bruno Morabito , Johannes Pohlodek , Katja Bettenbrock , Steffen Klamt , Rolf Findeisen

A chemostat enables long-term, continuous, exponential-phase growth in an environment limited as prescribed by the researcher. It is thus a potent tool for laboratory evolution - selecting for strains with desired phenotypes. However,…

Populations and Evolution · Quantitative Biology 2018-06-04 Aryeh Wides , Ron Milo

Optimal designs minimize the number of experimental runs (samples) needed to accurately estimate model parameters, resulting in algorithms that, for instance, efficiently minimize parameter estimate variance. Governed by knowledge of past…

Methodology · Statistics 2023-02-03 Nicholas W. Barendregt , Emily G. Webb , Zachary P. Kilpatrick

Bayesian models of behavior have provided computational level explanations in a range of psychophysical tasks. One fundamental experimental paradigm is the production or reproduction task, in which subjects are instructed to generate an…

Machine Learning · Computer Science 2022-01-03 Nils Neupärtl , Constantin A. Rothkopf