We present a numerical scheme for solving a parameter estimation problem for a model of low-grade glioma growth. Our goal is to estimate the spatial distribution of tumor concentration, as well as the magnitude of anisotropic tumor diffusion. We use a constrained optimization formulation with a reaction-diffusion model that results in a system of nonlinear partial differential equations. In our formulation, we estimate the parameters using partially observed, noisy tumor concentration data at two different time instances, along with white matter fiber directions derived from diffusion tensor imaging. The optimization problem is solved with a Gauss-Newton reduced space algorithm. We present the formulation and outline the numerical algorithms for solving the resulting equations. We test the method using a synthetic dataset and compute the reconstruction error for different noise levels and detection thresholds for monofocal and multifocal test cases.
Download full-text PDF |
Source |
|---|---|
| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4643433 | PMC |
| http://dx.doi.org/10.1007/s00285-015-0888-x | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Static Posture Instability as a Sensitive Biomarker for Motor Abnormalities in Pre-ataxic Spinocerebellar Ataxia Type 3 Patients.
Mov Disord
January 2025
Department of Neurology, Fujian Institute of Neurology, The First Affiliated Hospital, Fujian Medical University, Fuzhou, China.
Background: Spinocerebellar ataxia type 3 (SCA3) is a neurodegenerative disorder, with balance instability as a feature of the disease. Balance instability often manifests before the onset of obvious ataxic symptoms in patients. However, current clinical scales exhibit limited sensitivity in characterizing changes in pre-ataxic patients.
View Article and Find Full Text PDFReducing Structural Nonidentifiabilities in Upstream Bioprocess Models Using Profile-Likelihood.
Biotechnol Bioeng
January 2025
Boehringer Ingelheim Pharma GmbH & Co.KG, Biopharmaceuticals Germany, Biberach an der Riß, Germany.
Process models are increasingly used to support upstream process development in the biopharmaceutical industry for process optimization, scale-up and to reduce experimental effort. Parametric unstructured models based on biological mechanisms are highly promising, since they do not require large amounts of data. The critical part in the application is the certainty of the parameter estimates, since uncertainty of the parameter estimates propagates to model predictions and can increase the risk associated with those predictions.
View Article and Find Full Text PDFCosts analysis of integrating group interpersonal therapy into HIV care services in Senegal.
Int J Ment Health Syst
January 2025
University of Bordeaux, National Institute for Health and Medical Research (INSERM) UMR 1219, Research Institute for Sustainable Development (IRD) EMR 271, Bordeaux Population Health Centre, Bordeaux, France.
Introduction: Group Interpersonal Therapy (IPT), an evidence-based treatment of depression recommended by the WHO mhGAP Intervention Guide, was implemented through a task-shifting approach in Senegal, as a treatment for depressed people living with HIV (PLWH). Since a description of the resources used and the implementation costs incurred is necessary to inform policymakers better, this study aimed to estimate the costs associated with its implementation.
Methods: Intervention costs were analyzed using an "ingredients-based costing approach" from the provider's perspective.
Integrating univariate and multivariate stability indices for breeding clime-resilient barley cultivars.
BMC Plant Biol
January 2025
Field Crops Research Institute, Agricultural Research Center, Giza, 12619, Egypt.
Studying genetic variability through the phenotypic performance of genotypes is crucial in the breeding program. Therefore, evaluating both yield performance and stability across diverse environments is essential in yield trials to identify high-yield potential and stable cultivars. In this study, we employed 12 univariate and 10 multivariate stability models to analyze how genotype (G), environment (E), and their interaction (G × E) affect the yield performance of 32 barley genotypes across 10 environments.
View Article and Find Full Text PDFIn vitro antitumor effects of methanolic extracts of three Ganoderema mushrooms.
Sci Rep
January 2025
Botany and Microbiology Department, Faculty of Science, Damietta University, New Damietta, 34517, Egypt.
Ganoderma mushrooms have a variety of pharmacological activities and may have antitumor effects. Therefore, the antitumor activity of the methanolic fruiting body extracts of three Ganoderma spp. will be evaluated by estimating cell viability, cell cycle parameters and the mode of cellular death.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!