Ma.Me.Mo.Bi.A

Revolutionizing healthcare with advanced mathematics in imaging, segmentation, and disease diagnosis

Dive In

Mathematical Models

From deciphering biological systems to enhancing medical imaging, our models, rooted in mathematical precision.

Biomedical Applications

The versatility of mathematical models in decoding biological mysteries, advancing medical imaging, and revolutionizing epidemiological insights.

About Us

Welcome to 'Mathematical Methods and Models for Biomedical Applications'

Project Overview

Project financed by National Recovery and Resilience Plan PNRR-III-C9-2022-I8
”Mathematical Methods and Models for Biomedical Applications” (Ma.Me.Mo.Bi.A)
(Project code: 125/15.11.2022, Contract no. 760076/23.05.2023)

Main Objectives

The aim of the present project Ma.Me.Mo.Bi.A. is to develop a series of mathematical models that can be used in biomedical applications. Developing a theoretical foundation based on Mathematical Analysis, Fourier Analysis, and Approximation Theory, the project will provide three different and equally important applications in Digital Image Processing in connection with some real-world models in the biomedical field.

The project will develop a procedure for the diagnosis

Diagnosis of vascular pathologies (using Computer Tomography images)

Diagnosis of retinal pathologies (involving Optical Coherence Tomography images)

Evaluation of biomarkers in Alzheimer disease (based on brain Magnetic Resonance images)

by applying a new de-noising and resizing algorithm to existing medical imaging, yielding results that are quite similar in quality to the imaging conducted with the use of contrast medium.

Results & Publications

[1] Ana-Maria Acu, Ioan Rasa, Ancuta Emilia Steopoaie, Bernstein-Kantorovich operators, approximation and shape preserving properties, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 118, 107 (2024). Link

[2] A.M. Acu, Ioan Rasa, G. Motronea, Bernstein polynomials and dual functionals, Bulletin of the Transilvania University of Brasov, Series III: Mathematics and Computer Science, 65(2), 2023. Link

[3] Gabriela Motronea, Alin Pepenar, Variance and information potential of some random variables, General Mathematics, Vol. 31, No. 2 (2023), 80–84. Link

[4] S.V. Pasca, A. Seserman, A. Steopoaie, Iterates of positive linear operators and linear systems of equations, Dolomites Research Notes on Approximation, 17(2), 52-58, (2024). Link

[5] Bodin, Arnaud, Evelia Rosa García Barroso, Patrick Popescu-Pampu, Miruna-Stefana Sorea, Combinatorial study of morsifications of real univariate singularities, Mathematische Nachrichten, 2024. Link

[6] L. Rinelli, A. Travaglini, N. Vescera, G. Vinti: An approximation-based approach versus an AI one for the study of CT images of abdominal aorta aneurysms, submitted to ArXiv– arXiv. 2406.01764 and ready to be submitted in a scientific journal (2024). Link

[7] D. Costarelli, M. Piconi, G. Vinti: On the regularization by Durrmeyer-sampling type operators in Lp-spaces via a distributional approach, accepted in Journal of Fourier Analysis and Application (2024). Link

Conference Talks

[1] First Annual FORTHEM Conference FORTHEM - For the Future (Section: Natural Sciences – Be innovative) - Event Link

Miruna-Stefana Sorea, How to measure the non-convexity
Georgian-Cristian Chivu, Generative Image Algorithms based on AI approach with comparative results
Ilina Mihai, Otsu's Method for Image Segmentation

[2] Approximation: Theory, Methods and Applications, Lecce, Italy, June 11-14, 2024 - Event Link

Ana-Maria Acu, Ioan Rasa, Positive linear operators, convexity and approximation-online

[3] 60th International Symposium on Functional Equations June 9-15, 2024, Kościelisko, Poland - Event Link

Ana-Maria Acu, Ioan Rasa, Functional inequalities and convex stochastic orders (II)-onsite

[4] International Conference on Approximation Theory and its Applications, 17-20 Iulie, 2024, Sibiu, Romania - Event Link

Ioan Rasa, Cauchy problems and positive linear operators (prelegere invitata)
Alin Pepenar, Rates of convergence for iterates of positive linear operators
Sergiu-Vlad Pașca, The eigenstructure of certain operators
Georgian-Cristian Chivu, Introduction into Image Segmentation Techniques based on AI approach, exploring advanced Techniques and Architectures
Miruna-Ștefana Sorea, Morsifications of univariate real singularities – a combinatorial study

[5] Approximation Theory and Special Functions – ATSF Conference – 8th Series, 4-7 septembrie 2024, Ankara, Turcia - Event Link

Ana Maria Acu, Multivariate Aldaz-Kounchev-Render Operators and Their Approximation Properties (prelegere invitata)
Ioan Rasa, Positive Linear Operators and Convex Stochastic Orders
Augusta Ratiu, Some Bounds for Several Statistical Indicators

News

We have great pleasure to invite you to attend the “International Conference on Approximation Theory and its Applications” (ICATA 2024), which will take place on July 17-20, 2024 in Sibiu, Romania. Please find the on-line registration form and all further necessary details on the web-site https://conferences.ulbsibiu.ro/icata/

Ma.Me.Mo.Bi.A

Mathematical Models

Biomedical Applications

About Us

Project Overview

Main Objectives

Vascular Pathologies

Retinal Pathologies

Alzheimer Disease Biomarkers

Team

Gianluca Vinti

Ana Maria Acu

Daniela Trocan

Florin Sofonea

Ioan Rașa

Augusta Rațiu

Miruna-Ştefana Sorea

Cristina Cismaș (Brumar)

Pepenar Alin

Sergiu-Vlad Paşca

Arianna Travaglini

Mihai Ilina

Chivu Georgian-Cristian

Ovio Olaru

Martin Anca Simina

Results & Publications

Conference Talks

News

All Works

Preparing Content Title

Preparing Content Title

Preparing Content Title

Preparing Content Title

Preparing Content Title

Preparing Content Title

Short Pages

Contact Us