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Wednesday, December 3, 2014

Stochastic models in medicine and life science (requirement for 2nd year, talk)


Whether we investigate the growth and interactions of an entire population, the evolution of DNA sequences, the inheritance of traits, or the spread of disease, biological systems are marked by change and adaptation [1]. It is often said that biology is going to be the science of the 21st  century as physics was the science of the 20th [3,4]. Computers, and computer science ideas and techniques, are of course an important part of all these scientific and engineering activities [4].
Indeed this represents the challenges in biological modeling compared to traditional branches such as physics. In general the adaptations and changes are much faster than physical systems, what makes the modeling and analysis in most of the cases a formidable task.

When I first read a biology textbook, it was like reading a thriller. Every page brought a new shock. As a physicist, I was used to studying matter that obeys precise mathematical laws. But cells are matter that dances. Structures spontaneously assemble, perform elaborate biochemical functions, and vanish effortlessly when their work is done. Molecules encode and process information virtually without errors, despite the fact that they are under strong thermal noise and embedded in a dense molecular soup. The main message is that biological systems contain an inherent simplicity  [3] .

In the pharmaceutical industry, the incorporation of the disciplines of pharmacokinetics, pharmacodynamics, and drug metabolism (PK/PD/DM) into various drug development processes has been recognized to be extremely important for appropriate compound selection and optimization [2].

Conerstones of my research

1. Introduction
The first year was dedicated to: 1) achieving the minimal requirements in terms of credits; 2) gathering the maximum amount of knowledge. The academic activities was divided into mathematical and biomedical; and master-level disciplines, summer schools, readings, and short courses. The activities was either suggested by the advisors, prof. Palumbo and prof. Manes, or chosen by me. Some of the disciplines was followed on the hope to increase my theoretical background.
2. Master-level disciplines
  • Controllo Ottimo. Prof E De Santis (UAQ): in theory important for optimum regimen design in medical treatments. As result, a talk in the IASI-CNR in June and a paper in the Symposium SIMPEP 2014.
  • Farmacologia Speciale. Prof. R, Maggio (UAQ): this theory supposes to support me next year, drug regimen design. As result, a talk given in the department of Medicine (UAQ) and an awarded paper in SIMPEP 2014, a journal extension was proposed by SIMPEP and a book proposal was submitted;
3. Summer Schools
  • Mathematical Models and Methods for Living Systems: it was a one-intensive week of studies, see http://web.math.unifi.it/users/cime/. Presentation of talk: On the mathematical modeling in gene expression estimation: an initial discussion on PBM and BM;
  • Systems Biology and Systems Medicine: precision Biotechnology and Therapies: this was a one-intensive week of studies and computer simulations, tutorial and lessons. See: http://ucbf.lakecomoschool.org/. Presentation of poster: On the mathematical modeling in gene expression estimation: an initial discussion on PBM and BM;
4. Short courses
  • Software Architecture: theory of how to design better software;
  • Convergence theory for observers: Necessary, and Sufficient conditions: theory on the design of state reconstruction systems;
  • Others: other courses were followed in the hope to find insights and methodologies.
5. Main references used
  • S Lenhart, J T Workman, Optimal Control Applied to biological models, Chapman & Hall/ CRC, Mathematical and Computational Biology Series, 2007;
  • Sara E Rosenbaum, basic pharmacokinetics and pharmacodynamics: an integrated textbook and computer simulations, John Wiley & Sons, 2011.
6. Most significant publications
  • JG Pires, R Maggio, C Manes, P Palumbo, On the importance of pharmacokinetics and pharmacodynamics in engineering sciences as an inter- and multidisciplinary field: an introductory analysis. SIMPEP 2014, Bauru (São Paulo, Brasil), Online: http://www.simpep.feb.unesp.br/anais_simpep.php?e=9
  • JG Pires, C Manes, P Palumbo, On the importance of optimal control theory in engineering sciences as a complementary and supplementary methodology to Operations Research: a case-study analysis. SIMPEP 2014, Bauru (São Paulo, Brasil), Online: http://www.simpep.feb.unesp.br/anais_simpep.php?e=9 

1. Introduction
The year of 2015, second year of the PhD pathway of the abovementioned student, was agreed to be dedicated to researches on the IASI-CNR (Gemelli Ospedale)[1]. The researches will consist of reading literatures and testing models published or propose new ones. The main topics is what we have called "The Big Glucose Model," which boils down to an attempt to enhance already existing mathematical and computational models for studying glucose control, in general the models are based just on insulin, the idea is to gather several different models based on other hormones or bio- molecules considered significant on the alteration of glucose levels in the human blood.
2. Courses to enroll
  • Identificazione dei Modelli e Analisi dei Dati: this is based on state space models;
  • Complementi di Automatica: this is based on kalman filter models and parameter stimation;
3. References
The references were not defined yet, it will be taken from an archive offered by De Gaetano, from the IASI-CNR Gemelli Ospedale.
A starting point could be:
  • P. Palumbo, S. Ditlevsen, A. Bertuzzi, A. De Gaetano, Mathematical modeling of the glucose-insulin system: A review, Mathematical Bioscience, 2013;
  • Ludovic J. Chassin, Malgorzata E. Wilinska, Roman Hovorka. Evaluation of glucose controllers in virtual environment: methodology and sample application, Artificial Intelligence in Medicine (2004) 32, 171—181
4. Final Remarks
Unfortunately a precise agenda for next year is complex, once it depends on my response to the project proposed by Andrea De Gaetano and the success on the research. In the first year I have finished all the prerequisites - two master-level disciplines and 18 credits of ad hoc activities - for avoiding conflicts with this part of my academic cycle.
5. Extra
One paper partially accepted: Biologia Sistêmica: um novo paradigma para as ciências biológicas e exatas “ou” Biologia Sistêmica e Inteligência Computacional. One paper invited to a journal, and three textbooks proposed to publish under invitation.



[1] CNR-IASI - Laboratorio di Biomatematica, UCSC – Largo A. Gemelli 8, 00168, Roma, Italy, Ph: +39 06 30155389       Fax: +39 06 3057845




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