Diffusion Processes and Related Topics in Biology

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Publisher :
ISBN 13 : 9783642930607
Total Pages : 212 pages
Book Rating : 4.9/5 (36 download)

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Book Synopsis Diffusion Processes and Related Topics in Biology by : Luigi M Ricciardi

Download or read book Diffusion Processes and Related Topics in Biology written by Luigi M Ricciardi and published by . This book was released on 1977-05-01 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Diffusion Processes and Related Topics in Biology

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Publisher : Springer Science & Business Media
ISBN 13 : 364293059X
Total Pages : 207 pages
Book Rating : 4.6/5 (429 download)

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Book Synopsis Diffusion Processes and Related Topics in Biology by : Luigi M. Ricciardi

Download or read book Diffusion Processes and Related Topics in Biology written by Luigi M. Ricciardi and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes are based on a one-quarter course given at the Department of Biophysics and Theoretical Biology of the University of Chicago in 1916. The course was directed to graduate students in the Division of Biological Sciences with interests in population biology and neurobiology. Only a slight acquaintance with probability and differential equations is required of the reader. Exercises are interwoven with the text to encourage the reader to play a more active role and thus facilitate his digestion of the material. One aim of these notes is to provide a heuristic approach, using as little mathematics as possible, to certain aspects of the theory of stochastic processes that are being increasingly employed in some of the population biol ogy and neurobiology literature. While the subject may be classical, the nov elty here lies in the approach and point of view, particularly in the applica tions such as the approach to the neuronal firing problem and its related dif fusion approximations. It is a pleasure to thank Professors Richard C. Lewontin and Arnold J.F. Siegert for their interest and support, and Mrs. Angell Pasley for her excellent and careful typing. I . PRELIMINARIES 1. Terminology and Examples Consider an experiment specified by: a) the experiment's outcomes, ~, forming the space S; b) certain subsets of S (called events) and by the probabilities of these events.

Diffusion Processes

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Publisher : Springer Science & Business Media
ISBN 13 : 3642864147
Total Pages : 165 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Diffusion Processes by : Merkel H. Jacobs

Download or read book Diffusion Processes written by Merkel H. Jacobs and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: A basic tenet of present day biophysics is that flows in biological systems are causally related to forces. A large and growing fraction of membrane biophysics is devoted to an exploration of the quantitative relationship between forces and flows in order to understand both the nature of biological membranes and the processes that take place on and in these membranes. This is why the discussion of the nature of diffusion is so important in any formal development of membrane bio physics. This was equally true twenty years ago when tracers were just beginning to be used for the measurement of m.

Mathematical Topics in Population Biology, Morphogenesis and Neurosciences

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Publisher : Springer Science & Business Media
ISBN 13 : 3642933602
Total Pages : 359 pages
Book Rating : 4.6/5 (429 download)

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Book Synopsis Mathematical Topics in Population Biology, Morphogenesis and Neurosciences by : Ei Teramoto

Download or read book Mathematical Topics in Population Biology, Morphogenesis and Neurosciences written by Ei Teramoto and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume represents the edited proceedings of the International Symposium on Mathematical Biology held in Kyoto, November 10-15, 1985. The symposium was or ganized by an international committee whose members are: E. Teramoto, M. Yamaguti, S. Amari, S.A. Levin, H. Matsuda, A. Okubo, L.M. Ricciardi, R. Rosen, and L.A. Segel. The symposium included technical sessions with a total of 11 invited papers, 49 contributed papers and a poster session where 40 papers were displayed. These Proceedings consist of selected papers from this symposium. This symposium was the second Kyoto meeting on mathematical topics in biology. The first was held in conjunction with the Sixth International Biophysics Congress in 1978. Since then this field of science has grown enormously, and the number of scientists in the field has rapidly increased. This is also the case in Japan. About 80 young japanese scientists and graduate students participated this time. . The sessions were divided into 4 ; , categories: 1) Mathematical Ecology and Population Biology, 2) Mathematical Theory of Developmental Biology and Morphogenesis, 3) Theoretical Neurosciences, and 4) Cell Kinetics and Other Topics. In every session, there were stimulating and active discussions among the participants. We are convinced that the symposium was highly successful in transmitting scientific information across disciplines and in establishing fruitful contacts among the participants. We owe this success to the cooperation of all participants.

Computer Aided Systems Theory -- EUROCAST 2011

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Publisher : Springer
ISBN 13 : 3642275494
Total Pages : 661 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Computer Aided Systems Theory -- EUROCAST 2011 by : Roberto Moreno Díaz

Download or read book Computer Aided Systems Theory -- EUROCAST 2011 written by Roberto Moreno Díaz and published by Springer. This book was released on 2012-02-02 with total page 661 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two-volume proceedings, LNCS 6927 and LNCS 6928, constitute the papers presented at the 13th International Conference on Computer Aided Systems Theory, EUROCAST 2011, held in February 2011 in Las Palmas de Gran Canaria, Spain. The total of 160 papers presented were carefully reviewed and selected for inclusion in the books. The contributions are organized in topical sections on concepts and formal tools; software applications; computation and simulation in modelling biological systems; intelligent information processing; heurist problem solving; computer aided systems optimization; model-based system design, simulation, and verification; computer vision and image processing; modelling and control of mechatronic systems; biomimetic software systems; computer-based methods for clinical and academic medicine; modeling and design of complex digital systems; mobile and autonomous transportation systems; traffic behaviour, modelling and optimization; mobile computing platforms and technologies; and engineering systems applications.

Biomathematics and Related Computational Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 9400929757
Total Pages : 719 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Biomathematics and Related Computational Problems by : L.M. Ricciardi

Download or read book Biomathematics and Related Computational Problems written by L.M. Ricciardi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 719 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biomathematics emerged and rapidly grew as an independent discipline in the late sixties as scientists with various backgrounds in the mathematical, biological and physical sciences gathered together to form Departments and Institutes centered around this discipline that many at that time felt should fall between the cracks of legitimate science. For various reasons some of these new institutions vanished in the mid-seventies, particularly in the U. S. , the main reason for their demise being economic. Nevertheless, good biomathematical so that the range research has been ceaselessly carried on by numerous workers worldwide of this activity appears now as truly impressive: from useful and effective mathematical statements about problems that are firmly rooted in the 'wet' reality of biology to deep theoretical investigations on outstanding basic questions. It is also interesting to take note that some ideas and theories set forth by 'paleo-biomathematicians' almost a quarter of century ago are now becoming highly appreciated also by scientists engaged in quite different research fields. For instance, neural nets is the hot topic in computer science these days! Well aware of the growing interest in this relatively new field, years back I organized a small workshop on Biomathematics: Current Status and Future Perspectives which was held at the University of Salerno during the middle of April, 1980.

Elementary Applications of Probability Theory

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Publisher : Routledge
ISBN 13 : 1351452959
Total Pages : 200 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Elementary Applications of Probability Theory by : Henry C. Tuckwell

Download or read book Elementary Applications of Probability Theory written by Henry C. Tuckwell and published by Routledge. This book was released on 2018-02-06 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a clear and straightforward introduction to applications of probability theory with examples given in the biological sciences and engineering. The first chapter contains a summary of basic probability theory. Chapters two to five deal with random variables and their applications. Topics covered include geometric probability, estimation of animal and plant populations, reliability theory and computer simulation. Chapter six contains a lucid account of the convergence of sequences of random variables, with emphasis on the central limit theorem and the weak law of numbers. The next four chapters introduce random processes, including random walks and Markov chains illustrated by examples in population genetics and population growth. This edition also includes two chapters which introduce, in a manifestly readable fashion, the topic of stochastic differential equations and their applications.

Cybernetics And Systems Research '92 - Proceedings Of The 11th European Meeting On Cybernetics And Systems Research (In 2 Volumes)

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Publisher : World Scientific
ISBN 13 : 9814555096
Total Pages : 1740 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Cybernetics And Systems Research '92 - Proceedings Of The 11th European Meeting On Cybernetics And Systems Research (In 2 Volumes) by : Robert Trappl

Download or read book Cybernetics And Systems Research '92 - Proceedings Of The 11th European Meeting On Cybernetics And Systems Research (In 2 Volumes) written by Robert Trappl and published by World Scientific. This book was released on 1992-03-27 with total page 1740 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 210 articles which are divided into 18 sections in this new reference work represent the most recent findings in cybernetics and systems research. It brings together contributions from leading scientists from all over the world — Europe, North America, South America, Asia, Africa and Australia. This volume therefore gives a broad spectrum of the ongoing research worldwide.Topics covered in the 18 sections are: General Systems Methodology; Mathematical Systems Theory; Computer Aided Process Interpretation; Fuzzy Sets, Approximate Reasoning and Knowledge-based Systems; Designing and Systems; Biocybernetics and Mathematical Biology; Cybernetics in Medicine; Cybernetics of Socioeconomic Systems; Systems, Management and Organization; Cybernetics of National Development; Communication and Computers; Connectionism and Cognitive Processing; Intelligent Autonomous Systems; Artificial Intelligence; Impacts of Artificial Intelligence.

High-dimensional Nonlinear Diffusion Stochastic Processes

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Publisher : World Scientific
ISBN 13 : 9814492590
Total Pages : 322 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis High-dimensional Nonlinear Diffusion Stochastic Processes by : Yevgeny Mamontov

Download or read book High-dimensional Nonlinear Diffusion Stochastic Processes written by Yevgeny Mamontov and published by World Scientific. This book was released on 2001-01-19 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first one devoted to high-dimensional (or large-scale) diffusion stochastic processes (DSPs) with nonlinear coefficients. These processes are closely associated with nonlinear Ito's stochastic ordinary differential equations (ISODEs) and with the space-discretized versions of nonlinear Ito's stochastic partial integro-differential equations. The latter models include Ito's stochastic partial differential equations (ISPDEs).The book presents the new analytical treatment which can serve as the basis of a combined, analytical-numerical approach to greater computational efficiency in engineering problems. A few examples discussed in the book include: the high-dimensional DSPs described with the ISODE systems for semiconductor circuits; the nonrandom model for stochastic resonance (and other noise-induced phenomena) in high-dimensional DSPs; the modification of the well-known stochastic-adaptive-interpolation method by means of bases of function spaces; ISPDEs as the tool to consistently model non-Markov phenomena; the ISPDE system for semiconductor devices; the corresponding classification of charge transport in macroscale, mesoscale and microscale semiconductor regions based on the wave-diffusion equation; the fully time-domain nonlinear-friction aware analytical model for the velocity covariance of particle of uniform fluid, simple or dispersed; the specific time-domain analytics for the long, non-exponential “tails” of the velocity in case of the hard-sphere fluid.These examples demonstrate not only the capabilities of the developed techniques but also emphasize the usefulness of the complex-system-related approaches to solve some problems which have not been solved with the traditional, statistical-physics methods yet. From this veiwpoint, the book can be regarded as a kind of complement to such books as “Introduction to the Physics of Complex Systems. The Mesoscopic Approach to Fluctuations, Nonlinearity and Self-Organization” by Serra, Andretta, Compiani and Zanarini, “Stochastic Dynamical Systems. Concepts, Numerical Methods, Data Analysis” and “Statistical Physics: An Advanced Approach with Applications” by Honerkamp which deal with physics of complex systems, some of the corresponding analysis methods and an innovative, stochastics-based vision of theoretical physics.To facilitate the reading by nonmathematicians, the introductory chapter outlines the basic notions and results of theory of Markov and diffusion stochastic processes without involving the measure-theoretical approach. This presentation is based on probability densities commonly used in engineering and applied sciences.

Advances in Differential and Difference Equations with Applications 2020

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Publisher : MDPI
ISBN 13 : 3039368702
Total Pages : 348 pages
Book Rating : 4.0/5 (393 download)

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Book Synopsis Advances in Differential and Difference Equations with Applications 2020 by : Dumitru Baleanu

Download or read book Advances in Differential and Difference Equations with Applications 2020 written by Dumitru Baleanu and published by MDPI. This book was released on 2021-01-20 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is very well known that differential equations are related with the rise of physical science in the last several decades and they are used successfully for models of real-world problems in a variety of fields from several disciplines. Additionally, difference equations represent the discrete analogues of differential equations. These types of equations started to be used intensively during the last several years for their multiple applications, particularly in complex chaotic behavior. A certain class of differential and related difference equations is represented by their respective fractional forms, which have been utilized to better describe non-local phenomena appearing in all branches of science and engineering. The purpose of this book is to present some common results given by mathematicians together with physicists, engineers, as well as other scientists, for whom differential and difference equations are valuable research tools. The reported results can be used by researchers and academics working in both pure and applied differential equations.

Mechanisms, Symbols, and Models Underlying Cognition

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Publisher : Springer Science & Business Media
ISBN 13 : 3540262989
Total Pages : 555 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Mechanisms, Symbols, and Models Underlying Cognition by : José Mira

Download or read book Mechanisms, Symbols, and Models Underlying Cognition written by José Mira and published by Springer Science & Business Media. This book was released on 2005-06-09 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two-volume set LNCS 3561 and LNCS 3562 constitute the refereed proceedings of the First International Work-Conference on the Interplay between Natural and Artificial Computation, IWINAC 2005, held in Las Palmas, Canary Islands, Spain in June 2005. The 118 revised papers presented are thematically divided into two volumes; the first includes all the contributions mainly related with the methodological, conceptual, formal, and experimental developments in the fields of Neurophysiology and cognitive science. The second volume collects the papers related with bioinspired programming strategies and all the contributions related with the computational solutions to engineering problems in different application domains.

Simulation and Inference for Stochastic Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 0387758399
Total Pages : 298 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Simulation and Inference for Stochastic Differential Equations by : Stefano M. Iacus

Download or read book Simulation and Inference for Stochastic Differential Equations written by Stefano M. Iacus and published by Springer Science & Business Media. This book was released on 2009-04-27 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers a highly relevant and timely topic that is of wide interest, especially in finance, engineering and computational biology. The introductory material on simulation and stochastic differential equation is very accessible and will prove popular with many readers. While there are several recent texts available that cover stochastic differential equations, the concentration here on inference makes this book stand out. No other direct competitors are known to date. With an emphasis on the practical implementation of the simulation and estimation methods presented, the text will be useful to practitioners and students with minimal mathematical background. What’s more, because of the many R programs, the information here is appropriate for many mathematically well educated practitioners, too.

Mathematical Modelling & Computing in Biology and Medicine

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Publisher : Società Editrice Esculapio
ISBN 13 : 8874880553
Total Pages : 659 pages
Book Rating : 4.8/5 (748 download)

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Book Synopsis Mathematical Modelling & Computing in Biology and Medicine by : V. Capasso (Ed)

Download or read book Mathematical Modelling & Computing in Biology and Medicine written by V. Capasso (Ed) and published by Società Editrice Esculapio. This book was released on 2003 with total page 659 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Structure: From Physics To General Systems - Festschrift Volume In Honor Of E R Caianiello On His Seventieth Birthday (In 2 Volumes)

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Publisher : World Scientific
ISBN 13 : 9814553417
Total Pages : 836 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Structure: From Physics To General Systems - Festschrift Volume In Honor Of E R Caianiello On His Seventieth Birthday (In 2 Volumes) by : Maria Marinaro

Download or read book Structure: From Physics To General Systems - Festschrift Volume In Honor Of E R Caianiello On His Seventieth Birthday (In 2 Volumes) written by Maria Marinaro and published by World Scientific. This book was released on 1993-02-23 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift volume in honour of Prof. E R Caianiello contains invited papers of eminent scientists who have worked in the several areas to which Prof. Caianiello has given seminal contributions: quantum field theory, foundations of quantum mechanics and maximal acceleration (Vol. 1); neural nets, general systems theory and various topics of cybernetics (Vol. 2). The wide range of topics covered shows the fruitfulness of a higher unifying perspective on seemingly diverse subjects.

Stochastic Transport Processes in Discrete Biological Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3642475116
Total Pages : 182 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Stochastic Transport Processes in Discrete Biological Systems by : Eckart Frehland

Download or read book Stochastic Transport Processes in Discrete Biological Systems written by Eckart Frehland and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes are in part based on a course for advanced students in the applications of stochastic processes held in 1978 at the University of Konstanz. These notes contain the results of re cent studies on the stochastic description of ion transport through biological membranes. In particular, they serve as an introduction to an unified theory of fluctuations in complex biological transport systems. We emphasize that the subject of this volume is not to introduce the mathematics of stochastic processes but to present a field of theoretical biophysics in which stochastic methods are important. In the last years the study of membrane noise has become an important method in biophysics. Valuable information on the ion transport mechanisms in membranes can be obtained from noise analysis. A number of different processes such as the opening and closing of ion channels have been shown to be sources of the measured current or voltage fluctuations. Bio logical 'transport systems can be complex. For example, the transport process can be coupled to other processes such as chemical reactions and take place in discontinuous structures of molecular dimensions. Furthermore, since there are strong electric fields or high concentration gradients across biological membranes ion transport processes of biological relevance are mostly processes far from equilibrium. For these reasons the development of new theoretical concepts has been necessary. The concept of transport in discrete systems has turned out to be more appropriate than continuum models.

Stochastic Processes in Epidemic Theory

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Publisher : Springer
ISBN 13 : 3662100673
Total Pages : 208 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Stochastic Processes in Epidemic Theory by : Jean-Pierre Gabriel

Download or read book Stochastic Processes in Epidemic Theory written by Jean-Pierre Gabriel and published by Springer. This book was released on 2014-03-11 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of papers gives a representative cross-selectional view of recent developments in the field. After a survey paper by C. Lefèvre, 17 other research papers look at stochastic modeling of epidemics, both from a theoretical and a statistical point of view. Some look more specifically at a particular disease such as AIDS, malaria, schistosomiasis and diabetes.

Transient Processes in Cell Proliferation Kinetics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642487025
Total Pages : 224 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Transient Processes in Cell Proliferation Kinetics by : Andrej Yu. Yakovlev

Download or read book Transient Processes in Cell Proliferation Kinetics written by Andrej Yu. Yakovlev and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: A mathematician who has taken the romantic decision to devote himself to biology will doubtlessly look upon cell kinetics as the most simple and natural field of application for his knowledge and skills. Indeed, the thesaurus he is to master is not so complicated as, say, in molecular biology, the structural elements of the system, i. e. ceils, have been segregated by Nature itself, simple considerations of balance may be used for deducing basic equations, and numerous analogies in other areas of science also superficial add to one"s confidence. Generally speaking, this number of impression is correct, as evidenced by the very great theoretical studies on population kinetics, unmatched in other branches of mathematical biology. This, however, does not mean that mathematical theory of cell systems has traversed in its development a pathway free of difficulties or errors. The seeming ease of formalizing the phenomena of cell kinetics not infrequently led to the appearance of mathematical models lacking in adequacy or effectiveness from the viewpoint of applications. As in any other domain of science, mathematical theory of cell systems has its own intrinsic logic of development which, however, depends in large measure on the progress in experimental biology. Thus, during a fairly long period running into decades activities in that sphere were centered on devising its own specific approaches necessitated by new objectives in the experimental in vivo and in vitro investigation of cell population kinetics in different tissues.