Symposium Venue

The Symposium wil be held at the Centro Seminariale Monte Verità, CH-6612 Ascona, TI (near Locarno), Switzerland Ascona and the Monte Verità can be reached directly from Lugano-Agno airport, by train or car through Locarno.
Telephone: 0041-91-791 01 81
Fax: 0041-91-780-51 35
E-mail: reception@csf-mv.ti-edu
Detailed information on Website:

(Click the images to enlarge)
Arrival:Tuesday 7, March 2000
Departure:Sunday 12, March 2000

Scientific Goal

The main goals of the Third International Symosium will be: first, to explore the potential that fractal geometry offers for elucidating and explaining the complex made-up of cells, tissues and biological organisms either in normal, abnormal and tumoral conditions. Second, to develop the concepts, questions and methods required in research on fractal biology and natural and cultural phenomena and to evidence the pitfalls of a too simplistic application of these principles in investigating topical subjects of biology and medicine.

It aims to bridge the communication gap between various disciplines, to discuss present and future applications of the fractal geometry, by bringing together cellular, molecular and natural biologists, engineers, mathematicians, physicists, physicians and other scientists in an ambient favouring the interdisciplinary vision.

The Symposium might be relevant for the industry involved in developping and applying softwares and methods in the fields of morphometry, quantitative image analysis, stereology, nonlinear dynamics and related topics. Industrial researchers are invited to submit papers for regular platform or poster sessions.

Young participants would benefit from attending not only by listening lectures presented by invited scientists but also by presenting their current research during platform or poster communications so that the exchange of informations and ideas between different groups of researchers working in different areas of science and attracted by the fractal paradigm, will be strengthened. They are strongly encouraged to deliver a manuscript to be included in the Conference Proceedings which will be published in the new series " Mathematics and Biosciences in Interaction " by the Birkhäuser Press, Basel, Boston, Berlin.

Symposium Themes

Eight coherent sessions will be scheduled and tentatively headed as:
  • Fractals (spatial and temporal), power law, nonlinear dynamics, complexity, self-organization and chaos in metabolic and signalling pathways, in biodegradation and in natural environment
  • Fractals in biological design, angiogenesis, evolutionary pattern, morphogenesis, spatio-temporal tree structures, vessel branching
  • Fractal structures, functional complexity and chaos in tumours
  • Fractals in nuclei (DNA/ chromatin organization), gene expression, membranes and cell organelles during growth and death (apoptosis, necrosis)
  • Fractal in connective tissue, epithelial-stromal tissue interface, tissue-remodeling, biopolymers
  • Fractals in pathologic states of brain, nervous and cardiac tissue
  • Fractals of immunologic response and in autoimmune, aging and chronic diseases
  • Fractals in biomedical engineering,pattern recognition,radiological, sonographic and ultrasonic image analysis


The four-days symposium will be organized in morning sessions that will be devoted to lectures given by invited speakers on main topics and to shorter contributions (20 min.). Afternoon sessions will be devoted to free platform communications (20 min.) and poster sessions selected among submitted abstracts.

Posters session
Will be organized in the Balint Hall on wednesday and friday afternoons. Posters will be left displayed during the all symposium.

S.Albeverio (Germany), A.Brù (Spain), M.Buiatti (Italy), N.Dioguardi (Italy), A. Einstein (U.S.A.), G.Landini (UK), Hirato Kitaoka (Japan), G.A.Losa (Switzerland), B.Mandelbrot (U.S.A.), T.Mattfeld (Germany), D.Merlini (Switzerland), E.Oczeretko (Poland), T.F.Nonnenmacher (Germany), L.Nottale (France), J.P.Rigaut (France), B.Sapoval (France), P.Walizewski (Poland), E.R.Weibel (Switzerland), B.West (U.S.A.)


Tuesday 7

6pm-10pm: arrival/registration

Wednesday 8

9am: late registration


9.30am: SESSION I: Chairman: T.Nonnenmacher

9.30 B.West
10.15 M.Meyer
10.40 B.Sapoval
11.05 Break
11.25 H.Kitaoka
11.50 H.Kitaoka
12.15 P.Delsanto
12.40 G.Baumann

1 - 3 pm: LUNCH

3 pm: SESSION 2: Chairman: B.Sapoval

3.00 F.Nekka
3.25 J.Konarski
3.50 C.Felgueiras
4.15 N.Südland
4.40 D.Merlini
5.00 N.Sala
5.20 S.Albeverio

8 pm: DINNER

Thursday 9

9.30 am: SESSION 3: Chairman: B.West

9.30 G.Landini
10.15 A.Bru'
10.40 Break
11.00 F.Sepulcre
11.25 G.Pescarmona
11.50 G.Bianciardi
12.15 P.Waliszewski

1 - 3 pm: LUNCH

3.0 pm: SESSION 4: Chairman: G.Landini

3.00 J.P.Rigaut
3.45 G.De Vico
4.10 A.Piantanelli
4.35 H.Libouban
5.0 E.Oczeretko
5.25 A.Kyrylyuk

8 pm: DINNER

Friday 10

9.30 am: SESSION 5: Chairman : A.Kyrylyuk

9.30 B.Nielsen
9.55 B.Weyn
10.20 F.Marinelli
10.45 G.Losa
11.05 Break
11.25 N.Dioguardi
11.50 H.Hahn
12.15 H.Schwarzenbach
12.40 S.Montagnese

1-3 pm: LUNCH

2.30-3.30 pm: POSTER SESSION


Public lecture by Prof. B.Mandelbrot


8.30 pm - ?: FRACTAL DINNER and MUSIC

Saturday 11

9.30 am: SESSION 6: Chairman: N.Dioguardi

9.30 T.Mattfeldt
10.15 M.Buiatti
10.45 H.Chouard
11.10 B.Meyer
11.35 D.Cosandey
12.0 G.Damiani
12.20 L.Nottale


1.15 pm: Survival's LUNCH


The sequence of the speakers within a single session may be modified by decision of the chairman.

The allotted time for each speech is inclusive of five minutes discussion.

The titles of all presentations are listed in the section Updates and News.


Abstracts submission

Abstracts of one or two pages (A4) should be submitted to the Scientific Committee by e-mail as attached document (Format: Word, rtf, text) until February 20, 2000. They will be reproduced as submitted.

Attendance: is limited to 80-100 participants

Information on your participation to the Symposium and indication of the topic of your paper: January 31, 2000
Deadline for submission of abstracts: February 20, 2000.
Notification of acceptance February 27, 2000

Scientific and Organizing Committee

Prof. Dr.Gabriele A. Losa, chairman
Laboratorio di Patologia Cellulare, Institute of Pathology,CH-6601 Locarno
Faculty of Sciences, University of Lausanne, 1000 Lausanne, Switzerland
phone: +41-91-7562680; fax +41-91-7562691;

Prof.Dr.Theo F.Nonnenmacher, co-chairman
Abteilung für Mathematische Physik,
University Ulm, 89069-Ulm , Germany
phone: +49-731-5022990; fax: 731-5023003; e-mail:

Prof. Dr. Danilo Merlini
Centro di Ricerca in Fisica e Matematica,
v.F.Rusca 1, 6600 Locarno, Switzerland
phone:+41-91-7516424; fax:+41-91-7516425; e-mail:

Prof. Dr. Em.Ewald R.Weibel.
Maurice E.Mueller Foundation, University Bern
3000 Bern, Switzerland
phone: +41-31-3820031: fax: +41-31-3823087; e-mail:

Registration Fees

SFr. 120.- .The registration fee covers the access to the symposium, social events and a copy of the abstract booklet.

Hotel registration

In Hotel Centro Seminariale Monte Verità
  • single room + breakfeast: sfr. 110.- / night
  • double room + breakfeast: sfr. 77.- / night
  • Alternative Hotel (walking distance)

    Accomodation will be organized by the Direction of Centro Seminariale, Monte Verità, Ascona Fax: +41-91-780-51 35; Telephone: +41-91-791 01 81; e-mail: reception@csf-mv.ti-edu
    More infomations about Hotels :

  • Travel Informations

    Centro Seminariale Monte Verità, CH-6612 Ascona, Ti, Switzerland. Website: http://www.csf-mv.ethz

    Locarno Station-Ascona terminal: bus no. 31

    From Ascona to Centro Seminariale Monte Verità,minibus servive (BUXI) by Ascona Taxi, phone: 0041-91-7917777. Location:Underground Parking, via Baraggie, walking distance from Bus Terminal.

    Social events

    FRIDAY 10 March: 6 pm

    Celebration of Benoit Mandelbrot's 75 th Birthday

    Public Conference by Prof. Benoit Mandelbrot


    Salone Palazzo SOPRACENERINA

    Piazza Grande, Locarno

    FRIDAY 10, 8.30 pm: Fractal Dinner with musical entertainement at the Restaurant in Monte Verità.

    SATURDAY 11, afternoon: visit (for interested people) to the new Academy of Architecture at the University of the Italian Switzerland, Mendrisio. Meeting with Prof.s Mario Botta and Aurelio Galfetti, architects.

    Miscellaneous Informations

    T.F.Nonnenmacher, G.A.Losa, E.R.Weibel.
    Fractals in Biology and Medicine, vol I,1994
    Birkhäuser Verlag P.O.Box 133, CH-4010 Basel / Switzerland
    website: http://www.birkhä

    G.A.Losa,T.F.Nonnenmacher, D.Merlini, E.R.Weibel.
    Fractals in Biology and Medicine, vol II, 1998
    Birkhäuser Verlag P.O.Box 133, CH-4010 Basel / Switzerland

    Useful links:
    European Society for Analytical Cellular Pathology :
    Swiss Society for Optics and Microscopy :
    Swiss Society of Cell Biology, Molecular Biology and Genetics:
    Italian Society of Chaos and Complexity (SICC:
    Center for Research in Physics and Mathematics (CERFIM:
    Italian Society for Electron Microscopy (SIME:
    Chaos at Maryland:
    Society for Mathematical Biology:
    Microscopy Society of America:
    Swiss Academy of Sciences SAS:

    News and Updates

    Abstracts must not exceed two pages(format A4)including references 
    and figures and be submitted to the organizers by e-mail. Submitted abstracts 
    will be published in a regular issue of Biology Forum, an international 
    multidisciplinary Journal.
      March 3, 2000
    - B.Sapoval, M.Filoche, *E.R.Weibel. 
      Laboratoire de Physique de la Matière Condensée, C.N.R.S. 
      Ecole Polytechnique,91128 Palaiseau, France; Centre de Mathématiques
      et de leurs Applications, Ecole Nornale Supérieure de Cachan, 
      94140 Cachan, France.
      *Department of Anatomy,University of Berne,CH-3000 Bern, Switzerland.
      Acinus morphology and optimal design of mammalian lungs.
    - Gabriel Landini.
      Oral Pathology Unit, School of Dentistry, The University of Birmingham,
      St.Chad's Quensway, Birmingham B4 6NN, England.
      Fractals in organogenesis and carcinogenesis: algorithmic pattern formation?
    - Laurent Nottale. 
      DEAC. UMR 8631 CNRS. Observatoire de Paris-Meudon. 
      F-92195 Meudon Cedex, France.
      On the possible fractal structure of the evolutionary tree.
    - G.P.Pescarmona,*M.Scalerandi, B.Capogrosso,*P.P.Delsanto.
      Dip.Genetica, Biologia e Biochimica,Via Santena 5bis, Università di Torino,
      Torino e *INFM, Dipartimento di Fisica,Politecnico di Torino,10126 Torino.
      A simulation of cancer growth and metastasis based on the limitation 
      of essential nutrients. 
    - *P.P.Delsanto,V.Agostini,*B.Capogrosso,*M. Scalerandi,G.B.Pescarmona.  
      Dip.Genetica, Biologia e Biochimica,Via Santena 5bis, Università di Torino,
      Torino e *INFM, Dipartimento di Fisica,Politecnico di Torino,10126 Torino.
      Non-classical,non-linear effects in physics,geophysics and biology.
    - *E.Castelli, G.L.Panatton, *T.Todros.
      Dipartimento di Anatomia, Farmacologia e Medicina Legale, Università 
      di Torino, e *Dipartimento di Discipline Ginecologiche e Ostetriche,
      Università di Torino,Torino,Italy.
      Ultrasonographic nuchal translucency and development of the lymphatic 
      system in the fetus: can they be explained by a fractal model?.
    - V.Péan,M.Quayoun,C.Fugain,B.Meyer,C.H.Chouard. 
      ENT Research Laboratory,CHU  St-Antoine, 184 rue du Fbg St-Antoine.
      F-75012 Paris, France.
      Fractal approaches of pathological voices.
    - M.Quayoun,V.Péan,B.Meyer,C.H.Chouard.
      ENT Research Laboratory, CHU St-Antoine,184 rue du Fbg St-Antoine.
      F-75012 Paris, France.
      A fractal approach of speech vowels.
    - David A.Cosandey. Crédit Suisse. Ch-8000 Zürich, Switzerland
      The fractal dimension of the coastline as a determinant of western 
      leadership in science and technology.
    - Gionata De Vico,G.Piedimonte,B.Macrì. 
      Dipartimento di Patologia, Malattie infettive e Parassitarie 
      ed Ispezione degli Alimenti di O.A. Sezione di Patologia Generale 
      e Anatomia Patologica Veterinaria, Facoltà di Medicina Veterinaria,
      Università di Messina, Via S.cecilia 30, 98123 Messina, Italy.
      The fractal dimension of the inner surface of neoplastic mammary ducts 
      in mammary fibroadenomas and mammary adenocarcinomas of dog and cat.
    - Francesc Sepulcre Sànchez. 
      Dep. Enginyeria Química,Universitat Politècnica de Catalunya,
      Comte d'Urgell 187, 08036 Barcelona, Spain.
      Recognition of malignant mesothelioma cells.
    - Antonio Brú. 
      C.I.E.M.A.T, Avenida Complutense,22, 28040 Madrid, Spain.
      Universal scaling of tumor growth.
    - Andrei P. Kyrylyuk. 
      Solid State Theory Department, Institute of Metal Physics,
      of the National Academy of Sciences of Ukraine, 
      prospect Vernadskogo 36,
      Kiev-30, Ukraine 01030.
      The universal dynamic complexity,extended dynamical fractal 
      and its application to living systems.
    - Michael Meyer,O.Stiedl, J.Spiess. 
      Department of Physiology, Max Plank Institute for Experimental 
      Medicine, Hermann Rein Str.3, D-37075 Goettingen, Germany.
      Fractal scaling of heart rate dynamics in man and mice
      (normal and transgenic).
    - B.Kerman,Michael Meyer.
      Department of Physiology, Max Plank Institute for Experimental 
      Medicine, Hermann Rein Str.3, D-37075 Goettingen, Germany.
      Multi-fractal states of cardiac rhythm.
    - Jean Paul Rigaut, Vénus Sharifi-Salamatian. 
      IUH,IFR,Hôpital St.Louis, 1 avenue Claude Vellefaux,
      75475 Paris, France.
      Heterogeneity: from asymptotic fractals to geostatistics.
    - Bruce J. West. 
      FAPS, Army Research Office, Research Triangle, nc 27709-22111,U.S.A.
      Fractional calculus and memory in biomedical time series.
    - Marcello Buiatti, Claudia Acquisti,Giuseppe Mersi,
      Patrizia Bogani, Marco Buiatti.
      Dipartimento di Biologia Animale e Genetica. Università di Firenze. 
      Firenze, Italy
      The biological meaning of DNA correlations.
    - H.Libouban,M.F.Moreau,E.Legrand,M.F.Baslé,M.Audran,D.Chappard. 
      LHEA: Lab.Histologie Embryologie,Faculty of Medicine,University
      and CHU of Angers, 49033 Angers, France.
      Histomorphometric descriptors of bone architecture (fractal dimension 
      and connectivity indeces) are better predictors of bone loss than mineral 
      density (DXA)in the orchidectomized rat.
    - D.Chappard,A.Chennebault,M.F.Moreau,E.Legrand,M.Audran,M.F.Baslé. 
      LHEA: Lab.Histologie Embryologie,Faculty of Medicine, University 
      and CHU of Angers, 49033 Angers, France.
      Texture analysis of X-ray micrographs by fractal geometry are better 
      predictors of bone loss than mineral density (DXA) in a rat model of 
      localized disuse osteopenia.
    - E.Oczeretko. 
      Institute of Physics, University of Bialystok, 15-424 Bialystok, Poland.
      Fractal dimension: a new diagnostic parameter in medicine?
    - Hiroko Kitaoka.
      Div. of Functional Diagnostic Imaging, Osaka University Medical School,
      Osaka, Japan.
      1.Three-dimensional model of the human airway tree based on a fractal 
      branching algorithm.
      2.Three-dimensional model of the human pulmonary acinus based on a 
      space-filling labyrinthe algorithm.
    - Jerzy Konarski.
      Faculty of Chemistry, A.Mickiewicz University, Grunwaldzk 6, 
      60-780 Poznam, Poland.
      Stable and unstable rovibrational states-route to chaos.
    - B.Nielsen,F.Albregtsen,H.E.Danielsen.
      Department of Informatics, University of Oslo, P.O.Box 1080 Blindern,
      N-0136 Oslo, Norway.Division of Digital Pathology,
      The Norvegian Radium Hospital, Montebello, N-0310 Oslo, Norway.
      Using fractal signature and lacunarity distance matrices to extract 
      new adaptive texture freatures from cell nuclei.
    - *C.Castelli,**T.F.Nonnenmacher,*°G.A.Losa.
      *Laboratorio di Patologia Cellulare, Istituto di Patologia, 6600 Locarno, 
      °Istituto di Studi Scientifici Interdisciplinari, 66oo Locarno, Switzerland 
      ** Abteilung für Mathematische Physyk, Universität Ulm, Ulm, Germany.
      Morphofractal reorganization of plasma membrane and nuclear components 
      during the apoptotic process of breast cancer cells. 
    - Giuseppe Damiani.
      IDVGA-CNR, via F.lli Cervi 93, 20090 Segrate (MI), Italy.
      Power laws, metabolism and evolution.
    - Fahima Nekka.
      Faculté de Pharmacie, C.P. 6128, Montréal H3C 3J7, Canada
      Lacunarity analysis.
    - Przemko Waliszewski.
      Department of Theoretical Chemistry, University of Poznan,
      Grunwaldzka 6, 60-780 Poznan, Poland.
      A relationship between time and space in cellular system 
      with fractal structure.
    - Horst K.Hahn, Carl J.G.Evertsz, Hans-Otto Peigen.
      MeVis, Universität Bremen, 28359, Bremen, Germany.
      Fractal properties, segment anatomy and interdependence 
      of the human portal vein and the hepatic vein in 3D.
    - Gerd Baumann(1),Siglinde Kleinschmidt(2),Albrecht K.Kleinschmidt(2).
      (1)Department of Mathematical Physics, University of Ulm, 
      (2) University of Ulm Albert-Einstein-Allee 11,D-89069 Ulm,Germany.
       A headful of T4 Coliphage DNA: dynamical Modelling.
    - Torsten Mattfeld °,Hans-Werner Gottfried +,Hans A.Kestler ".
      Institute of Pathology°, Department of Urology +, 
      Department of Neural Information Processing ",
      University of Ulm, Oberer Eselsberg M23, 
      D-89081 Germany.
      Classification of prostatic cancer using artificial neural networks.
    - Nicola Dioguardi, Fabio Grizzi.
      Istituto Clinico Humanitas, Via Manzoni 56,20089 Rozzano(Mi),Italy.
      Fractal dimension exponent for quantitative evaluation 
      of liver collagen in bioptic specimens.
    - H.R.Schwarzenbach,M.Essig,J.Prim,J.Tuma, L.Braun.
      Swiss Ultrasound Society (SGUM),6815 Melide,Switzerland.
      Fractal analysis of signal-intensity-variance in liver 
    - B.Weyn °*, W.Jacob*, A.Van Daele*, D.Thompson°, H.Bartels°, P.Bartels°.
      °Optical Sciences Center, University of Arizona, Tucson, AZ,USA 
      *Centre for Electron Microscopy, University of Antwerp(UIA),
      Universiteitsplein 1, B-2610 Antwerpen, Belgium.
      Quantification of nuclear signatures based on geometrical 
      and fractal features.
    - Norbert Südland,Christine Volz,Theo F.Nonnenmacher.
      Abteilung für Mathematische Physik, Universität Ulm, 
      Albert-Einstein-Allee 11,D-89069 Ulm, Germany
      A fractional Calculus approach to adsorbate dynamics 
      in nanoporous materials.
    - Nicoletta Sala.
      Academy of Architecture, University of Italian Switzerland,
      6853 Mendrisio, Switzerland.
      Fractals in architecture: some examples. 
    - D.Pascoli*,S.Montagnese°,T.Minelli*,A.Pesavento",
      PG. Marchetti°,P.Amodio°.
      *Dept.of Physics and °Dept.of Clinical and Experimental 
      Medicine,University of Padova,"I Psychiatry,
      General Hospital of Padova, Padova, Italy.
      The EEG signal in hepatic encephalopathy:from time-domain 
      analysis towards fractional brownian Processes.
    - Carlos Felgueiras
      INEB-Instituto de Engenharia Biomédica
      Praça do Coronel Pacheco,1, 4050 Porto, Portugal.
      Fractal Modeling of film growth on bioactive surface.
    - Jürgen.W.Dollinger, Theo.F.Nonnenmacher.
      Department of Mathematical Physics, University of Ulm
      Albert-Eistein-Allee 11, D-89069 Ulm/Donau, Germany
      Bi-asymptotic fractals; Lower and upper bounds.
    - A.Piantanelli*,S.Serresi*,A.Giacchetti*,G.Libertini*,
      *Unit of Dermatology-Geriatric Hospital and 
      °Centre of Biochemistry-Gerontologic Research Department; 
      Estimation of image contour fractal dimension of human 
      pigmented skin lesions.
    - Fiorenzo Marinelli.
      Istituto di Citomorfologia C.N.R., Via di Barbiano 1/10, 
      40136 Bologna, Italy
      Fractal analysis of cromatin during apoptosis.
    - G.Bianciardi,L.Leoncini,S.Lazzi,A.V.Lalinga, P.Luzi.
      Istituto di Anatomia e Istologia Patologica, 
      Università di Siena, Via delle Scotte 6,53100 Siena, Italy
      Fractal analysis of the bone marrow in refractory anemia 
      and acute leukemia.
    - D.Merlini°,L.Rusconi°,A.Bernasconi*
      °Center for Research in Physics and Mathematics (CERFIM /ISSI),
      v.Rusca 1, 6600 Locarno, Switzerland 
      *Swiss Center for Scientific Computing (CSCS),6928 Manno,Switzerland
      Chaos and complexity from the Riemann Hypothesis
    - Sergio Albeverio.
      Institute for Mathematics and Probability,
      University of Bonn, Bonn,Germany
      Branching processes and biological models.


    The Symposium will be held under the patronage of the International Society of Stereology, International Society for Diagnostic Quantitative Pathology, European Society for Analytical Cellular Pathology, Swiss National Science Foundation, Swiss Academy of Sciences, Maurice E.Müller Foundation, Swiss Society of Cytometry, Swiss Society of Cell Biology, Swiss Society of Microscopy, Dipartimento Istruzione e Cultura (Ufficio Studi Universitari) and Dipartimento Opere Sociali of the Republic of Ticino, Accademia di Architettura of the University of Italian Switzerland (USI), Swiss Center for Scientific Computing, Manno, Società Ticinese di Scienze Naturali, Lugano; Institute for Scientific Interdisciplinary Study, Locarno; Research Center for Mathematics and Physics, Locarno (Switzerland).


    Public Institutions

    Dipartimento Istruzione e Cultura /Ufficio Studi Universitari e
    Dipartimento Opere Sociali, Repubblica e Stato del Canton Ticino, Bellinzona
    Swiss National Science Foundation, Berne
    Swiss Academy of Sciences, Berne
    Major and City of Locarno

    Private Institutions

    Banca dello Stato del Canton Ticino, Bellinzona
    Maurice E.Müller Foundation, Berne
    Banca del Gottardo, Lugano
    Banca della Svizzera Italiana, Lugano
    Banco di Lugano,Lugano
    Pharma Consulting Marion Senn GMBH, Burgdorf
    Becton Dickinson BD,Basel