Larry S. Liebovitch, Ph.D.
Dean
Division of Mathematics and Natural Sciences
Professor
Departments of Physics and Psychology
Queens College, City University of New York
65-30 Kissena Boulevard
Remsen Hall Room 125
Flushing, NY 11367
Telephone: 718.997.4105
Fax: 718.997.4103
email:larry.liebovitch@qc.cuny.edu
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B.S. Physics, City College of New
York, 1972
Ph.D. Astronomy, Harvard University, 1978
In 1995,
elected as a Fellow of the American Physical Society
"For advancing the physics of fractals and chaos and using these methods to analyze and
understand biological systems." |
Curriculum Vitae
(Resume)
Article
about Dr. Liebovitch from Emerging: The Newsletter of the Plexus Institute
(July/August 2005)
En espanol - from number 21 of "Komplex", a
monthly newsletter edited by O+berri, the Basque Institute of Innovation (29 de
mayo de 2006)
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Oxford
University Press
Fractals and Chaos Simplified |
Fractals and Chaos Simplified for the Life Sciences
- by Larry S. Liebovitch
- Oxford University Press, New York NY, 1998
- ISBN 0-19-512024-8
- This book explains the properties of fractals and chaos and illustrates
them with examples from biology and medicine. The aim is to provide a basic
understanding to people who are unfamiliar and/or afraid of mathematics.
However, enough mathematical detail is provided so that biomedical scientists
can learn how to use these new methods in their own research. The material is
presented one concept at at time on facing pages, with text on the left page and
graphics on the right page. The graphics pages can be copied onto
transparencies to use to teach this material.
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CD-ROM
DecoBytesEducation,
LLC
www.decobyteseducation.com |
The Mathematics and Science of Fractals
- by Larry S. Liebovitch and Lina A. Shehadeh
- What mathematics is, how mathematicians do mathematics, and how mathematics
is used in science.
- LECTURE NOTES: html textbook.
- HANDS-ON GROUP CLASSROOM ACTIVITIES: html, video.
- INDIVIDUAL SELF-DISCOVERY EXERCISES: java applets, excel spreadsheets.
- ASSESSMENT TOOLS: homework assignments, journal questions, self-tests.
- Math: generalization, isomorphism, iteration, invariants, arithmetic
series, geometric series, limits, graphs, linear scales, logarithmic scales,
statistics, self-similarity, and dimension.
- Science: heart, eye, ear, and brain.
- A one semester Liberal Arts undergraduate mathematics course.
- Enrichment modules for College Algebra or Calculus.
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published by
BioMed Central
www.nonlinearbiomedphys.com |
Nonlinear Biomedical Physics
- New on-line journal of nonlinear methods from the physical sciences applied
to biology and medicine.
- Articles that cross the cultural divide from mathematics to the life
sciences.
- Editors-in-Chief: Zbigniew CZERNICKI, Wlodzimierz KLONOWSKI, and Larry
LIEBOVITCH
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SAGE Publications, Quantitative Applications in the Social Sciences, Volume 165
SAGE:
QASS Vol. 165 |
Fractal Analysis in the Social Sciences
- by Clifford T. Brown and Larry S. Liebovitch
- SAGE Publications, Thousand Oaks, CA, 91320
- ISBN: 9781412971652
- This primer uses straightforward language to give the reader step-by-step
instructions for identifying and analyzing fractal patterns and the social
process that create them. By making fractals accessible to the social science
students, this book has a significant impact on the understanding of human
behavior.
- Detailed examples help readers learn and understand the analytical methods
presented.
- Clear and logical explanations of fractals and their analysis enable the
instructor to easily teach and the student to easily learn the material.
- MATLAB programs to analyze data.
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Current
Research |
Current Research Interests
The analysis of complex systems
that have many interacting parts.
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PEOPLE: Models of Conflict
We are
applying concepts from the dynamics of physical systems to model the
interactions between two or more people and then, as part of a
team of social
scientists, using social psychology laboratory experiments to test the
predictions of those models. Liebovitch et al., 2008,
Physica
A387:6360-6378
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GENES: Differentiation of Blood Stem Cells
We
are using mathematical models of the interaction of genes (such as GATA1 and
PU.1) to predict how changes in the levels of signaling proteins and gene
expression lead to different cell fates from progenitor blood stem cells. These
predictions will be tested by experiments to be done at the Institute for Stem
Cell Research at the Helmholtz Center Munich, Germany.
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DRUGS: Turning Deleterious Drug
Interactions Into Useful Multidrug Therapies
Drugs designed for a
specific target are always found to have multiple effects. We are exploring how
to use computational methods to predict which combinations of drugs, whose
effects interfere with each other, in just the right way, to produce more
targeted results with fewer side effects. Liebovitch et al., 2007,
Nonlinear
Biomedical Physics, 1:11..
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EPIDEMICS: Spread of Infectious Diseases
We
are modeling the spatial and temporal transmission of infectious agents through
geographically distributed "patches" of people. These models give
insight into how diseases spread in response to natural and human created
events. Rho et al., 2008,
Phys. Letts.
A372:5017-5025.
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ECONOMICS: Econophysics
We are
analyzing the prices of commodities from ancient Babylon and medieval England to
determine if ancient economies functioned as supply and demand systems, like
modern economies. The challenge here is how to analyze time series data when
there are gaps of 70% to 95% in the data. Europhysics Letters 90:18004.
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ARCHEOLOGY: Movements of People and the
Spatial Distribution of their Artifacts
We are using new methods, based
on fractals, to analyze and understand the migration patterns of people and the
spatial distribution of their artifacts at archeological sites. Brown et al.,
2005, J. Archaeological
Method and Theory 12:37-78.
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Recent
Publications |
Recent Publications
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L. S. Liebovitch, Y. Tao, A. T. Todorov, and L. Levine. 1996.
Is there an error
checking code in the base sequence in DNA? Biophysical Journal,
71:1539-1544 (pdf).. |
L. S. Liebovitch, A. T. Todorov, M. Zochowski, D. Scheurle, L. Colgin, M.
A. Wood, K. A. Ellenbogen, J. M. Herre, and R. C. Bernstein. 1999.
Nonlinear properties of
cardiac rhythm abnormalities. Phys. Rev E, 59:3312-3319. (pdf) |
M. Zochowski and L. S. Liebovitch. 1999.
Self-organizing
dynamics of coupled map systems. Phys. Rev E, 59:2830-2837 (pdf). |
S. B. Lowen, L. S. Liebovitch, and J. A. White. 1999.
Fractal ion-channel
behavior generates fractal firing patterns in neuronal models.
Phys. Rev E, 59: 5970-5980 (pdf) |
M. A. Wood, K. A. Ellenbogen and L. S. Liebovitch. 1999.
Electrical
storm in patients with transverse implantable cardioverter-defibrillatorsJ.
Am. Coll. Cardiology, 34:950-951.
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L. S. Liebovitch, A. T. Todorov, M. A. Wood, and K. A. Ellenbogen. 2000.
When using the mean is meaningless: examples from probability theory and
cardiology, In Handbook of Research Design in Mathematics and Science
Education
Eds. A. E. Kelly and R. Lesh, Lawrence Erlbaum Assoc. Inc, Mahwah NJ,
pp. 913-926. |
L. S. Liebovitch, and D. Scheurle. 2000.
Two lessons from
fractals and chaos.
Complexity, 5(No.4):34-43. (html). |
L. S. Liebovitch and A. T. Todorov. 2000.
What causes ion channel proteins to open and close? In Disorder Versus
Order in Brain Function,
Eds. Peter Arhem, Clas Blomberg, and Hans Liljenstrom, World Scientific,
River Edge, NJ,
pp. 83-106. |
W. A. Varanda, L. S. Liebovitch, J. N. Figueira, and R. A. Nogueira.
2000.
Hurst analysis
applied to the study of single calcium-activated potassium channel kinetics in
Leydig cells. J. Theoret. Biol., 206: 343-353. (pdf) . |
L. S. Liebovitch, Daniela Scheurle, Marian Rusek, and Michal Zochowski.
2001.
Fractal
methods to analyze ion channel kinetics.
Methods 24:359-375 (pdf). |
L. A. Shehadeh, L. S. Liebovitch, and M. A. Wood. 2002.
Temporal
patterns of atrial arrhythmia recurrences in patients with implantable
debfibrillators: implications for assessing antiarrhythmic therapies. J.
Card. Electrophys. 13:303-309. |
L. S. Liebovitch and Piotr Krekora. 2002.
The physical basis of ion
channel kinetics: the importance of dynamics.
Institute for Mathematics and its Applications Volumes in Mathematics and
its Applications, Membrane Transport and Renal Physiology,Eds. H. E. Layton
and A. M. Weinstein, 129:27-52. (html) |
L. S. Liebovitch, T. Penzel, and J. W. Kantelhardt. 2002.
Physiological relevance of scaling of heart phenomena. In The Science of
Fractal Disasters: Climate Disruptions, Heart Attacks, and Market Crashes,
Eds. A. Bunde, J, Kropp, and H. J. Schellnhuber, Springer, Berlin, pp. 258-281. |
L. S. Liebovitch and I. B. Schwartz. 2003.
Information flow
dynamics and timing patterns in the arrival of email viruses. Phys. Rev. E.
68 :017101-1 - 017101-4. (pdf). |
L. S. Liebovitch and I. B. Schwartz. 2004.
Migration induced
epidemics: Dynamics of Flux-based multipatch models. Phys. Lett. A 332
:256-267. (pdf). |
C. T. Brown, W. R. T. Walter, and L. S. Liebovitch. 2005.
The Broken Past: Fractals
in Archaeology. J. Archaeological Method and Theory 12 :37-78.
(pdf). |
L. S. Liebovitch and Lina A. Shehadeh. 2005.
Chapter 5. Introduction to
Fractals (pdf). In Tutorials in Contemporary Nonlinear Methods for the
Behavorial Sciences Web Book Eds. M. A. Riley and G. V. Orden, National
Science Foundation, Directorate for Social, Behavorial and Economic Sciences,
http://www.nsf.gov/sbe/bcs/pac/nmbs/nmbs.jsp |
L. A. Shehadeh, L. S. Liebovitch, and V. K. Jirsa. 2006.
Relationship between global
structures of genetic networks and mRNA levels measured by cDNA microarrays
(pdf).Physica A 364 :297-314. |
L. S. Liebovitch. 2006.
Why the eye is round.
in Biology of the Eye, Ed. J. Fischbarg. Elsevier, New York, NY,
pp. 1-19. |
L. S. Liebovitch, V. K. Jirsa, and L. A. Shehadeh. 2006.
Structure of genetic
regulatory networks: Evidence for scale free networks (pdf).
In Complexus Mundi: Emergent Patterns in Nature, Ed. M. M. Novak,
World Scientific, Singapore, pp. 1-8. |
L. S. Liebovitch. 2006.
What is "Self-Organization"?
(pdf)
In Emgering, The Newsletter of the Plexus Institute, April-August
2006, pp. 16-19. |
| C. T. Brown, L. S. Liebovitch, and R. Glendon. 2007.
Levy flights in Dobe
Ju'/hoansi foraging patterns (pdf). Human Ecology 35:129-138. |
L. S. Liebovitch, N. Tsinoremas, and A. Pandya. 2007.
Devloping
combinatorial multi-component therapies (CMCT) of drugs that are more specific
and have fewer side effects than traditional one drug therapies (pdf) Nonlinear
Biomedical Physics 1:11 (30 August) doi:10.1186/1753-4631-1-1107. |
Y.-A. Rho, L. S. Liebovitch, and I. B. Schwartz. 2008.
Dynamical response of
multi-patch, flux-based models to the input of infected people: Epidemic
response to initiated events (pdf) Physics Letters A 372:5017-5025.
doi:10.1016/j.physleta.2008.05.065
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L. S. Liebovitch, V. Naudot, R. Vallacher, A. Nowak, L. Bui-Wrzosinska, and
P. Coleman. 2008.
Dynamics of
two-actor cooperation-competition conflict models. (pdf) Physica A
387:6360-6378. doi:
10.1016/j.physa.2008.07.020 |
N. E. Romero, Q. D. Y. Ma, L. S. Liebovitch, C. T. Brown
and P. Ch. Ivanov. 2010.
Correlated walks down the Babylonian markets (pdf) Europhysics Letters (EPL) 90:18004. doi: 10.1209/0295-5075/90/18004. |
C. Witkov and L. S. Liebovitch. 2010.
Predicting optimal sweep
rates for autoresonance in Duffing-type oscillators: A beat method using
Teager-Kaiser instantaneous frequency J. Sound and Vibration 329(8):1154-1164. doi:10.1016/j.jsv.2009.10.030
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C. Marr, F. J. Theis, L. S. Liebovitch, and M.-T. Huett. 2010.
Patterns of subnet usage reveal distinct scales of regulation in the transcriptional regulatory network of Escherichia coli (pdf) PLoS Computational Biology 6(7): e1000836. doi:10.1371/journal.pcbi.1000836 |
L. S. Liebovitch, R. Vallacher, and J. Michaels. 2010.
Dynamics of cooperation-competition interaction model, Peace and Conflict: The Journal of Peace Psychology, 16(2):175-188. |
J. L. Michaels, V. Naudot, and L. S. Liebovitch. 2010.
Dynamic stabilization in the PU1-GATA1 circuit using a model with time-dependent kinetic change Bulletin of Mathematical Biology doi: 10.1007/s11538-010-9615-3 |
L. S. Liebovitch and V. Naudot. 2011.
Open problems in the dynamics of the expression of gene interaction networks (pdf), In Frontiers in the Study of Chaotic Dynamical Systems with Open Problems, Ed. Z. Elhadj and J. C. Sprott, World Scientific, Singapore, pp. 219-229. |
L. S. Liebovitch, Paul R. Peluso, M. D. Norman, J. Su, and J. M. Gottman. 2011.
Mathematical model of the dynamics of psychotherapy. Cognitive Neurodynamics doi: 10.1007/s11571-011-9157-x |
R. Peluso, L. S. Liebovitch, J. M, Gottman, and J. Su. 2011.
A Mathematical Model of Psychotherapy: An Investigation Using Dynamic Non-linear Equations to Model the Therapeutic Relationship. Psychotherapy Research, in press. |
Recent
Courses |
Recent Courses
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Fall 2009
Fractals in
Psychology
PSY 3502
86664 M.W.F 1:00 PM - 1:50 PM,
Building 44, Social Science Building, Room 270, Boca Raton
This course shows how fractal methods can be used to analyze
experimental data and gain a better understanding of the physiology and
psychology of perception and behavior.
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Fall 2008
Methods in Complex
Systems
ISC 6450
84633 M.W.. 12:30 PM - 1:50 PM,
Building 12, Behavioral Sciences Building, Room 303, Boca Raton
Linear,
parametric, non-parametric, and nonlinear analysis of experimental data: The
stuff that they told you and that they didn't tell you in undergraduate
statistics. This course helps you to understand the assumptions used in these
statistical methods and which statistical methods are best for analyzing
different types of data.
Required for the Ph.D. program in Complex
Systems and Brain Sciences.
This course can also be used as the first semester course needed to fulfill
the statistics requirement for graduate Psychology majors. (The Laboratory in
Statistics is also required for Psychology Students.)
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Spring 2008
Fractals in Psychology
PSY
3502
15529 M.W.F noon - 12:50 PM, Building 55, Physical Sciences Building,
Room 109, Boca Raton
This course shows how fractal methods can be used to analyze
experimental data and gain a better understanding of the physiology and
psychology of perception and behavior.
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Fall 2007
Seminars in
Neuroscience
ISC 6930
16030 .T... 3:30 PM - 4:20 PM,
(Charles E. Schmidt BioMedical Science Center, Building BC-71, Room 276, Boca
Raton)
Speakers from other universities, FAU, and student presentations about
Neuroscience.
This course will likely be one of those required for an
FAU Graduate Certificate in Neuroscience that is now under consideration.
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Spring 2007
Application of Fractals
to Psychology
PSY 4930
16349 M.W.F 11:00 AM - 11:50 AM,
(Social Sciences Building SO, Room 276, Boca Raton)
This course shows the use of fractal methods applied to Psychology.
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Fall 2006
Complexity for the
Life Sciences
PSY 5930
15854 M.W.. 9:30 AM - 10:50 AM,
(Building BS-12, Room 303, Boca Raton)
Most things are made up of many pieces that interact strongly with each
other.
Yet much of science has tried to study things by tearing them apart
and studying only their tiny separate, noninteracting pieces.
Here we will
learn how the science of "complexity" is able to help us see, analyze,
and understand complex entities in physics, chemistry, biology, and psychology.
Note: This course may serve as an elective for
psychology graduate students if it has been approved by a student's advisor and
committee; but it cannot be substituted for a core course; it may only serve as
an elective.
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Spring 2006
Psychology and the
Internet
PSY 4930
15298 M.W.F 11:00 AM - 11:50 AM (PS
227 Boca Raton)
The INTERNET has become an important mode of how people acquire
information, interact with each other, and conduct business.
Thorough
knowledge of the INTERNET is becoming of pivotal importance in academic
Psychology and in the Business environment.
This course will:
Tell
you what the INTERNET is, how it works, and how it came to be.
Describe
the social space and processes that happen over the INTERNET.
Describe how the Internet is changing social
interactions, businesses, politics, and the military.
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Fall 2005
ProSeminar
ISC 6937
12506 Wednesdays 2:00 PM (BS 303 Boca Raton
map)
The
Center for Complex Systems and Brain Sciences Faculty will each describe their
research interests and the active research projects in their laboratories.
A
way to learn about the current research activities of our Center.
A way to
identify a laboratory and professor for future research projects.
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Spring 2005
The Mathematics and
Science of Fractals
MAT 1932
15094 M.W.F 11:00 - 11:50
AM (GS 109 Boca Raton)
Mathematics for undergraduate students who never
liked and never did well in math.
This course can be used as one of the
mathematics courses (besides Statistics) needed to fulfill the mathematics
requirement for undergraduate Psychology majors.
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Fall 2004
Fractals and Chaos for
the Life Sciences
ISC 5451
20662 .Tuesday.Thursday.
11:00 AM - 12:20 PM FL 317 (Fleming Hall, Boca Raton)
Graduate/Undergraduate
course of the mathematics of fractals and chaos applied to cellular,
physiological, and psychological systems.
(Mathematical level: calculus and
differential equations.)
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Spring 2004
The Mathematics and
Science of Fractals
MAT 1932
15115 M.W.F 11:00 - 11:50
AM (GS 115 Boca Raton) NOTE: room change
Mathematics
for undergraduate students who never liked and never did well in math.
This
course can be used as one of the mathematics courses (besides Statistics) needed
to fulfill the mathematics requirement for undergraduate Psychology majors.
Methods in Compex
Systems
ISC 6450
18426 M...F 1:00 PM - 2:50 PM
(Complex Systems & Brain Sciences Classroom, Innovation Centre II)
Linear
and nonlinear analysis of experimental data: The stuff that they told you and
that they didn't tell you in undergraduate statistics.
Required for the
Ph.D. program in Complex Systems and Brain Sciences. It can also be used as the
first semester course needed to fulfill the statistics requirement for graduate
Psychology majors.
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Fall 2003
The Psychology of the
Internet
PSY 4930
14891 M.W.. 11:00 AM - 12:20 PM
(GCS107 Boca Raton)
The INTERNET has become an important mode of how people acquire
information, interact with each other, and conduct business.
Thorough
knowledge of the INTERNET is becoming of pivotal importance in academic
Psychology and in the Business environment.
This course will:
Tell
you what the INTERNET is and how it works.
Describe the
social space and processes that happen over the INTERNET.
Give you information about resources available for
learning about Psychology over the INTERNET.
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last revised January 12, 2011
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