Name : Dr. NITA PAREKH
Date of birth : 11-5-65
Marital status
: Married
Married name : NITA TIWARI
Nationality : Indian
Present address
: C/o Dr. Shrish Tiwari
(Home)
E503, BIC
Centre for Cellular and Molecular Biology
Uppal Road, Hyderabad - 500 007
Email : [email protected]
http://www.geocities.com/nitageo/
University academic
: Ph.D. degree awarded in January 1995
record
Jawaharlal Nehru University, New Delhi, India.
Thesis Title : Pattern Formation in Spatially Extended Systems
Thesis Supervisor : Sanjay Puri
M.Phil. Degree in Physics, 1987 (1st div.)
Rani Durgavati Vishwavidyalaya, Jabalpur.
Thesis Title : Vortex Line Solutions of theGinzburg-
Landau theory of Superconductivity
Thesis Supervisor : Gautam Johri.
M.Sc. Degree in Physics, 1986 (1st div.)
Rani Durgavati Vishwavidyalaya, Jabalpur.
B.Sc. Degree in Physics, Chemistry, Pure Mathematics, 1984 (1st
div.)
Rani Durgavati Vishwavidyalaya, Jabalpur
Present position
: Assistant Professor
International Institute of Information Technology
Gachibowli
Hyderabad - 500 019
February 2003 - continuing
Research
interests
: Bioinformatics - DNA sequence analysis, Gene prediction
SNP and Haplotype analysis, proteomics
Characterization and control of Spatio-temporal systems
Phase Ordering Dynamics in binary alloys and polymers
Research experience : 12yrs
Post-Doctoral experience:
1. Experimental modeling studies for multi-phase
polymer processing,
Center for Theoretical and
Computational Materials Science, NIST, Maryland, U.S.A.
June, 00 - May, 01
2. Theoretical studies of population growth under
ecological processes,
Centre for Cellular and Molecular
Biology, Hyderabad
July, 97 - May, 99
3. Design and analysis of chemical reactions/reactors
with complex dynamics from scalar time-series data,
Chemical Engineering Division,
National Chemical Laboratory, Pune
Aug., 94 - June, 97
Industrial Experience : 1 ½ years in bioinformatics as Specialist - Genomics in the Ingenovis division of i-Labs Pvt. Ltd., Hyderabad.
Technical Skills:
Programming Languages : FORTRAN, C and BASIC
Operating Systems : UNIX, MS Windows, Mac OS, VMS
Software
Used
: BLAST, Fasta, Tandem Repeat Finder, Combinatorial Extension
Algorithm for structure superposition
OOF, ABAQUS for mechanicanl properties analysis
MATLAB, SIGMAPLOT
Modeling
: Dynamic Programming algorithms for sequence alignment,
Combinatorial extension algorithms and Least-square minimization
techniques for superposition of protein structures
Statistical analysis in pattern search, identifying SNPs, etc.
Partial differential equations, Monte Carlo (MC) simulations,
Cell Dynamical System (CDS) modeling, Time-series data analysis
Stress-Strain analysis of binary systems
Academic Distinctions:
1. Awarded CSIR Senior Research Associate (SRA) fellowship, September 2001.
2. UGC-CSIR NET cleared, 1997.
3. Best paper award at National Chemical Laboratory, Pune, 1996.
4. Awarded CSIR Research Associate (RA) fellowship, July 1994.
5. Selected
speaker in Theoretical Physics Seminar Circuit (TPSC) programme, 1993.
6. Awarded
CSIR Senior Research Fellowship (SRF), July 1991.
Brief Summary of Research Work
My major area of research has been the study of pattern forming systems - with a view to understand the occurrence and evolution of patterns and control/regulate them in the event of the system exhibiting undesirable behavior. Pattern formation is observed in a wide variety of physical, chemical, biological and engineering systems, and in the past few years I have focused on some of the important problems in this field. A brief description of my work is given below.
Computational Biology and
Bioinformatics
Bioinformatics
Teaching experience: At present I am a faculty at the International Institute of Information Technology and teaching bioinformatics courses to B.Tech/B.C.A students. The courses taught so far include a course in biostatistics and biological databases and sequence analysis tools.
I have worked as a Genomics - Specialist at the bioinformatics division of i-Labs, ingenovis. This division was involved in producing products for the Bioinformatics community. My work involved forming a bridge between the research community and the industry - providing mathematical modeling expertise in the development of the software products, for DNA sequence analysis and proteomic. Some of the algorithms developed are for:
Have worked with the Mathematical modeling group at the Center for Cellular and Molecular Biology (CCMB), Hyderabad. The work involved the modeling of ecological and excitable systems using Coupled map lattices (CMLs) and analyzing the behavior of the dynamics under different parametric situations. The focus of the study was to develop a method to suppress, enhance or induce chaos in spatiotemporal dynamical systems.
Coupled map lattices (CML) are being increasingly used in modeling biological systems as these offer computationally efficient models for the study of spatially extended nonlinear systems. Alterations in the normal functioning of these systems result may their exhibiting undesired dynamical behavior, and thus the analysis and control of spatiotemporal dynamics have important implications in these systems. In a recent study we proposed a simple and novel method involving constant pinnings or perturbations in the spatial domain to regulate the system in a desired dynamical state. By pinning in this manner we actually affect (increase/decrease) the system variable, e.g., the population density of the interacting species in a chemically reacting system, changing voltage in an excitable tissue, etc. The major advantage of this method is that it does not require any a priori information of the system dynamics or its parameters for control. Also, the method can be used either for suppressing spatiotemporal chaos or for enhancing/inducing complex and chaotic oscillations in the dynamics.
Physical and Chemical Systems
Mechanical Properties of Polymers
The project involved the study of macroscopic properties of polymer blends, composites and glassy materials from an analysis of the microstructures - a challenging problem in materials science. It is well known that the performance and properties of devices made from these materials depend crucially on the microstructure that emerges during processing. And the present understanding of the non-equilibrium physics of morphogenesis in these materials is weak. Computer ``experiments'' allow fast, inexpensive and non-destructive prediction of materials properties and behavior. A finite-element code, "OOF" (developed by NIST scientists) was used for analyzing the microstructure and calculating macroscopic properties from micrographs of real materials. For studying the hyperelasticity of the polymer blends, the software tool ABAQUS was used. This was a joint-project of The Institute of Materials Science, University of Connecticut, Connecticut, and Center for Theoretical and Computational Materials Science, National Institute of Standards and Technology (NIST), Maryland, U.S.A.
Characterization and Control of Spatiotemporal Systems
A major part of this work was carried out at Chemical Engineering Division, National Chemical Laboratory (NCL), Pune.
In general the analysis of real experimental situations involve nonlinearity and spatial degrees of freedom. This has led to the study of spatially extended nonlinear systems. The known techniques for the characterization and control of low-dimensional systems are not easily extendable to spatio-temporal systems because of the large degrees of freedom. The need then arises for developing novel methods for the analysis of these high-dimensional systems. We carried out the characterization, synchronization and control of spatiotemporal patterns and spatiotemporal chaos with applications to chemical and biological systems, e.g., chemically reacting systems, coupled population dynamics, spatially extensive excitable media such as cardiac or neuronal tissues.
In a recent study we show that it is possible to characterize and control the full spatiotemporal dynamics in diffusively coupled model systems (both discrete and continuum) by an analysis in spatially localized regions, i.e., sub-systems. The study was carried out on a chemical reaction-diffusion model system with nonlinearity introduced via autocatalytic feedback steps. The major advantage of this method is that it enables considerable reduction in the computational effort, thus making the analysis of spatiotemporal systems practically feasible. The characterization and control method has also shown to work for coupled logistic and henon maps on spatially discrete lattices. Another important problem studied is the control of a special class of spatiotemporal patterns, e.g., spots, which replicate, grow and die as solutions of nonlinear chemical reaction-diffusion systems. The study of these patterns is interesting because of their striking resemblance to the phenomenon of self-replication observed in many important physical, chemical and biological systems, e.g., micelles and reverse micelles, morphogenesis of living cells, and DNA and RNA oligomers.
Phase Ordering Kinetics of Binary Systems
An important problem in non-equilibrium statistical physics is the kinetics of phase ordering which involves the temporal evolution of a homogeneous mixture of a two-phase system rendered thermodynamically unstable by a rapid quench below its critical temperature. The quenched system gradually evolves from the non-equilibrium homogeneous state towards an inhomogeneous thermal equilibrium state consisting of domains rich in the two distinct phases. Our project involved systematically incorporating and studying the role of some experimentally relevant effects, such as, quenched disorders and anisotropic external fields in the dynamics of phase ordering systems. A novel numerical approach based on cell dynamical system (CDS) modeling was used to study the kinetics of domain growth in the presence of quenched disorder. Our results exhibited a slower logarithmic growth of the domains in the presence of disorder in conjunction with the experimental results. In the presence of external anisotropic fields, e.g., gravitational field varying linearly in one direction, we formulated a phenomenological model using mean field approximations. A faster, linear growth of the domains in the direction of the field was observed and the anisotropy was seen to break the dynamical scaling of the structure factor.
New Numerical Scheme for Fisher Equation
A new numerical scheme was proposed for solving nonlinear partial differential equations. We considered the Fisher equation for the study. Because of the nonlinearity, the discretised solution exhibits unstable ad chaotic oscillations, even when there is no chaos in the system. This problem is taken care of by first integrating the local nonlinear function (analytically or numerically) and then incorporating the diffusive process. We show that this new scheme is more stable than the conventional Euler and implicit numerical schemes even for very large space and time discretizations.
Velocity Selection in Coupled Map Lattices
We also studied velocity selection
of travelling wavefronts in discretised Fisher equation and formulated
a discrete analog of the "marginal stability hypothesis" to provide a theoretical
basis of our results. A perturbative approach was carried out to understand
this velocity selection.
LIST OF PUBLICATIONS
1. A New Numerical Scheme for the Fisher Equation,
Nita
Parekh and S. Puri, J. Phys. A 23,
L1085
(1990).
2. Non-algebraic Domain Growth in Random Magnets
: A Cell Dynamical Approach, S. Puri, D.
Chowdhury, and
Nita Parekh, J. Phys. A 24,
L1087 (1991). [PDF]
3. Non-algebraic Domain Growth in Binary Alloys
with Quenched Disorder, S. Puri and
Nita Parekh,
J. Phys. A25, 4127
(1992). [PDF]
4. Non-algebraic Domain Growth for Phase Ordering
Dynamics in a Random Field, S. Puri and
Nita
Parekh,
J.
Phys. A 26, 2777 (1993). [PDF]
5. Velocity Selection in Coupled Map Lattices, Nita Parekh and S. Puri, Phys. Rev. E 47, 1415 (1993). [PDF]
6. Phase Ordering Dynamics in a Gravitational
Field, S. Puri, Nita Parekh
and S. Dattagupta, J. Stat. Phys.
75, 839 (1994).
7. Control of Self-Replicating Patterns in
a Model Reaction-Diffusion System, Nita
Parekh, V. Ravi
Kumar and B.D. Kulkarni,
Phys.
Rev. E 52, 5100 (1995). [PDF]
8. Analysis and Characterisation of Spatio-Temporal
Patterns in Nonlinear Reaction-Diffusion
systems, Nita
Parekh, V. Ravi Kumar, and B.D. Kulkarni,
Physica
A 224, 369 (1996). [PDF]
9. Control of Spatiotemporal Chaos : A Study
with an Autocatalytic Reaction-Diffusion System,
Nita
Parekh, V. Ravi Kumar and B.D. Kulkarni, Pramana
- J. Phys. 48, 303 (1997).
10. Synchronization and Control of Spatiotemporal
Chaos Using Time-Series Data from Local
Regions, Nita
Parekh, V. Ravi Kumar and B.D. Kulkarni, Chaos
8, 300 (1998). [PDF]
11. Global and Local Control of Spatiotemporal
Chaos in Coupled Map Lattices, Nita Parekh,
S.
Parthasarthy
and S. Sinha, Phys. Rev. Lett. 81, 1401 (1998). [PDF]
12. Controlling Dynamics in Spatially Extended
Systems, Nita Parekh
and S. Sinha, Phys. Rev. E. 65,
036227-1 to 9
(2002). [PDF]
13. Controllability of Spatially Extended Systems
Using the Pinning Approach, Nita Parekh
and S. Sinha,
to appear in Physica
A. [PDF]
In Conferences/Symposia :
1. Domain Growth in Disordered and Fractal
Systems, Nita Parekh,
B. Biswal, Puri and D. Chowdhury,
Proceedings of the Solid State
Physics Symposium, Vol. 35-C, (1992) DAE.
2. Phase Ordering Dynamics in Disordered Systems,
Nita
Parekh, S. Puri and D. Chowdhury in
Computational Aspects in
Chaos and Nonlinear Dynamics, eds. G. Ambika and V.M. Nandakumaran
[Wiley
Eastern Limited, New Delhi,
1994], pp. 263-273.
3. Presentation of the Ph.D. thesis titled "Pattern
Formation in Spatially Extended Systems", Proceedings of
the Solid State Physics
Symposium, Vol. 37, (1994) DAE.
4. Phase Ordering Dynamics in a Gravitational
Field, S. Puri, Nita Parekh
and S. Dattagupta, poster
presentation at XIth International
Congress of Mathematical Physics, Paris, France (July 1994).
5. Characterization and control of Spatiotemporal
Chaos : Role of Sub-system Invariants, Nita
Parekh,
V. Ravi Kumar and B.D. Kulkarni,
presented in:
(i) workshop on Recent Developments in Chaotic
Dynamics at Centre for Nonlinear Dynamics, Bharatidasan
University, Tiruchirapalli
(1996);
(ii) International Conference on Dynamical
Systems at Indian Institute of Science, Bangalore (January 1997).
6. Suppression of Spatiotemporal Chaos
in Coupled Map Lattices, Nita Parekh
and S. Sinha in
"Nonlinear Dynamicsand
Brain Functioning", eds. N. Pradhan, P.E. Rapp and R. Sreenivasan [Nova
Science
Publishers, NY, 1999]
7. Suppression of Spatiotemporal Chaos in Coupled
Map Lattices, Nita Parekh,
S. Parthasarthy and S.
Sinha, presented in International
Conference on Nonlinear Dynamics: Integrability and Chaos, Centre for
Nonlinear
Dynamics Bharatidasan University,
Tiruchirapalli (February 1998).
8. Controlling Spatiotemporal Chaos in Excitable
Systems, Nita Parekh
and S. Sinha, poster presentation at
Fifth Experimental Chaos
Conference, Orlando, Florida, USA (June 1999).
Referees :
1. Dr. Somdatta Sinha
Scientist, Mathematical Modelling
Group
Centre for Cellular and Molecular
Biology
Uppal Road, Hyderabad - 500
007, INDIA.
E-mail: [email protected]
2. Dr. C. Suguna
Scientist, Mathematical Modelling
Group
Centre for Cellular and Molecular
Biology
Uppal Road, Hyderabad - 500
007, INDIA.
E-mail: [email protected]
3. Dr. V. Ravi Kumar
Scientist, Chemical Engineering
Division
National Chemical Laboratory
Pune - 411 008, India
E-mail: [email protected]
4. Dr. B. D. Kulkarni
Head, Chemical Engineering
Division
National Chemical Laboratory
Pune - 411 008, India
E-mail: [email protected]
5. Dr. Martin Chiang
Poly A205, Polymer Division
Material Science and Engineering
Laboratory
National Institute of Standards
and Technology (NIST)
Gaithersberg, MD, 20899, U.S.A.
Email:[email protected]