Yaroslav I. Molkov, Ph.D.

Yaroslav I. Molkov, Ph.D.

Assistant Professor of Applied Mathematics

Indiana University - Purdue University Indianapolis
Department of Mathematical Sciences
School of Science Institute for Mathematical Modeling and Computational Science
402 N. Blackford, LD 270, Indianapolis, IN 46202
Office: LD 224U
Email: ymolkov@iupui.edu
Phone: (317) 274-6934
Fax: (317) 274-3460
Skype: yaroslav.molkov

My CV ->

Research and Interests

I am an applied mathematician. I use the methods of the qualitative theory of differential equations and statistical approaches to model and analyze a wide range of physical and biological systems. My main research interests are the reconstruction of dynamical systems from data of different origins. This includes building models from the "first principles" like naturalistic models of neurons and neural networks or (bio)chemical kinetics as well as the data assimilation from noisy time series and other inverse problems.

My current research projects are concerned with the modeling of the neural substrate of the mammalian breathing rhythm patterns. These studies involve multivariate time-series analysis of nerve and unit activities, data assimilation approaches, numerical modeling and simulation, asymptotic methods of dynamical systems reduction, qualitative analysis of dynamical systems, etc. I have solid background in mathematics, physics and computational neuroscience, strong programming skills and a necessary knowledge of the existing physiological data on the respiratory system to successfully carry out the proposed studies, including processing and analysis of experimental data, computer modeling of the neurons, neural networks and large-scale neural systems, and analysis of the models using dynamical system theory. As a postdoctoral fellow in Prof. Rybak's group at Drexel University College of Medicine, I have intensively studied neurophysiology of respiration and significantly contributed to the development of several novel computational models of the brainstem respiratory network. These models constitute a basis for their further extension. In addition, I developed a novel approach to parallel computing for the simulation of large, multi-population neural models and, using this approach, I am implementing our multi-scale respiratory models in the NIH heterogeneous multiprocessor cluster.

My current projects

Past projects ->


Ilya A. Rybak, Ph.D., Drexel University College of Medicine, Philadelphia, PA
Thomas E. Dick, Ph.D., Case Western Reserve University, Cleveland, OH
Jeffrey C. Smith, Ph.D., NINDS NIH, Bethesda, MD
Jonathan E. Rubin, Ph.D., University of Pittsburg, PA
Julian F. R. Paton, Ph.D., University of Bristol, UK
Ana P. L. Abdala, Ph.D., University of Bristol, UK
Daniel B. Zoccal, Ph.D., Federal University of Santa Catarina, Brazil
Anke Borgmann, Ph.D., University of Cologne, Germany
Dmitry Zaretsky, M.D./Ph.D., Indiana University School of Medicine, IN

Recent Publications

Coming Publications

Recent and Coming Presentations

07/2013Computational Neuroscience 2013, Paris, France
Control of breathing by interacting pontine and pulmonary feedback loops
Orexinergic Neurotransmission in Temperature Responses to Amphetamines
04/2013Multiscale Modeling Consortium (MSM) Webinar, NIBIB, NIH, Bethesda, MD
Invited talk: Multiscale Modeling of Neural Control of Breathing
12/2012Mathematical Biology Seminar, Delartment of Mathematics, University of Pittsburgh, PA
Invited talk: Reconstruction of Periodic Synaptic Conductances From Current Clamp Intracellular Recordings
10/2012Neuroscience 2012, New Orleans, LA
Modeling temperature responses to methamphetamine
Synaptic conductances of pre-Bötzinger complex respiratory neurons in vitro and in situ
A computational model of closed loop respiratory control
09/2012The Indianapolis Society for Neuroscience Annual Meeting, Indianapolis, IN
Analysis of excitatory and inhibitory interactions at high temporal resolution in core circuits of the respiratory CPG
09/2012Center of Biological Sciences, Federal University of Santa Catarina, Florianópolis, SC, Brazil
Invited lecture: Respiratory-Autonomic interactions and how modeling can generate new hypotheses
09/2012XLVII Annual Congress of Brazilian Society of Physiology, Gramado, Brazil
Invited talk: Modeling the Respiratory-Autonomic Neural Network
08/2012XIIth Oxford Conference on 'Breathing, Emotion and Evolution', Almelo, Netherlands
Invited talk: Modeling interactions of respiratory CPG with autonomic nervous system
Inhibitory and excitatory synaptic interactions in the pre-Bötzinger and Bötzinger complexes in situ
Sodium and calcium mechanisms of rhythmic bursting in the pre-Bötzinger complex
5-HT receptor-mediated reorganization of the brainstem respiratory network: insights from computational modeling
07/2012Computational Neuroscience 2012, Atlanta/Decatur, GA
Analysis of excitatory and inhibitory interactions at high temporal resolution in core circuits of the respiratory CPG
Modeling Doze-dependent Temperature Responses of Methamphetamine
Modeling Na- and Ca- dependent mechanisms of rhythmic bursting in excitatory neural networks
02/2012Computational and Systems Neuroscience (CoSyNe) 2012, Salt Lake City, UT
Modeling and analysis of rhythm generation mechanisms in excitatory neural networks
02/2012Biomath Seminar, IUPUI, Indianapolis, IN
Reconstruction of synaptic inputs in rhythmically active neural networks from current-clamp intracellular recordings
11/2011Neuroscience 2011, Washington, DC
Modeling and analysis of rhythm generation mechanisms in excitatory networks of brain stem and spinal cord
Reconstruction of synaptic inputs to pre-Bötzinger complex neurons in situ
Computational modeling of serotonin-evoked reorganization of the brainstem respiratory network
11/20115th SFN Satellite Symposium on Motor Systems, National Institutes of Health, Bethesda, MD
Invited talk: Excitatory and inhibitory interactions in core interneuron circuits of the respiratory CPG
10/2011The Indianapolis Society for Neuroscience Annual Meeting, Indianapolis, IN
Sympatho-respiratory coupling: brainstem mechanisms
10/20112011 Multiscale Modeling Consortium Meeting, National Institutes of Health, Bethesda, MD
09/2011Mathematical Neuroscience Seminar, IUPUI, Indianapolis, IN
Rhythm generation mechanisms in excitatory neural networks of the brain stem
07/2011Computational Neuroscience 2011, Stockholm, Sweden
State-dependent control of the respiratory pattern and coupled oscillators (poster)
07/20118th IBRO World Congress of Neuroscience, Florence, Italy
Multiple oscillators for respiratory pattern formation
05/2011SIAM Conference on Applications of Dynamical Systems, Snowbird, UT
Multiple regimes in neuron models with metabotropic glutamate receptors and NaP and CAN currents
04/2011Experimental Biology 2011, Washington, DC
Respiratory-Sympathetic Interactions and Central Baroreflex Pathways: Insights from Computational Modeling
Modeling the effect of central respiratory-sympathetic coupling on the sympathetic nerve activity after chronic intermittent hypoxia
Computational Modeling of Serotonin-Evoked Reorganization of the Brain Stem Respiratory Network
Modeling and Analysis of Rhythmic Activities in Excitatory Networks of the Brain Stem and Spinal Cord
12/2010American Geophysical Union (AGU) 2010 Fall Meeting, San Francisco, CA
Prognosis of qualitative behavior from time series: advantages and limitations of deterministic modeling
Prognosis of qualitative behavior from time series: stochastic modeling framework
11/201040th Annual Meeting Neuroscience 2010, San Diego, CA
Sympatho-respiratory coupling: brainstem mechanisms (poster)
Control of respiratory pattern by interacting pontine and pulmonary feedback loops
11/2010The Fourth Motor Systems Symposium, Salk Institute for Biological Studies, San Diego, CA
Brain Stem Neural Mechanisms for Sympatho-Respiratory Coupling and Baroreceptor Reflex
Emergence of RTN/pFRG Oscillations and their Interactions with the Respiratory CPG
8/2010NHLBI Systems Biology PI meeting, University of California, San Diego, CA
Respiratory-sympathetic interactions: Yet another baroreflex pathway? Insights from computational modeling
5/2010EGU General Assembly 2010, Vienna, Austria
Stochastic reconstruction from time series: predictive framework for critical transition in natural systems
4/2010Workshop "Dynamics of Bursting Activity of Neurons", GSU, Atlanta, GA
Modeling State-Dependent Interactions between BotC/pre-BotC and RTN/pFRG oscillations (poster)
10/2009Neuroscience 2009, Chicago, IL
Generation of Hypercapnia-Evoked Late-Expiratory Activity in a Computational Model of the Respiratory Pattern Generator

Bibliography ->