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Back to Current MBI Seminars
Past MBI Seminars: 2002-2003
MBI Postdoctorate Seminar
Thursday, June 5th, 11:00AM
MBI Lecture Hall - Mathematics Building, Room 240
Speaker: Dr. John J. Enyeart,
Department of Neuroscience, OSU
Title: A model for ion channel-regulated steroid hormone secretion
Adrenocortical cells secrete corticosteroids in response to ACTH released
from the pituitary. Although adrenocortical cells lack Na+-dependent
action potentials, the hallmark of excitable cells, cortisol secretion
depends on depolarization-dependent Ca2+ entry through voltage-gated
Ca2+ channels. A model is presented for cortisol secretion which depends
on the three specific ion channels present in these cells. The model
proposes a novel role for T-type Ca2+ channels.
MBI Seminar
Thursday, May 22nd, 3:30PM
MBI Lecture Hall - Mathematics Building, Room 240
Speaker: Roman Borisyuk,
University of Plymouth
Title: Oscillatory neural models of novelty detection and memory.
Oscillatory neural model (ONM) with traditional Hebbian-like learning
rule for associative memorization of sequences is considered.
ONM of novelty detection which is based on frequency encoding of
input information and oscillatory mechanism of memory formation
will be presented. The adaptation of natural frequencies of network
oscillators to the frequency of the input signal is used as the
mechanism of information memorization. The recognition principle
for familiar stimuli is based on the resonance amplification of
network activity.
A new ONM that combines consecutive selection of objects, attention
focus formation, memorisation, and discrimination between new and
familiar objects has been developed. The model works with visual
information and fulfils the following operations: (1) separation
of different objects according to their spatial connectivity; (2)
consecutive selection of objects located in the visual field into
the attention focus; (3) representation of objects in the working
memory; and (4) novelty detection of objects.
MBI Seminar
Thursday, May 15th, 3:30PM
MBI Lecture Hall - Mathematics Building, Room 240
Speaker: Gustavo Leone, James
Cancer Hospital, OSU
Title: Tumor suppressor function during development and tumorigenesis.
Presentation Materials: PPT
MBI Postdoctorate Seminar
Thursday, May 1st, 12noon
MBI Lecture Hall - Mathematics Building, Room 240
Speaker: Dr. Scott Herness, Oral Biology,
College of Dentistry, OSU
Title: Talking too much? Multiple neurotransmitters and neuropeptides
within the taste bud.
Taste buds are collections of 50 to 100 individual taste receptor
cells (TRCs). These cells detect the presence of chemical stimuli
within the oral cavity and relay this information to the central
nervous system via synaptic connections with afferent nerve fibers.
The "historical" view of this process describes a single TRC as
becoming depolarized when stimulated by tastants by elusive transduction
mechanisms and subsequently releasing transmitter onto the afferent
nerve. Many TRCs were known not to synapse with the afferent nerve
fibers and were believed to be supporting cells. Recent developments
in the physiology and molecular biology of TRCs have made it clear
that this view is no longer tenable. Classes of recently cloned
taste receptor molecules for bitter and sweet stimuli and related
transduction enzymes have been localized to TRCs that lack synapses
to the afferent nerve. How then do these cells, which possess the
machinery to respond to taste stimuli, relay this information to
the central nervous system? Our laboratory has discovered several
signaling pathways endogenous to the taste bud that can serve as
mechanisms for cell to cell communication among the TRCs of the
bud. These include classic neurotransmitters, such as norepinephrine
and serotonin, and neuropeptides, such as cholecystokinin. For the
most part, it appears that certain subsets of TRCs express a signaling
agent while other subsets of TRCs express a receptor for this agent.
As well, physiological responses can be measured to exogenous application
of these agents. Thus these pathways may serve unrecognized manners
of information processing and modulation of the gustatory signal
prior to afferent nerve stimulation.
MBI Seminar
Thursday, May 1, 4:30pm
MBI Lecture Hall - Mathematics Building, Room 240
Speaker: Monica K. Hurdal,
Department of Mathematics, Florida State University
Title: Discrete conformal maps of the human brain: Mathematical
and computational challenges.
The cortical surface of the human brain is a highly folded, convoluted
structure that is 3-5 mm thick and topologically equivalent to a
sheet. Most of the functional processing of the brain occurs on
this sheet. However, the folding patterns vary considerably between
individuals in terms of the shape, depth, length and location of
the folds. As a result, neuroscientists are interested in 2D analysis
methods and tools for comparing function and anatomy across subjects
which can take into account some of this individual variability.
I am using methods from complex analysis, computational geometry,
topology and image processing to "unfold" and "flatten" the cortical
surface of the brain. While it is impossible to create areal or
length preserving maps of a highly convoluted surface such as the
brain, the Riemann Mapping Theorem describes the existence of conformal
maps. I will discuss methods and theory from the area of "circle
packings" which I am using to create approximations to discrete
conformal maps of the brain. I will discuss some of the computational
and topological issues that arise and how I am imposing coordinate
systems on these maps. I will show some of the brain maps that I
have created and discuss collaboration results with neuroscientists
who are interested in depression, schizophrenia and Alzheimer's
diseases.
MBI Seminar
Tuesday, April 29th, 4:30pm
MBI Lecture Hall - Mathematics Building, Room 240
Speaker: Dr. Roman Borisyuk,
University of Plymouth
Title: Oscullatory neural netwok models of cognitive functions.
Presentation Materials: PPT
Oscillatory Neural Networks (ONN) will be described and compared
with other NN paradigms. ONN models of attention and novelty detection
will be presented. These models are based on principle of synchronization
of neural activity which is a very powerful principle of computational
neuroscience.
MBI Postdoctorate Seminar
Thursday, April 24th, 10am
MBI Lecture Hall - Mathematics Building, Room 240
Speaker: Dr. Andrej Rotter,
Department of Pharmacology, The Ohio State University
Title: Cerebellar structure, function and development: Opportunities
for mathematical modeling.
The cerebellum is a region of the central nervous system responsible
for the coordination of complex motor movements. It consists of
bilaterally symmetrical nuclei surrounded by a highly convoluted
cortex. Numerous anatomical, physiological and biochemical studies
have resulted in a detailed description of its cellular and molecular
components, circuitry and sequence of developmental events. Nevertheless,
despite the wealth of descriptive data, our understanding of the
rules and relationships leading to the formation of the cerebellum
and to the acquisition of its functional properties is lagging behind.
In this presentation the current state of our knowledge concerning
the cerebellum will be outlined and potential opportunities for
mathematical modeling will be suggested.
MBI Postdoctorate Seminar
Thursday, April 17th, 10:30am
MBI Lecture Hall - Mathematics Building, Room 240
Speaker: Dr. Sharon Crook,
University of Maine
Title: Modeling Structure and Function in a Sensory System
In this research, we use methods from information processing to constrain
neural models in an attempt to capture not only the dynamics of a
system but also its computational function. We study the cricket cercal
sensory system, a model system that mediates the detection and analysis
of low velocity air currents. The input to the system is represented
in an afferent map which encodes sensory stimuli in spatiotemporal
patterns of activity. We are able to predict the dynamic patterns
of activity that emerge from the ensemble in response to different
stimuli. We use these predicted activity patterns to study how interneurons
extract sensory information at the next layer of processing. Our main
goal is to determine the biophysical mechanisms that implement the
encoding schemes in this sensory system.
MBI Postdoctorate Seminar
Thursday, April 10th, 10:30am-12noon
MBI Lecture Hall - Mathematics Building, Room 240
Speaker: Dr. Andrew B. Nobel, Department of
Statistics, University of North
Carolina at Chapel Hill
Title: A Brief Overview of Cluster
Analysis and its Application
to Gene Expression Arrays
In this (informal) talk we will present a brief overview of cluster
analysis, and discuss its application to the diagnosis of breast
cancer using gene expression (micro) arrays. The talk will present
some common clustering algorithms, and describe several statistical
problems that arise in the application and interpretation of clustering
methods
Weekly Postdoctorate Seminar/Discussion Group:
Thursdays 10am-12noon
MBI Lecture Hall (MA 240) or Conference Room (MA 222)
Speaker: Dr. Michael Beattie, Department of Neuroscience
Title: Tumor necrosis factor affects both excitatory synaptic transmission
and
excitotoxic neuronal cell death.
Thursday, March 13th, 2003; 11:00AM
MBI Lecture Hall - Mathematics Building Room 240
This seminar is based on converging evidence from two very different
experimental systems that involve glutamate as a neurotransmitter,
and as an excitotoxic agent that kills neurons after injury.
Much of the excitatory synaptic transmission in the CNS is mediated
by glutamate through post-synaptic receptors that open ion channels
in response to glutamate release. Recent evidence suggests that
changes in excitability at these synapses such as those that occur
in long term depression (LTD) or potentiation (LTP) are due, in
part, to rapid changes in the number of receptors located at the
synapse due to modulation of receptor recycling.
Extracellular glutamate increases rapidly after injury to the CNS,
and very high levels can cause neuronal and glial death by increasing
intracellular Ca++ to toxic levels. Tumor necrosis factor-alpha
(TNF) is an inflammatory cytokine that is released by immune cells
and can induce necrotic and apoptotic death in target cells. After
injury to the CNS, TNF levels increase markedly, and TNF has been
thought to be a possible mediator of secondary cell death after
stroke, spinal cord injury (SCI), and also in multiple sclerosis
(MS). TNF also seems to increase glutamate actions in a brainstem
circuit mediating gastric motility (Emch, Hermann, and Rogers, 2000).
We tested the hypothesis that TNF and glutamate might interact after
SCI by making nano-injections of TNF or the glutamate agonist kainic
acid (KA) into the spinal cord gray matter either alone or together
(Hermann et al, 2001). Low doses or either agent produced no cell
death; together, they killed large numbers of neurons within 90
minutes. This potentiation of cell death was completely blocked
by CNQX, which is an antagonist at AMPA-type glutamate receptors.
This suggested that TNF might in some way be altering AMPA-R excitability.
To test this, we engaged the help of collaborators at Stanford
and applied TNF to hippocampal neurons in culture (E. Beattie et
al, 2002). 15 minutes after application of TNF, AMPARs on the surface
of dendrites increased dramatically. Whole cell patch clamp showed
a concomitant increase in spontaneous excitatory post-synaptic currents.
Reduction of endogenous TNF by antibody treatment reduced AMPAR
surface expression and epsc's. Experiments in hippocampal slice
also showed a role for TNF in modulating synaptic activity. We showed
that changes in extracellular K+ changed both AMPAR surface expression
and susceptibility of cerebellar granule cells to excitotoxic cell
death (Ha et al, 2002). Thus it appears that modulation of AMPARs
by TNF (and other agents) may be involved in both synaptic plasticity
(and learning?) and the induction of cell death. There are some
therapeutic implications of these findings.
Speaker: Dr. Karl Obrietan, Department of Neuroscience
Title: MAPK signaling and light-induced resetting of the circadian
clock.
Tuesday February 25th, 2003; 10:30 AM
MBI Lecture Hall - Mathematics Building Room 240
Circadian rhythms of behavior and physiology are observed in a
variety of organisms. In mammals, the suprachiasmatic nuclei (SCN)
of the hypothalamus function as the major biological clock. The
inherent pacemaker activity of the SCN can be effectively regulated
by changes in the environmental light cycle. This allows an animal
to synchronize its internal clock with the ever-changing light cycle
encountered over a seasonal/yearly basis. What are the cellular
events that allow light to affect clock timing? Recent work has
revealed that coordinated transcriptional oscillations are required
for circadian rhythm generation and that light-activated signaling
events entrain the clock by resetting transcriptional rhythms. Given
these observations, a characterization of the intracellular signaling
pathways and downstream transcription factors activated by light
will be critical for understanding the functional properties of
the circadian clock. I will present data examining the role of the
p42/p44 mitogen-activated protein kinase (MAPK) signal transduction
pathway as a cellular signaling intermediate that couples light
to circadian clock entrainment. If there is time left over, I will
also present data looking at mechanisms of Ca2+-induced gene expression
in
cortical neurons.
Speaker: Raghu Raghavan,
Title: "Direct infusion in brain tissue: from start to finish"
Wednesday February 5th, 2003; 4:30 PM
MBI Lecture Hall - Mathematics Building Room 240
Intra-parenchymal (i.e. directly into tissue) injection and transport
of drugs and other agents to treat tumors and neurodegenerative diseases
are being studied both theoretically and experimentally. The talk
is divided into three parts. In the first, we discuss the phenomena
that occur, and how to observe them principally via magnetic resonance
imaging (MRI). In the second part, we review the status of the initial
experiments we have undertaken in checking the predictions. Finally,
we discuss how we model the phenomena, obtain the input parameters
needed for the calculation, and solve the resulting equations.
Speaker: Gheorghe Craciun - Post-Doctorate Seminar/Discussion
Group
Title: "Recent results in chemical reaction network theory
and applications in cell biology"
Thursday February 6th, 2003; 11:00AM
MBI Lecture Hall - Mathematics Building Room 240
We describe the general setting for chemical reaction network theory
based on mass-action kinetics. Recent methods are able to draw conclusions
about the dynamics of the chemical composition, even in the absence
of specific information about the reaction rate parameters. We present
some of these methods and connections to cell and molecular biology.
Speaker: Chris Fall
Title: "Mitochondrial Modulation of Intracellular Ca2+ Signaling"
Thursday February 6th, 2003; 2:30 PM
MBI Lecture Hall - Mathematics Building Room 240
Speaker: Raghu Raghavan,
Title: "Physical models for brain cortical growth and folding"
Friday February 7th, 2003; 1:30 PM
MBI Lecture Hall - Mathematics Building Room 240
The computation of shape change from physical principles, or morphodynamics,
is an interesting problem in developmental biology. After a brief
introduction, the talk will consist of three parts. In the first,
a continuum model for the folding of brain cortical contours, in
which growth is induced by a change in reference metric will be
presented; with suitable constraints, this model gives rise to a
variety of shapes akin to those actually seen. In the second part,
the inverse (control) problem of estimating a time-dependent reference
metric from initial and final data is used to match cortical contours,
and is compared with an active contour method. Finally, the "symmetry"
aspect of the growth will be discussed, and it is proposed that:
a symmetry analysis of an equivalence class of models in the spirit
of Sophus Lie may provide a useful taxonomy of such patterns, and
that the domains of pseudogroups as the objects of symmetry breaking
will be of interest in future mathematical developments. An integration
of physics with biology in such fields will provide for a new discipline
which we may call bioformatics.
References
Physical modeling in biomedical computing: a research agenda
Raghu Raghavan
Center for Information-enhanced Medicine (Ciemed) Internal Report,
22 pages, unpublished, July 1994
http://www.iemed.com/Aboutus/people/raghu/presentations/PM.pdf
A continuum-mechanical model for cortical growth
Raghu Raghavan, Wayne Lawton, S.R.Ranjan and R.R. Viswanathan
Journal of Theoretical Biology, Vol. 187, pp. 285-296, 1997
Form from growth: a mechanical model for cortical development and
its control
R. Raghavan, W. Lawton, S.R.Ranjan and R.R Viswanathan
Ciemed Internal Report, 9 pages, unpublished, April 1997
Corticography, Jacobi fields, and symmetries.
R. Raghavan
In preparation
Speaker: Prasun Roy, National Brain Research Centre
Title: "Stochastic transition and stochastic resonance as an
enhancement technique for biomedicine: Using noise to defeat noise"
Wednesday February 5th, 2003; 2:30 PM
MBI Lecture Hall - Mathematics Building Room 240
Noise or fluctuations has traditionally been regarded as a nuisance,
interfering with the signal or information processing, and so efforts
have been made to minimize the noise. The recent discovery of the
noise-induced activation or ordering shows that under certain circumstances,
noise can in fact dramatically help the performance or processing
in systems.. Two of the common types of noise-activated processes
are delineated, namely stochastic resonance and stochastic transition
(noise-induced transition). Research on this paradoxical phenomenon
and its applications has become virtually an paradigm-setter in the
mathematics, physics and neuroscience.
We develop an algorithm for analysing perturbation-induced stability-instability
properties of systems and such a technique may be used to actuate
a noise-induced activation in various biological/clinical systems.
Stochastic enhancement in neural, immunological, chemical and radiological
processes is shown. We describe the mathematical analysis and experimental
findings of such activation in biological/neural processes and elucidate
applications towards diagnosis and therapy, in neurology, radiology
and oncology, with special applications for management to brain lesions.
The associated phenomenon of non-equilibrial de-stabilization of a
pathological system under artificially engineered perturbation, is
analysed in terms of Prigogine-Glansdorff Stability Theorem and we
explore a computational model of fluctuational transitions in complex
systems in general.
References:
Belair, J, Glass, L, Heiden, U, Milton, J, (1997). Dynamical Disease:
Mathematical analysis of human illness, American Institute of Physics,
New York.
Collins, J, Gregg, P. (1997). Noise-mediated enhancements and decrements
in human sensation, Phys Rev E, 56, 923-26.
Glass, L. (2002). Synchronization and rhythmic processes in physiology,
Nature, 410, 277-84.
Horsthemke, W., Lefever, R (1994). Noise induced transitions in
physics and biology, Springer, Berlin-N.Y.
Hahn, H, et al (1974). Threshold excitations and effect of noise
in an enzyme system, PNAS, 71, 4067-71.
Miller, J & Levin, R,. Stochastic resonance in neurone, Nature
380, 165-168, 1996.
Paulsson, J, Berg, O, Ehrenberg, M. (2000). Stochastic Focussing:
Fluctuation-enhanced sensitivity in cellular regulation, PNAS. 97(13),
7148-53,.
Roy, P, Kozma, R, et al (2002). >From Neurocomputation to Immunocomputation:
A method and algorithm for fluctuation-induced instability in biological
systems, IEEE Trans. Evolutionary Computing, 6(3), 1-14, 2002.
Roy, P. et al (2000). Tumour Stability Analysis, Kybernetes: Intl
J of Systems Science, 29, 896-926.
Simonotto, E, et al, (1997). Visual perception of stochastic resonance,
Phys Rev Lett 78:1186-88.
Speaker: Cameron McIntyre,
Title: "Computational Modeling of the Effects of Deep Brain
Stimulation"
Monday February 3rd, 2003; 4:30 PM
MBI Lecture Hall - Math Tower Room 154
Deep brain stimulation (DBS) represents a dramatically effective treatment
for clinically intractable movement disorders such as essential tremor
and Parkinsons disease; however the underlying mechanisms of
its therapeutic action are unknown. The goal of my research program
is to develop a systems level understanding of the effects DBS using
detailed computer modeling techniques. My work couples the results
of functional imaging and basic neurophysiology to computer models
of extracellular electric fields and their effects on the nervous
system. These models consist of three basic stages. The first step
is the development of 3D finite element models of the electric field
generated by DBS electrodes where the electrical properties of the
tissue are based on diffusion tensor MRI. The second step is coupling
the electric field to 3D reconstructions of neurons surrounding the
electrode where the ion channel biophysics of the neuron models are
based on experimental data. The outcome of steps 1 & 2 are predictions
on the volume of tissue surrounding the electrode that are affected
by the stimulation. The final step is then to apply those stimulation
effects to large scale neuronal network models of the thalamo-cortical-basal
ganglia system that DBS modulates thereby providing experimentally
testable hypotheses on the effects of stimulation in the different
nuclei of the network. In addition, the results of this work can be
coupled to PET/fMRI to provide a contiunum from the single cell to
the network to the behavior.
Speaker: Anthony Brown, Ohio State University
Title: "The Mechanism of Slow Axonal Transport"
Thursday January 30th, 2003; 4:30 PM
MBI Lecture Hall - Mathematics Building Room 240
Speaker: Benjamin Rubin, California Technical Institute
Title: "Odor discrimination in the rat: The role of spatial
activity patterns in the olfactory bulb"
Thursday January 23rd, 2003; 4:30 PM
MBI Lecture Hall - Mathematics Building Room 240
Speaker:Sanjay
Danthi
Title: ""A potassium channel underlying cortisol secretion
in adrenocortical cells"
Wednesday 12/4 12:30-1:30pm
MBI Lecture Hall - Mathematics Building Room 240
Adrenal Zona Fasciculata (AZF) cells in the adrenal cortex secrete
cortisol in response to ACTH, a hormone released by the pituitary
gland. ACTH acts by depolarizing these cells leading to Ca+2 influx
through T-type Ca+2 channels, which subsequently causes Ca+2 dependent
cortisol release. Our laboratory has discovered an ATP activated,
non-inactivating background K+ channel (Iac/TREK-1/KCNK2) in bovine
AZF cells that serves to set the resting membrane potential of the
cell (Mlinar et al, 1993; Enyeart et al, 1997). ACTH inhibits this
channel at physiological concentrations leading to membrane depolarization
(Mlinar et al, 1993). Thus our laboratory has identified the link
between ACTH and cortisol secretion. In my talk I will discuss some
of the important properties of this channel such as nucleotide dependence,
agonists and antagonists and its cloning (Xu and Enyeart, 2001;
Enyeart et al, 2002.). I will also briefly talk about some of the
electrophysiological techniques that I have used in my work such
as whole cell and single channel patch clamp recordings. Finally
I would mention our idea of modeling the ionic currents in the bovine
AZF cells to generate a model that would identify possible membrane
potential oscillations and help determine the voltage dependent
entry of Ca+2 into the cell necessary for optimal release of cortisol.
References:
1. Mlinar B, Biagi BA, Enyeart JJ. A novel K+ current inhibited
by adrenocorticotropic hormone and angiotensin II in adrenal cortical
cells. J Biol Chem. 1993 Apr 25; 268(12): 8640-4.
2. Enyeart JJ, Gomora JC, Xu L, Enyeart JA. Adenosine triphosphate
activates a non-inactivating K+ current in adrenal cortical cells
through nonhydrolytic binding. J Gen Physiol. 1997 Dec; 110(6):
679-92.
3. Xu, L and Enyeart JA. Properties of ATP-dependent K+ channels
in adrenocortical cells. Am J Physiol Cell Physiol. 2001 Jan; 280(1):
C199-215.
4. Enyeart JJ, Xu L, Danthi S, Enyeart JA. An ACTH- and ATP-regulated
background K+ channel in adrenocortical cells is TREK-1. J Biol
Chem. 2002 Oct 3 (In Press)
Speaker: Fernand Hayot, Mathematical Biosciences Institute, The
Ohio State University
Title: "Corticothalamic feedback in the visual system."
Tuesday December 3rd, 2002; 4:30 PM
MBI Lecture Hall - Mathematics Building Room 240
"I describe a model of feedback from the primary visual cortex
to the lateral geniculate nucleus, and use it to study the sensitivity
to orientation discontinuity of lateral geniculate relay cells. I
compare with experimental results and make a number of testable predictions."
Speaker: Scott Hooper, Ohio University
Title: A time for lobsters: Insights into the interpretation and
production of long time-scale patterns from a small, well-defined
system
Tuesday November 26, 2002; 4:30 PM
MBI Lecture Hall - Mathematics Building Room 240
The inputs that nervous systems receive, and the outputs they produce,
vary over a wide range of time scales. For instance, music commonly
requires producing (for the musician) and interpreting (for the listener)
tone intervals that vary at least a sixteen-fold (16th vs. whole notes).
Membrane conductance time constants vary over a thousand-fold range
(msec to sec). This wide temporal range suggests that individual neurons
could have complex inherent responses to varying temporal input. Experiment
and modeling we have performed in the lobster pyloric neuromuscular
system support this hypothesis. First, the pyloric network produces
a phase constant output over a five-fold cycle period range, and this
property depends in part on individual network neurons being able
to 'measure' input cycle period. These neurons provide mechanisms
both for producing the 'same' motor pattern over a wide period range
(fast vs. slow walking) and for identifying all rhythmic on-off patterns
(e.g., music beat lines). With slight modification, models of these
neurons can also reproduce the known duration sensitive neurons (which,
among other things, allow us to analyze music melody). Second, pyloric
muscle relaxation time constants are much longer than pyloric cycle
period. The muscles consequently demodulate slow modulations in pyloric
network activity imposed by other networks, and therefore largely
to exclusively contract in time with these other, non-innervating,
networks. Different muscles can extract different frequency bands,
and hence contract with different modulating networks, even when driven
by identical input. Different intracellular second messenger systems
have different time constants, and thus should similarly selectively
respond to different frequency bands in broad band input. These observations
suggest that, although network-based mechanisms are undoubtedly important,
individual neurons can perform relatively complicated analyses of
patterned temporal input. The presence of such neurons in neural networks
complicates the effects and analysis of network response to entraining
input (i.e., when is simple phase oscillator coupling theory appropriate),
and I will also present our beginning work on this subject.
Speaker: Dominique M. Durand, Dept of Biomedical Engineering and
Neurosciences , Neural Engineering Center, Case Western Reserve
University
Title: Noise can improve signal detection in hippocampal synapses
Tuesday 11/12 4:30pm
MBI Lecture Hall - Mathematics Building Room 240
Stochastic Resonance (SR) is a phenomenon observed in nonlinear systems
whereby the introduction of noise enhances the detection of a subthreshold
signal for a certain range of noise intensity. SR has been observed
in many physical and mathematical systems. The nonlinear threshold
detection mechanism that neurons employ and the noisy environment
in which they reside make it likely that SR plays a role in neural
signal detection. While the role of SR in sensory neural systems has
been studied, its function in central neurons is unknown. In many
central neurons, such as the hippocampal CA1 cell, very large dendritic
trees are responsible for detecting neural input in a noisy environment.
Attenuation due to the electrotonic length of these trees is significant,
suggesting that a method other than passive summation is necessary
if signals at the distal ends of the tree are to be detected. The
hypothesis that SR is involved in the detection of distal synaptic
inputs was first tested in a computer simulation of a CA1 cell and
then verified with in vitro rat hippocampal slices. The results strongly
showed that SR can enhance signal detection in CA1 hippocampal cells.
High levels of noise were found to equalize detection of synaptic
signals received at varying positions on the dendritic tree. The amount
of noise needed to evoke the effect is comparable with physiological
noise in slices and in vivo. Computer simulations show that the phenomenon
is enhanced in neuronal networks. Therefore both computer simulations
and experiments suggest an important role for stochastic resonance
in neuronal signal processing.
Speaker: Geraldine
Wright
Title: "Sensory Coding of Olfactory Stimuli"
Wednesday 11/13 12:30-1:30pm
MBI Lecture Hall - Mathematics Building Room 240
The olfactory system must be able represent a highly variable stimulus
in such a way that an animal may recognize similar stimuli and discriminate
among dissimilar ones. How an animal generalizes from its experience
of an odor mixture to a new experience with another odor mixture
may depend on the perceptual similarity of the mixtures. I will
discuss behavioral and physiological evidence for odor coding in
the olfactory system of insects. I will also discuss my research
plans for my time as a postdoc at the MBI.
Speaker: Martin Wechselberger
Title: "Studying relaxation oscillators using geometric singular
perturbation theory"
Wednesday 10/30 12:30-1:30pm
MBI Lecture Hall - Mathematics Building Room 240
Relaxation oscillations (RO), a highly nonlinear type of oscillation,
are found in many biological, chemical, physical and neuronal problems.
The characteristic feature of RO is a repeated switching between
fast and slow motions. We will study the well known forced van der
Pol oscillator, a model for a triode circuit. This oscillator exhibits
all kinds of dynamical behaviour from synchronization up to 'chaos'.
We will explain some of these properties by using techniques from
dynamical systems, especially geometric singular perturbation theory
(GSPT).
Speaker: Alla Borisyuk
Title: "Mathematical modeling of neural responses in the auditory
midbrain to dynamic stimuli"
Wednesday 10/30 12:30-1:30pm
MBI Lecture Hall - Mathematics Building Room 240
We develop minimal computational models to investigate how intrinsic
cellular mechanisms can modify responses to dynamic sounds. Our
models are based on experimental data, recorded from phase-disparity-sensitive
neurons in auditory midbrain. I will talk about the experimental
background of this work, describe our models, and show the results
and their connection with experimental work.
Speaker: Hans Plesser
Title: Efficient Simulation Methods for Large Stochastic Processes
Thursday 10/24 9:30am
MBI Lecture Hall - Mathematics Building Room 240
Reaction-diffusion systems, complex biochemical reaction chains,
population dynamics, and many more natural phenomena are stochastic
processes in which many different events can occur at any time.
The simulation of such systems is a formidable task, and I will
present some algorithms that allow for the efficient simulation
of large systems of stochastic processes.
Briefly, the idea is to use Gillespie's algorithm to determine
the time interval between any two events, and then use logarithmic
classification of possible events to determine efficiently which
event occurs at any one time step. Utilizing proper data structures,
this classification and selection scheme can be implemented in a
highly time-efficient manner (Fricke and Wendt, 1995).
I will give an introduction into the ideas underlying the logarithmic
classification algorithm and give a brief tutorial on how to use
the logarithmic class library in simulation code.
Preprint versions of papers explaining the algorithms, source code
implementing logarithmic and discrete classes, and a sample program
simulating a Lotka-Volterra-style model, is available as the Markov
Classes Package
Speaker: Katarzyna
Rejniak
Title: A computational model of the mechanics of growth of a trophoblast
tissue
Wednesday 10/23 12:30-1:30pm
MBI Lecture Hall - Mathematics Building Room 240
Results of clinical research show strong connections between appearance
of deep invaginations of the trophoblast tissue and pregnancy complications.
Because the trophoblast tissue grows only by cell proliferation
and fusion, it is important to analyse how the initiation of these
processes can cause the tissue to bend. In my talk, I will show
how the trophoblast tissue can be modeled using the immersed boundary
method and will present simulations of tissue development, along
with comparisons with clinically obtained results.
Speaker: Peter
Jung
Title: The benefit of ion channel clustering for intracellular calcium
signaling
Tuesday 10/22 4:30pm
MBI Lecture Hall - Mathematics Building Room 240
Ion channels and receptors in the cell membranes and internal membranes
are often distributed in discrete clusters. One particularly well
studied example is the distribution of inositol 1,4,5-triphosphate
receptors in the plasma membrane that controls the flux of Ca2+
from the endoplasmic reticulum into the cytosol. By using mathematical
modeling, we show that channel clustering can enhance the cell's
Ca2+ signaling capability.
Furthermore, we predict optimal signaling cellular capability at
cluster sizes and distances that agree with experimentally found
values in Xenopus oocyte.
Speaker: Carl van Vreeswijk
Title: The Collective Dynamics in Networks of Simple Neurons
Tuesday 10/22 1:30pm and Wednesday 10/23 1:30pm
MBI Lecture Hall - Mathematics Building Room 240
Speaker: Daniel
P. Dougherty
Title: "Semi-mechanistic Modeling: Simplifying Complex Fermentation
Microbiology."
Wednesday 10/2 12:30-1:30pm
Cockins Hall, Room 228
Microbial fermentations, no matter whether they take place in "defined''
growth media or out in nature, occur in complex dynamic environments.
The purpose of this talk will be to discuss a predictive modeling
approach which handles this complexity while maintaining a mathematically
tractable modeling framework. During this talk, the semi-mechanistic
approach will be introduced by a few examples. Some basic fermentation
microbiology will be provided and the approach will be applied to
the study of acid tolerance in lactic acid bacteria growing in a
complex medium. The work presented here may have application to
other areas of research where dynamic alterations in chemical buffering
are important.
Speaker: Hans
Plesser
Title: Signal Processing in Noisy Neurons: Methods and Results
Tuesday October 1st 4:30pm
Cockins Hall, Room 332
I will present some of the methods I developed during my PhD-work
for the study of stochastic resonance in leaky integrate-and-fire
neurons. Specifically, I will present Markov-chain based methods for
the calculation of the power spectral density of spike trains evoked
by sinusoidal stimuli. Based on these methods, I will investigate
the influence of signal frequency and background noise on the signal-to-noise
ratio of the neuronal response, and discuss some scaling properties.
If anyone would like a preview, some material is available on my
website
http://arken.nlh.no/~itfhep/publications.html
especially items 14, 7, and 8, or my opus magnum, nr 13, if you
want it all in color and detail.
If anyone had an idea on how to prove that the interspike-interval
density of the leaky integrate-and-fire neuron driven by sinusoidal
input and Gaussian white noise is strictly positive for t>0 (except
possibly at isolated points), I'd be very happy about suggestions.
The proof in Section 2.2.3 of my thesis is, unfortunately, badly
flawed.
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