From
June 16-27, 2003 the IMA will host a two-week intensive short
course designed to efficiently provide mathematicians the basic
knowledge prerequisite to undertaking interdisciplinary research
in the burgeoning field of mathematical biology at the cellular
level. The course in Cellular Physiology will be taught
by James Keener, Professor of Mathematics and Adjunct Professor
of Bioengineering at University of Utah and author of the award-winning
text Mathematical Physiology and Alexander Mogilner,
Professor and Chancellor's Fellow at the Department of Mathematics
and Center for Genetics and Development at University of California
at Davis. Participants will receive full travel and lodging
support during the workshop.
Participants
will gain an understanding the key mathematical issues in the
topic, some familiarity with the relevant literature, ideas
about problems to whose resolution they can contribute, and
the basic knowledge necessary to initiate meaningful interdisciplinary
collaborations in the field.
Short
Course: Cellular Physiology, June 16-27, 2003
Cellular
physiology is an area in which mathematical techniques are greatly
needed and research opportunities abound. It is a vital
part of the rapidly growing field of mathematical biology.
The
goal of the course will be to prepare qualified participants
to start collaborative interdisplinary research in the area.
The course has two main components. One component deals
with the science of mathematical biology, and covers
The modern state of mathematical biology with emphasis on
application in molecular and cell biology and physiology;
The mathematical tools ubiquitous in modern mathematical biology;
Prominent success and failure cases in mathematical biology.
The
second component is designed to provide the participants with
the 'soft skills' needed to in a multidisciplinary research collaboration,
and involves
Presentations on the style mathematical modeling appropriate
and necessary in modern computational biology;
Problems solving session in which the participants are engaged
in modeling of typical cell biological phenomena.
The
overall goal of the course will be to familiarize the participants
with specific mindset and style of the field of the modern mathematical
biology, and to enable them to start working in the field on their
own. The overall structure of the course will be three lectures
per day (two in the morning, one after lunch) followed by a working
problem solving/discussion.
An
important feature of this course will be the problem solving
sessions. For these the instructors will choose several
biological problems from "hot" fields (e.g., signal transduction,
biochemical regulation), collectively identify corresponding
modeling problems, "brain-storm" the model, formulate model
equations and delineate their solutions, analyze the solutions
together. An attempt will be made so that these sessions represent
a realistic demonstration of the interaction between theoreticians
and experimentalists.
Additional
lectures, meant to provide the participants with valuable insights
into the field, are more informational in nature,
and will be more in the format of discussion sessions. An invaluable
part of the program will be informal discussions with the participants,
in which the instructors will help them to bridge their own
current mathematical research with biological applications and
suggest ways to find collaborators and new topics.
Textbook
resources for this material:
J. Keener and J. Sneyd, Mathematical Physiology, Springer
1998,
C. Fall, E. S. Marland, J. M. Wagner, and J. J. Tyson, Computational
Cell Biology, Springer, 2002.
Local
arrangements
The
participants of the short course and the instructors will be
housed at one of the University of Minnesota's dormitories.
Meals will be served at the the dormitory dining facility.
Each participant will be provided with shared office space including
an individual computer workstation. Lectures and problem-solving
sessions will use the IMA's classroom, multimedia, and computer
facilities. There are expected to be visits to relevant
laboratories on the University of Minnesota campus.
Selection
Process:
The criteria used in selecting the 25 successful applicants
include:
Excellence of the applicant's scientific backgrounds and accomplishments;
The level of commitment of the applicant to redirection of
his/her research profile;
The soundness of the research plan for the year in view of
the candidate's background and goals;
The potential broadening of and impact to the applicant's
research program;
The potential of the visitor to contribute to the advance
of science in new areas in the years following the visit;
The visitor's plans for follow-up activities both in research
and education; and
The
potential of the applicant to contribute to the IMA program.
Growth
cone motility and guidance,
Kathryn
TosneyMolecular, Cellular and Developmental
Biology Department, University of Michigan, Ann Arbor, MI 48109
Abstract:
The "growth cone" is the pathfinding organ of the neuron.
It is the motile tip of the neuronal axon. It extends cellular
processes, filopodia (dynamic cellular extensions containing
actin bundles), that are essential for the axon to navigate
to its proper destination. Little is known about the dynamics
or signaling mechanisms, although a first step in initiating
signal cascades is often filopodial adhesion. In contrast
to the general assumption that all cell-substrate adhesions
play equivalent roles, our studies establish that adhesions
made by individual filopodia can mediate different and distinctive
functions. The roles of filopodia and their adhesions in motility
and guidance will be reviewed in this talk.
Adhesions
at three sites in individual filopodia were found to have
dissimilar functions. Tip adhesions suffice to signal. Adhesions
made by single filopodial tips can initiate signal cascades
that systematically alter cytoskeletal dynamics. Alterations
are discrete, robust, and suffice to mediate specific growth
cone turning behaviors. Basal adhesions form at nascent filopodial
bases before filopodia emerge, remain at bases throughout
filopodial lifetimes, and function in filopodial emergence
and dynamics. They specifically associate with "focal rings,"
newly described organelles that link actin bundles to the
basal adhesion and thereby mediate substrate anchorage. Focal
rings also develop in Schwann cells and other cell types.
Shaft adhesions lie along filopodial shafts, lack focal rings,
and control the extent of lamellar ("veil") advance. Shaft
adhesions inhibit veil advance. Veils are unaffected by basal
adhesions, but readily advance along filopodia until they
encounter shaft adhesions, where they stop advancing. Most
intriguing, navigational cues can guide by targeting shaft
adhesions. Filopodial tip adhesion to an inhibitory cue induces
shaft adhesions and abolishes veil advance, whereas tip adhesion
to a permissive cue prohibits shaft adhesions and promotes
veil advance. Shaft adhesions can thus regulate both motility
and navigation. The discovery of functionally distinctive
adhesions compels a reevaluation of signaling mechanisms that
were previously inferred under the assumption that adhesions
are mono-functional. The discovery also shows that guidance
responses are much more discrete and invariant than previously
supposed, and are thus good candidates for mathematical modeling.
Support: NSF-0212326.
Recent,
relevant papers:
Steketee
M., K.W. Tosney. (1999). Contact with isolated sclerotome
cells steers sensory growth cones by altering distinct elements
of extension. J.
Neurosci. 19: 3495-3506
Polinsky,
M., K. Balazovich and K.W. Tosney (2000). Identification of
an invariant response: Contact with Schwann cells induces
veil extension in growth cones. J.
Neurosci. 20: 1044-1055.
Steketee,
M., K.J. Balazovich and K.W. Tosney (2001). Filopodial initiation
and a novel filament-organizing center, the focal ring. Mol.
Biol. Cell. 12: 2378-2395.
Steketee
and Tosney (2002) "Three functionally distinct adhesions in
filopodia: Shaft adhesions control lamellar extension."
J. Neurosci. 22:8071-8083.
MODELING
THE ROLE OF TENSION IN YEAST KINETOCHORE MICROTUBULE DYNAMICS,
David Odde, University of
Minnesota, Biomedical Engineering, Minneapolis, MN
Abstract:
To properly segregate replicated chromosomes during mitosis
requires the formation of a mitotic spindle, which consists
of microtubules that emanate from the spindle poles and connect
to chromosome-associated kinetochores. Kinetochores track
along microtubule plus ends as the microtubules self-assemble
and disassemble via dynamic instability. Due to the stochastic
nature of microtubule dynamic instability, the sister kinetochores
can transiently move away from each other, each kinetochore
tracking along a disassembling microtubule. In this case,
tension will develop between the kinetochores in the chromatin
that links them together. Prior work suggested that tension
influences the switching behavior associated with dynamic
instability. We found that a Monte Carlo simulation model
for microtubule dynamic instability that includes tension-mediated
microtubule switching was consistent with experimental observations
of both wild-type and replication-deficient GFP-tagged yeast
kinetochores during metaphase. This model also requires that
a stable spatial gradient of microtubule catastrophe rate
exists, with a higher probability of catastrophe (stochastic
switching from self-assembly to disassembly) occurring at
the spindle equator than at the poles. Together, these processes
can account for the spatial organization of yeast kinetochore
microtubules and the results suggest that tension in the kinetochore-DNA
complex promotes the stabilization of microtubules and protects
them from disassembly.
Relevant
reference: Brian L. Sprague , Chad G. Pearson , Paul S. Maddox
, Kerry S. Bloom , E. D. Salmon and David. J. Odde , Mechanisms
of Microtubule-Based Kinetochore Positioning in the Yeast
Metaphase Spindle
Biophysical Journal 84:3529-3546 (2003)
L1
CAM is required for proper neuronal placement embryogenesis,Lihsia Chen, Department
of Genetics, Cell Biology and Development, University of Minnesota
Abstract:
LAD-1, the sole homologue of the L1 family of neuronal cell
adhesion molecules (L1CAMs), is required for nervous system
development as well as embryogenesis. Indeed, we show that
mutations in lad-1 result in Unc coilers that are Egl and
constipated, as well as 40% embryonic lethality. Further analysis
reveals misplacement of neuronal cell bodies in the mutants.
LAD-1
contains an ankyrin binding motif, FIGQY, which allows LAD-1
to bind UNC-44 ankyrin and be linked to the spectrin-actin
cytoskeleton. We show that LAD-1 is phosphorylated at the
tyrosine residue of the FIGQY motif; this phosphorylation
event is dependent on the egl-15 FGFR-activated Ras pathway.
Phosphorylated LAD-1 is localized to axon-muscle and epithelial
adherens junctions that are free of non-phosphorylated LAD-1,
suggesting distinct functions for phosphorylated LAD-1. Indeed,
phosphorylated L1CAMs have been reported to bind doublecortin,
a microtubule-associated protein. This suggests that phosphorylation
is a mechanism for LAD-1 to switch from actin to microtubule
cytoskeletal linkage.
Doublecortin
is thought to play a role in neuronal migration. Thus, the
biochemical interaction between doublecortin and L1CAMs is
particularly intriguing in light of the neuronal misplacement
defects observed in the lad-1 mutant. C. elegans contains
a single doublecortin homologue, zyg-8, which was previously
shown to play a role in mitotic spindle positioning. We show
that the zyg-8 postembryonic mutants exhibit a similar phenotype
to those of the lad-1 mutant: Unc and constipated coilers
as well as high levels of embryonic lethality. This result
suggests that the biochemical interaction between phosphorylated
L1CAMs and doublecortin is functionally significant. We are
in the process of genetically assaying if zyg-8 and lad-1
functionally interact.
Recent
relevant publication:
Chen,
L., Ong, B., and Bennett, V. 2001. LAD-1, the C. elegans L1CAM
family homologue, has essential cell adhesion roles in the
early embryo, participates in cell migration, and is a substrate
for phosphotyrosine-based signaling. Journal
of Cell Biology 154: 841-855.
Patterning,
Growth and Morphogenetic Fields in Brain Development,Clifton Ragsdale, Department
of Neurobiology, Pharmacology and Physiology, The University
of Chicago
Models
of an autonomous Rhythmic Hormone Delivery System, Ron
Siegel, Department of Pharmaceutics, University of
Minnesota
Certain
disorders in sexual development and reproductive function
are traced to disorders in the rhythmic, pulsatile secretion
of gonadotropin releasing hormone (GnRH) from the hypothalamus.
These disorders may require long-term hormone replacement
therapy, and rhythmic delivery of GnRH is essential. Since
GnRH is exceptionally potent, implantable hormone delivery
systems may be considered. We are developing such a system,
in which autonomous modulation of permeability of a hydrogel
membrane to GnRH is driven by endogenous glucose, via a chemomechanical
limit cycle established by feedback between the membrane and
an enzyme. Several mathematical models of this system have
been developed, with different levels of complexity. We will
present results of a lumped, ODE-based model, for which the
bifurcation structure has been worked out, and will also progress
towards a more detailed, distributed (PDE-based) model.
Tissue
Growth in Cell-Contracted Biopolymer Scaffolds,
Robert T. Tranquillo, Departments of Biomedical Engineering,
and Chemical Engineering & Materials Science, University of
Minnesota
We have
attempted to develop a tissue-engineered artery and heart
valve based on the approach of entrapping tissue cells within
a forming collagen gel. The ability to harness the cell traction-induced
contraction of the network of collagen fibrils to obtain the
desired alignment of fibrils and cells will be described and
explained. Recent efforts to drive "compositional remodeling"
following the "structural remodeling" obtained via mechanically-constrained
contraction, using fibrin as an alternative biopolymer to
collagen for cell entrapment, with the goal of attaining the
requisite mechanical properties, will be presented. Unlike
the early "structural remodeling", the subsequent "compositional
remodeling" and associated tissue growth that occurs in fibrin
presents major modeling challenges.
Recent
relevant publications:
A novel
implantable collagen gel assay for fibroblast traction and
proliferation during wound healing.
Enever PA, Shreiber DI, Tranquillo RT. J
Surg Res. 2002 Jun 15;105(2):160-72.