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2006 Past Mathematical Biology Seminars

Date: Wedn Jan. 4, 2006 Time: 2:00 pm
Location: Rm216, PIMS main facility, 1933 West Mall, UBC
Speaker: Yoichiro Mori, NYU.
Title:A Three Dimensional Model of Cellular Electrical Activity
Abstract: After a brief discussion of the motivations for developing the model, I will formulate the system of PDEs that govern 3D cellular electrical activity. The relationship between our 3D model and traditional cable models will be explained, thereby illustrating the different time scales that are present in the equations. I will then present an existence analysis for a particular simplification of the model, which will further illuminate the behavior of the system. A numerical method to solve these equations will be presented. This will be followed by simulation results for a particular physiological phenomenon for which our model has provided novel insight: cardiac action potential propagation without gap junctions. I will end with a discussion of future directions.
Date: Wedn Jan. 11, 2006 Time: 2:00 pm
Location: Rm216, PIMS main facility, 1933 West Mall, UBC
Speaker: Sasha Jilkine, UBC.
Title:Cytoskeletal dynamics during cleavage of the C. elegans embryo.
Abstract: Understanding how cells cleave has been an important problem in cell biology for the last 50 years. In animal cells a contractile ring of actin and myosin assembles beneath the plasma membrane and constricts the cell in two. We visualize the dynamics of GFP-labeled myosin and filamentous actin in live embryos to understand how these two proteins are recruited to the cleavage furrow. We use RNA interference to suppress expression of genes essential for cytokinesis, as well as mechanical perturbations of the mitotic apparatus to investigate how the microtubule-based mitotic apparatus interacts with the actomyosin cortex to determine cleavage furrow position in C. elegans. This work was done in Gene Network Dynamics and Cellular Behavior course at the University of Washington Friday Harbor Laboratories.
Date: Wedn Jan 18, 2006 Time: 2:00 pm
Location: Rm216, PIMS main facility, 1933 West Mall, UBC
Speaker: Dejan Milutinovic, University of Utrecht.
Title: Stochastic Model of a Micro-Agent population
Abstract: This presentation concerns one of the emergent hot topics in biological research. At the micro level, the immune system acts as a discrete event multi agent system. Most of the reactions (i.e. events) among particles within the immune system are well known, but it is not clear what kind of macro behavior they result in due to the complex interaction among particles in the population. A similar problem appears in Robotics when the control of population of micro-robots is considered.

To study such a complex system, we propose the Micro-Agent model of individuals and the Stochastic Micro-Agent population model. They are defined in the Hybrid Systems framework. These models are general enough to describe biological, as well as, robotic agents. Using them, we develop a theory, which is based on the probability density function of the Micro-Agent state. This function connects the state of each Micro-Agent to the state of population within a probabilistic framework.

This work is motivated by the modeling of T-cell receptors down-regulation dynamics of the T-cell population mixed with antigen presenting cells. The work includes the numerical examples related to both this application and to the optimal control of a large-size robotic population.

Date: Wedn, Jan. 25, 2006 Time: 2:00 pm
Location: Rm216, PIMS main facility, 1933 West Mall, UBC
Speaker: Joe Mahaffy, SDSU.
Title:Modeling Marine Phage Ecology
Abstract: Marine phage are virus that infect bacteria in the ocean. There are about 1.2x1030 phage in the oceans, yet little is known about phage ecology and population dynamics. Each day they destroy about 25% of the marine bacteria, playing an important role in the carbon cycle of the oceans, which is a significant part of the global CO2 cycle. Our studies have used shotgun sequencing and mathematical models based on a Lander-Waterman algorithm to learn about species diversity and abundance. Studies show that the ratio of bacteria to phage remains fairly constant (about 1:10) through a variety of habitats. We develop a two compartment model and fit a number of parameters to explain how this ratio can be maintained. A modified model with delays using quorum sensing of the bacterial population by the phage shows how adaptations of phage between lysogenic and lytic life cycles can produce oscillations in the phage and its host populations, while the ratio of bacteria to phage still remains fairly constant.
Date: FRIDAY, Jan. 27, 2006 Time: 11am
Location:Rm110 (DOWNSTAIRS), PIMS main facility, 1933 West Mall, UBC
Speaker: Yangjin Kim, University of Minnesota.
Title:Mathematical modeling of tumor spheroid growth
Abstract: Multicellular tumor spheroids (MCTS) have been used as a model system because of their remarkable ability of reproducing the properties of tumors in vivo. MCTS are made of three layers with different mechanical properties, i.e. proliferating outer layer, quiescent middle zone, and necrotic zone. Helmlinger et al (1997) were able to measure the residual stress generated by tumor growth in agarose gel. These results showed that tumor growth can be regulated by stress and that mechanical properties of extracellular matrix (ECM), such as stiffness, can inhibit the tumor growth in vitro. These authors also found that MCTS grew in ellipsoidal shape rather than spherical shape when grown in a long cylinder, which indicates that stress was a controling factor in MCTS growth. The residual stress caused by uncontrolled cell proliferation is believed as possible cause of localized blood vessel collapse in the tumor, thereby causing malfunction of vital organs.
For the proliferating zone, I consider force balance equation to get the evolution of cell movement where each cell is considered as a growing viscoelastic ellipse with two major axes. The discretely modeled cells can divide, push each other, and find the right path to move. These cells keep dividing as long as they get the necessary nutrients. As cells proliferate, cells in the center do not have enough nutrient and start to die, a process called necrosis. Cells in outer part of spheroid continue to proliferate, which produces residual stresses. Increased stresses surrounding the spheroid then inhibit MCTS growth and increase the cell density in the proliferating zone. By considering that the gel, quiescent zone, and necrotic region are viscoelastic materials, I use continuum model in these regions and couple the continuum model to the discrete cell model. Reaction-diffusion equations for nutrients are considered to describe the evolution of concentration of nutrients.
I discuss the stress effect on tumor growth and growth behavior of active tumor cells. I will also discuss a possible mechanism for reduction of cell volume. My future work includes the incorporation of a shedding effect, which is when tumor cells detach from the primary tumor and shed into the suspension medium. I will discuss how I plan to incorporate this effect, which is an important issue in cancer such as certain brain cancers. Another aspect of my future work is the inclusion of internal cell dynamics. I will discuss this as well.
Date: Wedn, Feb. 1, 2006 Time: 2:00 pm
Location: Rm216, PIMS main facility, 1933 West Mall, UBC
Speaker: Eldon Emberly, Simon Fraser University.
Title:Synchronizing Mechanisms in Circadian Oscillators
Abstract: Many organisms possess internal biochemical clocks, known as circadian oscillators, which allow them to regulate their biological activity with a 24-hour period. It was recently discovered that the circadian oscillator of photosynthetic cyanobacteria is able to function in a test tube with only three proteins, KaiA, KaiB, and KaiC, and ATP. Biochemical events are intrinsically stochastic, and this tends to desynchronize oscillating protein populations. In this talk I will present a model that predicts that the stability of the Kai-protein oscillator relies on active synchronization by (i) monomer exchange between KaiC hexamers during the day, and (ii) formation of clusters of KaiC hexamers at night. The results highlight the importance of collective assembly/disassembly of proteins in biochemical networks. Stochastic effects will also be discussed and will be shown to occasionally enhance oscillatory behavior.
Date: TUESDAY, Feb. 7th, 2006 Time: 11am
Location: Rm 110, PIMS main facility, 1933 West Mall, UBC
Speaker: Rafael Meza Rodriguez, University of Washington.
Title:Gestational Mutations and Carcinogenesis
Abstract: The risk of getting most cancers increases as a power of age. This terrible fact remained unexplained until 1954, when Armitage and Doll used a simple mathematical model to show that the power of age in cancer risk may be related to the number of genetic events required to produce a malignant cell. Several years later, Knudson used another mathematical model (now widely known as the Moolgavkar-Venzon-Knudson model) to postulate the existence of specific tumor suppressor genes. A few years later, experimentalists corroborated Knudson's hypothesis, revolutionizing cancer research. These two examples are proof that mathematical modeling can contribute significantly to the progress of biological research, and in particular to the study of human diseases. During this talk I will introduce some of the mathematical ideas behind the theory of multistage carcinogenesis. In addition, I will present a mathematical formulation designed to evaluate the effects of gestational mutations on cancer risk. Models for the accumulation of critical mutations during gestation (Luria-Delbruk type) are used in tandem with multistage models of carcinogenesis to derive hazard and survival functions for cancer in specific tissues. To illustrate the use of the methodology, I will present estimations of the proportion of colorectal cancers in the US population that could be attributed to gestational mutations, and discuss the possible effects of in utero X-Ray exposures on colorectal cancer risk.
Date: Wedn, Feb. 8, 2006 Time: 2:00 pm
Location: Rm216, PIMS main facility, 1933 West Mall, UBC
Speaker: Meredith Greer, Bates College.
Title:Modeling Protein Population Interactions in Prion Diseases
Abstract: A prion is an infectious form of protein that differs from a naturally produced protein only in its folding. Prions are thought to cause several diseases, with Bovine Spongiform Encephalopathy (BSE) perhaps the most widely known example. Diseases associated with prions have very long incubation periods, are difficult to detect in all but the latest stages, and are highly fatal. These characteristics alone make study of prions interesting, but even more so, there is the question of prion replication. Proteins do not possess any nucleic acid. Without DNA or RNA, how does the structure copy itself and spread?

There is evidence that prions form polymers or aggregates, most likely with additional stability. Some or all of these polymers attach to the similar naturally produced protein and convert it to the infectious variety. Polymers also split. Altogether, both the overall quantity of infectious proteins, and the number of polymer strands, increase. To model these phenomena, we represent prion polymer length as a continuous structure variable. We obtain a system of two partial differential equations modeling interaction of the infectious and non-infectious conformations of prion protein within an infected individual. We use this system to create numerical simulations of disease progress within such an individual. Under some circumstances, we can simplify to a system of three ordinary differential equations. In the ODE case, we discuss steady states, their stability, and relative parameter changes that affect their viability.

Date: Wedn, Feb. 22, 2006 Time: 2:00 pm
Location: Rm216, PIMS main facility, 1933 West Mall, UBC
Speaker: Leah Keshet, UBC.
Title:Biopolymers: kinetics and behaviour
Abstract: In this seminar, I will survey some of the dynamic behaviour of various biopolymers, and address the following question: what can we infer about the polymers based on their polymerization kinetics. Some of my remarks will be motivated by actin, the dominant component of the cytoskeleton. Other remarks will generalize to biological aggregates such as amyloid, a component of Alzheimer's disease senile plaques.
Date: Wedn, Mar. 1, 2006 Time: 2:00 pm
Location: Rm216, PIMS main facility, 1933 West Mall, UBC
Speaker: Jim Faeder, Los Alamos National Lab.
Title:Rule-based modeling of biochemical networks
Abstract: Biochemical networks, particularly those involved in eukaryotic signal transduction, often exhibit combinatorial complexity in the number of distinct chemical species, e.g. phosphorylation states and molecular complexes, that may arise dynamically. This complexity arises because the modular nature of the proteins involved permits each protein to have multiple binding partners and hence to form large, heterogeneous complexes. For networks marked by combinatorial complexity, the conventional approach of manually specifying each term of a mathematical model is untenable. To avoid this problem, modelers often make implicit assumptions to limit the number of species, but these are usually poorly justified and may adversely affect both the predictive and analytical utility of the model. As an alternative, we have developed software called BioNetGen that automatically generates the species and reactions implied by a set of modular proteins and their interactions. The basic approach is to represent biomolecular interactions and their effects as rules, which are evaluated automatically to generate a reaction network. The full network may be generated prior to a simulation or may be adaptively enlarged over the course of a simulation. In BioNetGen2, protein complexes are represented as graphs, with the nodes of the graph representing protein domains, node labels indicating the domain state, and edges representing binding interactions between domains.
Date: Wedn, Mar. 8, 2006 Time: 2:00 pm
Location: Rm216, PIMS main facility, 1933 West Mall, UBC
Speaker: Sam Isaacson, University of Utah.
Title:Stochastic reaction-diffusion methods for modeling gene expression and regulation in complex geometries.
Abstract: We will present several mathematical models for studying reaction-diffusion processes wherein both noise in the chemical reaction process and geometry may be important. In particular, we will examine the relation between the reaction-diffusion master equation model of spatially distributed stochastic chemical kinetics and models that track individual particles. Our analysis will demonstrate the importance of modeling point binding, equivalently binding to a small target, in understanding the reaction-diffusion master equation. Applications of the preceding models to studying the spatially and temporally distributed nature of eukaryotic gene expression and regulation will be discussed.
Date: Wedn, Mar. 15, 2006 Time: 2:00 pm
Location: Rm216, PIMS main facility, 1933 West Mall, UBC
Speaker: Eirikur Palsson, Simon Fraser University.
Title: How do changes in the properties of the cAMP signaling system in Dictyostelium affect the patterns observed?
Abstract: Here I will first introduce the model, a biologically realistic three dimensional mathematical model that facilitates the simulation and visualization of cell movement in multicellular systems. This model allows us to study how cell adhesion, stiffness, active force generation and chemotaxis affect the movement and signaling of cells in multicellular systems. I will show examples of its applications, compare the results with experimental data and present results that highlight the interplay of chemotaxis and adhesion in cell sorting and movements. I also point out other insights into the mechanism of cell movements that may be gained from the model.
The building blocks of the model are individual deformable ellipsoidal cells; each cell having certain given properties, not necessarily the same for all cells. Since the model is based on known processes, the parameters can be estimated or measured experimentally.
The cellular slime mold Dictyostelium discoideum is a widely used model system for studying a variety of basic processes in development, including cell-cell signaling, signal transduction, pattern formation and cell motility. I will show simulations of the chemotactic behavior of single cells, streaming during aggregation, and the collective motion of an aggregate of cells driven by a small group of pacemakers. The results are compared with experimental data and examples shown, that highlight the interplay of chemotaxis and adhesion on cell sorting and movements in Dictyostelium. The model predicts that the motion of two-dimensional slugs results from the same behavior that is exhibited by individual cells; it is not necessary to invoke different mechanisms or behaviors. Finally I will discuss how different models of the signaling system can influence the results. I show how changes in the activity of phosphodiesterase and whether it is secreted or membrane bound affect the aggregation and the resulting patterns observed. Such as how spirals may form.
Date: Wedn, Mar. 22, 2006 Time: 2:00 pm
Location: Rm216, PIMS main facility, 1933 West Mall, UBC
Speaker: Fiona Brinkman, Simon Fraser University.
Title:Trends in microbial protein networks and their evolution
Abstract: I'll talk about how we've uncovered some relationships regarding how bacterial protein networks change as a function of bacterial genome size and time. This will include presenting relationships uncovered regarding different types of components of these networks, such as network regulators and proteins residing in particular 3D locations in the cell. I'll also go over a theory I am working on regarding how these networks change over time and are influenced by a possible large "gene pool" associated with viral organisms. The implications of all this on mathematically modeling microbial change over time will be discussed, including possible implications on predicting microbial disease outbreaks in populations. I'll also bring up some mathematical approaches we've developed to identify DNA sequence composition differences in microbes that may be related to the possible large gene pool that may be greatly influencing microbial evolution and influencing emergence of new microbial strains.
Date: Thursday, Mar. 23, 2006 Time: 11:00 am Note unusual day and time.
Location: Rm216, PIMS main facility, 1933 West Mall, UBC
Speaker: Peter Sozou, London School of Economics.
Title: Costly but worthless gifts as signals in courtship

Abstract: What are the characteristics of a good courtship gift? We address this question by modelling courtship as a sequential game. This is structured as follows: the male offers a gift to a female; after observing the gift, the female decides whether or not to accept it; she then chooses whether or not to mate with the male. In one version of the game, based on human courtship, the female is uncertain about whether the male intends to stay or desert after mating. In a second version, there is no paternal care but the female is uncertain about the male's quality. The two versions of the game are shown to be mathematically equivalent. We find robust equilibrium solutions in which mating is predominantly facilitated by an "extravagant" gift which is costly to the male but intrinsically worthless to the female. By being costly to the male, the gift acts as a credible signal of his intentions or quality. At the same time, its lack of intrinsic value to the female serves to deter a "gold-digger", who has no intention of mating with the male, from accepting the gift. In this way, an economically inefficient gift enables mutually suitable partners to be matched.
Date: Wedn, Mar. 29, 2006 Time: 2:00 pm
Location: Rm216, PIMS main facility, 1933 West Mall, UBC
Speaker: Dmitry Kondrashov, University of Wisconsin - Madison.
Title:Coarse-grained models of residue interactions within and between protein structures
Abstract: Fluctuations of proteins near their native conformations play important roles in function. Simple coarse-grained models, such as the Gaussian Network Model, have been shown to capture some of the features of equilibrium protein dynamics. We extend this model to include more than one interaction parameter between residues, by using B-factors from 147 ultra-high resolution X-ray crystal structures to optimize the interaction parameters. By simply separating residue interactions into covalent and noncovalent we improve the average correlation between the model and the B-factors from 0.65 to 0.74. The high-resolution structures also provide data about the directionality of motion in the form of anisotropic B-factors. We perform a systematic comparison of a number of coarse-grained models of protein dynamics, and assess their fidelity to the data.
We are also studying the evolution of interacting pairs of residues on the interfaces of protein complexes. We have found over 500 structures of mammalian protein dimers in the Protein Data Bank, and determined the contact matrices for the interfaces. We test the hypothesis of positive selection on the interacting residues by comparing orthologous sequences to an out-group to measure the frequency of cooperative changes in the interacting residue pairs. We then use the above coarse-grained models to identify residue pairs with the greatest involvement in low-frequency modes of motion, and compare their selection parameters to the rest of the protein interface residues.

Date: Wedn, Apr. 5, 2006 Time: 2:00 pm
Location: Rm216, PIMS main facility, 1933 West Mall, UBC
Speaker: Codina Cotar UBC Mathematics.
Title:A Reward Model for Mate Choice and Sexual Selection
Abstract: Females are the choosy sex, their choice being made on the basis of the quality of the males. The benefits they receive from the males for the offspring are either indirect, for example good genes, or direct, such as territories, male parental care and absence of contagious parasites. The presence or absence of attributes as good genes or absence of contagious parasites in a male will determine if he is it a high-quality male or a low-quality male. This interaction between female and male decision rules raises two important questions: Do we expect high-quality males to give less care to the young than low-quality ones? Do we expect females to prefer high-quality males? The problem of how much time to spend with females, for the males, and what males to choose, for the females, is game theoretical. The existence of an optimal Nash strategy for males and females is proven under a general female choice rule. The optimal strategy is then analyzed. Part of this work was done jointly with John McNamara and E.J.Collins

Date: Wedn, Apr. 12, 2006 Time: 2:00 pm
Location: Rm216, PIMS main facility, 1933 West Mall, UBC
Speaker: Stan Maree University of Utrecht
Title:Polarisation and cell movement: a multiscale modelling approach
Abstract: Cell motility is a complex phenomenon, in which the cytoskeleton and its major constituent, actin, play an essential role. To understand the intricated interplay which brings about cell motility, we use a multiscale modelling approach in a 2D model of a motile cell. We describe the mutual interactions of the small G-proteins, and their effects on capping and side-branching of actin filaments. We incorporate the pushing exerted by oriented actin filament ends on the cell edge, and a Rho-dependent contraction force. Combining these biochemical and mechanical aspects, we investigate the dynamics of a model epidermal fish keratocyte through \emph{in silico} experiments. Our model gives insight into how, in response to some cue, a cell can polarise, form a leading edge, and move; concomitantly it explains how a keratocyte cell can maintain its shape and polarity, even after removal of the initial stimulus, and how it can change direction quickly in response to changes in its environment. This is joint work with Alexandra Jilkine, Adriana Dawes, and Leah Keshet, and was funded by NSERC, MITACS, NWO and NSF.

PIMS Collaborative Research Group in
Mathematical Modelling and Computation in Biology
Invited speaker

Date: Wedn, Apr. 26, 2006 Time: 2:00 pm
Location: Rm216, PIMS main facility, 1933 West Mall, UBC
Speaker: Arpita Upadhyaya, University of Maryland.
Title:Actin' pushy and pulling springs: Two forms of biological motion
Abstract: A fundamental attribute of living cells is their ability to move. I will talk about two forms of biological motion driven by different physical mechanisms. The polymerization of the protein, actin, appears to be the source of the propulsive force for eukaryotic cell motion. While the alphabet soup of proteins that initiate and control actin polymerization is being scrupulously characterized, it is not clear how this generates a force to push. I will describe experiments in which we have reconstructed motility using phospholipid vesicles as model cell membranes in order to probe the polymerization forces. Vorticella, one of the most powerful cellular machines, is a single celled organism with a cell body attached to a substrate by a slender stalk which contains a rod-like polymeric structure - the spasmoneme. Vorticella motility is characterized by an extremely rapid contraction which is powered by the collapse of the spasmoneme. We have conducted high-speed imaging experiments to study the dynamics of contraction.

Date: Wedn, May 24, 2006 Time: 3pm.
Location: ****Math Annex 1102****
Speaker: Jean Francois Ganghoffer LEMTA-ENSEM, Nancy, France.
Title:Modelling of cell adhesion - a probabilistic approach
Abstract: Rolling is an important manifestation of biological cell adhesion, especially for the leukocyte cell in the immune process. It combines several phenomena such as the affinity, the junction and failure between specific adhesion molecules, and an active deformation of the cell during the motility. Several models were developed in a probabilistic or a deterministic context. The focus is here on the local mechanical description (2D) of the kinetics of adhesion of the contact interface of a single cell with a wall (e.g., the blood vein), in terms of the failure and creation of connections during the rolling. The failure and adhesion are considered as bieng modeled by stochastic fields. The local model focuses on the interfacial zone, as a preliminary step towards an integrated model including the cell membrane behavior. Hence, the net effect of the fluid flow is represented by a punctual force, coupled to the Van der Waals, electrostatic forces and the viscoelastic behavior of the interfacail bonds. Numerical simulations emphasize the rolling phenomenon and the kinetics of creation and rupture of the ligands~Vreceptors connections. Perspectives in terms of the coupling of the interface behavior with a stochastic finite element description of the cell membrane in a 3D context are mentioned.
September, 2006
Sept 6 Alex Mogilner - IAM Distinguished Speaker
Department of Mathematics and Department of Neurobiology, Physiology & Behavior, UC Davis
Title: System Level Mathematical Analysis of Mitosis
Note: This talk is part of the IAM Distinguished Colloquium Speaker Series and will be held on a Wednesday at 4 pm in LSK 301 (6356 Agricultural Road, UBC). Refreshment will be served before the talk in room 306.
Sept 13 Arthur Sherman
Laboratory of Biological Modeling, NIDDK/NIH
Title: Ionic and Metabolic Mechanisms in Pulsatile Insulin Secretion
Note:This talk will be held on a Wednesday at 12 pm in WMAX 216.
Sept 13 Bill Kath - IAM Distinguished Speaker
Engineering Sciences and Applied Mathematics, Northwestern University
Title: Models of Initiation and Propagation of Dendritic Spikes in Hippocampal CA1 Pyramidal Neurons
Note: This talk is part of the IAM Distinguished Colloquium Speaker Series and will be held on a Wednesday at 3:15 pm in LSK 301 (6356 Agricultural Road, UBC). Refreshment will be served before the talk in room 306.
Sept 14 David Lloyd - joint SCAIM/MathBio Seminar
Department of Mathematics, University of Surrey
Title: Nucleation of localised pattern in continuous media
Sept 18 Fred Wan
University of California, Irvine
Title: Morphogen Gradients in Biological Systems
Note: This talk is an IAM Colloquium and will be held on a Monday at 3 pm in LSK 301 (6356 Agricultural Road, UBC). Refreshment will be served before the talk in room 306.
Sept 21 Richard Bertram
Department of Mathematics, Florida State University
Title: Mathematical Analysis of the Neural Control of Hormone Secretion
Sept 22 Michael Doebeli - Mathematics Colloquium speaker
Departments of Mathematics and Zoology, UBC
Title: Evolution of diversity: Pattern formation in phenotype space
Note: This talk is a Department Colloquium and will be held on a Friday at 3 pm in MATX 1100. Refreshments in the lounge beforehand (MATX 1115).
Sept 27-29 Bridging the Scales of Disease Dynamics
A PIMS CRG Workshop

October, 2006
Oct 6 Daniel Coombs - Mathematics Colloquium speaker
Departments of Mathematics
Title: Virus Competition at Multiple Scales
Note: This talk is a Department Colloquium and will be held on a Friday at 3 pm in MATX 1100. Refreshments in the lounge beforehand (MATX 1115).
Oct 12 Yoichiro Mori
Departments of Mathematics, UBC
Title: Implicit Immersed Boundary Methods with Boundary Mass
Oct 13-15 Frontiers in Biophysics: Modelling and experiment
A retreat for the Vancouver Biophysics Community
Sponsored by a PIMS CRG , PITP and

Oct 19 Lin Wang
UBC Mathematics
Title: Impact of Travel Between Patches for Spatial Spread of Disease
Oct 26 Kevin Painter
Mathematics, Heriot Watt University, UK.
Title: Modelling cell migration in the ECM and its role in tumour invasion
November, 2006
Nov 1 Michael Gold -Contemporary Immunology Speaker Series
Microbiology and Immunology, UBC
Title: Immunology, math, and physics: What's the problem?
Note: This talk is part of a speaker series on immunology in conjunction with Green College. It will take place at 5 pm at the Green College Coach House - see the link above for info.
Nov 9 Peter Borowski
recently of Max-Planck-Institute, currently UBC
Title: A stochastic two-state signalling module with negative feedback
Nov 15 Jason Haugh
Chemical and Biomolecular Engineering, NCSU
Title: Analysis of intracellular signal transduction at various scales of biological abstraction
Note: This talk is part of a speaker series on immunology in conjunction with Green College. Dr. Haugh will also be giving a talk later in the day aimed at a general audience - see the link above for info.
Nov 30 Gerda de Vries
Department of Mathematical and Statistical Sciences, University of Alberta
Title: Mathematical models in radiation biology
December, 2006
Dec 4 Mark Lewis - PIMS 10th Anniversary Speaker
University of Alberta
Title: Plagued by numbers: the mathematics of disease
Note: This talk is part of the PIMS 10th Anniversary Speaker Series and will be held on a Monday at 4pm in WMAX 110.
Dec 5 Gail Wolkowicz
McMaster University
Title: An alternative formulation for a delayed logistic equation
Note: This talk will be held on a Tuesday at 11am in WMAX 216.

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