BEGIN:VCALENDAR
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CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:David F. Anderson (University of Wisconsin\, Madison (USA))
DTSTART;VALUE=DATE-TIME:20201112T160000Z
DTEND;VALUE=DATE-TIME:20201112T163000Z
DTSTAMP;VALUE=DATE-TIME:20210418T121736Z
UID:MoRN/1
DESCRIPTION:Title: Rea
ction network implementations of neural networks\nby David F. Anderson
(University of Wisconsin\, Madison (USA)) as part of Seminar on the Mathe
matics of Reaction Networks\n\n\nAbstract\nI will give an overview of my r
ecent paper with Badal Joshi and Abhishek Deshpande\, which is entitled "O
n reaction network implementations of neural networks." In particular\, I
will show how reaction networks can be constructed that "implement" a giv
en neural network. I will also detail our theoretical results\, which pro
ve that the ODEs associated with certain reaction network implementations
of neural networks have desirable properties including (i) existence of un
ique positive fixed points that are smooth in the parameters of the model
(necessary for gradient descent)\, and (ii) fast convergence to the fixed
point regardless of initial condition (necessary for efficient implementat
ion). I'll start the talk with a brief primer on neural networks\, but wi
ll assume familiarity with reaction networks.\n
LOCATION:https://researchseminars.org/talk/MoRN/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Beatriz Pascual Escudero (Universidad Carlos III (Spain))
DTSTART;VALUE=DATE-TIME:20201203T160000Z
DTEND;VALUE=DATE-TIME:20201203T163000Z
DTSTAMP;VALUE=DATE-TIME:20210418T121737Z
UID:MoRN/2
DESCRIPTION:Title: Nec
essary conditions for ACR in Reaction Networks\nby Beatriz Pascual Esc
udero (Universidad Carlos III (Spain)) as part of Seminar on the Mathemati
cs of Reaction Networks\n\n\nAbstract\nA biological system has absolute co
ncentration robustness (ACR) for some molecular species if the concentrati
on of this species does not vary among the different steady states that th
e network admits. In particular\, this concentration is independent of the
initial conditions. This interesting feature confers the system a highly
desirable property in order to adapt to environmental conditions\, which m
akes it useful\, for instance\, in synthetic biology. While some classes o
f networks with ACR have been described (Shinar and Feinberg 2010\; Karp e
t al. 2012)\, as well as some techniques to check a network for ACR (Pére
z Millán 2011\; Kuwahara et al. 2017)\, finding networks with this proper
ty is a difficult task in general.\n\nMotivated by this problem\, we studi
ed local and global notions of robustness on the set of (real positive) so
lutions of a system of polynomial equations\, and in particular on the set
of steady states of a reaction network. Algebraic geometry allowed us to
provide a practical test on necessary conditions for ACR. Properties of re
al and complex algebraic varieties are necessary for the results\, while t
he test ends up being a linear algebra computation.\n
LOCATION:https://researchseminars.org/talk/MoRN/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Casian Pantea (West Virginia University (USA))
DTSTART;VALUE=DATE-TIME:20201203T163000Z
DTEND;VALUE=DATE-TIME:20201203T170000Z
DTSTAMP;VALUE=DATE-TIME:20210418T121737Z
UID:MoRN/3
DESCRIPTION:Title: Inh
eritance of Hopf bifurcations in reaction networks\nby Casian Pantea (
West Virginia University (USA)) as part of Seminar on the Mathematics of R
eaction Networks\n\n\nAbstract\nInspired by recent work on multistationari
ty\, we consider the question: "when can we conclude that a network admits
Hopf bifurcations if one of its subnetworks has them?” In particular\,
we analyze a number of operations on reaction networks (like adding certai
n reactions\, or adding inflows/outflows) that may preserve Hopf bifurcat
ions as we build up the network . This is joint work with C.Conradi\, A. D
ickenstein\, and M. Mincheva.\n
LOCATION:https://researchseminars.org/talk/MoRN/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lea Popovic (Concordia University)
DTSTART;VALUE=DATE-TIME:20201112T163000Z
DTEND;VALUE=DATE-TIME:20201112T170000Z
DTSTAMP;VALUE=DATE-TIME:20210418T121737Z
UID:MoRN/4
DESCRIPTION:Title: A s
patially heterogeneous stochastic model for chemical reaction networks
\nby Lea Popovic (Concordia University) as part of Seminar on the Mathemat
ics of Reaction Networks\n\n\nAbstract\nI will present a measure-valued fr
amework for stochastic modelling of chemical reaction networks with spatia
l heterogeneity. Reactions rates at a spatial location are proportional to
the mass of different species present locally\, and to a location specifi
c chemical rate that is allowed to be a function of the local or global ma
ss of different species. The benefit of the framework is in rigorous appro
ximation limits that exploit multi-scale aspects of the system. When the m
ass of all species scales the same way\, we get classical deterministic li
mit described by PDEs. When the mass of some species in the scaling limit
is discrete while the mass of the others is continuous\, we obtain a new t
ype of spatial random evolution process in which discrete mass evolves sto
chastically and the continuous mass evolves according to PDEs between cons
ecutive jump times of the discrete part. Some useful properties of the lim
iting process are inherited from the pre-limiting sequence\, and could be
used in devising simulation algorithms.\n\nThis is joint work with Amandin
e Veber (Paris V\, Polytechnique-Saclay)\n
LOCATION:https://researchseminars.org/talk/MoRN/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nida Obatake (Texas A&M (USA))
DTSTART;VALUE=DATE-TIME:20201210T160000Z
DTEND;VALUE=DATE-TIME:20201210T163000Z
DTSTAMP;VALUE=DATE-TIME:20210418T121737Z
UID:MoRN/5
DESCRIPTION:Title: Mix
ed volume of reaction networks\nby Nida Obatake (Texas A&M (USA)) as p
art of Seminar on the Mathematics of Reaction Networks\n\n\nAbstract\nAn i
mportant invariant of a chemical reaction network is its maximum number of
positive steady states. This number\, however\, is in general difficult t
o compute. We introduce an upper bound on this number— namely\, a networ
k’s mixed volume — that is easy to compute. We show that\, for certain
biological signaling networks\, the mixed volume does not greatly exceed
the maximum number of positive steady states. We investigate this overcoun
t and also compute the mixed volumes of small networks (those with only a
few species or reactions). Joint work with Anne Shiu\, Dilruba Sofia\, Ang
elica Torres\, and Xiaoxian Tang.\n
LOCATION:https://researchseminars.org/talk/MoRN/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ankit Gupta (ETHZ (Switzerland))
DTSTART;VALUE=DATE-TIME:20201210T163000Z
DTEND;VALUE=DATE-TIME:20201210T170000Z
DTSTAMP;VALUE=DATE-TIME:20210418T121737Z
UID:MoRN/6
DESCRIPTION:Title: Fre
quency Spectra and the Color of Cellular Noise\nby Ankit Gupta (ETHZ (
Switzerland)) as part of Seminar on the Mathematics of Reaction Networks\n
\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/MoRN/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Polly Yu (University of Wisconsin\, Madison)
DTSTART;VALUE=DATE-TIME:20210114T160000Z
DTEND;VALUE=DATE-TIME:20210114T163000Z
DTSTAMP;VALUE=DATE-TIME:20210418T121737Z
UID:MoRN/7
DESCRIPTION:Title: Dyn
amically Equivalent Mass-Action Systems: A Survey of Recent Results\nb
y Polly Yu (University of Wisconsin\, Madison) as part of Seminar on the M
athematics of Reaction Networks\n\n\nAbstract\nUnder mass-action kinetics\
, each reaction network uniquely gives rise to a system of ODEs. However\,
the converse is not true\; for a given system of ODEs known to come from
a mass-action systems\, there are many reaction networks that serve as a c
andidate. In this talk\, I will introduce the notion of dynamical equivale
nce\, emphasize a convenient way of thinking about it\, and survey some re
cent results on dynamical equivalence to complex-balanced or detailed-bala
nced systems.\n
LOCATION:https://researchseminars.org/talk/MoRN/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chuang Xu (Technical University of Munich)
DTSTART;VALUE=DATE-TIME:20210225T160000Z
DTEND;VALUE=DATE-TIME:20210225T163000Z
DTSTAMP;VALUE=DATE-TIME:20210418T121737Z
UID:MoRN/8
DESCRIPTION:Title: Dyn
amics of one dimensional stochastic reaction networks\nby Chuang Xu (T
echnical University of Munich) as part of Seminar on the Mathematics of Re
action Networks\n\n\nAbstract\nIn this talk\, I will present recent result
s on criteria for dynamics as well as identity and recursive formula of li
mit distributions of one-dimensional mass-action stochastic reaction netw
orks (SRNs). I will also mention applications of these criteria to weakly
reversible SRNs\, and SRNs with transition of dynamics induced by volume s
cales. Finally\, I will list some related topics on bifurcation as well as
tails and approximation of stationary distributions of SRNs . This talk i
s based on joint works with Mads Christian Hansen and Carsten Wiuf.\n
LOCATION:https://researchseminars.org/talk/MoRN/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jinsu Kim (UC Irvine)
DTSTART;VALUE=DATE-TIME:20210128T160000Z
DTEND;VALUE=DATE-TIME:20210128T163000Z
DTSTAMP;VALUE=DATE-TIME:20210418T121737Z
UID:MoRN/9
DESCRIPTION:Title: Ide
ntifiability of Stochastically Modelled Reaction Networks\nby Jinsu Ki
m (UC Irvine) as part of Seminar on the Mathematics of Reaction Networks\n
\n\nAbstract\nWhen an underlying reaction network is given for a biochemic
al system\, the system dynamics can be modeled with various mathematical f
rameworks such as continuous-time Markov processes. In this manuscript\, t
he identifiability of the underlying network structure with a given stocha
stic system dynamics is studied. It is shown that some data types related
to the associated stochastic dynamics can uniquely identify the underlying
network structure as well as the system parameters. The accuracy of the p
resented network inference is investigated when given dynamical data is ob
tained via stochastic simulations.\n
LOCATION:https://researchseminars.org/talk/MoRN/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Elisa Tonello (Freie Universität\, Berlin)
DTSTART;VALUE=DATE-TIME:20210211T160000Z
DTEND;VALUE=DATE-TIME:20210211T163000Z
DTSTAMP;VALUE=DATE-TIME:20210418T121737Z
UID:MoRN/11
DESCRIPTION:Title: Bo
olean interaction networks: some classical results and recent trends\n
by Elisa Tonello (Freie Universität\, Berlin) as part of Seminar on the M
athematics of Reaction Networks\n\n\nAbstract\nBoolean interaction network
s are one of the tools in the arsenal of\nmodellers investigating biologic
al systems. They aim to capture\nqualitative behaviours\, and can be usefu
l especially in absence of\ndetailed kinetic information. I will start by
giving an overview of the\nmain graph structures associated to Boolean net
works. I will then\nsummarise some of the results that connect structure t
o dynamics\, and\ntouch on some current trends and directions of research.
\n
LOCATION:https://researchseminars.org/talk/MoRN/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Angelyn Lao (De La Salle University Manila)
DTSTART;VALUE=DATE-TIME:20210211T163000Z
DTEND;VALUE=DATE-TIME:20210211T170000Z
DTSTAMP;VALUE=DATE-TIME:20210418T121737Z
UID:MoRN/12
DESCRIPTION:Title: Ch
emical reaction network decompositions and realizations of S-systems\n
by Angelyn Lao (De La Salle University Manila) as part of Seminar on the M
athematics of Reaction Networks\n\n\nAbstract\nWe present novel decomposit
ion classes of chemical reaction networks (CRNs) derived from S-system kin
etics. Based on the network decomposition theory initiated by Feinberg in
1987\, we introduce the concept of incidence independent decompositions an
d develop the theory of $\\mathscr{C}$- and $\\mathscr{C}^*$- decompositio
ns which partition the set of complexes and the set of nonzero complexes r
espectively\, including their structure theorems in terms of linkage class
es. Analogous to Feinberg's independent decomposition\, we demonstrate the
important relationship between sets of complex balance equilibria for an
incidence independent decomposition of weakly reversible subnetworks for a
ny kinetics. We show that the $\\mathscr{C}^*$-decompositions are also in
cidence independent. We also introduce in this paper a new realization for
an S-system that is analyzed using a newly defined class of species cover
able CRNs. This led to the extension of the deficiency formula and charact
erization of fundamental decompositions of species decomposable reaction n
etworks.\n
LOCATION:https://researchseminars.org/talk/MoRN/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Justin Eilertsen (University of Michigan)
DTSTART;VALUE=DATE-TIME:20210114T163000Z
DTEND;VALUE=DATE-TIME:20210114T170000Z
DTSTAMP;VALUE=DATE-TIME:20210418T121737Z
UID:MoRN/13
DESCRIPTION:Title: Th
e current state of quasi-steady-state approximations: manifolds\, time sca
les\, singularities\, and stochastic fluctuations\nby Justin Eilertsen
(University of Michigan) as part of Seminar on the Mathematics of Reactio
n Networks\n\n\nAbstract\nOver the past decade\, mathematicians have made
considerable progress concerning the theory and\napplicability of quasi-st
eady-state (QSS) approximations in chemical kinetics. The application of F
enichel theory has revealed that QSS reduction in chemical kinetics is far
richer than previously thought\, even in low-dimensional systems that do
not exhibit oscillatory behavior. In this talk\, I will discuss recent dis
coveries that have emerged in the \nfield of mathematical enzyme kinetics\
, including methodologies for obtaining perturbation parameters\, singular
points\, dynamic bifurcations and scaling laws. If time permits\, I will
also discuss the applicability of QSS reductions in stochastic environment
s\, and comment on some open problems in both deterministic and stochastic
enzyme kinetics.\n
LOCATION:https://researchseminars.org/talk/MoRN/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mark Curiel (University of Hawaii at Manoa)
DTSTART;VALUE=DATE-TIME:20210128T163000Z
DTEND;VALUE=DATE-TIME:20210128T170000Z
DTSTAMP;VALUE=DATE-TIME:20210418T121737Z
UID:MoRN/14
DESCRIPTION:Title: Wh
en do two networks have the same steady-state ideal?\nby Mark Curiel (
University of Hawaii at Manoa) as part of Seminar on the Mathematics of Re
action Networks\n\n\nAbstract\nUnder the assumption of mass action kinetic
s\, the associated dynamical system of a reaction network is polynomial. W
e consider the ideals generated by these polynomials\, which are called st
eady-state ideals. Steady-state ideals appear in multiple contexts within
the chemical reaction network literature\, however they have yet to be sys
tematically studied. To begin such a study\, we ask and partially answer t
he following question: when do two reaction networks give rise to the same
steady-state ideal? In particular\, our main results describe three opera
tions on the reaction graph that preserve the steady-state ideal. Furtherm
ore\, since the motivation for this work is the classification of steady-s
tate ideals\, monomials play a primary role. To this end\, combinatorial
conditions are given to identify monomials in a steady-state ideal\, and w
e give a sufficient condition for a steady-state ideal to be monomial.\n
LOCATION:https://researchseminars.org/talk/MoRN/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Linard Hoessly (University of Copenhagen)
DTSTART;VALUE=DATE-TIME:20210325T160000Z
DTEND;VALUE=DATE-TIME:20210325T163000Z
DTSTAMP;VALUE=DATE-TIME:20210418T121737Z
UID:MoRN/15
DESCRIPTION:Title: On
an algebraic approach to product-form stationary distributions of some re
action networks\nby Linard Hoessly (University of Copenhagen) as part
of Seminar on the Mathematics of Reaction Networks\n\n\nAbstract\nExact re
sults for product-form stationary distributions of Markov chains are of in
terest in different fields. In stochastic reaction networks (CRNs)\, stati
onary distributions are mostly known in special cases where they are of pr
oduct-form. However\, there is no full characterization of the classes of
networks whose stationary distributions have product-form. We develop an a
lgebraic approach to product-form stationary distributions in the framewor
k of CRNs. Under certain hypotheses on linearity and decomposition of the
state space for conservative ergodic CRNs\, this gives sufficient and nece
ssary algebraic conditions for product-form stationary distributions. Corr
espondingly we obtain a semialgebraic subset of the parameter space that c
aptures rates where\, under the corresponding hypotheses\, CRNs have produ
ct-form. We employ the developed theory to CRNs and some models of statist
ical mechanics\, besides sketching the pertinence in other models from app
lied probability.\n
LOCATION:https://researchseminars.org/talk/MoRN/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Stefan Müller (University of Vienna)
DTSTART;VALUE=DATE-TIME:20210311T163000Z
DTEND;VALUE=DATE-TIME:20210311T170000Z
DTSTAMP;VALUE=DATE-TIME:20210418T121737Z
UID:MoRN/16
DESCRIPTION:Title: De
tailed balance = complex balance + cycle balance\nby Stefan Müller (U
niversity of Vienna) as part of Seminar on the Mathematics of Reaction Net
works\n\n\nAbstract\nWe further clarify the relation between detailed-bala
nced and complex-balanced equilibria\nof reversible chemical reaction netw
orks.\nOur results hold for arbitrary kinetics and also for boundary equil
ibria.\n\nDetailed balance\, complex balance\, ''formal balance''\, and th
e new notion of ''cycle balance''\nare all defined in terms of the underly
ing graph.\nThis fact allows elementary graph-theoretic (non-algebraic) pr
oofs of \na previous result (detailed balance = complex balance + formal b
alance)\, \nour main result (detailed balance = complex balance + cycle ba
lance)\,\nand a corresponding result in the setting of continuous-time Mar
kov chains.\n\nJoint work with Badal Joshi.\n
LOCATION:https://researchseminars.org/talk/MoRN/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Balazs Boros (University of Vienna)
DTSTART;VALUE=DATE-TIME:20210225T163000Z
DTEND;VALUE=DATE-TIME:20210225T170000Z
DTSTAMP;VALUE=DATE-TIME:20210418T121737Z
UID:MoRN/17
DESCRIPTION:Title: Dy
namics of planar deficiency-one mass-action systems\nby Balazs Boros (
University of Vienna) as part of Seminar on the Mathematics of Reaction Ne
tworks\n\n\nAbstract\nFor a deficiency-zero mass-action system with a sing
le linkage class\, whenever there exists a positive equilibrium\, it is gl
obally asymptotically stable. In this talk we discuss what other qualitati
ve behaviors could arise when the deficiency is one. We restrict our atten
tion to the planar case. Joint work with Josef Hofbauer.\n
LOCATION:https://researchseminars.org/talk/MoRN/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tung Nguyen (University of Wisconsin-Madison)
DTSTART;VALUE=DATE-TIME:20210311T160000Z
DTEND;VALUE=DATE-TIME:20210311T163000Z
DTSTAMP;VALUE=DATE-TIME:20210418T121737Z
UID:MoRN/18
DESCRIPTION:Title: Pr
evalence of deficiency zero for random reaction networks\nby Tung Nguy
en (University of Wisconsin-Madison) as part of Seminar on the Mathematics
of Reaction Networks\n\n\nAbstract\nIn the study of reaction networks\, t
here is usually a strong connection between the network structure and the
qualitative behavior of the dynamical system. Certain network structures s
uch as deficiency zero ensure many desirable behaviors of the dynamical sy
stems including existence and stability of equilibrium.\n\nIn this talk\,
I will attempt to address a natural question: how prevalent these structur
es (in particular deficiency zero) are among random reaction networks. To
answer this question\, it is important to have a framework to generate ran
dom reaction networks. I will present two such frameworks: an Erdos-Renyi
framework\, and a stochastic block model framework-which is essentially a
more generalized version of Erdos-Renyi. Next\, I will examine the scaling
limit (as the number of species goes to infinity) of the probability that
a random reaction network has deficiency zero.\n
LOCATION:https://researchseminars.org/talk/MoRN/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alan Rendall (Johannes Gutenberg University Mainz)
DTSTART;VALUE=DATE-TIME:20210408T153000Z
DTEND;VALUE=DATE-TIME:20210408T160000Z
DTSTAMP;VALUE=DATE-TIME:20210418T121737Z
UID:MoRN/19
DESCRIPTION:Title: Us
ing Bogdanov-Takens bifurcations to study existence and stability of perio
dic solutions\nby Alan Rendall (Johannes Gutenberg University Mainz) a
s part of Seminar on the Mathematics of Reaction Networks\n\n\nAbstract\nH
opf bifurcations are a favourite way to prove the existence of periodic\ns
olutions of a dynamical system. The aim of this talk is to describe a vari
ant\nof this procedure using the less familiar concept of a Bogdanov-Taken
s\nbifurcation. Surprisingly\, the latter procedure has the advantage that
\nalthough the bifurcation itself is more complicated the conditions which
need\nto be checked to determine the stability of the periodic solutions
produced are\nmore straightforward. I will give a general discussion of th
ese matters\,\nillustrating them by the example of a model for the kinase
Lck. This is\nbased on work with Lisa Kreusser\, where we studied the occu
rrence of\ninteresting dynamical features\, such as multistability\, perio
dic solutions and\nhomoclinic loops\, in models for enzymes subject to aut
ophosphorylation. I will\nalso discuss how features of this type can be li
fted from smaller to larger\nreaction networks.\n
LOCATION:https://researchseminars.org/talk/MoRN/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Xiaoxian Tang (Beihang University)
DTSTART;VALUE=DATE-TIME:20210422T150000Z
DTEND;VALUE=DATE-TIME:20210422T150000Z
DTSTAMP;VALUE=DATE-TIME:20210418T121737Z
UID:MoRN/20
DESCRIPTION:Title: Mu
ltistability of One-Dimensional Reaction Networks\nby Xiaoxian Tang (B
eihang University) as part of Seminar on the Mathematics of Reaction Netwo
rks\n\n\nAbstract\nWe report our recent progress on multistability of reac
tion networks. For the networks with one-dimensional stoichiometric subspa
ce\, we have the following results.\n (1) If the maximum number of positiv
e steady states is an even number N\, then the maximum number of stable po
sitive steady states\n is N/2.\n (2) If the maximum number of positive ste
ady states is an odd number N\, then we provide a condition on the network
such that the maximum number of stable positive steady states is (N-1)/2
if this condition is satisfied\, and this maximum number is (N+1)/2 otherw
ise.\n
LOCATION:https://researchseminars.org/talk/MoRN/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hyukpyo Hong (KAIST)
DTSTART;VALUE=DATE-TIME:20210513T150000Z
DTEND;VALUE=DATE-TIME:20210513T153000Z
DTSTAMP;VALUE=DATE-TIME:20210418T121737Z
UID:MoRN/21
DESCRIPTION:Title: De
rivation of stationary distributions of stochastic chemical reaction netwo
rks via network translation\nby Hyukpyo Hong (KAIST) as part of Semina
r on the Mathematics of Reaction Networks\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/MoRN/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Amirhosein Sadeghimanesh (Coventry University)
DTSTART;VALUE=DATE-TIME:20210422T153000Z
DTEND;VALUE=DATE-TIME:20210422T160000Z
DTSTAMP;VALUE=DATE-TIME:20210418T121737Z
UID:MoRN/22
DESCRIPTION:Title: St
udying dynamical behavior of the three connected populations with Allee ef
fect using algebraic tools\nby Amirhosein Sadeghimanesh (Coventry Univ
ersity) as part of Seminar on the Mathematics of Reaction Networks\n\n\nAb
stract\nWe consider three connected populations with the strong Allee effe
ct\, and give a complete classification of the steady state structure of t
he system with respect to the Allee threshold and the dispersal rate. One
may expect that by increasing the dispersal rate between the patches\, the
system would become more well-mixed hence simpler. However\, we show that
it is not always the case\, and the number of steady states may (temporar
ily) increase by increasing the dispersal rate. Besides sequences of pitch
fork and saddle-node bifurcations\, we find triple-transcritical bifurcati
ons and also a sun-ray shaped bifurcation where twelve steady states meet
at a single point then disappear. The major tool of our investigations is
a novel algorithm that decomposes the parameter space with respect to the
number of steady states using cylindrical algebraic decomposition with res
pect to the discriminant variety of the polynomial system. This is a joint
work with Gergely Röst.\n
LOCATION:https://researchseminars.org/talk/MoRN/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nicolette Meshkat (Santa Clara University)
DTSTART;VALUE=DATE-TIME:20210408T150000Z
DTEND;VALUE=DATE-TIME:20210408T150000Z
DTSTAMP;VALUE=DATE-TIME:20210418T121737Z
UID:MoRN/23
DESCRIPTION:Title: Ab
solute concentration robustness in networks with many conservation laws\nby Nicolette Meshkat (Santa Clara University) as part of Seminar on the
Mathematics of Reaction Networks\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/MoRN/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Carsten Wiuf (University of Copenhagen)
DTSTART;VALUE=DATE-TIME:20210520T150000Z
DTEND;VALUE=DATE-TIME:20210520T153000Z
DTSTAMP;VALUE=DATE-TIME:20210418T121737Z
UID:MoRN/24
DESCRIPTION:by Carsten Wiuf (University of Copenhagen) as part of Seminar
on the Mathematics of Reaction Networks\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/MoRN/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mercedes Perez Millan (Universidad de Buenos Aires)
DTSTART;VALUE=DATE-TIME:20210520T153000Z
DTEND;VALUE=DATE-TIME:20210520T160000Z
DTSTAMP;VALUE=DATE-TIME:20210418T121737Z
UID:MoRN/25
DESCRIPTION:by Mercedes Perez Millan (Universidad de Buenos Aires) as part
of Seminar on the Mathematics of Reaction Networks\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/MoRN/25/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nicola Vassena (FU Berlin)
DTSTART;VALUE=DATE-TIME:20210513T153000Z
DTEND;VALUE=DATE-TIME:20210513T160000Z
DTSTAMP;VALUE=DATE-TIME:20210418T121737Z
UID:MoRN/26
DESCRIPTION:by Nicola Vassena (FU Berlin) as part of Seminar on the Mathem
atics of Reaction Networks\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/MoRN/26/
END:VEVENT
END:VCALENDAR