• Giuseppe Jordão (FCUP) "Mathematical models in cancer"

Abstract: In this talk deterministic mathematical models are derived from biochemical models within a human cell in two distint cases, for comparison: healthy cell and cancerous cell. The former model is based in [Novak and Tyson 2004] and [Restriction point control of the mammalian cell cycle via the cyclin E/Cdk2:p27 complex] and makes use of the scheme done in [Sherr 2002] and the MAPK Cascade [put reference on MAPK Cascade] to create a wider updated model for the regulation of a healthy cell. The latter model, for the cancer cell, is derived from the healthy cell model by altering specific pathways using as guidance to do so literature on specific types of cancer which have major social impact and whose literature has been already widely studied [put reference on this specific cancer], even though it’s a cancer
with a high mortality rate. After studying both models, we propose therapies with different approaches: Cell Cycle arrest and Apoptosis. We also compare the mathematical models efficacy and usefulness in providing enough information from which to derive ideas for therapies.

  • Alejandro F Villaverde (IIM-CSIC, Vigo, Spain) "Identifiability of mathematical models in biology: concepts, methodologies, relationships and implications."
Abstract: Dynamic models of biological systems are often formulated as sets of non-linear ordinary differential equations. They typically have unknown kinetic parameters, which must be determined by calibrating the model with experimental data. A necessary condition for parameter estimation is identifiability [1], the property that, for a certain output, there is a unique (or finite) set of parameter values that produces it. Identifiability can be analysed from two complementary points of view: structural (which searches for symmetries or deficiencies in the model equations that may prevent parameters from being uniquely determined) or practical (which focuses on the limitations introduced by the quantity and quality of the data available for parameter estimation). In this talk we will focus on structural identifiability, which is a classic system-theoretic concept that has close relationships with other structural properties such as observability, controllability, and distinguishability. Indeed, if parameters are considered as state variables, structural identifiability can be studied in the same way as observability using a differential geometric approach, which allows the use of a powerful set of tools for its analysis [2]. The identifiability viewpoint is also advantageous for studying other concepts that have been proposed in more recent times to describe biological robustness, such as sloppiness [3] or dynamical compensation [4]. In this talk we will: (i) introduce identifiability concepts, (ii) explain the implications of lack of identifiability in biological models, (iii) present a differential geometry method to analyse structural identifiability, (iv) analyse the relationship between structural identifiability, observability, controllability, and distinguishability, and (v) discuss the similarities and differences between identifiability and newly introduced concepts such as sloppiness and dynamical compensation.


[1] AF Villaverde, A Barreiro (2016) Identifiability of Large Nonlinear Biochemical Networks.
MATCH Communications in Mathematical and in Computer Chemistry, 76(2):259-296
[2] AF Villaverde, A Barreiro, A Papachristodoulou (2016) Structural identifiability of dynamic systems biology models.
PLOS Computational Biology, 12(10):e1005153
[3] O-T Chis, AF Villaverde, JR Banga, E Balsa-Canto (2016) On the relationship between sloppiness and identifiability.
Mathematical Biosciences, 282:147-161

[4] AF Villaverde, JR Banga (2017) "Dynamical compensation and structural identifiability: analysis, implications, and reconciliation". arXiv:1703.08415


Time Performance Reports  from an Emergency Service
Authors: Margarida Pereira, Isabel Cachapuz
Unidade Local de Saúde de Matosinhos
Abstract (pdf)

Vitamin D Insufficiency in Matosinhos Local Health Unit: A Laboratory Perspective
Authors: Pereira M, Carvalho A, Pinto, C,Cachapuz
Unidade Local de Saúde de Matosinhos – ULSM, E.P.E. - Serviço de Patologia Clínica, Faculdade de Ciências da Universidade do Porto, Instituto Superior de Engenharia do Porto & CMUP.
 Abstract (pdf)

Deciphering a prototypical MAP kinase signaling network using a genetically-encodable optogenetic INPUT/ERK biosensor OUTPUT circuit
Authors: Coralie Dessauges(1), Maciej Dobrzynski(1), Yannick Blum(1), Mustafa Khammash(2), Olivier Pertz(1).
(1). Institute of Cell Biology, University of Bern,
(2). Department of Biosystems Science and Engineering, ETH-Zurich.

Abstract (pdf)

Understanding single cell - level MAPK activation dynamics for manipulation of neuronal stem cell self - renewal and differentiation fates
Authors:Pascal Ender (1), Maciej Dobrzynski (1), Andrea Erni (2), Verdon Taylor (2), Olivier Pertz (1)
(1) University of Bern, Instute of Cell Biology;
(2) University of Basel, Department of Biomedicine
Abstract (pdf)

A mathematical model of the phosphoinositide pathway in human pulmonary
epithelial cells.

Authors:Daniel Vigário Olivença(1), Francisco Pinto(1), Eberhard Voit(2)
(1) BIOISI: Biosystems and Integrative Sciences Institute. Faculdade de Ciências da Universidade de Lisboa Campo Grande 1749-016 Lisboa, Portugal;
(2) The Wallace H. Coulter Department of Biomedical Engineering, Georgia
Institute of Technology and Emory University, 950 Atlantic Drive, Atlanta, Georgia, 30332-2000, USA;
Abstract (pdf)