14 citations · 35 across the 13 of their papers we have counts for
14 papers
Interdependence of sodium and potassium gating variables in the Hodgkin-Huxley model
Lízia Branco, Rui Dilão
We explore the relationship between sodium (Na) and potassium (K) gating variables in the 4-dimensional (4D) Hodgkin-Huxley (HH) electrophysiology model, and reducing its c…
Modelling and calibration of pair-rule protein patterns in Drosophila embryo: From Even-skipped and Fushi-tarazu to Wingless expression networks
Catarina Dias, Rui Dilão
We modelled and calibrated the distributions of the seven-stripe patterns of Even-skipped (\textit{Eve}) and Fushi-tarazu (\textit{Ftz}) pair-rule proteins along the anteroposterio…
Formation and Optimisation of Vein Networks in Physarum
Rodrigo Almeida, Rui Dilão
Physarum polycephalum is an acellular slime mould that grows as a highly adaptive network of veins filled with protoplasm. As it forages, Physarum dynamically rearranges its networ…
Action potential solitons and waves in axons
Gaspar Cano, Rui Dilão
We show that the action potential signals generated inside axons are reaction-diffusion solitons or reaction-diffusion waves, refuting the Hodgkin and Huxley hypothesis that action…
A solvable walking model for a two-legged robot
Rui Dilão, Nuno Teixeira
We present a solvable biped walking model based on an inverted pendulum with two massless articulated legs capable of walking on uneven floors and inclined planes. The stride of th…
Adaptive Hagen-Poiseuille flows on graphs
Rodrigo Almeida, Rui Dilão
We derive a class of equations describing low Reynolds number steady flows of incompressible and viscous fluids in networks made of straight channels, with several sources and sink…
Computing the topological entropy of unimodal maps
Rui Dilão, José Amigó
We derive an algorithm to determine recursively the lap number (minimal number of monotone pieces) of the iterates of unimodal maps of an interval with free end-points. The algorit…
Calibration and validation of a genetic regulatory network model describing the production of the gap gene protein Hunchback in \emph{Drosophila} early development
R. Dilão, D. Muraro
We fit the parameters of a differential equations model describing the production of gap gene proteins Hunchback and Knirps along the antero-posterior axis of the embryo of \emph{D…
The Exact Value for European Options on a Stock Paying a Discrete Dividend
João Amaro de Matos, Rui Dilão, Bruno Ferreira
In the context of a Black-Scholes economy and with a no-arbitrage argument, we derive arbitrarily accurate lower and upper bounds for the value of European options on a stock payin…
Statistical Mechanics of Two-player Iterated Games
Rui Dilao, Joao Graciano
We construct a statistical ensemble of games, where in each independent subensemble we have two players playing the same game. We derive the mean payoffs per move of the representa…
A General Approach to the Modelling of Trophic Chains
Rui Dilao, Tiago Domingos
Based on the law of mass action (and its microscopic foundation) and mass conservation, we present here a method to derive consistent dynamic models for the time evolution of syste…
The Dynamics of Knotted Strings Attached to D-Branes
Ricardo Schiappa, Rui Dilao
We extend the general solution to the Cauchy problem for the relativistic closed string (Phys. Lett. B404 (1997) 57-65, hep-th/9704084) to the case of open strings attached to Dp-b…
Validation and Calibration of Models for Reaction-Diffusion Systems
Rui Dilao, Joaquim Sainhas
Space and time scales are not independent in diffusion. In fact, numerical simulations show that different patterns are obtained when space and time steps ( and ) are varie…
Stable Knotted Strings
Rui Dilao, Ricardo Schiappa
We solve the Cauchy problem for the relativistic closed string in Minkowski space , including the cases where the initial data has a knot like topology. We give the genera…