## Journals

- Advances in Mathematics of Communications
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- Discrete & Continuous Dynamical Systems - A
- Discrete & Continuous Dynamical Systems - B
- Discrete & Continuous Dynamical Systems - S
- Evolution Equations & Control Theory
- Inverse Problems & Imaging
- Journal of Computational Dynamics
- Journal of Dynamics & Games
- Journal of Geometric Mechanics
- Journal of Industrial & Management Optimization
- Journal of Modern Dynamics
- Kinetic & Related Models
- Mathematical Biosciences & Engineering
- Mathematical Control & Related Fields
- Mathematical Foundations of Computing
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- Numerical Algebra, Control & Optimization
- Electronic Research Announcements
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- AIMS Mathematics

MBE

We describe finite element simulations of limb growth based on Stokes flow models with
a nonzero divergence representing growth due to nutrients in the early stages of limb bud development.
We introduce a ''tissue pressure'' whose spatial derivatives yield the growth velocity in the limb
and our explicit time advancing algorithm for such tissue flows is described in detail.
The limb boundary is approached by spline functions to compute the curvature and
the unit outward normal vector. At each time step, a mixed-hybrid finite element problem is solved,
where the condition that the velocity is strictly normal to the limb boundary is treated
by a Lagrange multiplier technique. Numerical results are presented.

MBE

Intracellular signaling often employs excitable stores of calcium
coupled by diﬀusion. We investigate the ability of various geometric conﬁgurations of such excitable stores to generate a complete set of logic gates
for computation. We also describe how the mechanism of excitable calcium-induced calcium release can be used for constructing coincidence detectors for
biological signals.

keywords:
Biological Signaling.
,
Diffusion
,
Logic Gates
,
Computation
,
Calcium-Induced Calcium Release

## Year of publication

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