Agent-based modeling of morphogenetic systems: Advantages and challenges
The complexity of morphogenesis poses a fundamental challenge to understanding the
mechanisms governing the formation of biological patterns and structures. Over the past …
mechanisms governing the formation of biological patterns and structures. Over the past …
Reconciling diverse mammalian pigmentation patterns with a fundamental mathematical model
Bands of colour extending laterally from the dorsal to ventral trunk are a common feature of
mouse chimeras. These stripes were originally taken as evidence of the directed …
mouse chimeras. These stripes were originally taken as evidence of the directed …
Drug-induced resistance in micrometastases: analysis of spatio-temporal cell lineages
J Pérez-Velázquez, KA Rejniak - Frontiers in Physiology, 2020 - frontiersin.org
Resistance to anti-cancer drugs is a major cause of treatment failure. While several
intracellular mechanisms of resistance have been postulated, the role of extrinsic factors in …
intracellular mechanisms of resistance have been postulated, the role of extrinsic factors in …
The invasion speed of cell migration models with realistic cell cycle time distributions
Cell proliferation is typically incorporated into stochastic mathematical models of cell
migration by assuming that cell divisions occur after an exponentially distributed waiting …
migration by assuming that cell divisions occur after an exponentially distributed waiting …
Stochastic models of cell invasion with fluorescent cell cycle indicators
Fluorescent cell cycle labelling in cell biology experiments provides real time information
about the location of individual cells, as well as the phase of the cell cycle of individual cells …
about the location of individual cells, as well as the phase of the cell cycle of individual cells …
Stochastic and deterministic modeling of cell migration
E Gavagnin, CA Yates - Handbook of statistics, 2018 - Elsevier
Mathematical models are vital interpretive and predictive tools used to assist in the
understanding of cell migration. There are typically two approaches to modeling cell …
understanding of cell migration. There are typically two approaches to modeling cell …
Exact solutions of coupled multispecies linear reaction–diffusion equations on a uniformly growing domain
Embryonic development involves diffusion and proliferation of cells, as well as diffusion and
reaction of molecules, within growing tissues. Mathematical models of these processes often …
reaction of molecules, within growing tissues. Mathematical models of these processes often …
[HTML][HTML] Stochastic clonal expansion of “superstars” enhances the reserve capacity of enteric nervous system precursor cells
D Zhang, JM Osborne, KD Abu-Bonsrah… - Developmental …, 2018 - Elsevier
We quantified cell population increase in the quail embryo enteric nervous system (ENS)
from E2. 5 (about 1500 cells) to E12 (about 8 million cells). We then probed ENS …
from E2. 5 (about 1500 cells) to E12 (about 8 million cells). We then probed ENS …
On a Mathematical Model Arising from an Optimal Chemotherapeutic Drug Treatment for Tumor Cells
HM Yin - arXiv preprint arXiv:2212.05146, 2022 - arxiv.org
In this paper we consider an optimal control problem arising from a chemotherapeutic drug
treatment for tumor cells in a living tissue. The mathematical model for the interaction of …
treatment for tumor cells in a living tissue. The mathematical model for the interaction of …
Addressing interdisciplinary difficulties in developmental biology/mathematical collaborations: A neural crest example
DF Newgreen, KA Landman, JM Osborne - Neural Crest Cells: Methods …, 2019 - Springer
Mathematical modeling can allow insight into the biological processes that can be difficult to
access by conventional biological means alone. Such projects are becoming increasingly …
access by conventional biological means alone. Such projects are becoming increasingly …