Residual-Based Error Estimates Can Stabilize Adaptive Time Steps in Runge-Kutta Solvers
A new analysis shows that simple proportional controllers make adaptive step size control unstable for explicit Runge-Kutta methods, while PI ...
Tag: ordinary differential equations
Math Model Shows CAR T-Cell Therapy Outperforms Chemotherapy Against Leukemia
A new mathematical model comparing chemotherapy and CAR T-cell therapy for leukemia finds that simulated T-cell infusion produces a stronger ...
OPCNet Learns Oscillatory Patterns by Reading Data as an ODE Solution
The new OPCNet neural network fits highly oscillatory data by learning the dynamics of a linear ODE and fitting the ...
Transient Dynamics Reveal Hidden Weaknesses in Standard Antibiotic Testing
A new computational study of Pseudomonas aeruginosa shows that transient population dynamics and inoculum size fundamentally reshape antibiotic susceptibility, prompting ...
Smart Controller Turns Cardiovascular Models Into Reliable Digital Twins for Childhood Sepsis
A new calibration framework called the Embedded Feedback Controller drives mechanistic cardiovascular models to a unique, physiologically consistent solution and ...
New Kinetic Model Tracks How Vitamin D3 Rides Micelles Through Digestion
Researchers have built the first integrated differential-equation model of vitamin D3 bioaccessibility, showing that micelle formation—not micellar uptake—is the rate-limiting ...
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Mothers who receive childcare support from maternal grandparents show more parental warmth, finds NTU Singapore study
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University of Seville Breaks 120-Year-Old Mystery, Revises a Key Einstein Concept
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Bee body mass, pathogens and local climate influence heat tolerance
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Researchers record first-ever images and data of a shark experiencing a boat strike
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Groundbreaking Clinical Trial Reveals Lubiprostone Enhances Kidney Function
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